{"text":"Question: Suppose -4*l - 2*r + 24 = 0, -4*r = 5*l - 3*r - 36. Let y(i) = -i**3 + 7*i**2 + 10*i - 8. What is y(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -347 from 10670570739.83.\nAnswer: 10670571086.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6806138, -6806142, -6806146?\n\"Answer: -4*d - 6806134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3, -120, -455, -1104, -2169, -3752, -5955, -8880?\n\"Answer: -17*r**3 - 4*r**2 + 8*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*(-13)\/13*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3153 + 3153. Let t(a) be the first derivative of 1\/3*a**2 + i*a + 2\/9*a**3 + 16 - 21\/8*a**4. Factor t(x).\nAnswer: -x*(7*x - 2)*(9*x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80958*j - 2*u = 80959*j - 56, 5*j - u = 258 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7451 greater than 3101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -1. Let d = t + 0.99995. What is d rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/75 and -67\/8571900?\nAnswer: 8571900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318*w - 168 = 339*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -61490 and -526.301.\nAnswer: -62016.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1243691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -24785 divided by -5?\nAnswer: 4957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 29*l**2 + 35*l - 15. Let d(z) = -z**3 + 34*z**2 + 36*z - 17. Let y(p) = 8*d(p) - 9*q(p). Determine y(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + 8*a + 12. Let b be x(9). Suppose 2*l - 4*j = 3*l - 163, b*l - 489 = j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22706137\/445 + 51025. Let u = q + 7781\/8010. What is the common denominator of 95\/2 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46951 by -6.\nAnswer: -46951\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 532 + -535. Which is the third biggest value?  (a) 0.2  (b) n  (c) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-3.1\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 9*w + 19. What is u(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one half of a litre in millilitres?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4087573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 202804 - 2229104\/11. Let k = -158 + y. What is the biggest value in k, -3\/4, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 10236*b + 2640876. What is r(-258)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 1324*c**2 + 4. Let a(g) = -6630*g**2 - 21. What is 2*a(h) + 11*k(h)?\nAnswer: 1304*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7000126667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = k + 3*d, 4*k + 0*d = -d + 24 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 + 59*q**2 - 148*q - 248. List the prime factors of v(53).\nAnswer: 2, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.02 - 0.23. Let u = -0.28 - n. Round u to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 788300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4037.6 - -4037.9. What is the closest to k in 5, 1, 0.125, -1?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -514, -508, -498, -484?\n\"Answer: 2*y**2 - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(640) + sqrt(640)*1 + sqrt(640))\/(sqrt(392)*-4))**2.\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -1  (c) -12  (d) -7  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t + 0*t - 3*t)*(-7 + 4 - 7)*(2 - 2 + 2*t) to the form z*t**2 + r + c*t and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(200)\/sqrt(5))\/sqrt(8))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(4*(-5)\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-4 + sqrt(243))*-3 + -1)**2.\nAnswer: -324*sqrt(3) + 2223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of 5*n**2 + 7\/6*n**3 + 0*n**5 + 0 + 0*n + 0*n**6 + 1\/210*n**7 + 0*n**4. What is the first derivative of t(r) wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 3*w + 12, 0 = 2*r - w - w - 4. Let i be r*(6 - 7) - -3. Solve -p + 4*y - 17 = 0, 15 = 4*p - 3*p + i*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6589, 13270, 19967, 26680?\n\"Answer: 8*f**2 + 6657*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -c**3\/3 + 6*c**2 - 14*c + 4. Calculate the remainder when 23 is divided by i(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -50*w - 30. Let z be n(10). Let j = -320 - z. What is the highest common factor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 4*z + 16. Suppose -55 + 7 = -6*x. Calculate the smallest common multiple of m(0) and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 4) + -3 + 3 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9\/5, -1, 0.1, -0.2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 24 = -37. Let j be (-8 + n)\/((-1)\/(-4)). Suppose 20 = w - j. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 312 and 15647364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**4\/6 + 2*o**2. Let j(q) be the first derivative of -q**3 - 834. Determine j(z(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6360*o**3 + 2169*o - 2169*o.\nAnswer: 6360*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 - 1342*o + 884. Let c(f) = -f. What is d(c(l))?\nAnswer: 2*l**2 + 1342*l + 884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -101101100011001010100 (base 2) to base 16\nAnswer: -16c654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 13. Suppose 0 = -106*q + 4178 + 638 + 2074. What is the remainder when q is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 358 = 4*i. Calculate the remainder when i is divided by (14 - (-406)\/(-28))\/(((-18)\/68)\/9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917530 a multiple of 1138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/10*(0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/66 and -31\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -5.6. Let m be 1 - (0 - -3)*21\/49. Which is the third smallest value?  (a) 8  (b) f  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -4*x + 1 - 131, 0 = 3*n + x - 95. Suppose 50*a = 56*a - n. Calculate the remainder when 14 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7795150*-1.\nAnswer: 7795150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -112*k**3 - 14*k**2 + 23*k - 4. What is j(2)?\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 8*c**2 - 8*c + 6. What is the units digit of y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 98*w - 94*w - 174 = 0, 0 = -3*w - 12. Calculate the highest common factor of 32585 and i.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 431*u + 27. Let y(b) = -431*b - 22. Calculate -5*f(s) - 6*y(s).\nAnswer: 431*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 509424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3030013 + 3?\nAnswer: -3030010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*h + 12*h = -29*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + u + u = 100, 0 = -a + 5*u - 70. Let w = a - -47. Sort 3, 0, w, 4 in descending order.\nAnswer: 4, 3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a - 4. Let t = -28 - -34. Suppose t*i - i + 250 = 0. Let x be (i\/(-16))\/(-1) + 25\/200. Give w(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, l: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2656 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**2 - m**3 + 2*m**2 + (m - 4*m + 5*m)*(-3407*m + 3407*m - 65*m**2).\nAnswer: -131*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10\/28)\/((-36)\/(-504)). Let s be (-2640)\/(-198) - (-1 + l)\/1. Let -4\/3*w**3 + 4\/3*w**4 + 52\/3*w - s*w**2 - 8 = 0. What is w?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*r = -3*r - 23 - 97 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*i*k*s**2 - 5*i*k*s + 15*i*s + 2*i + 11*k*s + 70*s**2 wrt i?\nAnswer: 2*k*s**2 - 5*k*s + 15*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 25772*i - 515441. Determine t(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**5\/7 + 6*j**4 + 60*j**3 - 22888*j**2\/7 + 18432*j\/7 + 963072\/7 = 0.\nAnswer: -22, -6, 8, 24, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**4\/6 - 7220*g**3\/3 + 13032100*g**2 - 8382*g. Factor p(v).\nAnswer: 2*(v - 3610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8c (base 16) to base 9.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o + 10. Let w be t(-10). Let u be (-14 - w) + (8 - 1). Solve -5*p = -u*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - t + 0*t - 12 = 0, -171*t + 176*t = -90 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1005478 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 33706*b + 5656781. What is v(167)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 80 - 78. Solve -b = -3*n + 2, q*b - 3*b + 5 = 4*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68296804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.325338 + 152.7\nAnswer: 153.025338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 37\/53 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**2 - 6*z. Let y(n) = -1108*n**2 - 10*n. Calculate 2*j(c) - y(c).\nAnswer: 1112*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0468 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 825270?\nAnswer: 2, 3, 5, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -15*t - 22. Calculate v(-16).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 665676931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - 56 = -0. Suppose 72 = 13*x - i*x. What is the remainder when 4 is divided by (-2)\/x - (-315)\/140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -8 - -10 - (0 + (-6)\/(-3)). Solve -4*t + u = g + 6, g + 2 = -2*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + (-21 + 11 - -26) - 8) + 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 3:21 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 u, and 1 n when three letters picked without replacement from {s: 1, u: 3, n: 5, r: 3, b: 6}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 125527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide (1024\/12)\/(-4)*714\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 4 = 12*p. Let j(n) = 7*n**2 - 10*n**p - n**2 + 3 - n**3 - n. Calculate j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 992*p + 370. Let b(x) = -493*x - 186. Let z(k) = 13*b(k) + 6*y(k). Differentiate z(o) with respect to o.\nAnswer: -457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1083418825746.701 - 1083884994814.7010058. Let b = 466169111 + j. Let v = b - 43. What is v rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -4*r**2 + 14*r - 6. Let v(i) = -i**2 + 5*i - 2. Give -5*m(g) + 14*v(g).\nAnswer: 6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111000 (base 2) to base 7.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2103028198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1248 + 28.9152. Let j = o + -29. Let s = j + -0.1. Which is the third smallest value?  (a) s  (b) -1  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -141421442352 and -164?\nAnswer: 141421442188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j**3 + 53*j**3 + 120*j**3.\nAnswer: 163*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**3 + 1028*h**2 - 131064*h - 266256 = 0.\nAnswer: -2, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(-1\/2)*y**6*(y**(-2))**(38\/7)*(y**1\/y*y*y)\/y**(-3\/5)*((y*y**(-2\/3))\/y)**(-15) assuming y is positive.\nAnswer: y**(647\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 122, 1?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -112*m - 8. Let h(o) be the first derivative of -56*o**2 - 9*o - 17. Let v(c) = -3*h(c) + 4*i(c). Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 190555, 381105, 571629, 762127, 952599, 1143045, 1333465?\n\"Answer: -13*a**2 + 190589*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -1006*o - 933. Determine u(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26372687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/165 and -12\/35?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 z when three letters picked without replacement from {n: 2, u: 10, w: 3, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2831 (base 9) to base 15\nAnswer: -974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -99, -210, -355, -552, -819?\n\"Answer: -3*r**3 + r**2 - 93*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 - (-4 + 5 + 1 + (-7 - (14 + -24)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*h + 26*h + 74*h + 28*h.\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 2106?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/6*6*1. Suppose 0 = 5*s + 3*j - 15, -r*s - 2*j - 34 = -7*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14049\/152 greater than -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -38961 + 271788\/7. Let u = -134 - b. Put 5, -15, u in increasing order.\nAnswer: -15, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1590 + 1590.05. Which is the nearest to l?  (a) -4  (b) 0.5  (c) 4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 6:01 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-34)\/(-8) + 1\/(7\/(-28))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 + 6*v - 3. Let w be i(2). Let a = -521 + 526. Solve 0 = a*c + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from offjofo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -11*w**3 - 13*w + 9. Let p(q) = 6*q + 4786 - 4790 + 5*q**3 - 3*q**2 + 3*q**2. Let a be -2 + (-4)\/(-2) - 13. Determine a*p(k) - 6*b(k).\nAnswer: k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*v**2 - 3916270*v + 3916270*v.\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 643377?\nAnswer: 3, 7, 30637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.069*196.\nAnswer: -13.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = k. Suppose 0*y + 2*h - 92 = -5*y, 5*h - 80 = -5*y. Solve 4*w = -k*w - y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*c - 119 = 7*x, -5*x - 131 = 2*c. Let j = -92 - -134. Let y = x + j. Solve 4*z + 4*t - 2 = -t, -y = -5*z + t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4681 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1a43c5 (base 16) to base 13\nAnswer: 483617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w = -24, 3*w - 4 + 13 = 5*z - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17.44 + -0.96. Let d = 0.6 - m. Let t = d - 23. Which is the smallest value?  (a) -0.4  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589596.\nAnswer: 2, 3, 7, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p + 5. Let u(v) = -v - 1. Let k = -412 + 451. Suppose 2*y + 5*m - 27 = 0, m + 6 - k = -5*y. Determine y*u(b) + w(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 108*n**2 + 29*n + 73. Is r(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 6 = 2*m - 8, 12 = 5*p - 3*m. Suppose 3*v = -v - p*v. Which is smaller: v or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(20)\/sqrt(4)))\/(sqrt(1000)*2)*3.\nAnswer: 3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 16 - 3 = -g, 3*f = 2*g + 7. Let 60 + 354*r**4 + 39*r**4 - 7*r - 777*r**2 - 29*r - 36*r**f - 252*r**3 = 0. Calculate r.\nAnswer: -1, -1\/3, 1\/4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20810348 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3389 - -3406. Calculate the least common multiple of a and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/3  (b) 2  (c) -0.2  (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 52 + 743?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 j when four letters picked without replacement from jdqht?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -346768216802.08 and 3.\nAnswer: -346768216799.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/9)*p*p)**11*p**(-8)\/(p\/(p*p**(4\/3)))*(p**(-1\/2)*(p\/(p**4\/p)*p*p)\/p*p)**(2\/15) assuming p is positive.\nAnswer: p**(577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 28c2?\nAnswer: -28bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(9) - sqrt(324)*-1)\/(-2*sqrt(3)*2 + sqrt(3)).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + a - 2*a)*(-172*a - 68*a - 155*a) + 3*a**2 + 2*a**2 - 4*a**2.\nAnswer: -394*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00033774 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -11, 2 in descending order.\nAnswer: 2, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3710 divided by -3710.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1323308717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/7)\/y)\/(y*y**(-2))*((y\/y**(3\/7))\/y*y)\/y**(3\/4))\/(y**3\/y**(4\/3))**(8\/11) assuming y is positive.\nAnswer: y**(-1549\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2513875, 5027749, 7541623?\n\"Answer: 2513874*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2622798 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -1  (c) -285\/11  (d) 1\/3  (e) 5  (f) -1.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hxxhxllihillrlllg. What is prob of picking 1 g, 1 l, and 1 h?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18470 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: Let d(p) be the second derivative of -p**4\/6 - p. Let t(x) = -32*x + 12. Let b(z) = -2 + 7 - 16*z + 3*z. Let c(o) = -12*b(o) + 5*t(o). Calculate c(d(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.011?  (a) -1\/2  (b) -1  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*((x*x\/(x*x**(-2\/17)*x))\/x)\/x*x)\/(x*x*x*x**10)*(x**0)**(-29) assuming x is positive.\nAnswer: x**(-219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -23. Let b be (1 - -3)*(a - -1). What is the units digit of ((-30)\/24)\/((-1)\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/9 and -155\/240576.\nAnswer: 721728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/300 and 11\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 505766, 1011531, 1517296, 2023061?\nAnswer: 2528826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1c1e7 (base 16) to base 12.\nAnswer: -5679b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9768.19 - 83.823?\nAnswer: 9684.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -85*q**2 + 8*q - 2*q - 2*q**3 - 3*q**3 - 11*q**3 + 75*q**2 = 0.\nAnswer: -1, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*f - 54*f = 0. Let a(g) be the third derivative of f*g + 0 - 8\/3*g**3 + 5\/3*g**4 - 21*g**2. What is the derivative of a(r) wrt r?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -5*u**3\/3 + 3204. Let z(j) be the third derivative of j**4\/6 + j**3\/2 - 13*j**2. Calculate g(z(h)).\nAnswer: -80*h**2 - 120*h - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (4 + (-3 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -376 (base 11) in base 10?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 5:22 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1160 = 230*s - 2*l, 35 = -89*s + 92*s - 4*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 904188111 to the power of 1\/2, to the nearest integer?\nAnswer: 30070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 111100011110111001 (base 2) to base 12\nAnswer: bb449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -122 in descending order.\nAnswer: 3, -3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 98.9.\nAnswer: -49.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 3*y - 13, 6*y + 1206 = 9*w + 1227 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, 863 in descending order.\nAnswer: 863, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 444 - 431. Let s(n) be the third derivative of -n**4\/24 + 26*n**3\/3 - 2*n**2. Let u be s(0). Calculate the greatest common factor of k and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 6582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**3 - 3539*z**2 + 31682*z + 76. Determine g(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -2, 311 in descending order.\nAnswer: 311, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/12*-1*16\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -15*i**3 + 5*i**2 + 5. Let f = -3 + -3. Let v = f - -13. Let u(j) = -20*j**2 + 11*j**2 + 2*j**2 - 7 + 7*j**3 + 15*j**3. Determine v*s(c) + 5*u(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-96)\/(-36)*(-1026)\/(-456).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 182 and 10062962.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or -1.595?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*p - 27*p - 4 = 2*u, u + 6 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 158312 and 99869.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175393844 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of 0 + 0*s**4 + 7*s**2 + 1\/4*s**5 + 0*s**3 + 0*s**6 - 13\/210*s**7 + 0*s. What is the third derivative of b(n) wrt n?\nAnswer: -312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2*(sqrt(7) - (-2 + sqrt(7) + -1) - sqrt(7)) + -3)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - m - 2. Suppose 0 = -2*k - 0 + 12. Let q(f) = -3*f - f**3 - f - k*f**2 + 0*f**3 - f. Let y be q(-5). Calculate r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1896000 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**7\/105 - 697*h**5\/60 + 947*h**4\/12 - 2201*h**2. Find the second derivative of f(g) wrt g.\nAnswer: 24*g**2 - 1394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 2*h + 12 = 0, -k - 295066*h = -6*k - 295105*h - 132 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 290\/(-35) + 2\/7. Let j = z + 3. Let x = 8 + j. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3008 + 3437?\nAnswer: 6446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 49528035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 141909 + -97426. Let k = 172231\/4 - j. Let f = -1416 - k. Calculate the common denominator of 77\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1302\/93*(-1 + -3)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -174*p**2 - 116*p + 116. Let q be (2\/(-6))\/(9 + -1 - (-325)\/(-39)). Let c(f) = -f**2 - f + 1. Give q*a(x) - 116*c(x).\nAnswer: -58*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 6*s**2 + 2. Let a(w) = 2*w. What is g(a(t))?\nAnswer: 24*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 148 - 121. Suppose 0 = b - 5*a - 5 - o, a = 4*b - 52. Suppose 3*d - 2*i = -0*d + 248, -250 = -3*d + i. Calculate the highest common factor of d and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 19. What is q(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84\/(-56)*10\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (16\/7)\/(2\/1757)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(2 + -3) - 0. Let r = 451.02 - 455. Let z = 0.02 - r. Which is the second biggest value?  (a) z  (b) k  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**2 - 4*d + 12. Let p be y(3). Let m = p - -20. Suppose 4*r - 10 = -a, 4*a - 105 = m*r - 5*r. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 1. Let v(r) = 0*r + 2*r + 2 + 2. Let p(s) = -s**3 - s**2 - 4*s - 5. Let n be p(-1). Let h(x) = x - 1. Let a be h(3). What is a*t(c) + n*v(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2.298957 * 1\nAnswer: -2.298957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5696 - 5696.2. Is l <= -0.4773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of 241*s**6\/30 - 29*s**5\/30 - s**2 + 419. What is the third derivative of w(h) wrt h?\nAnswer: 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, s: 5, l: 4}. What is prob of sequence ss?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -850456815 - -0.0413.\nAnswer: -850456814.9587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2. Let h(a) = -a. Let y(b) = -27*b. Let g(v) = 36*h(v) - y(v). What is g(i(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -6*d + 264. Let s be g(13). Calculate the greatest common factor of s and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -228, -3, -38 in decreasing order.\nAnswer: -1, -3, -38, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o + 0 + 2 + o**3 - 3. Let a(z) be the third derivative of -z**6\/30 + 3*z**4\/8 + 2*z**3\/3 + 4*z**2. Suppose 2*k = -1 + 19. Give k*m(g) + 2*a(g).\nAnswer: g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0 - 2 = -3*t, 0 = 4*q - t - 6. Let j = 0 + q. Is (-59)\/(j*(-1)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccdkd. What is prob of sequence cdcd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3 = -3. Let h(q) = q**3 + 3*q**2 - 3*q - 2. Let c be h(-3). Suppose 0 = y*t - 3*t + c. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/((-224)\/(-16))*(-10)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4  (b) 141  (c) 4\/11  (d) -3  (e) -11  (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1212 + -260309?\nAnswer: -261521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5964, 23786, 53444, 94944, 148292?\nAnswer: 213494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -387, -769, -1145, -1515, -1879, -2237?\n\"Answer: 3*j**2 - 391*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.08802 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 50286?\nAnswer: 603432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-12)*(15 + 1). Let v = t - 6. What is the second biggest value in 1, -1\/7, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 44 = 2*b, 0 = 2*p - 1766*b + 1761*b + 112 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69 + 30 - -19) + 23 - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1331898223 to the power of 1\/2, to the nearest integer?\nAnswer: 36495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((22\/88)\/(2\/8))\/((-3)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14 - -7 - -1)*4\/(-3). Solve -11*h - 14 = d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 4*j = 6 + 10, 3*j + 15 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*a + 47*a + 2352 = 0. Let y = 33 + 163. What is the highest common factor of a and y?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/((-1)\/1)*12. Let g be (-3)\/(-18) - 118\/h. Solve -g = -3*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/2394 and 8\/1881?\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.213 times -19?\nAnswer: -42.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 5*x + 11. Let q be k(6). Let a = q + -14. Is a greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*m**2 + 64*m**2 + 18*m**2 - m in the form n + w*m + g*m**2 and give g.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus 17556.9?\nAnswer: 17552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -376464 (base 8) to base 7\nAnswer: -1052022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhet when four letters picked without replacement from {e: 4, h: 5, t: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 42\/1363?\nAnswer: 42\/1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -57*p**2 - 5*p - 5. Let h(t) = -28*t**2 - 2*t - 2. Calculate 5*h(k) - 2*w(k).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.84 and -55057724436.\nAnswer: -55057724434.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*h = -44*h - 93 + 27. Calculate the remainder when 2742 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14454, 28903, 43340, 57759, 72154, 86519, 100848?\nAnswer: 115135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w. Let q be g(-2). Let k = 19 + -19. Suppose 4*v + 8 - 28 = k. Solve 3*m - 4 = 2*p - 6, -v*m - q = -2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -297\/5 - -59. Sort x, 3\/2, -1 in descending order.\nAnswer: 3\/2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 118996104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + 25*v**2 + 297*v - 24. Give z(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2811, -5954, -9097, -12240, -15383?\nAnswer: -18526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1576 - 1571. Suppose -9*o + 6*o + 15 = 0. Suppose -2*g + o*g = 6. Solve -g*x + 25 = -3*m, -a = -x - 3*x - 3*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 5971*k + 11961. Calculate m(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/913 or 0?\nAnswer: -5\/913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 + 37*u**3 - 39*u**3 - u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 942, 926, 892, 834, 746, 622, 456?\n\"Answer: -v**3 - 3*v**2 + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/((-1 + -8)\/(-306)). Is -362 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1124 - -1123.99999109. What is g rounded to 7 decimal places?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - (-8)\/(-4))*-1. Suppose -3*w - 3*z + 6 = -x*z, 0 = -5*w + 5*z + 50. Let -5*c**5 + 0*c**5 + w*c**5 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*j + 4*j - 1 + 3 + 150 - 150 - 44*j - 4*j - 5*j - 26*j + (5 - 2 - 2)*(-j - 2*j + 2*j) as v + a*j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttssstssss. Give prob of sequence ssss.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 715 - (-32)\/(5 - -3). Let q = j + -110. List the prime factors of q.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4567?\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -9*v. Let s(r) be the first derivative of 0*r**2 + 4\/3*r**3 + 0*r + 14. Give t(s(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25 and 9305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 7, u: 6, o: 6}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 4*u - 4*c = 8, 11 = 2*u - c. Suppose 4*r - 13 = -q, u*q - 3*r + 2*r = 0. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1226 and 30384.\nAnswer: 18625392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from xbrgcclx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(35)\/sqrt(5) + sqrt(7) + 0)*4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3264736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, m: 1, v: 2}. What is prob of picking 1 m and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(272) + -2 - sqrt(272))*3)**2 + (sqrt(272) + 1 + -5)**2*6.\nAnswer: -192*sqrt(17) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16668?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -118 + 124. Calculate the remainder when 27 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2138, -4729, -7770, -11261, -15202, -19593, -24434?\n\"Answer: -225*y**2 - 1916*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-1 - 1) - (14 + -6 - -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5533130 - -12?\nAnswer: -5533114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9459, -9457, -9455, -9453, -9451, -9449?\nAnswer: -9447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 15*l**2 + 6*l - 28. Let g be y(14). Let s be (-44)\/(-11) + g\/34. Are s and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - 2 - (-4 - -3). Suppose -f + 4098 = 2*f - 3*g, f + p*g - 1351 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9828*f**2*h*s + 5*f**2*s - 9*f*h**2 + 100*h**2 + 747*h*s wrt f.\nAnswer: -19656*f*h*s + 10*f*s - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - -241642697166.773.\nAnswer: 241642697166.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g + 8 + 7*g**2 + 26 - 34. What are the prime factors of d(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14404325 divided by 2665?\nAnswer: 5405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 32 = 5*a, 1650*d - 1652*d - 4*a + 16 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 12:41 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -22 in increasing order.\nAnswer: -22, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 178 and 4953740.\nAnswer: 4953740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 11*b**2. Let d(j) = 16217*j**2. Calculate i(d(l)).\nAnswer: 2892901979*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -130320 (base 5) to base 12\nAnswer: -2b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -15\/14743, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 7 = -3*j, -2*j = -3*j - 4*t - 5. Which is the fourth biggest value?  (a) 0.4  (b) -3  (c) j  (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1743*r - 3404*r = -1836*r - 2800 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*p - 9*p + 27*p.\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 145832.5 rounded to the nearest 100?\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25280 + -15402. Suppose 5*w = -5*r + 93015, s = -3*r - 5*w + 65693. Suppose 0 = -7*i + 4*i - r. What is i rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 15, v: 5}. What is prob of sequence ee?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50 + -47. Let f be 0 + (y - -44) + -2. Suppose -2*c = -u + 22, -3*c + 12 = 3*u - 2*u. What is the greatest common factor of f and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25 and 66.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 11185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 25 + 4 + 13 + -118\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 502781 is divided by 48.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*(-3)\/(-9))\/(754\/(-2262)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -902 divided by 2.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -533 (base 7) in base 5?\nAnswer: -2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/96 and -123\/302920.\nAnswer: 3635040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 4*k**2 - 5*k - 2. Suppose 0 = -3*b + n - 7, 0 = -b + 3*n + 7 - 4. Let y be m(b). Suppose 0 = -y*v - 2 + 14. Solve 0 = -4*c + v*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m**3 - 2*m**3 + 0*m**3 - 32 - 2*m + 34 - 39*m**2 - 40*m**2 - 8*m**4 to the form l*m**2 + k*m + b*m**4 + z*m**3 + w and give l.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6*q + 5. Suppose -1 + 0 = -a - n, -a = 4*n + 8. Let d be 26*(-4)\/(-8) + -2. Let c(t) = 2*t - 2. Calculate a*v(y) + d*c(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of 2*m**3 + 3*m**2\/2 - 10*m - 6. Does 20 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -36249322183.7 and -0.1.\nAnswer: -36249322183.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -510332 - -1513?\nAnswer: -504415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.873 - 2.59. Let w = -0.683 + d. Put -6, w, -0.3, 5 in decreasing order.\nAnswer: 5, -0.3, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwwrwwprrr. What is prob of picking 2 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 158*u**6 + 3*u**2 + 31 wrt u.\nAnswer: 18960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 5*a = -x - 1936, 3*x + 2*a - 1939 = 0. Is 105 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345598085 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46342, -46346, -46350, -46354, -46358?\nAnswer: -46362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3*t**2 - 69*t + 182. Let s be k(20). Solve -3*l = -4*p + 15, 3*p + s*l + 4 = 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -95344 - -95342. Let g(h) = -h**2 - 5*h + 8. Let k be g(-6). Let s be (((-2)\/k)\/1)\/1. Which is the biggest value?  (a) -0.4  (b) s  (c) q  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 4:19 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-168)\/30 + (-4)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 34*t - 23*t + 132 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 9484367.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 8 - (25 + -23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, h: 6}. What is prob of picking 2 r?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**5)**(2\/29))**(6\/11) assuming m is positive.\nAnswer: m**(60\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.369234 rounded to three decimal places?\nAnswer: 22.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3*o = 206 + 332, m + 4*o = 269. Let w = 498 - m. List the prime factors of w.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 65*u + 10. Give o(1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 530 = 5*p + 2*f, -5*p + 4*f = 485. Let c = 128 + p. Let w(g) = -g**3 - 6*g**2 - 9*g + 9. Let d be w(-5). Is c at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10169952 divided by 52?\nAnswer: -195576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30750688?\nAnswer: 2, 17, 56527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 77089 a multiple of 607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + -15 - ((2 - 3) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 17, -120, -383, -814?\nAnswer: -1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17686531 is divided by 62058.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -153 + 13. Suppose q - r = -93. Calculate the common denominator of 15\/(-45)*q\/(-8) and 91\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) -0.2  (c) -30\/36259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1055 and 13.\nAnswer: 1.3715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + -41 + ((-10)\/2 - (4 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(1\/8)\/a)\/(a\/a**(3\/10)))\/((a\/(a**(-2)\/a))\/(a**(-4)\/a)))\/(a**5\/((a*a**0)\/a))**0 assuming a is positive.\nAnswer: a**(-383\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 101515617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + -12 - (-4 + 165\/(-35)). Which is the second smallest value?  (a) s  (b) 0  (c) -5  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-20)\/8*8\/10. Let f be (4 - (-45)\/y)*-2. Let q = 11 + f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 3*z + 4*u + 924 = 0, 0 = -z - 5*u + 327. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 110577\/581 + -1332\/7. Are c and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/2)*c)\/(c\/(c*c*c**(-15\/4)))*c**(2\/13)\/c**(2\/5) assuming c is positive.\nAnswer: c**(-909\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -8*s**2 + 69*s + 396. What is f(13)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28 + 3*p**3 + 5 + 0*p**3 - 3*p**4 - 2*p**3 + 11 to the form r*p**2 + q*p**4 + o + w*p + f*p**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 6:34 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 divided by -4?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -339\/13766 smaller than -2\/901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*n - 2*n**3 + 0*n)*(2*n - 2*n + 2*n) - 3*n**4 + 16*n**3 - 2242*n**2 + 2245*n**2 + 24*n**3 to the form w*n + v*n**3 + p + c*n**4 + x*n**2 and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (292\/(-14))\/((-14)\/49). Let f = -70 + w. Solve 0*j - 3 = f*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 261990913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: (3\/378*10)\/(1120\/(-64)*(-8)\/(-168))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 23. Let l = -13 - k. Sort l, 2, -3 in ascending order.\nAnswer: -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -4. Sort p, 8, -1 in increasing order.\nAnswer: -1, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79426.99999823794 + 79427. Round h to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 294 and 8742531?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 9:09 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5129.\nAnswer: 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 + 6*q - 28. What is w(7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -1. Let x(q) = 0*q**2 + r*q**2 - q**2 - 1. Calculate x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 79 or 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 7*j = 474. Let o = 112 + j. Let r = o - 26. Calculate the remainder when 12 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 5, -632, -3, -2, -1 in descending order.\nAnswer: 5, -1, -2, -3, -42, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 492547583 and 418?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/4171040 and 49\/417104?\nAnswer: 4171040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, o: 3, m: 3, v: 5}. Give prob of picking 2 v, 1 m, and 1 o.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 35*v**2 - 354*v + 39. Let j be o(10). Let m(g) = g**3 + 6*g**2 + 6*g - 1. Let s be m(-5). Put 8, 3, s, j in increasing order.\nAnswer: s, j, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 9*j - 8. Let m be s(-8). Let o(z) be the third derivative of 1\/24*z**4 - 1\/6*z**3 - z**2 + m + 0*z. Find the first derivative of o(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 8*u - 18. Give m(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -4) + (6 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q*q\/(q**(1\/6)\/q)*q)\/q))\/q**(-2\/9)*((q**(-1)\/q*q)\/q)**(1\/2)*(((q*q**11)\/q)\/(q\/(q*q*q**(-3\/5)\/q)))**11 assuming q is positive.\nAnswer: q**(10061\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(60\/27)*(1 - 3). Which is greater: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1686982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i. Let g(s) be the first derivative of s**3\/3 - 45*s - 628. Determine g(p(n)).\nAnswer: 16*n**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 170*l**2 + 560*l + 1115. Let h be s(-2). Calculate the greatest common divisor of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 510 and 18258?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -4.3. Let t = s + 2. Let j = -2 + 5. What is the second biggest value in t, -2, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 285*f**2 + 277*f**2 + 283*f**2 + 286*f**2 - 905*f**2 - 225*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.056 - 26.944. Let i = 27.4 + t. Which is the third smallest value?  (a) 9  (b) -4\/3  (c) i  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -a**8\/40320 - a**7\/480 - 11*a**5\/12 - 49*a**2. Let w(f) be the third derivative of q(f). Factor w(c).\nAnswer: -c*(c + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 4:27 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 159 + -86. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**3\/3 - 39*i**2\/2 + 29*i - 65\/6 = 0.\nAnswer: 5\/8, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 7*w + 7. Let u(m) = 2*m**2 + 22*m - 109. Let f be u(-15). Let z(r) = -2 + 5 - 7*r - r + f*r. Let i be (-5 - 0) + 0\/(-1). Give i*z(v) + 2*p(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2706559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18724*d**3 + 2*d**2 - 86128*d?\nAnswer: 112344*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**4\/24 - d**3\/3 + d**2. Let z be p(-6). What is the derivative of -4 + 4*y - y**3 - z*y wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*z - 12*z - 23260. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 411, 473, 535, 597, 659, 721?\n\"Answer: 62*t + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -84364 (base 9) to base 6.\nAnswer: -1105521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -746125*i**3*k - 11*i*k**2 + 681473*k**2 + 497*k wrt i.\nAnswer: -2238375*i**2*k - 11*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 1 + (-4 - 1 + 4)*(1 + 0 + 1) + 59 + 76 - 117)*(1 - 3 + 0)*(-21*w**4 + 16*w**4 - 16*w**4) to f + b*w + z*w**4 + m*w**3 + h*w**2 and give z.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29480, 58955, 88430, 117905, 147380, 176855?\nAnswer: 206330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 139481233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + i - 2 = 0, -i + 7 = 5*g + i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 983822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 235721 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**2 + 5*l**2 + 13*l**2 + (l + 4*l - 6*l)*(1 + 5*l + 0*l - 3*l).\nAnswer: 13*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from cccmccccccmcc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 4*r + 14, 0 = 4*o - 3*r - 4 + 9. Let x be 28\/(-35)*255\/o. Let g be 6\/(-8) - x\/(-136). Let m(u) = -u**3 + u**2 + u + 3. Determine m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-22\/9)*y*y**0 assuming y is positive.\nAnswer: y**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 155 + -139. Let i(k) = -k**3 + 19*k**2 + 7*k - 25. What is the units digit of i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 AM and 2:12 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19530, -19530, -19536, -19554, -19590, -19650, -19740, -19866?\nAnswer: -20034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 20*v**2 - 17*v - 41. Let u(i) = 10 + 6*i + 4 - 3*i**2 - 4*i**2. Let a(o) = 6*h(o) + 17*u(o). Let l be 19\/(114\/(-36)) + 6. Determine a(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(931))*-5)**2 - (sqrt(931) + -2 + sqrt(931) + 5)) + (4*sqrt(475) - (-2*sqrt(190))\/sqrt(10)).\nAnswer: 708*sqrt(19) + 23372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1050 (base 7) to base 6.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 55*j**2 + 15*j + 35. Let a(t) = -8*t**2 - 2*t - 5. Let q(g) = 20*a(g) + 3*u(g). Let d(v) = 3*v**2 + 2*v + 2. Calculate 5*d(f) - 2*q(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 293734484 from -3.87211.\nAnswer: -293734487.87211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 7:35 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggu when three letters picked without replacement from {k: 3, u: 5, g: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01 and -0.1301?\nAnswer: -0.001301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -4. Suppose h - r = -2 + 32, -3*r = n*h - 75. Suppose -2*p = -37 - h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/107?  (a) -452  (b) -0.5  (c) 0.7  (d) 0.5  (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (7 + -1 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 8*d + 4*j = -51, 3*d - 5*j - 139 = 0. Calculate the highest common factor of 344 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than -4.3644156450225?\nAnswer: -5.3644156450225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, n: 2, f: 4}. Give prob of picking 2 n and 2 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/33947634 and 99\/466.\nAnswer: 33947634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 7 - (-261 + 236 + (-1 - -14))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1*(0 + sqrt(125) + -2 + 0 + sqrt(125))*5)**2 + -4)*1.\nAnswer: -5000*sqrt(5) + 62980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 3, -1682, -107 in descending order.\nAnswer: 3, 2, 1, -107, -1682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/24*(-8)\/2. Suppose 0 = -5*u + 3*i - 6*i + 7, 4*u - 3 = -5*i. Suppose 0*h = v - h + u, -3*h + 6 = -2*v. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28063*v**2 - 26082*v.\nAnswer: -56126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -3\/7  (c) 0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 25\/2 + 15 + 434\/(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -4*t + 6. Let d be x(12). Let y = d - -86. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c + 10. Let n(p) = -p + 1. Let z be n(8). Let r be l(z). Sort r, 1, -4 in ascending order.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -l + 7*s - 3*s, 12 = 4*l + 5*s. Solve 0*q + g + l = 3*q, 2*q - g = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 6. Let i be m(-11). Suppose -i*l + 0 = -20. What is the lowest common multiple of 5 and (2\/l)\/(4\/80)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -x - 5*k, 0 = -2*x + 3*k - 45 + 8. Suppose -46*u + 2*d = -45*u - 382, 5*u - 1898 = 4*d. Let v = -390 + u. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6447*j**4 + 6*j**3 + 4178*j + 2?\nAnswer: 77364*j**2 + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x + 608 = 62. Suppose 4*b - 4*m = 92, -4*m - x + 19 = -b. Calculate the greatest common divisor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 4476336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*n**2 - 17043612*n - 17043609 = 0. Calculate n.\nAnswer: -5681203, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 103176*b + 2872. Let z be y(-72). Round z to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 - 6*k**2 - k - 3. Let n be g(-6). Let q = 2 + n. Differentiate a + 4*a + q - 1 wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from bvbvvbbz?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 987 (base 14) to base 13.\nAnswer: b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 4*r - 62. Give a(-14).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6845843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1143*y - 79*y = 133*y + 196475 for y.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -9.7  (b) -0.4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -400978370, -400978371, -400978372, -400978373, -400978374, -400978375?\nAnswer: -400978376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5612 and 1220?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of 1\/108*j**4 + 0 - 2\/27*j**3 - 1\/540*j**6 + 1\/135*j**5 + 0*j - 3*j**2. Factor g(z).\nAnswer: -2*(z - 2)*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (54\/14)\/((-346)\/(-2422))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 6 = 4*k, k - 11 = -3*r + 5*k. Suppose 2*c = -r*y + 39, y - 2*y = -5*c - 24. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -2*j - 9. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8992, 8996, 9002, 9010, 9020?\n\"Answer: h**2 + h + 8990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -672 divided by 21\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14128387705 less than 26680?\nAnswer: 26679.85871612295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/9 + 560126*i**2\/9 + 4357546894*i + 4357484658.\nAnswer: 2*(i + 1)*(i + 140031)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 138 + -138.9. Let h = 29 - 28.67. Let p = h + -0.13. Do p and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/180*10*4\/(-5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -22*j + 8. Suppose 0*p = p - a + 11, 5*p + 35 = a. Let v be q(p). Suppose 0 = -4*d + 52 + v. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 7*v**3 + 1. Let h(a) = 47*a**3 - 46. What is -h(b) + 6*n(b)?\nAnswer: -5*b**3 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - (-1 + 2)\/1. Let k be 3 + (4 - (c + 0)). Solve 0 = k*i + 18 - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 41, 57, 91, 149, 237, 361, 527, 741?\n\"Answer: n**3 + 3*n**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -0.2  (c) -1\/7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.59 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 6*f - 40. Let a = f + -6. Solve -x = -0 - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*d + 72*d + 70*d + 64*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 12:43 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence juuj when four letters picked without replacement from uujjjuuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -15, 639 in increasing order.\nAnswer: -15, 5, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 46917 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 674 - 1344 - 11*v**3 + v**2 + 668 + 17*v to the form h*v**3 + s*v + x*v**2 + c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 12*p**2 + 11*p + 3. Let s be d(11). Solve 2*l + 1 = -c, -3*l + 2*l + 2*c - s = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-2\/7))**(-49)\/((u*u**(-3)\/u*u)\/u*u**(1\/9))*((u**1)**(-4\/23))**36 assuming u is positive.\nAnswer: u**(-7943\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 240 and 155090960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6623074, 6623097, 6623136, 6623191?\n\"Answer: 8*x**2 - x + 6623067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1*-2)\/(3\/(-6)). Let f be (16\/9)\/(115\/1035). Suppose 4*r - f = n. Let v(p) = -p**2 + 6*p + 6. Give v(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 4563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 25095 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4 - 2*s**2 - 4*s - 7 - 4*s**2 + 2*s - s**3. List the prime factors of n(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 5*z = 81 - 78, 5*l - 3*z = -2*z + 81 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -38 - 9410?\nAnswer: -9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1513 divided by -9?\nAnswer: 1513\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 + (-135)\/25)*-265. Let z be (80\/(-20))\/((-1)\/20). Let k = n - z. Is 24 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lom. What is prob of sequence mo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*b - 20 = 0, -6*v + 4*v = -4*b - 16. Let o(w) = v*w**2 - 3*w**2 - w**2. Let g(m) = -30*m**2. What is o(g(a))?\nAnswer: 1800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*q = q, -2*g + 3*q = -25. Suppose 8*s = 13*s - 50. Calculate the remainder when ((-170)\/(-4))\/(s\/g) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4206 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 18) + 1 + 7 + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -2813.\nAnswer: -8439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -4 - (0 - -1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*o - 51 = 519. Solve 0 = 5*j - 5*t + 10, -3*j - o*t = 2*j + 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108651989035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27 + 1a9?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1397)\/1524*272\/(-88))\/17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 396063435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (112\/6)\/(-1*((-24)\/(-18))\/2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 723808.\nAnswer: 2, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 285.50292 to zero dps.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 155.4703km?\nAnswer: 155470300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (12 + -12 + -1 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 + 39.17. Let x = b - -1.13. What is the third biggest value in -4, x, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**2)*l**2*l)\/(l**(-2\/7))**(-9\/5) assuming l is positive.\nAnswer: l**(17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 353897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, l: 1, o: 4, w: 2}. What is prob of picking 1 l and 2 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 345865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -46*r**5\/7 + 1790*r**4\/7 + 478*r**3\/7 - 12254*r**2\/7 - 11832*r\/7 - 936\/7 = 0.\nAnswer: -2, -1, -2\/23, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1119589 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -w - 20, -5*c - w = -3*w + 41. Let i = 12 + c. Determine n, given that 1\/3*n**5 - 2\/3*n**2 + 1\/3 + 1\/3*n + 1\/3*n**4 - 2\/3*n**i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 5 + -1 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 29 = 3*z, 2*x = -8*z + 7*z - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14 and -9972.734.\nAnswer: 139618.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o + 1 - 1 + (0*o - 3*o + 2*o)*(3 - 2 + 0) + (-4 + 3 - 2)*(1 - 1 + 3*o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 5*f + 25, 0 = 13*f - 8*f + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 1. Let q(g) = g + 4. Let j(i) = -1. Let k(u) = -8. Let a(z) = -4*j(z) + k(z). Let c(w) = 2*a(w) + 3*q(w). Let h(p) = c(p) - 5*x(p). Calculate h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, r: 3}. What is prob of sequence rr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = 17 - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1996?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5\/10 + 121*u**4\/10 - 669*u**3\/2 - 19089*u**2\/10 - 11907*u\/5 = 0.\nAnswer: -3, -2, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -51, -102, -153, -204?\n\"Answer: -51*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 509.1 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*d + 3*f, -3*d = 4*f + 4 + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (36\/10)\/((-1694)\/1210)*2\/(-30)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/1647 and -20\/6646371.\nAnswer: 3648857679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -s - 0*s. Let y be 3\/(-6) + (-163)\/s. Let v = y - -17. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 2:47 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -134 + 7\/2*i**2 + 5\/3*i**3 + 2*i. What is the first derivative of g(m) wrt m?\nAnswer: 10*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 139 + -151 - (16 - (-4 + 6))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -49*s**6\/60 - 71*s**3\/2 - 14*s**2 + s - 41. Let y(l) be the second derivative of i(l). Differentiate y(v) wrt v.\nAnswer: -294*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) 80  (c) -399  (d) -415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/6*661653\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4383 plus -0.06097278?\nAnswer: 1.37732722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + -2 + 1 + 2. Let j = -1922 - -1918. What is the closest to 1 in h, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 309*v**2 - 327*v + 18 = 0. What is v?\nAnswer: 6\/103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 3 = -y + r, -5*y = r - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -8  (c) 13  (d) 6\/43  (e) 0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s - 14 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51736156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 63658611 a multiple of 1283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1058\/21 < -651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 - (3\/(-3) + -2). Let u = 8 - o. Suppose -2*r + 13 - 5 = 0. Which is the second smallest value?  (a) u  (b) r  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 9*s**2 - 11*s - 8. Let x(r) = 38*r**2 + r + 1. Calculate the remainder when x(-1) is divided by v(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*n + 3*k + 73 = -16*n - 20, -2*n = -3*k + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 22. Suppose 152 = 3*v + x. Is v less than or equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 34 = -0*h. Suppose h*l = 19*l - 1382. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - 0) + 307 + -306.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -4*n**3 + 10*n**2 + 188*n - 87. Calculate j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -1\/3  (b) 43  (c) 6\/5  (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 + 34. What is the lowest common multiple of v and 2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = l - 2, 4*l + l - 3*g = -3. Solve l = 5*a - 26 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m + 425. Let q be h(-45). Solve 4*b + q = 0, -3*b = -4*f + 2*f + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1852 + 1865. Solve -8*g + 13 = j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - ((-88 - 4) + 4). Let g = 83 - m. Let j = -8 - -7.6. What is the second smallest value in g, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -195*y + 71. Calculate r(3).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11629*v**3 + 38237*v**2 + 2?\nAnswer: 69774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 + -13. Suppose -2*q = -z - z - 26, -5*q - 4*z + i = 0. Suppose -3*x + x - 2*h = 2, -2*x + q = -2*h. Solve -x*w = -4 - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 + 5492*d**2 - 7702576*d + 442599360.\nAnswer: -(d - 2716)**2*(d - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 6, 0.5, -5, 77\/2, 63?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 4 + 12 + -6 + (-10 - -14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 23*y**2 + y - 2. Does 10 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21.56, -4, 1, 5, -8\/11, -3, 2 in descending order.\nAnswer: 5, 2, 1, -8\/11, -3, -4, -21.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2104064.\nAnswer: 2, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 156 and 143.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1831507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 55111723207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (3\/15)\/(7\/77).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -14. Let l be (-2)\/(50\/26 + -2). Let f = x + l. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -850, -1695, -2540?\nAnswer: -3385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 39 = -9. Let k be d\/(-60) - 36\/(-10). Suppose -k*y - 20 = -9*y. Solve -4*r - 17 = r + 4*n, 0 = -y*n + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5444, -21640, -48370, -85418, -132568, -189604?\nAnswer: -256310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 6\/1859, -3 in increasing order.\nAnswer: -3, 6\/1859, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -184, 648, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 852364673?\nAnswer: 211, 1801, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2. Let k = 12 + -10. Suppose 0 - 2 = -n. Let f(u) = -3*u + k*u - n*u. What is j(f(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**3 + 360*c**2 + c - c + 7.\nAnswer: 6*c**3 + 360*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1005*l - i = 1000*l + 4, -4*l - 2*i + 20 = 0. Solve 0 = -3*a + 2*w - 5, -l*a - 3*a - 21 = 3*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3 + sqrt(833))**2 + (sqrt(833) + -2 + 0 + sqrt(833))**2 + 2.\nAnswer: -98*sqrt(17) + 4181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/7)\/(-5)*(-3072)\/(-576).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 9:35 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1125 by 123.\nAnswer: -375\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2 + i**2 + i**2 + 3*i + 4 - i**2. List the prime factors of q(-8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 72, 242, 506, 858, 1292, 1802, 2382, 3026?\n\"Answer: -k**3 + 53*k**2 + 18*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.760329 days to minutes.\nAnswer: 5414.87376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a - 8*a + a**2 - 3*a - 1 - a. Let g be c(10). What is the common denominator of (-237)\/10*g\/6 and -85\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109431554\/9 or 12159062?\nAnswer: 109431554\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18.22 and 0.3?\nAnswer: 5.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1937 + 1?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**2 - n**2 - 2*n**2 + 2*n - 2*n + n**2 - 2*n**2 + 3 - 3 + (-3*n**2 + 0*n**2 + n**2)*(3 - 2 + 0) - 594*n**2 - 391*n**2 + 283*n**2.\nAnswer: -707*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-6) + 16\/(-3). What is the units digit of (-142)\/(-10) - (-1)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*10\/(480\/(-18))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 10:08 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 + -61. Let t = y + 43. What is the third derivative of -4*q**3 + 6*q**3 - 8*q**t + 8*q**2 wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - m - 2. Let i be 5\/(50\/15)*22. Let o = -31 + i. Calculate w(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 * -0.59\nAnswer: 6.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 + -1286780.5?\nAnswer: -1286780.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -35. Let q be 2 - (8\/(-3) - (-2)\/3). Suppose -j - q*b = -2*j + 23, -4*j - 4*b + 112 = 0. What is the greatest common divisor of j and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = -33*h - 8. Let o = 9 + -7. Let y = 5 - 4.9. Which is the closest to y?  (a) 1\/2  (b) h  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + o - 31. Let j(k) = -2033*k. Determine m(j(x)).\nAnswer: -4133089*x**2 - 2033*x - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4005.457 + 3974.5422096. Let g = -14.91479074 - d. Let l = g - 16. Round l to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2067946806 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(1\/4))\/(r**0\/r)*(r**(-1))**(1\/45) assuming r is positive.\nAnswer: r**(401\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.46*-3446.\nAnswer: 1585.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 - 45?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 198\/126 + 29992\/(-644)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14570355*w**2 + 369913*w + 103?\nAnswer: 29140710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 47484 and 15966495?\nAnswer: 63865980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/5)*g)\/g*((g\/(g*g\/g**(-1\/11)*g))\/g)\/g)**(-20) assuming g is positive.\nAnswer: g**(944\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 + 15827*x + 46000*x.\nAnswer: 61827*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**5 - 22*d**4 - 124*d**3 - 5198*d?\nAnswer: -40*d**3 - 264*d**2 - 744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(200) + -1 + sqrt(200)\/(sqrt(4) + sqrt(100)).\nAnswer: -1 + 65*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -717*0.41.\nAnswer: -293.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2. Let z(q) be the third derivative of q**4\/2 - 7*q**3\/3 - q**2 + 6. Give b(z(h)).\nAnswer: -144*h**2 + 336*h - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - h = 0. Suppose h = -t + 2*t - 1. Let k(j) = -4*j + j + 5*j**3 - t - j**3 + 5*j. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -347*q + 12. Let t be c(-5). Suppose 9*i = 10747 - t. What is i rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 16*w**3 + w. Let f be j(1). Solve 5*z - f = 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4650, -18749, -42254, -75165, -117482, -169205, -230334?\nAnswer: -300869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-194*m + 472*m - 11*m)*(-3 - 2*m + 3).\nAnswer: -534*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from poop. Give prob of sequence poop.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -1421413342?\nAnswer: -1421413341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 0.065\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 616 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -8 + 5 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = 12.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(396) + (0 + sqrt(396) - sqrt(396)))*-5)**2*-3.\nAnswer: -29700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13984.58102 rounded to the nearest one hundred?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-4 + 3)\/2). Suppose 5*t = 13 + n. Suppose -27 = -2*j - t. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**4 - 20*x**3 + 24*x**2 + 80*x - 128 = 0.\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.140732 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 15) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1142 - 2739. Let d = -1595 - s. Factor 5\/6*l**2 - d + 1\/2*l**3 - 8\/3*l.\nAnswer: (l - 2)*(l + 3)*(3*l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*l + 5*y = -16, 5*y = 15. Suppose -c = 29 - l. Suppose 0*a = c*a + 6440. What is a rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29807142383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2\/5  (b) -2  (c) -5  (d) 358  (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of b**10\/1008 + b**6\/360 + b**3\/3 - b**2. Let i(y) be the first derivative of g(y). Find the third derivative of i(z) wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5)*1*4 + 3 + (sqrt(20)\/sqrt(4) - sqrt(5)) + -1*(sqrt(720) + 0).\nAnswer: -8*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(35))\/sqrt(7)*5 - -1*-6*(sqrt(5) + sqrt(80))**2.\nAnswer: -750 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -5 + 5*a**2 + 95*a - 90*a - 2*a**2 - 4*a**3. Let v(p) be the first derivative of -p**4\/2 + 2*p**3\/3 + 3*p**2\/2 - 3*p - 123. What is -3*c(x) + 5*v(x)?\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.431788356 to three dps.\nAnswer: -0.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 98*l**2 + 55*l - 98. List the prime factors of f(-9).\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38472175 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x. Let i(z) = -11*z - 5. Let k be (-10)\/((-60)\/126) - (-4)\/(-2). Let y(o) = -k*o - o - 14*o - 14. Let a(c) = -11*i(c) + 4*y(c). Determine a(t(b)).\nAnswer: 30*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 5*q - 730 = 0. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 316727600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1430 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2630.13 + -2630. Which is the second biggest value?  (a) 2\/3  (b) -3\/10  (c) 4  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 536 = -3288*v + 3355*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2037 + 16b2?\nAnswer: 3729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -729 or -728?\nAnswer: -729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3*v**2 - 5*v - 2. Let q = 90 + -93. Give o(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*d + 21*d - 327244 - 304869 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r. Suppose -3*h - 13 = 5. Let f(u) = -5*u**2 + 6. Let t(n) = n**2 - 1. Let b(p) = h*t(p) - f(p). Calculate i(b(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n - 5*n + 2*n - 3*n - n + 6*n + (-2 + 2 + n)*(-2 + 4 - 3) + 3*n - 2*n - 3*n - 37*n - 59*n + 9*n to the form m + o*n and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 23, 3, -6, 497 in descending order.\nAnswer: 497, 23, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 461*h - 109. Let d be n(5). Suppose -8 = 2*c, -4*c - 7363 + d = -3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -7) + (-2 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, u: 1, k: 1, q: 1}. What is prob of sequence kq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7411537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccae when four letters picked without replacement from {c: 3, e: 4, a: 6}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -326 (base 10) in base 5?\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 69\/9 - (-4)\/3. Let h = 6 - w. What is the fourth biggest value in h, -5, -1.1, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-70)\/(-49) - 47314619\/(-77) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 543985379812.0374071774 + -543985379755. Let a = 0.0374076274 - x. Let v = a + 57. What is v rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 4*m**2 - 81*m - 207. Let z be f(28). Which is smaller: z or 662?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88 + 21 + 642*z - 12*z - 8*z.\nAnswer: 622*z - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 2:02 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p**3 + 82*p**2 - 270*p - 4804. Calculate q(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/14)\/(13\/(637\/(-28))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from kgggggkggggg.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10083469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 307 + 648 = c. Suppose c = 2*f - 663. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4526, 4539, 4566, 4613, 4686, 4791?\n\"Answer: u**3 + u**2 + 3*u + 4521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4757806.016 to the nearest 100.\nAnswer: -4757800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.08 + 3.08. Suppose 0 = v + 5*m - 30, -3*m - 12 = -v + 2. Let z = v - 23. What is the closest to -4 in z, k, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 5:33 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2579 is divided by 375.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 7803698 * 2\nAnswer: 15607396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-32)*r*r*r**(-4\/9)*r*r*r*r)**(-2\/73))**(2\/3))**(-7\/5) assuming r is positive.\nAnswer: r**(-6664\/9855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from blbl?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13349732)\/(-308) - 4\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3229 - -109807\/34. Let u = 1237\/273 - 75\/13. Let y = 135\/28 + u. What is the common denominator of y and f?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 378 + -315. Calculate the lowest common multiple of s and 42\/147 - (-75)\/7.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9414.983cm to kilometers.\nAnswer: 0.09414983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(2\/4)\/(27\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 19 = -6*m. What are the prime factors of (m - -3) + 2 + 74?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vwwvvwvvwvvvvw. Give prob of sequence wv.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n + 230*x + 220431996 = 229*x, 5*n = 5*x + 68884980. Round n to the nearest 100000.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -176*n + 353*n - 218*n in the form o*n + w and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 4. Suppose n = -v + 4. Let g be (-20 + (7 - 2))\/(-3). Put 0, g, 4, v in decreasing order.\nAnswer: g, 4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 39291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, u: 5}. Give prob of picking 3 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -5335 bigger than -5332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/2*k**3 + 3*k**2 + 2*k**4 + 0 + 1\/2*k.\nAnswer: k*(k + 1)**2*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56*l - 224*l + 112 + l**2 + 64*l + 67*l + 69*l.\nAnswer: (l + 4)*(l + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 8 = -g, 19 - 11 = 4*g - 4*b. Sort -1, g, 28, 1 in decreasing order.\nAnswer: 28, 1, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*z - 24, -4*o + 105 = -3*z. Suppose 4*l - 10*l + 72 = 0. Suppose t = l - 4. Calculate the least common multiple of t and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3\/9 - 472*o**2\/3 - 8932*o - 139392.\nAnswer: -4*(o + 33)**2*(o + 288)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 24 - -370628?\nAnswer: 370650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/25 - 1\/5. Let y = w - -1. Is 18 a factor of 2 - (1*-33 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -94.45 - -93. Let v = -8 - -6.6. Let t = p - v. Round t to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7726135, -15452271, -23178407, -30904543?\nAnswer: -38630679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -1.1. Let t = -1.01 + 0.01. Let y = t - -4. Which is the nearest to 2?  (a) -2  (b) u  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j. Let x(l) be the third derivative of -569*l**5\/20 + 1518*l**2 - 1. Determine y(x(m)).\nAnswer: -6828*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s*s\/((s**(1\/36)*s)\/s))\/s)\/s**(3\/7)*((s\/s**3)\/s)\/s**29)**(3\/2) assuming s is positive.\nAnswer: s**(-7675\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 957 + 1461 = 46*k + 348 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10  (b) -0.11  (c) -7.7  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 4:00 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 2030.5, 2\/11, -8.\nAnswer: -8, -3, -2, 2\/11, 2030.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -19*f - 1122. Let d be b(-59). Suppose 0 = -q - 14. Let r be ((-1)\/q)\/((-4)\/8). What is the nearest to 0 in d, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 0 = -c - 2*o, 0 = -3*o - 3. Suppose -c = -h - 4*u, -u + 9 - 49 = -4*h. What is the smallest common multiple of h and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 19 = -0*l. Let q = l + 47. Solve -4*r = 4*m - q, -r - 2*r + m + 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -514 - a?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 2 + (-25 - -30) + 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6996318?\nAnswer: 2, 3, 7, 53, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (4 + 2 + -2) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 413\/588 - 6*(-13)\/(-117)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000005472 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*r**3 - 569985*r**2 - 14913213?\nAnswer: -21*r**2 - 1139970*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (15 - -22 - -12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let n be 40\/220 + 16\/33. What is the nearest to -0.1 in -6, 0.5, 5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 24*u**5\/5 + 1914*u**4\/5 - 6552*u**3\/5 - 1290*u**2 + 1992*u\/5 = 0.\nAnswer: -83, -1, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -1)*20\/(-4). Let m(k) be the second derivative of 0 + 1\/90*k**o + 0*k**4 - 3*k + 0*k**2 - 1\/27*k**3. Factor m(n).\nAnswer: 2*n*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -332974396, -332974397, -332974398, -332974399, -332974400?\n\"Answer: -l - 332974395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 14 = -5*c, 83*c + 14*l - 22 = 80*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -5*b - 178 - 187, 3*k = 4*b + 544. Which is smaller: k or 181?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8862 (base 10) to base 15.\nAnswer: 295c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -9 - 186785\/(-103775)*5. Is g <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/5*30\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -904821 divided by -8\nAnswer: 904821\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4.4 times -2.162124\nAnswer: -9.5133456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 66641074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1071.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 114 - 105. What is the highest common divisor of 144 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14809149, -29618297, -44427445, -59236593, -74045741?\nAnswer: -88854889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33848 + 292*a - 35213 + 69061.\nAnswer: 292*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1657711?\nAnswer: 11, 37, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10108 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: Collect the terms in -5*x**2 - 63*x**2 + 70*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = 3*n - 4*w, -w - 32 = n - 3*w. Let p = n - -107. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*-1*-2 - (sqrt(425) + -2 + -3 + sqrt(425) - sqrt(425)))**2*6.\nAnswer: 300*sqrt(17) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 197784 and 23486850.\nAnswer: 93947400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48 + 3. Let w = b - 50.9. Is w > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j - 51. Let v be t(10). Let h be ((-2)\/3 - -1)*v. Suppose -g - 2 = -2*g. Is h <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -258 + 261. Solve l = b*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 13*y**3 - y**2 - 35*y + 34. Let k be a(1). What is the highest common factor of 891 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 760517046?\nAnswer: 2, 3, 3167, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -582053243\/6492 - -89657. Do 1 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, l: 9, h: 2, c: 2, z: 1, x: 3}. What is prob of picking 1 l, 1 c, and 1 x?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.25757 decades in centuries?\nAnswer: 6.425757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 198 + -51. Let g = k - 80. Suppose 3 + g = 2*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + f + f)*(3*f**2 + f**2 - 2*f**2) + (2*f**2 - 2*f + 2*f)*(f - 3*f + 4*f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 9:01 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*p, -9*p = g - 50 - 5 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*q - 31 = -3*q + 29 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*t + 156, -2*l - 3*l + 3*t + 236 = 0. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 + (-740)\/(-40))*(-96)\/(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -1\/4  (c) 1  (d) 0  (e) 2\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (-5 - (-2 + -7) - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 236359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 0.5  (b) 5  (c) 2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -170?\nAnswer: -16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -29 or -8762?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 45 = -5*x, -195*l + 21 = -196*l - 3*x for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -5*a**2 + 7*a + 18. Let v(p) = 27*p**2 - 39*p - 92. Determine 11*d(b) + 2*v(b).\nAnswer: -b**2 - b + 14","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2  (b) 3\/2  (c) -43\/6  (d) -4  (e) -0.03818\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand f - f**4 - f + (36*f**2 - 36*f**2 - 13*f**4)*(4 - 4 - 2).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z**3 - 48*z**3 + 17*z**3 + 0*z**3.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -52. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 - 39 = -2*n. Let t be (-28)\/(-33) + (n - (-8)\/6). Which is the closest to 2\/5?  (a) 0.4  (b) -6.4  (c) t  (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*l**3 + 7383*l**2 + 3693*l.\nAnswer: -3*l*(l - 1231)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 21300 = 5*j - 0*c, -4*j = -2*c - 17048. Suppose -2*s - 3*s + 3*a + j = 0, -3*s + 4*a = -2565. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, b: 1, c: 6, z: 1, v: 3}. Give prob of picking 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 12:43 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 37 = 4*z. Suppose -b = -15 + z. Solve -2*h = y - 15, -2*h = b*y - y - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 52339562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*j**4 - 825*j**2 + 7314*j - 7314*j)*(4*j + 0*j - 2*j).\nAnswer: 18*j**5 - 1650*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in 284\/9, 0.4, 1, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c**2 - 374*c**3 + 184*c**3 + 3*c + 96*c**3 + 95*c**3 + 8*c**2.\nAnswer: c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -436 divided by 109.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4597 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27869 is divided by 5100.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/7))**(-1\/28)*o*o*o**(-2\/7)\/o*o*(o**(-5)*o)\/o assuming o is positive.\nAnswer: o**(-649\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 2\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(3\/14)\/d)\/d)\/(d\/d**9))**(11\/6) assuming d is positive.\nAnswer: d**(319\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/(-66))\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2. Let m(j) = 86*j. Determine m(d(t)).\nAnswer: -172*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d - 9. Let c be q(-6). Suppose -19925 = -c*v + 4*v. Suppose -5*a + v = -l, 4*a = -4*l - 1209 - 14803. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25560 != -25562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 e when four letters picked without replacement from {z: 6, q: 1, k: 2, e: 3, i: 5}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 153 + -152.9. Let n be (-2)\/(-4) - 3\/6. Which is the closest to 0.3?  (a) l  (b) n  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.17 - 114.1.\nAnswer: -113.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -827  (b) 0.3  (c) -8.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1050 + 1477. List the prime factors of t.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1850*c + 58 - 145 + 29 + 58.\nAnswer: -1850*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3819, 3847, 3875, 3903?\n\"Answer: 28*z + 3791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 233 = -33. Does j = -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5165 - 3?\nAnswer: -5170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*b**3 + 292*b + 2 - 95*b - 15*b as q*b**2 + l*b**3 + t*b + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -5. Let q = 7 - c. Let f = q + 7. Solve -6 = -f*v + 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-43)\/(-2)*(88 + 2)\/(-1). Let n be 3 + (u\/25)\/1. Let l = n - -75. Which is the nearest to 2?  (a) 0.1  (b) l  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 - 11*k - 2. Let j be 58\/7 + (-12)\/42. Let q = -2 - j. Let o be l(q). Solve 5*r = o + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.4 + 4.33. Let y = -1.03 + q. Which is the second biggest value?  (a) y  (b) 2  (c) 0  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + 21130121311203?\nAnswer: 21130121311200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44007 is divided by 14651?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 - -7)\/(1\/(-27)). Let v = t + 27. Let x be ((-108)\/(-20) - 5) + v\/10. Sort x, -4, -3 in increasing order.\nAnswer: x, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1146 is divided by 378.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -299515977*n + 455241034 wrt n?\nAnswer: -299515977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of -u**3\/3 + 11*u**2\/2 - 5*u - 2. Let t be p(10). Solve t*z + 3 + 4 = 4*d, 3*z - 5*d = 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24a (base 13) in base 7?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 5. Let z(p) = p**3 + 2*p + 1. Let f(w) = -7*w**3 + 3*w**2 - 15*w - 6. Let k(h) = -f(h) - 6*z(h). Determine k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*b**3 + 13*b**3 - 4*b**2 - 7*b**3 + 4*b**3 + 10*b as f*b**2 + i + g*b + q*b**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (3756\/(-9390))\/(-5*(-4)\/480*8\/(-10))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q. Let z = -1473 + 1477. Let p(r) = -r - 1. What is z*p(t) + v(t)?\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -44 - -83. Let c be ((-52)\/g)\/(4\/(-9)). Suppose -2*d = -x + 2*d + 46, 3 = -c*d. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 n when four letters picked without replacement from {n: 7, p: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-11 + (-16 - -14) + (4 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 330*f - f**2 - 623*f + 91*f in the form j*f + i*f**2 + l and give j.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 6:27 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7399363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 24*z**2 + 3*z + 3. Let y(w) = 216*w**2 + 28*w + 28. Let b(h) = 28*g(h) - 3*y(h). Let n(x) = 2*x - x - 2*x. Give n(b(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 176979618 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + 113*l**5\/60 - 7*l**4\/6 + 2*l**3\/3 + 602*l**2. What is the second derivative of p(s) wrt s?\nAnswer: -6*s + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 415.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.03 and -63.\nAnswer: -63.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 6*x**2 + 3. Let y be k(-6). Suppose 3*m = -m. Suppose m = 5*g - 2*r - y*r, -r + 9 = -4*g. What is the nearest to 2 in g, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - r + 24. Determine b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 160, 328, 506, 694, 892, 1100, 1318?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n - 175 = 50 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6969335\/909 - -7667. What is the common denominator of -25\/202 and j?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-32) + (-15)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -12. Suppose 2 + 8 = 2*d. Suppose d = 3*k + 2. Sort b, k, -2 in decreasing order.\nAnswer: k, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50961)\/(-220831) - (-1)\/((-364)\/422)?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 2) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1569483 - -0.01\nAnswer: 0.1669483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*w + 5, 2*c + 4 + 0 = 4*w. Solve c + 14\/3*l**2 - 4\/3*l = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*o - 0*o, 0 = -2*k - 3*o + 9. Solve 5*b - k = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 440 and 26422715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**5\/((m*m**(-4)\/m*m)\/m*m))\/((m\/(m*m**(-8))*m)\/m*m**(-1)) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 l, 1 f, and 1 b when four letters picked without replacement from hfhnhffhblhhlblhhh?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 1)*1\/(-2). Let z be f - (-8)\/(-1) - -1. Let k = -2 - z. Solve -g = -4*h + 8, 2*g = -0*h + k*h - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22192 + 22190. Let q be 4\/6 + (-38)\/21. Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28245?  (a) -3  (b) 0.13  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 132 and 327195048?\nAnswer: 3599145528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 73*m**2 + 1048*m - 7. Let w(k) = -2*k. Give w(c(a)).\nAnswer: -146*a**2 - 2096*a + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 10*r + 25. Let j(k) = 5*k + 12. Determine 11*j(c) - 6*w(c).\nAnswer: -5*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -592402, -1184811, -1777220, -2369629?\n\"Answer: -592409*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2209.245372 - -2308.24536995. Let l = -99 + g. What is l rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qaxt when four letters picked without replacement from dttxududaauuqx?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a - 85*a - 126*a + 2*a**2 - 8*a**2 to the form v*a**2 + x + y*a and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -119 - -125. Let o be -1 + (-39)\/(-15) + 27\/(-45). Which is the nearest to i?  (a) 0.3  (b) -3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -95 and -37.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*l - 554 + 554)*((-5 - 1 + 0)*(-1 - 2 + 1) + 3 + 0 - 4).\nAnswer: -220*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 + 19. Suppose t*s - 9 + 3 = 0. Solve 4*g = -s*w + 14 - 38, -w + 16 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 10:13 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 7*n + 20. Let r be f(9). Solve d + r = -0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -c - 5 - 9\/2*c**2. Let t(j) be the third derivative of -j**5\/60 + 29*j**2 + 13*j. Calculate t(o(v)).\nAnswer: -81*v**2 - 18*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*y - 20, -69 = -5*y + 3*k - 8. Let p = -6 + y. Solve 2*u - 8 = 4*c, p*c + 7 = 4*u + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23058 times 5\nAnswer: -115290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -16. Suppose 0 = k - 4*g + 3, v = 5*k + g - 0. Put k, 2, -1\/4 in descending order.\nAnswer: 2, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n + 8. Let p be g(-2). Let s be (3 + (-7)\/p)*(2 - -1). What is the closest to 1 in -1\/8, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 345, 1, -1, 23 in ascending order.\nAnswer: -1, 1, 23, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8\/6)\/((24\/(-27))\/4). Let g be n\/9*2\/(20\/15). Let p(d) = -d + 1. Let l(a) = 3*a - 6. Calculate g*l(v) - 6*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-9) + (-1)\/(0 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7904 and 14820.\nAnswer: 118560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1834694 divided by 4.\nAnswer: 917347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + 10*t**2 + 26*t - 22. Let s be 348\/30 - (-8)\/20. Let r be l(s). Solve 3*g - 2*p = -p, r*g - 2*p - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z + 132 = 8*z. Let k be (-6)\/(2 - 0 - (-90)\/z). Let v = k - 51. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 135 - 550 + 206 - t - 187 in the form w + a*t and give w.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 5*j**2 + 6*j + 10. Let t be k(-4). Suppose -5*i - t*b + 53 = 0, 5*b - 19 = 4*i - 68. Suppose -40 = -i*l + 70. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/11, 0.175, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = n + 3, 5*d + 7933*n - 20 = 7931*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7189781076?\nAnswer: 2, 3, 2521, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 7*m**2 - 7*m + 5. Let y be s(6). Let w be ((-1)\/(-2))\/1 - (-18)\/(-4). Put y, w, 2 in decreasing order.\nAnswer: 2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of y**3\/6 - 9*y**2\/2 + y. Let x be b(9). Let g = -0.1 + 5.1. What is the second biggest value in 2\/7, g, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 11) + 9 + 23\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-11)\/((-33)\/(-3)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -37\/2 + 19. Suppose -2*n + 6*n = 8. Let h = -0.02 + -0.38. What is the smallest value in n, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, t: 6, s: 8, e: 2}. Give prob of picking 3 s and 1 t.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -594761695 at most -594761696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1781 - 1223. Calculate the greatest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -930, -593, 1054, 4665, 10894?\n\"Answer: 109*w**3 + w**2 - 429*w - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.81 - -0.19. Which is the biggest value?  (a) 1  (b) -3  (c) p  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2\/4 - 79*g\/4 + 873\/2.\nAnswer: -(g - 18)*(g + 97)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5 = 3*w, 0 = 2*w + 3*j + 3 - 15. Solve 0 + 9 = w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 54 - -4.3.\nAnswer: 58.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2306, 3312, -3 in ascending order.\nAnswer: -3, 2306, 3312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 331 = -2*q, -r = 4*q - 0*q - 343. Suppose 0 = -9*f + 14*f - r. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16317 in -3, -26, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001053997626 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*t**3 + t + 22*t**4 - 8*t**4 + t - 13*t**4 to the form g*t + h + b*t**4 + k*t**2 + j*t**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2879 is divided by 193.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -354, -657, -960?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -13363 in descending order.\nAnswer: 5, 2, -13363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 g when four letters picked without replacement from qggqqqqqggqqqgqq.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -234 - -399. Let v be 3\/((-9)\/(-201)) + -1. Calculate the highest common divisor of g and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + 5*r - 5*r)*(-4*r + 0*r + 2*r) - 3*r**3 - 2*r**3 + 9*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 25 = -4*s + 3, 0 = -2*w + 3*s + 11. Let l be ((-19)\/(-2))\/(w\/(-4)). Let p = 45 - l. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 10:20 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/15, 1\/3, -5\/427, -2\/7, -5, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1268899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -50 - -49. Let j(y) = 3*y**2. Let z be j(1). Put 5, b, z in decreasing order.\nAnswer: 5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**4\/2 - 1998*z**3 + 669312*z**2 - 2645376*z = 0. Calculate z.\nAnswer: 0, 4, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 10 + 3)*(((0*l - 3*l + 2*l)*(-1 + 1 - 1) + 0*l + 4*l - 2*l)*(6 - 4 - 3) - 3*l + 2*l + 0*l) to q + p*l and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88 or 2318?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, s: 3, z: 1, a: 4}. Give prob of sequence ds.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*x - 18*x + 3*x + 714420 = 0. Does 70 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**6\/120 + z**5\/20 - z**4\/8 - z**3\/2 - z**2\/2 - 2. Let i(r) be the second derivative of h(r). Give i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(4\/(-7))*-6. Let i(a) = 48*a - 26*a - j*a. Let k be (-2)\/(9\/(-6) - -2). Let w(p) = -3*p + 3. Determine k*i(x) - w(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**2 + 94*l - 30. What is the remainder when m(5) is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, f: 7, o: 1}. Give prob of picking 1 g, 1 o, and 1 f.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a\/((a\/(a**(-2)\/a))\/a)))\/(a**(3\/5)*a*a*a))\/(a*a**0\/a)**(-6\/25) assuming a is positive.\nAnswer: a**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1414*k**2 + 42*k - 181323 wrt k.\nAnswer: -2828*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 - -1)\/(-5) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/((-284)\/(-355)*(-45)\/2).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100 (base 3) to base 13.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + 12. Let f be q(0). Let m be (-412)\/(-1236) - 10\/(-6). Find the second derivative of -6*z + 7*z**m + f*z + 3*z + z wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -29 + 5610 + -5662.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.02 or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6699 and 20.\nAnswer: 133980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 j when four letters picked without replacement from {s: 6, q: 1, j: 11}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + 5*j + 6. Let g be b(-7). Let a = 33 - g. Let p = a - 12. Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 7 = 2*o, 0*o - 4*k + 4 = -4*o. Suppose 7*m - o*m + 105 = 0. Let x = m - -47. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (37 - 9)\/4 + 3 + (-1128)\/114. Let -2\/19*o + 0 + n*o**3 - 2\/19*o**4 + 2\/19*o**2 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4 - 4*w**2 + 4. Let z(n) be the third derivative of n**8\/10080 - 2*n**5\/15 - 12*n**2. Let i(h) be the third derivative of z(h). Give m(i(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 5230?\nAnswer: 62760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 (base 4) in base 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -113547 - -4151?\nAnswer: -109396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i - 19 = -67. What is the hundreds digit of 0 - -101 - 6\/(i\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -2\/17  (b) 1\/5  (c) 1\/6  (d) 34  (e) 3\/7  (f) -4\/9  (g) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1095, -9168, -31087, -73776, -144159?\n\"Answer: -1154*z**3 + z**2 + 2*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 6*h - 10. Let j be a(4). Calculate the highest common divisor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -10*g**2. Let s = 539 + -537. Let t(z) be the first derivative of 1 - 1\/2*z**s + 0*z. Calculate r(t(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75322 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 46, 42, 34, 22, 6, -14, -38?\n\"Answer: -2*c**2 + 2*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8582866277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17706167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -b**7\/14 + b**4\/12 - b. What is the third derivative of k(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100101101 + -1111000101000?\nAnswer: -1101011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*n*q**3 - 1243978*n*q**2 - 77312*q**3 wrt q.\nAnswer: 60*n - 463872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -99, -183, -245, -279, -279?\n\"Answer: d**3 + 5*d**2 - 106*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 4*b**2 - 782716*b - 782720 = 0?\nAnswer: -1, 195680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*w**5 - 9257*w**4 + 10*w**3 - w**2 - 4*w - 7953?\nAnswer: -120*w**2 - 222168*w + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1746 - 1745.8. Which is the smallest value?  (a) s  (b) 1  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(475) + sqrt(475) + sqrt(475)*1)*5 + 0)**2.\nAnswer: -534375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8 - (-231)\/(-35))\/(1\/5). Let y be (6 + -8)*6\/(-4). Solve u + y = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -p**5\/15 + p**4\/12 + p**3\/9 - p**2\/6 - 2. Factor s(x).\nAnswer: -x*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of 88 + 29\/2*m**2 - 123*m. Differentiate g(h) wrt h.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/6 + -6)*(-9)\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2342 - 13?\nAnswer: -2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 233 + -767. Let k = -2111\/4 - c. Let j = k + -163\/28. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or 107740581?\nAnswer: 107740581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1883975884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*z**5 - 120*z**4 + 5*z**3 + 28652*z**2.\nAnswer: -120*z**2 - 2880*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 + 733*v**2 + 23 - 5803*v**2 to f*v**2 + y + t*v and give f.\nAnswer: -5070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 10602 - 914 = 2*t, -2*f = 3*t - 14519. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2096, 4111, 6128, 8147, 10168, 12191?\nAnswer: 14216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 times 0.047\nAnswer: 0.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -12, -24, -44, -72, -108?\n\"Answer: -4*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13211489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.05 and 0.178800669.\nAnswer: -0.871199331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of 5*w**2\/2 + 49*w - 21. Let u be c(-11). Is -1 - 3\/(-3) - 6582\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001 - -100?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47\/4 - 12. Let m(z) = z**3 + 13*z**2 - 11. Let o be m(-13). Let q be (-2 + o\/(-6))*-1. What is the second biggest value in g, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - 28. Let q = a + 14. Suppose 0*b - 10 = -5*b, 3*z = 4*b - 5. Sort q, 4, z in decreasing order.\nAnswer: q, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 173402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-9)\/4)\/(15\/280). List the prime factors of 15 + -18 + g\/(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -1\/62, 0.17, 4\/7?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((76\/1336)\/(-19))\/((-2)\/(-12)). Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60213, 240862, 541943, 963456, 1505401?\nAnswer: 2167778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 29455 = -2*g - 29405, -152 = -8*g - 4*l for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 + 7*z**2 - z + 7. Let n be t(7). Suppose 0 = -3*b + 2*x + 163, 4*b + 2*x + x - 223 = n. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 282040 and 152240.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 2370972.\nAnswer: 26080692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21031839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 281, 12071, 2 in decreasing order.\nAnswer: 12071, 281, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 838764302?\nAnswer: 2, 83, 89, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -200021 (base 3) in base 4?\nAnswer: -13231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.466, -1, 3, -5 in descending order.\nAnswer: 5, 3, -0.466, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 4*h**2 + 0*h**2)*(187*h + 25*h - 106*h)*(17*h**2 - 54*h + 54*h).\nAnswer: 3604*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/2684 and -73\/176?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of q**4\/4 + q**3\/3 - 2*q**2. Calculate the remainder when 55 is divided by r(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 621 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18312 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**3 + 2*r**2 - 7*r - 6. What is p(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -145, 27, 5 in decreasing order.\nAnswer: 27, 5, -12, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2\/295, 0.1.\nAnswer: -1, 2\/295, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -366977 or -366938?\nAnswer: -366938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162006577 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 73518 and 870?\nAnswer: 10660110","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and -20973?\nAnswer: 20973.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-32)\/(-56)*(0 + 7). Suppose -45 = -4*y + 3*u + 79, -s*y - 2*u + 104 = 0. Suppose 4*t - 204 = y. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 77200 and 3092720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + -22202?\nAnswer: -22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 + f + 2. Suppose 3 - 4 = a, -3*h + 5*a = -11. Let o be c(h). Suppose 0 = -o*m + 2*m. Sort -4, -1, m.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/(-56)*21\/(-18)*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + ((sqrt(612) - sqrt(612)*1)*3 - -5*2*sqrt(612)))*-1)**2.\nAnswer: -360*sqrt(17) + 61209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(3\/2)\/(f*f\/(f\/(f\/(f*f**(-1\/5)\/f))*f)))**(-7)*(f**(1\/2)*f)**(-42)\/(f**0)**22 assuming f is positive.\nAnswer: f**(-651\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -4 - (-3 - 1)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-22)\/(-8) - (4 - 3). Is 3 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 5 - 63. Let v = -19 - m. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 295515 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 7*f - 35. Let c be 81\/18 - (-6)\/f. Suppose c = o - 2. What is the highest common factor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38851879523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -67 - -67. Differentiate 5 - 6*o**3 + 2*o**3 + 17 + f with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -7*q**2\/2 + 10*q - 173. Calculate p(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 4*q + 69, 11*q - 4*j + 58 = 8*q. Let k be (9\/q)\/(5\/(-2)). What is the smallest value in 2, -4, 0.09, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28 and -27.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 226570 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - -3 - (-8)\/(-3). Find q such that d*q**3 - 1\/3*q + 0 + 0*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 PM and 6:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 3*d**2 + 5*d + 6 - 6*d**2 + 4*d**2 - 12. Determine o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -154749\/106 < -1459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-50)\/(-18) - ((-52)\/(-65))\/(54\/(-15)). Which is the second biggest value?  (a) -8  (b) p  (c) 1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 4*b + 56 = 0, 4*b - 5*b = 4*q - 36. Let a = 18 - 12. Suppose a*p = 3*p + 30. What is the lowest common multiple of p and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7729091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30452331703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 3*m + 56. Calculate the highest common divisor of 112 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/(j*j**(-6))))\/j**(1\/3))\/(((j\/(j*j**(-1\/5)))\/j)\/(j**(1\/5)\/j)) assuming j is positive.\nAnswer: j**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((64\/504)\/1)\/(-2*3*71\/(-1491))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -27*q**5\/7 - 342*q**4\/7 - 1164*q**3\/7 - 666*q**2\/7 - 15*q = 0.\nAnswer: -7, -5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*y*z**2 + 591*y*z + z**2 - 15802*z wrt y.\nAnswer: -13*z**2 + 591*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2764042*h**2 - 53540142.\nAnswer: 5528084*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2833\/3 - -966. Let y = s + -22. Is y > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -66825*i**2 - 37302.\nAnswer: -133650*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (15\/(-9))\/(-5) - 14\/(-3). Let g be 3\/(-2) - 26\/(-4). Is g less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 10*f**2 - 10*f + 3. Let n be y(-9). Let m be ((-8)\/12)\/((-2)\/n). Solve 1 = 3*d + m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664887 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: In base 2, what is 0 - 110110111101101101?\nAnswer: -110110111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 193, -1695, -2\/5?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -747491 and 0.03.\nAnswer: -747490.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6395571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -125 - -120. Put 4, -4, g, 3 in decreasing order.\nAnswer: 4, 3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 370 + -353. What is the fourth smallest value in -3, 1\/3, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 6. Let h = 0.5736 - 0.0736. Let i = -190.9 + 191. Which is the nearest to s?  (a) i  (b) h  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12549, -25098, -37647?\nAnswer: -50196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -48028*t**4 - 1101*t**2 wrt t?\nAnswer: -1152672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5243070 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 7:21 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(25\/60*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -8 + 0*m**2 - 6*m + 1\/3*m**3. Let d(c) = c - 2. Determine d(t(a)).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 2\/23, -1\/9, -2\/17 in descending order.\nAnswer: 2\/23, -1\/9, -2\/17, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m + 2. Let v(u) = -5 + u - u + 4*u - u. Let r(b) = 5*t(b) + 2*v(b). Give r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 4, 4\/1537 in ascending order.\nAnswer: -2\/3, 4\/1537, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 195838174339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 197881 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -85438, -85074, -84448, -83554, -82386, -80938?\n\"Answer: q**3 + 125*q**2 - 18*q - 85546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2 - 2230*h**3 + 0*h + 2230*h**3 + 28*h - 519*h**5 + 89*h**5 wrt h?\nAnswer: -8600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 5:46 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -60802948*s**5 + 511*s + 50583?\nAnswer: -1216058960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 50 = -2*y, 3*y + 35 = -i - 23. Let r = 10 - y. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 12.2. Let q = -15 - -19. Which is the smallest value?  (a) -2\/5  (b) q  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -115 + 324 + 6*y**2 + y**3 - 8*y - 108 - 107. Give t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 35 = -4*p. Let a = 30 + p. Which is smaller: a or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2830 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 111 and 12410429.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of -o**8\/7840 - o**7\/1260 + o**5\/105 - o**4\/24 + o**2. Let s(a) be the second derivative of m(a). Factor s(j).\nAnswer: -2*(j + 1)*(j + 2)*(3*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(684) + -2*sqrt(684)*-5))**2*-5.\nAnswer: -3724380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/10)\/(o**9\/o))\/((o*o**(2\/3))\/(o\/(o\/o**(-7)*o))) assuming o is positive.\nAnswer: o**(-527\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 0.2. Suppose -2 = -10*n + 9*n. Let v = 1.5 - 2. Put i, v, n in ascending order.\nAnswer: v, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33461486 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17847983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(304) - (2 + sqrt(171))**2) + (sqrt(171) + -5 - 5*(sqrt(38)\/sqrt(2))**2) + (sqrt(2736)*-3 + -1 + 0 + sqrt(2736) + 4 + sqrt(2736))**2.\nAnswer: -73*sqrt(19) + 2470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-23)\/(-3) - (-4)\/(-6). Let y = 20 - k. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*r + 41 = 248. Are r and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -29603, -30259, -30915, -31571, -32227?\n\"Answer: -656*q - 28947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -35*b**2 - 3460*b + 83895 = 0.\nAnswer: -119, 141\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - 16) + -6 - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -416307 by 5.\nAnswer: -416307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (75*o + 3278 - 3278)*(-2*o + 4*o + 0*o + (4 - 1 - 1)*(-5*o + 0*o + 2*o) + 2*o - 2*o + 5*o) to r + p*o + q*o**2 and give q.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 9*j**2 - 8*j + 5. Let l be s(8). Suppose 4 = l*h - 11, 21 = 3*y + 5*h. Suppose 0*f + 69 = f + 3*n, 0 = y*f - 4*n - 168. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/15?  (a) -4\/5  (b) 3\/62  (c) 0  (d) -1\/4  (e) 0.3  (f) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4626611 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-5)\/(-5) - 10)\/1. Let w be 2\/v - 120\/(-54). Suppose 462 = 4*p + 2*u, -w*p - 3*u = -3*p + 119. Is p a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 45. What is the highest common factor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14867 + 14922. Solve -35*d + 120 = -j*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.07 + 3. Let v = 0.26 - t. Let b = v - 0.03. What is the closest to -0.1 in -4, 2\/9, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - -22 - -3*2\/(-6). Let b = 61 - d. What is the remainder when 157 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/28 + (-32)\/(-14). Let s(u) = -749999*u + 1 - 5 + 2. Let c be s(f). What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101111101101000 + -10101000?\nAnswer: -110000000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/2 - (-10)\/(-20). Let a(q) = q - 3 + 15 + x*q - 4*q. Calculate the remainder when 3 is divided by a(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 7:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5564468 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 11) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 19.4306 centuries?\nAnswer: 1943.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2811*s = 68083 + 66845 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*s - 72*s - 42*s - 471*s - 1150*s.\nAnswer: -1685*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*b**3 + 12*b**2*c + 4*b*c - 2*b + 15*c wrt b?\nAnswer: -18*b + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*y + 1073667 - 1074180 = 0 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p - 1. Suppose -2*o - 2 = 2. Let k be v(o). Let g(q) = -5*q - 1. What is the remainder when g(k) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, -2, -6, 8 in decreasing order.\nAnswer: 8, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 2489028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 212\/(-6) - (11 + 80\/(-9) + 184\/(-414))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5896 - 1966 - 7*t**2 - 1965 - 1965.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2068 + 1152. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57716869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 121*s + 664. Let t be k(6). Is -28 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -9*r + 4. Let t be g(3). Let v = 22 + t. Which is the second biggest value?  (a) 5  (b) 10  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 153\/(-34) - 1\/(-2). Let b(q) = 17*q + 16. Let x(c) = 18*c + 14. Let j(n) = t*x(n) + 5*b(n). What is the first derivative of j(y) wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (-45)\/6*-2. Let o = -1 + k. Suppose o - 5 = v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 8*c - 4. Let p be v(3). Calculate the greatest common divisor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 (base 4) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j + 5*j**2 + 5*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/210)\/((-100)\/1200)*140\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u**3 - 4*u**2 - 4*u + 5. Let p(n) = -10*n**2 + 4 + 2 - 10*n + 6 + 10*n**3. Let m(g) = 2*g. Let h be m(-6). Give h*y(k) + 5*p(k).\nAnswer: 2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**3 - 17*r**2 + 8*r - 17. Let w(j) = -j**3 - 9*j**2 + 4*j - 9. Let i(k) = 6*v(k) - 11*w(k). Let o be i(-4). Let q(h) = h + 1. Determine q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 4 - (1 + (-3 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -16291*v. Let o(j) = -2*j. What is z(o(y))?\nAnswer: 32582*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1574846 and 1638.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 8. Suppose n*o - 3 = -3*o. Find the first derivative of 1 - 6 + 2 + o + 2*m**2 wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10879 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -2\/13  (c) -276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/3, 1, 2.7, -1620 in increasing order.\nAnswer: -1620, 1, 8\/3, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v = -13*v. Suppose 0*o + 3*o - 33 = v. Calculate the remainder when 42 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 22 - 133. Which is bigger: d or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2960085*c**6 - 8261651*c**2 wrt c?\nAnswer: -355210200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 50 + 4*v**3 - 3*v**4 - 3*v**2 + 43 - 3*v - 143 + 45 in the form u*v + r*v**4 + s + c*v**2 + b*v**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 - -42. Let v(z) = z**2 + 11*z - 22. Let h be v(a). Suppose h*n = 9*n + 15, -4*n + 68 = 4*c. Calculate the least common multiple of c and 66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 1)\/(-28*(-46)\/(-8372)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**9*(l*l\/((l\/((l*l\/(l*l**9))\/l))\/l))\/l*(l**(-1\/3)*l)\/(l*l**(-4)))\/((l*l*l**8*l)\/(l*(l**12*l)\/l*l))**12 assuming l is positive.\nAnswer: l**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3*z**2 - 3*z**4 + 2*z**4 + 2*z - 2*z**3 - 2*z**2 to the form a*z**2 + m*z**3 + s + d*z**4 + r*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9430290 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**3 + d**2 + 2*d. Suppose -w = 2*w + 9. Let s be h(w). Let v = s - -80. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10.09 + -10. Let d = o + 0.01. Which is the closest to d?  (a) 1\/3  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 - -21. Suppose -3*w = -4*w + k. Suppose 3 + 11 = w*s. What is the least common multiple of 8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of 0*j + 75\/2*j**4 + 1\/6*j**6 + 17\/4*j**5 - 144*j**2 + 0 + 90*j**3. Factor n(f).\nAnswer: 5*(f + 6)**2*(4*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 382.4941 years in centuries?\nAnswer: 3.824941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -41d + -247b?\nAnswer: -2898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*i - 9 = -0*i, 5*c = -3*i + 16. Let w = 0 + c. Solve w*r - r = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-5))\/(2*((-145)\/1225)\/(-29)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 142 + -18?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9779 (base 13) to base 16\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-53*f - 5*f - 72*f)*(-34*f - 163 + 163) as z*f**2 + t + s*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.4 - -11.4. Let l = m + -8.9. Let k = 1.104 - l. Round k to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x - 3*x - x - 10. Let y be 5 - (6 - 1) - 6. What is the remainder when 51 is divided by f(y)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 56860 or 56855?\nAnswer: 56860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9\/2 + 19\/4. Let j(w) be the second derivative of -3\/2*w**2 - 2*w + 0*w**3 - q*w**4 + 0. Differentiate j(f) with respect to f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468)*6*2.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/11 - (-6)\/(-33). Suppose v = 7*n - 3*n - 20. Suppose -n*h + 39041459 = -6958541. Round h to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 21*x**2 + 5 - x + 3 + 11.\nAnswer: -21*x**2 - x + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 3) + (-13 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 3302.6739445 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 25*g - 67. Let a be d(22). Calculate the remainder when 52 is divided by a + 28 + 36\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 610577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4781\/130 - 18\/65. Let z = -4198\/5 - -13017988\/15505. Let i = 89913\/24808 - z. What is the common denominator of t and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 363, 585, 719, 765, 723, 593?\n\"Answer: -44*c**2 + 354*c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uoiuouuooiouoouuouo. What is prob of picking 2 o and 2 u?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52070?\nAnswer: 2, 5, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**4\/5 + 10854*c**3\/5 + 21698*c**2\/5 - 10854*c\/5 - 4340 = 0 for c.\nAnswer: -5425, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b2d - -1b?\nAnswer: b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 23\/(-138) + (-43)\/(-6). Let m(t) = t - 7. Determine m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(2\/9)*s*s)\/(s\/s**(2\/9)))**(-9\/8))**(2\/77) assuming s is positive.\nAnswer: s**(-13\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((19\/(-5))\/((-434)\/1302))\/(4\/(-20)*1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/(-35)*((-384)\/304)\/12.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**2 + 10*f + 18. Let v be p(6). Let j be 11 + (-6)\/(-9)*v. Suppose -d = 3*l - 9, -7*d + 6*d = 5*l - j. Solve n + n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**3 - 5 + 5)*((0 - 3 + 4)*(-4 - 7*x + 4) + 1 + 2*x - 1).\nAnswer: -15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**5\/5 + 26*r**4\/5 + 112*r**3\/5 + 32*r**2 = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12506 + -12504. Suppose 0*m = -2*t - 3*m - 3, -2 = -t + 2*m. Suppose t = 8*k - 5*k - 5*l - 992, -k - p*l = -316. Does 36 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -1. Let g(u) = 3*u - 7. Let w(i) = 8*i - 15. Let b(p) = -3*g(p) + w(p). Calculate -6*b(o) - 34*y(o).\nAnswer: 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 - 69*x**3 - 1149*x**2 + 1645*x + 7350.\nAnswer: -(x - 3)*(x + 2)*(x + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 17.2090513+1089703\nAnswer: 1089720.2090513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172*j**3 - 4210*j + 4210*j.\nAnswer: -172*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2878, 5, -53, -4, 1, 2, -81 in increasing order.\nAnswer: -2878, -81, -53, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6373, 12437, 18501, 24565, 30629, 36693?\n\"Answer: 6064*i + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8057258861 to the power of 1\/3, to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 456\/1483 + 20922509\/13347. Let a = o - 1563. Find the common denominator of a and 2\/3*285\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -2) + -4 + 7. Suppose 0 = -3*u + 15. Is d bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.136 - -0.036. Let x = 0.2 + -0.4. Put -2\/13, 0, x, n in decreasing order.\nAnswer: 0, n, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 740227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 8 = 4*r + 36, 0 = 5*v - 2*r - 78. What is the remainder when 62 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -4*x - 18218, 6*x = -3*w + 8929 + 9239. What is the highest common factor of 72 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 213740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.2 + -54.2. Let d = -48.0027 - t. Round d to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 1.8, 2\/3 in decreasing order.\nAnswer: 1.8, 2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t - 33. Let s be j(-11). Let l = s - -45. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 43 - -12?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3 - 30*m**2 - 8145*m + 8170.\nAnswer: 5*(m - 43)*(m - 1)*(m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -172.\nAnswer: 7\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4543\/15 - 302. Let z = j - 38\/15. Is -31 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12317*x + 108773 + 517285 - 59476 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000547104 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -24 and 13349?\nAnswer: -320376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1621 divided by -444341?\nAnswer: 1621\/444341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -1 - (7 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 298 = 2*c + 56. Let l(b) be the first derivative of 1\/2*b**2 + 0*b**4 + 0*b**3 + 2*b**5 + c + 0*b. What is the second derivative of l(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1*(sqrt(153) + -4) - sqrt(153)*2*4)**2.\nAnswer: 840*sqrt(17) + 37565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*q + 210*q - 125 = -s, 0 = -q + 8. Suppose 2*g = 2, 6*g - 3*g = -5*j + 8. What is the remainder when s is divided by 38 - (1 - j\/1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*k = 5, -p = 2*k + 3*k - 28. Suppose -5*i - p = -23. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of -5*x**3\/6 + 3*x. Let l(g) = 124*g**2 + 113*g**2 - 354*g**2 + 113*g**2. What is l(h(v))?\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/605, 0.5, -68533?\nAnswer: -68533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 227 - 194. Let j = 35 - m. Find w, given that 0*w - 1\/3*w**4 + 0 - 1\/3*w**5 + 1\/3*w**3 + 1\/3*w**j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/9)\/((-2)\/9). Let w = v - -4. Let u be 0 + (w - -2)*-1. Is u less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 74 - 39. What is the remainder when y is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of 35\/6*w**3 - 137\/2*w**2 + 40 - 1\/6*w**4 - 4*w. What is the first derivative of n(p) wrt p?\nAnswer: -4*p + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 6*m = -975. Is m a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 698.942944 to zero dps.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60993 and 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -813*c - 816*c = -1645*c + 4*k - 224, 5*c + 79 = -k for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 7*w - 4. Let z be b(3). Suppose 3*r - z = 7. Solve -14 = r*s + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1662 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1da - 6b4?\nAnswer: -4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**6*w)\/w*w**(-1\/3)\/w)**(-40) assuming w is positive.\nAnswer: w**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 + 14*o + 17. Let m be t(15). Solve 5*g - m*g = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**4 + 2*p**3 + p - 1. Let v(z) = 306*z**4 - 6*z**3 - 35*z**2 - 3*z + 3. Let b(r) = -v(r) - 3*w(r). Find the third derivative of b(j) wrt j.\nAnswer: -7200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3. Let k(h) = h - 2. Let t(g) = -4*k(g) + 3*o(g). What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 9*n - 22. Put -4, n, 4 in increasing order.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 566232 (base 7) to base 10\nAnswer: 100620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2*r**2 + 3)*(-2*r - r + 4*r)*(1 + 1 - 55) + (3 - 4 + 3)*(3 - 2*r**3 - 3) to the form x*r**2 + d*r**3 + g + m*r and give d.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s - 95 = -9*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 21 = -5*l + 14, 5*r + l = 23. Solve -3*n - 8 = -2*o, -3*n - 16 = 2*n - r*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-2 - sqrt(5) - (sqrt(125)*2 - sqrt(5)) - -2*sqrt(135)\/sqrt(48).\nAnswer: -21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 78 = -q, 5*m = -0*m + 15. Let g = -6 - q. What is the greatest common factor of g and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 205*i**5 + 3*i**4 - 7*i**2 + 39 wrt i?\nAnswer: 12300*i**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.4 - 25.4. Let u = i - -17. Let v = -38\/5 - -7. What is the biggest value in v, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -7*i**6\/15 + 6*i**2 - 16*i. Find the first derivative of j(z) wrt z.\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4*x**2 + 191*x - 433. Let b be w(-50). Let f(d) = d**2 - 18*d + 15. Determine f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2494934 divided by -2.\nAnswer: -1247467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -5*d. Let q be n(1). Let k(u) be the third derivative of u**5\/60 + u**4\/24 + 5*u**3\/6 - u**2. Is k(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93856907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 + 0*p + 20*p**2 - 18 - 7*p + 8*p + 1 wrt p.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1191 + 0.3191. Which is the second biggest value?  (a) w  (b) 78  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 - 8*p + 3. Let n be h(-8). Suppose 4*i - 3 = n*y + 97, -90 = -5*i - 5*y. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2195563 < -2195563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 26. Suppose 20 = 2*l - 7*l. Let k be (l\/(-8) + 0)*0. List the prime factors of s(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2*w = 7*w + 3312, -5*b - w = -8253. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(1 + -3)*(-2 - -1). Let d(f) = 3*f**o - 2*f**2 - 3*f**2 - 5*f. Calculate d(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47.8 - 48. Let n be (-20)\/(-7) + -3 + 0\/2. Which is the nearest to 1\/5?  (a) -4  (b) p  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(23\/3)*v*v**(-26)*v\/(v**20*v)*v\/(v*v*v*v*(v*v*v**(5\/18)\/v*v)\/v))**(-12) assuming v is positive.\nAnswer: v**(1498\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-s + 1 + 0 + 0)*(-4577 + 4577 - 334*s) as h + v*s**2 + f*s and give v.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(300)*3 + sqrt(300) + sqrt(300) + 5.\nAnswer: 3 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3805 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/27 and (-453)\/(-48)*30\/(-450).\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 4:21 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1430543049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20898 and 324.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 958074 and 46150.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*f - 1247 - 2081, -5*f + 2*b + 4193 = 0. Let c be (3772\/(-115))\/(2\/(-5)). Suppose 0 = -c*a + 85*a - f. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2*((-3)\/(-6) - -2) + 610.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/4 + (0 - 2). Suppose 4 - 2 = s. Suppose -s*b + 6 = -4*g + 6*g, 4*g - 6 = -b. Sort 4, f, b in decreasing order.\nAnswer: 4, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -2)\/((-3)\/(-81)). Suppose -73 = -5*r + j. Let l(q) = q**3 + 5*q**2 + 2*q. What is the least common multiple of l(-3) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -3004, -0.016, -1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**2\/6 - 30937700*y\/3 + 478570640645000\/3 = 0 for y.\nAnswer: 30937700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r = 13*r + 3*k + 12, 4*k = -r + 4. Calculate the lowest common multiple of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**5*p)\/p*p\/(p\/(p*p\/(p*p**(-1\/8)*p)*p)))**(-1\/16) assuming p is positive.\nAnswer: p**(-49\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/21870 and 59\/4860.\nAnswer: 43740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -127 + 235. Suppose 2*p = -3*p + 5*s - 270, k = -2*p + 5*s. Find the common denominator of (-1767)\/p + 2\/(-9) and 31\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.757873 micrograms in kilograms?\nAnswer: 0.000000003757873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000226757632 to seven dps.\nAnswer: -0.0002268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 + 2*d**2 - 6*d**2)*(d**2 + 0*d**2 + 0*d**2) + (2*d**2 - 5*d + 5*d)*(-d + d - d**2) - 4*d**4 - d**4 + 0*d**4.\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2639, -9410, -16181?\nAnswer: -22952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -147 times 347586\nAnswer: -51095142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 16) in base 3?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 31.17 - -0.11.\nAnswer: 31.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (55\/((-6600)\/10720))\/(48\/(-36))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196130368 divided by -178.\nAnswer: -1101856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1364 and 1214505124?\nAnswer: 1214506488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (65\/(-10))\/((-2)\/(-4)). Let i = -29\/2 - v. Find the common denominator of -89\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6268805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2838221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1729)\/11 + (-2)\/(-11). Let v = 319 + k. 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: Find the second derivative of 2*k**3*l + 5209120*k**2*l**3 + k - 195*l**3 + 20482 wrt k.\nAnswer: 12*k*l + 10418240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -295*t**2 - 2*t - 5. Let d(x) = 147*x**2 + x + 2. Determine 2*b(j) + 5*d(j).\nAnswer: 145*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*n - 9*n + 4 - 11*n)*(-5 + 6 + 2).\nAnswer: 6*n + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -10*i - 6. What is the smallest common multiple of y(-7) and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 691092710 divided by -10703\nAnswer: -64570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.301176ml in litres?\nAnswer: 0.003301176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -306 + 60. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*-1.454\nAnswer: 4.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkq when four letters picked without replacement from {q: 1, p: 7, k: 6}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 0) + (-26 + -6 - (-28 - -12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3 - 82526*f**2 - 825092*f - 1320096.\nAnswer: -2*(f + 2)*(f + 8)*(f + 41253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(4*3\/48). Suppose 0 = -3*a + m*o - 12, -5*a = -0*a + o - 3. Suppose 2*d - 4 = 5*x + 26, a = -3*d + 4*x + 31. Solve 0 = 3*v - 4 - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -9*h + 4. Suppose 2*a + 2 = 0, 6*a - 4*a - 97 = 3*o. Let d be o\/(-9)*-3 + 4. List the prime factors of p(d).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6*(-8)\/(-60)*-5. Which is the third biggest value?  (a) -3\/8  (b) o  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1095161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of -h**5\/15 + 13*h**4\/3 - 257*h**3\/3 + 408*h**2 - 576*h - 7487. Factor c(y).\nAnswer: -(y - 24)**2*(y - 3)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 26, 48, 74, 104?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -122*k**2 + 982591*k\/2 - 12081\/2 = 0.\nAnswer: 3\/244, 4027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5*m - 55 = -0*m, -2*w + 3*m = -32. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 94*z**2 + 254*z + 187. Does 43 divide s(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45612112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*s + 5*s - 16034*s**3 + s**4 + 16028*s**3 + 1 in the form v*s**4 + i*s**3 + x*s + h + q*s**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -62*o - 394. Let k be j(-7). Suppose -51*w + 16577 = -k*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -48, -2, -9, 131, 3, 13, -5 in descending order.\nAnswer: 131, 13, 3, -2, -5, -9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 2065894.\nAnswer: 2065894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2044466 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (4\/3)\/(1\/3*-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.902 + -0.058. Let u = 0.04 - o. Sort u, -0.1, -0.2 in descending order.\nAnswer: u, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001448 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -112*i**3 - 7*i**2 - 35. Let u(n) = 37*n**3 + 2*n**2 + 12. Let q(r) = -7*u(r) - 2*w(r). What is the derivative of q(y) wrt y?\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*h + 1118 = -934 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -6. Suppose -3*j = 2*a - 6, -3*a - 2*j - 3*j = -9. Factor 0 - 2*s**t + 1\/2*s**a + 2*s.\nAnswer: s*(s - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4*o = 5*o + 15, -4*w = -5*o - 63. Suppose 0 = -8*a + 3*a. Suppose u - 60 + w = a. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14.64 - -14.57. Let z = -2 - -5. Let m = -3.3 + z. Which is the third smallest value?  (a) g  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115589 is divided by 57784.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 - 7. Let g be c\/(-14)*(-21)\/(-6). Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*r - 111 = -23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 7\/2*v**2 + 0*v - 2. Let t(p) = p**2. What is x(t(f))?\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -88*c**5 + 2*c**4 + 23*c**2 + 5172*c wrt c.\nAnswer: -1760*c**3 + 24*c**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -104, -3116, -1\/2 in descending order.\nAnswer: -1\/2, -5, -104, -3116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l. Let v(o) be the third derivative of 37*o**4\/24 + 53*o**2. What is v(t(j))?\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 297*p + 4. Let u(a) = 597*a + 7. Give 11*l(j) - 6*u(j).\nAnswer: -315*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -196.9599 + 197.1. What is z rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 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 m(v) be the second derivative of v**4\/12 + 7*v**3\/6 + 3*v**2\/2 - 2*v. Let u be m(-7). Sort 6\/5, 0.5, u.\nAnswer: 0.5, 6\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47931, -47908, -47881, -47844, -47791, -47716, -47613, -47476?\nAnswer: -47299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + 1\/(-2)*2. Let q(a) = -a + 3. Let n be q(1). Let l be 6\/(-4)*((-20)\/3)\/n. Sort f, l, -4.\nAnswer: -4, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 - 4. Let a(t) be the third derivative of -t**6\/120 + t**5\/60 + t**4\/12 + 2*t**3 + 17*t**2. What is the remainder when j is divided by a(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y + 12. Let w be a(-4). Suppose 3*n - 2*h = -10, n - 2*h - 2*h + 20 = w. Factor n + 2\/5*z**2 + 6\/5*z.\nAnswer: 2*z*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*d + 180 = 4*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -9 + 0 + 4 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) 2\/181  (c) 0  (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - g + 10. Suppose k - 6*k = g*a - 25, 0 = 2*k + 4*a. What is the lowest common multiple of 6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 272, 554, 798, 986, 1100?\n\"Answer: -3*k**3 - k**2 + 306*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -117439943*t**6 + t**5 + 27*t**2 + 2*t - 1335420?\nAnswer: -14092793160*t**3 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 7*z**3 + 6*z**2 + 31*z - 14. Let d(y) = -10*y**3 - 9*y**2 - 46*y + 21. Let o(g) = -5*d(g) - 7*i(g). Is o(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 5*s**3\/3 - s**2\/2 - 2. Let b be d(1). Let a = b - -1. Solve -3*i = 2*i + o - 2, -3*o = -a*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -163*o + 4. Is q(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1889 = -m - 455. What are the prime factors of m?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36 - 29 - (-1 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 967677457?\nAnswer: 15271, 63367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*v + 260*v**2 - 182*v - 53424 - 208*v**3 + 30*v**4 + 176*v**2 + 53406 = 0. What is v?\nAnswer: -1\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 + -2)\/(2\/(-5)). Let h(v) = -3*v**2 + 8*v. Let l(k) = -k**2 + k - 1. Let m(z) = h(z) - 4*l(z). Is 9 a factor of m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -d - 104, d = -2*d + 4*s - 260. Let l = 134 + d. Let u = l + -20. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.629059 - 0.371001. Let n = d - -3. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from {r: 3, b: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 11) in base 3?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.0747 times 5\nAnswer: 0.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1363672 is divided by 454549.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-148)\/(-74)*(-5)\/234)\/((-565)\/(-678))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*w = 20*w - 513 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1323)*2*4 - sqrt(1323)) + sqrt(1323))\/(sqrt(9) - sqrt(243)\/sqrt(3) - sqrt(63)\/(-2*sqrt(7))).\nAnswer: -112*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/6, -0.2, -2.5511, 3, 1\/3, -1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0028?  (a) -2\/21  (b) 913.6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -30*d**2 - 2*d. Let t(f) be the second derivative of f**4\/12 - 34*f. What is b(t(z))?\nAnswer: -30*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28.7 - -31. Let w = -2 + v. What is the nearest to 0.2 in w, 4, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 965148089 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -15587*f + 467495. Calculate n(30).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 27 and 1584\/59 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350)*1)\/sqrt(7) + ((sqrt(36) + sqrt(216)\/sqrt(6))\/sqrt(9))\/sqrt(2).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 872291363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, j: 2, s: 1, g: 2, e: 3, a: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77.935 + 78. Let g = f - 25.065. Which is the closest to -0.1?  (a) g  (b) -5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 8*h - 9 - 8)*(h**2 + 0*h**2 - 3*h**2).\nAnswer: -16*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105 divided by -4.\nAnswer: -105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -986, -1032, -1074, -1112, -1146?\n\"Answer: 2*r**2 - 52*r - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/299, -0.2, 4015?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 7:26 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(140\/186) - 15600\/(-10920)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1379 - 1830 - 999 - 2*b - 1022 - 113 as a + i*b and give a.\nAnswer: -5343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216774 is divided by 216709.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10788 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(l) = 22*l**2 + 3399*l + 88202. Determine z(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2100913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a. Let u(q) = 2067*q. Calculate u(s(f)).\nAnswer: 2067*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 2*c**4\/15 + 188*c**3\/3 - 37746*c**2\/5 - 1086592*c\/15 - 972416\/15 = 0.\nAnswer: -568, -8, -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - 2*sqrt(77))*6 + ((sqrt(77) - 1*sqrt(77)) + sqrt(77))*-3)\/(sqrt(99)\/((sqrt(72)*-1)\/sqrt(8)))*-2.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/619 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 16) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -661544753 by 1.\nAnswer: -661544753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2916688 millennia in centuries?\nAnswer: 2.916688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 1859*f - 507511. Give t(273).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 17. Which is the nearest to 2?  (a) 3  (b) m  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of 1\/3024*s**8 + 0*s + 1\/180*s**6 + 1\/135*s**5 + 1\/216*s**4 + 0 + 0*s**3 + 2\/945*s**7 - 12*s**2. Factor u(h).\nAnswer: h*(h + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ti when two letters picked without replacement from ippta?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 241129046*u**3 - 957790229*u**2 wrt u?\nAnswer: 1446774276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -45072*z**2 - 2*z + 52298?\nAnswer: -90144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -485*h - 2058 + 2036 = -12632 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 1329*z + 1326*z = -5*b - 156, 5*b = -3*z - 144 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*2*sqrt(84) + -1*2*sqrt(84))\/((sqrt(12) - (sqrt(96)\/(sqrt(8) + 2*sqrt(8) + sqrt(8)) - sqrt(12))) + sqrt(1728)*1))**2.\nAnswer: 448\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 47\/3 in -14, 3, -2\/2325, -4, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 212779871 divided by 12516463?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + k**2 + 3*k + 2. Let z be w(-2). Suppose 5*b = 7 + z. Suppose b*t = -x + 26, 4*x - 6*x + 7 = t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -4*d**2. Suppose -i + 0 = 3*j + 7, -j = 5*i - 7. Let r(z) = -z**2 + 7. Let w(c) = 2. Let g(k) = i*r(k) - 7*w(k). Determine p(g(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -62503*y - 187502. Determine g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 308036 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 10*t**2 + 25*t - 16. What is b(-11)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20809*k**4 - 18*k**3 - 32344*k**2 + 9*k.\nAnswer: -499416*k - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 155*h**2 - 106*h**3 - 10126616*h + 8*h**2 + 10126616*h wrt h?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*n + 26*n + 1 + 5*n**4 + 0 + 2*n**2 to i*n**3 + j*n**4 + z*n**2 + s*n + k and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n + 2*n**2 + 16*n**4 - 2*n**4 + 138*n**5 - 16*n**3 - 141*n**5 = 0.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 52 = -0*u. Let w be 0 - 2*(3 + u). Let c = w - 32. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5 = -10. Suppose 4*p + f - 14 = -0, 2*p - 10 = f. Calculate the remainder when (86\/4)\/(2\/p) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9679 + 27?\nAnswer: 96a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + (sqrt(343)*4 - sqrt(343)) + 0 + -3*-3*sqrt(343)*-1 + 3)**2.\nAnswer: -2100*sqrt(7) + 61865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/60164 and -55\/676?\nAnswer: 60164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -551*y**3 + 1313 with respect to y.\nAnswer: -1653*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 + 17 = -5*h + 3*c, h + 0*h = -2*c - 0*c + 3 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 5 - (15 - (2 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.0108668 to one dp.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(1\/6)*l*l*l\/(l**(2\/3)\/l)*(l*l**(-1)\/l*l)**27)\/(((l\/(l*l\/l**(-2\/7)))\/l)**(-20\/3)*((l**(-6)*l)\/l)\/l**1) assuming l is positive.\nAnswer: l**(-157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 20*d - 18. Suppose -8*w - 68 + 36 + 48 = 0. Let g(a) = 1 - 2 + 3*a - 2*a. Let o = 2 + -38. What is o*g(y) + w*m(y)?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*n + 0*n + 4*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1582073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*v - t - 1, 0 = -3*v - t + 3. Suppose -v*f + 2*x = 2*f + 494, -3*x = f + 141. Let w = f + 258. What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 13, b: 3}. Give prob of picking 2 o.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3847, -3918, -4023, -4162?\nAnswer: -4335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/2)\/(-3)*(-8)\/(-12). Let y = 50491\/536 - 72\/67. Let r = y - 93. Is t != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 69*j**6 + 67*j**2 - 11*j. Let s(w) = -35*w**6 - 33*w**2 + 6*w. Let y(g) = 11*s(g) + 6*x(g). Find the third derivative of y(o) wrt o.\nAnswer: 3480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3625961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-10 - -3) + (-546)\/(-13) and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/s**3)\/(s*s**(2\/25)))\/(s\/(s*s**(-1)))**(7\/8))**(-8))**(1\/22) assuming s is positive.\nAnswer: s**(791\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, 0.3, 5, -1\/3, 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dkkdookdldokqq. What is prob of sequence ld?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 - u + 3. Let w(i) = -2*i**2 - 2*i + 4. Calculate -5*s(d) + 4*w(d).\nAnswer: -3*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/680914 and -89\/182.\nAnswer: 4766398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62 - -34. Let d(b) = 4*b + 123. What is the remainder when p is divided by d(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2 - 23*l + 60 = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - 1\/((-1)\/(-2)). Suppose -5*w - 50 = -10*w. Calculate the remainder when ((-38)\/3)\/(2\/u) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.8 + -0.2. Let j = h + 4. Let a = -0.25 + 0.15. Sort j, -2\/7, a.\nAnswer: -2\/7, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of h**6\/36 - 25*h**5\/48 + 5*h**4\/8 + 14*h**3\/3 + 40*h**2 + 1. Let z(f) be the first derivative of a(f). Factor z(v).\nAnswer: 5*(v - 6)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 24\/722*30. Let u = k + 1451\/2527. Calculate the common denominator of 21\/10 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14435, 45, 1.\nAnswer: 1, 45, 14435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 20*c - 35065. Give f(-178).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 162 + 234. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 273*n - 135*n + n**2 - 137*n.\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -3*z**2 - 16*z - 18. Let x be c(-1). What is the biggest value in 3\/4, x, -3\/2, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/80 and -47\/3820?\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 0*g - 4*g - 19*g.\nAnswer: -23*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**0)**(-2\/39))**7)**(-2\/11) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 137*w**2 + 75*w - 287. What is the hundreds digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 3*i = 0, -3*h + 5*h + 6 = -3*i. Is 1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 432 - 432. Suppose i = 25*a - 17*a - 6416. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23896*g + 2*g**2 - g**2 + 23896*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (-26 - 4 - -17)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28255348?\nAnswer: 2, 11, 541, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 16*a**2 - 4*a - 5. Let h be d(-7). Suppose 4*r = 8*r - h. Factor 29 - 5 + 90*p**2 - 12*p - r*p + 75*p**3 + 20*p.\nAnswer: 3*(p + 2)*(5*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4072 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(68) + 1)*-6.\nAnswer: -48*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/6, -0.3, 2\/7, -14, 788\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 190 and 6707.\nAnswer: 67070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.8 + -0.2. Sort -2\/13, -0.5, c in ascending order.\nAnswer: c, -0.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 10*n**2 + n + 10. Let c be h(10). Suppose -s = -5*s + c. Suppose 10*z - 225 = s*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 97537?\nAnswer: 29261.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1\/5, 8, 0, 2, -2\/5, -238, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 9 - 17. Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 13*f**3 - f. Let x be q(1). Let y be ((-195)\/(-18))\/(x\/232). Let n = 210 - y. Calculate the common denominator of n and -145\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from raaaranannn. What is prob of sequence rrnn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1114 (base 9) in base 5?\nAnswer: 11243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + s**2. Let g(v) = v**3 - 2*v**2. Let i(x) = -3*g(x) - 2*o(x). Let a be i(4). Factor 1\/2*y**5 + 3\/2*y**3 + a - 3\/2*y**4 + 0*y - 1\/2*y**2.\nAnswer: y**2*(y - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-620)*-5)\/(((-4)\/17)\/((-828)\/(-7038)))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 4860  (b) -5  (c) -4  (d) -3  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60549986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.05 at least -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 629*l = -950 + 321 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52\/104*(-4)\/(15\/60*8\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 5*q - 225 = 0, 0*i - 3*q - 53 = -i. Suppose c - i - 106 = 0. Calculate the remainder when c is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -99, -4, -5, -3 in decreasing order.\nAnswer: -3, -4, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u + 17. Let b(x) = x - 4. Let f(p) = -26*b(p) - 6*v(p). Let n = -48 - -46. Calculate f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245.5 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 31 = -22. Solve -u*f - 8 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 1704 = -2316. Suppose -u + 198 = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2. Let d be 10 - 15\/(75\/40). Let v(h) = -2*h**3 + h. Let n(i) = 3*i**3 - i. Let q(y) = 4*n(y) + 5*v(y). Determine d*s(p) - q(p).\nAnswer: -2*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + (sqrt(72)*-3 + sqrt(72))*-4 + sqrt(72) + -5*sqrt(72) + 4 + (sqrt(72) + 2)*-5 + -1 + sqrt(72) + 4*sqrt(72))**2.\nAnswer: -420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1 + 4.1. What is the third biggest value in y, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3409909 and 1687.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*(sqrt(720) - (sqrt(720) + 0)*1 - (-2 + sqrt(720) + 1))*4)**2.\nAnswer: -1536*sqrt(5) + 46144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -847429728*n**3 - 2*n**2 - 9*n - 15792189?\nAnswer: -5084578368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-12))\/(10\/8). Let d be 20\/(-15)*(-2)\/((-2)\/(-9)). Let p(w) = w**3 - 12*w**2 - 2*w + 24. Let s be p(d). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*r - 45226 - 24238. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 568252411?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 5*r - 8. Let h be q(3). Suppose o = -h + 9. Solve 2*s + o = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 + 3*a**2 - 2*a. Let b(x) = 10*x**3 - 22*x**2 + 9*x. Let r(c) = -4*c**3 + 8*c**2 - 3*c. Let n(m) = -3*b(m) - 8*r(m). What is 2*n(p) - 3*z(p)?\nAnswer: -2*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6204.62ng to micrograms.\nAnswer: 6.20462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/6840 and -37\/9120?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.014 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -1. Let j = p - 8. Suppose -j*g = -5*n + 957 + 714, -2*n + 666 = -g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 174.2717 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19221*d**4 - 2*d**3 - 174104*d**2?\nAnswer: 461304*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10154 is divided by 3638?\nAnswer: 2878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (-12600009)\/2 + 33\/22. What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l**3 + 10321803 - 10321803.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kt when two letters picked without replacement from nnadnnktknnnantdk?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1900 divided by -10.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 315  (c) 0  (d) -5\/49  (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/66)\/(2\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 7*t = 0. Let x = -0.05 - -0.55. Let m = 1145 - 1142. Which is the third biggest value?  (a) t  (b) x  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of 50*g + 0*g**4 - 39\/10*g**5 + 79\/2*g**2 + 0*g**3 + 0. Differentiate x(o) wrt o.\nAnswer: -234*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 249560 and 340.\nAnswer: 249560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 8*i**3 - 14*i**2 - 3*i - 11. Let o(z) = -3*z**3 + 5*z**2 + z + 4. What is 4*f(b) + 11*o(b)?\nAnswer: -b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 212672 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-14\/3)*z)\/(z*z**8*z) assuming z is positive.\nAnswer: z**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-61 - (-13340)\/261)\/(4\/36)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17843, 35685, 53527?\nAnswer: 71369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 188*c + 38. Let u be a(21). What is the hundreds digit of -4 - (u\/(-12) - (-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/15)\/((-3)\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1079.8647 minutes?\nAnswer: 17.997745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 39 - 25 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -50*k + 19*k**2 + 21*k - 79 - 13 + 8. Let d be v(-7). Calculate the highest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 57239709370 to the nearest 1000000.\nAnswer: 57240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 586429, 586552, 586667, 586768, 586849?\nAnswer: 586904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5790)\/21230 + 0 + 1)*(-3)\/(-12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 + 2*u + 8*u**2 - 2*u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 106\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 295467 (base 10) to base 12\nAnswer: 122ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/2252 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 4\/5*f + 2\/5*f**2 + 2\/5*f**3 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -452 = -139*u - 869. Sort -2, 58, u, -1, 0.\nAnswer: u, -2, -1, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277559053?\nAnswer: 41, 6769733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -4272, -30, -3 in descending order.\nAnswer: -3, -4, -30, -4272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f**2 - 6064*f - 999600 = 0 for f.\nAnswer: -150, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 41, -68, -1, -5, 18, 0 in descending order.\nAnswer: 41, 18, 0, -1, -2, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1952 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23520234 to the nearest integer?\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 13*n - 4*l - 134 = 0, -2*n = -2*l + 108. Let k(z) = -z**3 - 51*z**2 - 50*z + 13. Calculate the remainder when 34 is divided by k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and -251853278.\nAnswer: -251853278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -19249 > -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 3*s + 6 = 0, 2*s + s - 24 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*v**2*y**3 - 183084*v**2*y + v*y**3 + v*y**2 - 2*v*y + 118045*v - y**3 + 13*y**2 wrt v?\nAnswer: 86*y**3 - 366168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1541 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 7*r**3\/6 + 7*r**2\/2 - 550*r. Let n(s) = -6*s - 6. What is 5*b(f) + 6*n(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162*r**3 - 154*r**3 + 471*r**3 - 153*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -134 - ((120 - 68) + -117)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 95 + 903162*x**2 - 903162*x**2 + 1165*x**4 wrt x.\nAnswer: 4660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74092 divided by -4.\nAnswer: 18523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 13\/3 + (-7)\/21. Suppose -v*f + 5 - 1 = 0. Let c(w) = -w. Let a(k) be the third derivative of -k**4\/24 - k**3\/6 - k**2. Give f*a(h) + c(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -407300*p - 100. Let n be d(3). What is n rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -435138 + 402?\nAnswer: -434736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -4*p**2 - 3*p + 4. Let y(b) = 3*b**2 + 2*b - 3. Let m = -13 + 18. Determine m*y(j) + 4*d(j).\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 475*b - 18 = -2*u + 480*b, -u + b + 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*c - 9*c - 3*c**2)*(4*c - 4*c + 2*c**2) + 232*c**2 - 232*c**2 - 156*c**4.\nAnswer: -162*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 7:23 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1979 + 0.6979. Which is the third biggest value?  (a) 41  (b) -0.1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 14*u**2 + 9*u + 3. Is s(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2131 - -2134. Put -463, 2, z in ascending order.\nAnswer: -463, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -49012*g**2 - 23231 wrt g?\nAnswer: -98024*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 35a1 (base 11) to base 9\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 476*f**2*k**3 - 601908*f**2*k**2 - 3*f*k**3 + 2*f*k**2 + 4*f*k - f - 1380*k**3 wrt k.\nAnswer: 2856*f**2 - 18*f - 8280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 364392 by 121464.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 5:32 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 1220?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s**2 + 46*s + 3*s - 22*s - 3 - 4 as u*s + c*s**2 + f and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 305 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.163, -0.02, 5, 1 in descending order.\nAnswer: 5, 3, 1, 0.163, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*v - 2*v - 2641 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of 0*f + 2\/39*f**3 + 0 + 1\/390*f**5 - 104*f**2 + 1\/52*f**4. Factor y(m).\nAnswer: 2*(m + 1)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - i = 47, 5*z - 53 = 8*i - 9*i. Solve m - 3*w - 14 = 0, 0*w + z = -5*m - 5*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1658 + -1067. What are the prime factors of o?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a*a**(-16)*a*a*a*a*a\/(a*a\/(a\/((a*a*a*a**(-8)\/a)\/a))*a)*a*(a\/a**(8\/9))\/a*a\/(a*a**(3\/2)) assuming a is positive.\nAnswer: a**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.0336149  (b) -4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1488, 1490, 1492, 1494?\n\"Answer: 2*j + 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 407108 in increasing order.\nAnswer: -5, 4, 407108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45 - -48. Let b(v) = -213*v**2 + 27*v - 68. Let x be b(q). What is x rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*j**6*u - 842*j**5*u**3 - 38*j**2*u - 52*j*u**3 wrt j?\nAnswer: 1680*j**3*u - 50520*j**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -882, -6701, -22506, -53295, -104066, -179817, -285546, -426251?\n\"Answer: -833*m**3 + 5*m**2 - 3*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/43355708 and -59\/7882856.\nAnswer: 86711416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 9*v**3 + v**2 - v + 1. Let k be f(1). Suppose 6*b + 43 - 9 = 23*b. Put k, b, 3, -4 in ascending order.\nAnswer: -4, b, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ziiziezizeigii. What is prob of sequence iezz?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 224149994 = 3*c, -43773036 = -i + c + 1056966. What is i rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-213)\/(-18) - ((-268)\/24 - -11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {r: 1, a: 10, i: 2, s: 2, l: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*y - y + 3*y)*(-16*y - 63*y + 21*y - 44*y) as u*y + a + n*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 420 and 910.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p = -390 + 345 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 97 - 94. Sort n, 1, 7.\nAnswer: 1, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooz when three letters picked without replacement from zzzzzqzzqzoqqo.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d - 40 = 4*f, -d = 232*f - 228*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 26 = 3*p, 0*l = 3*p + 4*l + 14. Let d = -7 + 8. Solve d = -p*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) 0.5  (b) 26.5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 - -23. Suppose 4*b - 4 = 5*t, -2*b + 5 = 3*b + 5*t. Let f = n - b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2 - h + 3*h - h. Let f be w(2). Let v(b) = b**3 - 7*b**2 + b - 2. Let j be v(7). Solve -5*y + j*m - 13 = -3, y = f*m + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2454 and 5129538.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1876, 3735, 5594, 7453?\nAnswer: 9312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*q - 5*q + 18, -q + 3*f = 14. Let l(h) = 6*h - 3. Suppose -3*x = 7 + 2. Let o(n) = -5*n + 2. Let t(y) = x*l(y) - 4*o(y). What is t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2617138.1 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 4002616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o - 199 = -283. Let y be (-6)\/5*(-15)\/3. Let g be 2\/y + 2\/4. Sort o, -5, g in increasing order.\nAnswer: -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -8. Let i be 1*-1 + 2\/a. What is the second biggest value in 0.3, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1\/6))\/(d**(-5)\/d*d)*d**12*d*d*d\/((d**(-13)\/d)\/d*d) assuming d is positive.\nAnswer: d**(209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 348*m**4 - m**2 - 580 wrt m.\nAnswer: 8352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1213649.\nAnswer: 103, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20844*s**2 - 117173*s**2 + 13201*s**2.\nAnswer: -124816*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-108) + 70\/72\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2390 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2513 + -20143\/8. What is the common denominator of -42\/11 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, s: 5, m: 1, e: 2, q: 6, y: 5}. Give prob of sequence yes.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5991077551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((30\/(-36))\/((-10)\/9))\/((-1554)\/2960)*7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - 10\/3 - 11\/(-6). Let d(z) be the second derivative of 0 - 2*z**2 + z + g*z**3 - 1\/12*z**4. Determine d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*l - 1 = -2, 2*i = -3*l + 13. Let t be i + (-2)\/((-5529)\/5531 - -1). Let g = t + 9680. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*o**4 - 3877192*o**2 + 35398985*o - 1 wrt o.\nAnswer: 24*o**2 - 7754384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19\/20 + 571\/580. Is 1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*s - 15*s + 225. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gpgmqqgkjqggjjm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24\/28*(-7)\/1. Let n = 10 + s. Suppose -2*i + 40 = n*g + 14, 5*i = 3*g - 13. Calculate the smallest common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mcmmmmmmmmmm. What is prob of sequence cm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/6)\/(((-25)\/10)\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 times 16?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - (-3 - (-15)\/6)) + -1. Sort -0.1, 2, v in descending order.\nAnswer: v, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11051839.18 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 42*n. Let a(p) be the second derivative of -7*p**4\/4 - 178*p + 3. Calculate z(a(x)).\nAnswer: -882*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -803*x**3 + 81*x**2 - 81*x**2.\nAnswer: -803*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 greater than or equal to 4833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.03 + -0.03. What is the closest to 0.1 in 0.5, h, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z**2 + 41*z - 49. Let m be p(9). What is the fourth biggest value in m, -2\/25, 11, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3665729 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 11*o**2 + o + 1. Let n be b(-1). Suppose 3*d - n - 34 = 0. Calculate the remainder when 59 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21752\/1071 + -345\/17. Calculate the common denominator of -131\/1008 and a.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72952 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 9*n - 183. Let q be i(20). Which is bigger: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74786 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, r: 6, v: 3}. Give prob of picking 2 r and 1 v.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 j when three letters picked without replacement from {m: 1, x: 3, y: 1, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = k - 11, -3*t + 295 = -3*k + 292 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -260\/3, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -59*t + 3110. Let p be d(51). Which is bigger: 1001\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 2 + 5)*(-1 - 3 + 2) + 0 - 2 + 1 + (-1 + 1 + 1)*(-3 + 5 + 0) + 12 + 22 - 10)*(21*k - 9*k + 5*k).\nAnswer: 459*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 w, and 2 e when four letters picked without replacement from cewreclfl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 168?  (a) 0  (b) 6  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -5*q**5 + 3*q**4 + 67*q**3 + 21*q**2 - 62*q - 24 = 0?\nAnswer: -3, -1, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-26*h - 7*h - 19*h)*(-3657 + 3657 - 302*h) to the form r + a*h**2 + s*h and give a.\nAnswer: 15704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from kpseiepseetspttskskp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 192004056 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 625.27 in 1, -8\/7, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2944 - 7088?\nAnswer: -9a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/45*(-1)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rxxrdxxdlxxrdxxxudrd. What is prob of picking 1 r and 1 d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -h**5\/210 - h**4\/28 + 6*h**3\/7 + 31*h**2 + 2*h + 1. Let g(z) be the first derivative of c(z). Solve g(j) = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b**(-30)*b)))\/b*(b**43\/b)\/b)\/(b**17)**(-44) assuming b is positive.\nAnswer: b**759","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 18*t - 2. Let b be 4\/18 + (-48)\/(-27). Suppose -2*h + 8 = 5*g - 42, -b*g - 5*h = 1. What is the remainder when i(2) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 3 = y, -4*y = 4*l - 8. Which is the third smallest value?  (a) l  (b) 2\/7  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 3 = -9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 6*b**2 - 7*b + 8. Let x be o(-6). Suppose -32*y - x = -27*y. Let c(p) = p**2 + 9*p + 3. List the prime factors of c(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 54  (b) 0.3  (c) -2\/23  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10013 - -2023012121?\nAnswer: 2023022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(64) - sqrt(64) - (sqrt(64) + sqrt(64)*-2*4))\/(-2*(-1*sqrt(800) - sqrt(800)) - ((sqrt(800) + -1*sqrt(800))*-5 + sqrt(800))).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = q + 26, -3*q + n = 6*n + 23. Let y = -12 - q. Suppose y*h - 2*h - 398 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 0.19, -1\/6 in ascending order.\nAnswer: -1\/6, 0.04, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -64 + 2*c**3 - 7*c - 76 + 266 - 77 as r*c**3 + q + i*c**2 + w*c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -165 - -169. Solve k*r - q = -25, 3*q - 8*q = 2*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 150*q - 62. What are the prime factors of a(9)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38.9, 4\/7, -0.07.\nAnswer: -0.07, 4\/7, 38.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, j: 4}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1582313*n**3 + 4*n - 4*n.\nAnswer: -1582313*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15050 and -121.\nAnswer: -1821050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17129 = 39*b + 6950. Let s = 264 - b. Solve -s*u + 25 = 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g + 17. Let u be b(8). What is the first derivative of -u + 3*v**4 - 5*v**4 - v**4 wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 11:52 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -74\/5  (b) -4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6911411 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 18245  (c) 2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 4*f**2. Let a be n(3). Suppose l + a = -3*k, -4*l = -3*k + 6*k. Solve 3*g = -0*g + l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dl when two letters picked without replacement from vvpppdppdlpdv?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2130910351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10 * -0.1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 2.401463 milligrams?\nAnswer: 2401463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-3)*6\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/60 and -47\/1245.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -5 - ((9 - 4) + -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*p*u**4 + 6*p*u**2 - 324*p*u + 3*p + 18641*u**4 - 4*u wrt u.\nAnswer: 120*p*u + 447384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 152\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 + 101. Suppose -g*b + 66 = -14. Solve -4*v + 5*h + b = -4, 0 = -5*v + 2*h - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(550)\/(sqrt(10) + sqrt(50)\/sqrt(5)))\/(sqrt(22)\/(sqrt(2)*1)) + (-4 + -6*sqrt(55)\/(sqrt(55)\/sqrt(5)))**2 + 4.\nAnswer: 97*sqrt(5)\/2 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59136389 is divided by 1585?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -7831400 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-12 - -2)*0. Let v be 0 - 5 - (-16)\/2. Solve -v*r + r - 10 = w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 64*d**2 + d - 2. Let u(c) = 129*c**2 + c - 4. Determine -3*u(m) + 5*w(m).\nAnswer: -67*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 404.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -109 + 392609?\nAnswer: 392500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -90 - -94. Let m = 14 - 10. Suppose -2*x + 5*a = 8*a - 10, m*x - h = 2*a. Is x < 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 506 - 504 - (14 - 0 - -3) - 6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 158481535487 and -0.064.\nAnswer: 158481535486.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*n + 11*n - 7225 = -303*n. Solve 8*w = -n + 73 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*b - 114*b + 40*b in the form f + p*b and give p.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -12010301 (base 4) to base 11\nAnswer: -1776a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*u + 4*u. Suppose 0 = -4*x + 5*x - 34. Let r be (-6 + 0)*x\/(-6). Solve -4*p - r = -3*h - 6, -h = u*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3*u**2. Let d(l) be the second derivative of -l**4\/12 - 2*l. Determine d(h(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 178 and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - (-236 - -65 - -95)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15929991?\nAnswer: 3, 7, 11, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.06 in -0.1, 96, 5\/3, -0.4, -3\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -73600*k**5 - 435*k**3 + 3285*k - 5456.\nAnswer: -1472000*k**3 - 2610*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.14?  (a) 0.5  (b) 2\/5  (c) -0.2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -7*r**5\/10 - 2*r**4 - 2*r**3\/3 + 1088. Suppose m(z) = 0. What is z?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*r - 3*r = -1, -4*r = 12. What is the third derivative of x**4 + 6*x**4 - 5*x**v - 2*x**2 + 3*x**4 wrt x?\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 325, -42, -15 in decreasing order.\nAnswer: 325, 2, 0, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 1326, -5, 2, 5 in decreasing order.\nAnswer: 1326, 5, 2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 6 - 7, 0 = -3*d - 5*x + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22*((-12)\/60)\/(66\/(-720))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 2:51 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -167, -176, -195, -230, -287?\n\"Answer: -x**3 + x**2 - 5*x - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (10 - -4) + -5 + (-9 + -3 - -4 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 18, -1.68, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-94 - -100 - (3 - (6 - 0))) + (-2 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) 1\/2  (c) 11  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 31 - 31 + 6*y. Calculate the remainder when 22 is divided by z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/(3 + -1 + -1). Let o(n) be the second derivative of n**5\/20 + 2*n**4\/3 - 4*n**3\/3 - 11*n**2\/2 + n. List the prime factors of o(y).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u**3 + 10*u**2 - 8. Let h(j) = j**3 + j**2. Let o(n) = -4*h(n) + t(n). Give o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*j + 36 = 35*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -28*x + 36. Let r(u) = -18*u + 28. Let q(j) = 2*d(j) - 3*r(j). Let n(g) = -g - 1. Give 3*n(k) - q(k).\nAnswer: -k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**4 - 60674554*q**3\/7 + 65739152200886*q**2\/7 + 49639997773662*q + 93913532728020\/7 = 0.\nAnswer: -5, -2\/7, 2166951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/t**15)\/((t*t\/t**(-46))\/t)*(t**(-39))**(12\/5) assuming t is positive.\nAnswer: t**(-768\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 346778.7 millilitres in litres?\nAnswer: 346.7787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvvgvvvv. What is prob of picking 2 v and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, g: 4, n: 11}. Give prob of sequence nng.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 4 = 5*i. Solve 2*c + i*h - 14 = -0*c, 0 = -c + 5*h - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1311079.\nAnswer: 7, 11, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(2923\/(4977\/(-63)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14\/97 - -124\/485. What is the closest to 5 in -4\/3, l, 1\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from qqqxqxkqqxqqxqqqqx.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(28\/210 + (-16)\/(-30)). Suppose -5*l - 2971 = -2*r - 750, o*r - 2*l = 3304. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52600934861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146 + 146 - 21*f**2 + 11*f - 11*f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 24387 and -242.30369.\nAnswer: 24144.69631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31.55 + 40.55. Let l be (-4)\/(-14) - (-48)\/(-84). Which is the smallest value?  (a) k  (b) -0.6  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 11 = -7*y + 3*a, 4*y + 2*a - 10 = 0. What is the fifth smallest value in 0.2, -3\/4, y, 2\/3, -13\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 310*i = -308*i + 795521, -2*q + i + 530346 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 29. Solve -3*d + v = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 116 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - -4*(sqrt(200) - 2*sqrt(200)))**2 + ((sqrt(200) - (2 + sqrt(200) + 1)) + sqrt(200) + sqrt(200))**2.\nAnswer: -120*sqrt(2) + 2609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 139.4578 kilometers?\nAnswer: 139457800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*c + 140*c - 1 = -2*s, 2*c = 2*s + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uhuh when four letters picked without replacement from hhuhhhhu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0161214 to 4 dps.\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.014 in 0.5, 8.6, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 157897 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24498 and 8.\nAnswer: 97992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 13*m - 28. Let q = 46 + -49. Put m, -8, -2, q in increasing order.\nAnswer: -8, m, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -1110321000?\nAnswer: -1110321003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aeebjfv. What is prob of picking 1 b, 1 j, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-987)\/36)\/(-7) + 0. Let g = 13\/4 - x. Let z = 15 - 14. Which is the second smallest value?  (a) 0.1  (b) z  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2494, 2493, 2492, 2491, 2490, 2489?\nAnswer: 2488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(6\/11)*a*a)\/(a\/(a**4*a)))**(-1\/4))**33 assuming a is positive.\nAnswer: a**(-213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -19*h + 23. Let t be k(1). Suppose -t*a = -5*v - 78, 112 = 5*a - 4*v + 10. Calculate the remainder when a is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/8?  (a) -34  (b) -4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 2 - (-70 + 22 + 25)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, t: 1, h: 1, v: 2, r: 1}. Give prob of sequence vp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -22677?\nAnswer: -90708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -607*o - 170 - 4560 = -521*o for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -10. Let v be (6\/2)\/o*-12. Let w(a) = a**2 - 2*a + 2. Is w(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/126240 and 73\/63120.\nAnswer: 126240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 66056\/14055 - -1\/5622. Let h be ((-153)\/(-36))\/(2\/8). Suppose 2*l + 34 = -3*f - 0*f, 3*l - 4*f + h = 0. Calculate the common denominator of l and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4108459288 to the power of 1\/3, to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/95?  (a) 0.1  (b) 5  (c) 6059\/5  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*m + 100 = 3*j, 3*m = 5*j - 135. Let l be (-22 - -7)*(-2 - j\/(-9)). Which is the fourth biggest value?  (a) -2  (b) 5  (c) -0.1  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-3)*(-6)\/(-4). Suppose -5*h = i*c - 26, 0 = -3*h - 2*c + 16. Suppose -3*s = h*l - 22, 2*l - 2 - 14 = -4*s. Which is greater: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x - 1. Let j(i) = 9*i + 7. Let s(t) = -t - 1. Let d(k) = -j(k) - 6*s(k). Calculate 5*d(a) - 7*l(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -73 + 3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - 1397 - 3*h**2 + 224.\nAnswer: -4*h**2 - 1173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -2\/11  (b) 562580  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1320\/10)\/(-11))\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000027525 rounded to 7 dps?\nAnswer: -0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b*b**(-23)))\/((b**(-8\/5)*b)\/b)*(b**(2\/5))**8)**(-43) assuming b is positive.\nAnswer: b**(-5762\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.061 + 35.939. Let v = t + -33. Suppose -4*w + 2 - 10 = 0. Sort v, 1, w.\nAnswer: w, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 3:19 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3 = 8. Calculate the remainder when -4 + 0 - -2 - -32 is divided by s + 12 + -1 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68 - -68. Let b = 202\/7 + -5732\/203. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 42 + -34. Suppose -4*t + 4*x + p = 0, -t - x = 3*t - 8. Suppose 1031 = 5*f + t*n + 2*n, -2*n + 8 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-180)*168\/609*11\/33\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 3*i - 462 = 0, -3*y + 575 = 2*y + 5*i. Let m be (-10)\/3*(3 - (-90)\/(-5)). Let s = 74 - m. What is the remainder when y is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31941853 is divided by 658.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31 - -21. Let c(u) = -57*u**2 + 12*u + 68*u**2 - 5 + 28 + u**3. Does 2 divide c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2. Let x(d) = 4794*d**2 - 11*d + 77. Let j(z) = -959*z**2 + 2*z - 14. Let a(f) = 11*j(f) + 2*x(f). What is a(k(p))?\nAnswer: -8649*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*d + 4781 = -3439 - 5760 + 2979 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 4:18 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 3*o - 36 = -3*w, -16 = 4*w. Suppose 4*y = -o*y + 1600. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 8*d + 15. Let s = -2 - -4. Calculate the remainder when d is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1487 - -1483. Which is the fourth smallest value?  (a) x  (b) -1.67  (c) 1  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -360*f + 1. Let d(n) = -6*n**2. Give l(d(a)).\nAnswer: 2160*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 d when three letters picked without replacement from {d: 2, x: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12543472727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in 0.05, -102, 0, 0.3, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1341.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*k + 219 = 259 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -13580 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(8\/3 - 3). Suppose 0 = 6*h - 3*h - f. What is the second derivative of -3*w**h + w**2 + 2*w**2 + w**2 + w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9459, -9457, -9453, -9447, -9439, -9429?\n\"Answer: q**2 - q - 9459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2 + 288*s.\nAnswer: 3*s*(s + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 + -43484.8.\nAnswer: -43484.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 0*s**2 + 0 - 1\/12*s**4 + s - 1\/9*s**3 - 1\/60*s**5. Determine k, given that a(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*s**5 - 22012*s**4 - 5*s**3 - 17008967*s**2?\nAnswer: 420*s**2 - 528288*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/102 and 31\/4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6*(2\/3 + 0). Let m(p) be the third derivative of p**6\/120 - p**5\/15 + p**4\/24 - 3*p**2. Determine m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 6:49 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1308*i - 1137*i = 4617 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 578378.8g?\nAnswer: 578378800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of -2*p**3\/3 - p**2 + 7*p + 2224. Give q(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + b - 4. Let x be z(-5). Let o be ((-8)\/18)\/(6\/450). Which is greater: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4881647 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1202737, 2405460, 3608185, 4810912, 6013641, 7216372?\n\"Answer: d**2 + 1202720*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-152)\/(-22))\/(-1) + -29 + (35 - -1).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/2 + -3 + 1. Let x = 2.4 - 2.5. Let l = -950.5 + 951. Which is the closest to x?  (a) t  (b) l  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/40)\/((-66)\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d + 57. Let n be i(17). Let y = n - 42. Put y, -1, 4 in descending order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**3\/5 + 208*n**2\/5 - 4333*n\/5 - 908 = 0.\nAnswer: -227, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -5*t + 337. Let d = -7 - 45. Let b = d + t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1470  (b) 0.47  (c) 5  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -1. Let n(h) = h**3 + 7*h**2 + 4*h + 24. Let j be n(-7). Let p = j - -11. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 23bd3?\nAnswer: 23bd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 71*r - 895. List the prime factors of y(96).\nAnswer: 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 747910294\/6629 - 112824. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**5 + 179376*o**4 - 31865560*o**3.\nAnswer: -2*o**3*(o - 89510)*(o - 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 2*i - k = 32453, 32463 = 2*i + k. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -86 - -75 - -95 - (-1 + 1 + 3)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -164 + 17 + (35 - -7 - 17)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) -0.5  (c) -0.3  (d) 4  (e) -1\/4  (f) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + 2*sqrt(68)\/sqrt(4) - (sqrt(1377)*-2 + sqrt(17)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-6)*(-20)\/15\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jfh when three letters picked without replacement from jfh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-15) - 26\/10. Let m be -10*2\/8*-4. Let o = 8 - m. Sort 4, n, o in descending order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 64*t + 80 = 74*t, -3*l - 18 = -t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*l*s**3 - l*s**2 - 3*l + 58391*s**3 + 1744275*s**2 wrt s.\nAnswer: -180*l + 350346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**5\/12 - 5*g**4\/12 - 87*g**2\/2 - 145*g. Let b(i) be the first derivative of j(i). Factor b(k).\nAnswer: -5*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d - -1138?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 13819 divided by -25786?\nAnswer: -13819\/25786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -280 (base 14) to base 15\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35266087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 + -1 - 3 - 10. Let b be (-33)\/u + (-2)\/3. Find the third derivative of v**4 + 3*v**4 + v**2 - b*v**2 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 3, -5, -11, -71 in increasing order.\nAnswer: -71, -11, -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -259 + 259. What is the nearest to j in 0.2, 3\/2, 3\/5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 17*u + 16 = 0, 3*h - 75352*u + 75351*u - 29 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*12 - ((-3148269)\/25665 + 99) - (-8)\/20.\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -892517 - -1\nAnswer: -892516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3542  (b) 0.7  (c) 3  (d) 6  (e) -5  (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15711 - -17583. Does 48 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, u: 2, p: 1, a: 1}. What is prob of picking 1 p, 2 u, and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 divided by 2073369?\nAnswer: -9\/691123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -40 and 16.4087?\nAnswer: -656.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, -59, -1\/4, 0.04 in increasing order.\nAnswer: -59, -1\/4, -0.04, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 - -65?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 65939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7053196 divided by -18.\nAnswer: -3526598\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44 + (1 - 3) - (-2778 - -2781)) + -6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4297*z**3 - 6374 wrt z?\nAnswer: 12891*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*n = -76. Suppose -10 = -4*v - 2*i, 15 = -2*i - i. Suppose 0 = -k - v*r + n, 3*r = 2*r. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*i + 8*i + 51*i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11666 + 4370. What is the hundreds digit of 6\/(-14) - w\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88\/(-99)*(30\/(-4))\/(-5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3998, 8281, 12882, 17807, 23062, 28653, 34586?\n\"Answer: t**3 + 153*t**2 + 3817*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(84) - (1*sqrt(84)*1 - sqrt(84))) + sqrt(84))*5)\/(-5*sqrt(108)*3).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 725*n + 1051*n - 595*n + 16534 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*r + 30*r = 4*m + 15, -2*r + 18 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 75\/31649 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (7 - (-90)\/(-12))*-130*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccccyycccyeyyccce. Give prob of sequence ycce.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*x + 11 = -6*x, 4*x = -2*z - 10. Let g = 1 + -2. Which is the nearest to g?  (a) -0.3  (b) z  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/6*-4 - 15. Let l be o - -10 - 3*1. Which is smaller: -7 or l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b**3 - 269*b**2 + 734 with respect to b.\nAnswer: -3*b**2 - 538*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/(-728)*91)\/(35\/530).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3360 divided by -8?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of 7*v**4\/24 - 3*v**3\/2 + v**2. Let p = 172 + -177. Let t(d) = 8 + 2*d + 4*d - 16. Calculate p*x(h) + 6*t(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23759*i = 23738*i - 42 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -r**6\/36 + 17*r**5\/30 - 5*r**4\/3 - 50*r**3\/3 + 11895. Factor g(h).\nAnswer: -h**2*(h - 10)**2*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 60*j**3 + 3*j**2 - 4*j + 3. Let n(q) = q**3 + 13*q**2 - q - 13. Let h be n(-13). Suppose b - 2 = -h*b. Is x(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43 - a + 45 - 36*a)*(-4 + 3 - 2).\nAnswer: 111*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 6. Suppose -1 = -m*q - 3. Let l(p) = 25*p**2 + 1. Is 13 a factor of l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.5, 1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 66862595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -13 + 5*s + 2*s + 7*s - 5*s + 12. Let a(z) = z**3 + 8*z**2 - z - 7. Let v be a(-8). Calculate f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30929?\nAnswer: 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((-12)\/21)\/((-48)\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**4 - 2*u**3 + 3448*u**2 - 101315*u?\nAnswer: 12*u**2 - 12*u + 6896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucuuccuuccuuccuucc. Give prob of sequence cc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of 23*k**6\/120 + k**4\/8 + 343*k**3\/6 - 187*k**2 + 6*k. Differentiate c(t) wrt t.\nAnswer: 69*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 2*u - 8642, 2*u - 8638 = 22*h - 26*h. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3344 divided by -26\nAnswer: 1672\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1111 + 2?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -47*p - 779. What are the prime factors of w(-51)?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 - 2 - (38 - (-26 + 81)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j + 22. Let l be x(16). Let p = 26 + -13. Suppose -l*f - 637 = -p*f. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*g - 2*g + g)*(-1 + 1 + 1)*(4 - 4 + 3*g) - 125*g**2 + 48*g**2 - 145*g**2 as m + o*g**2 + z*g and give o.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -105 (base 6) to base 3\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2\/11, 322, 1238.3, -0.1 in descending order.\nAnswer: 1238.3, 322, 0.3, 2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-4)*2 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13 + -25617443.\nAnswer: -25617456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-854*q**5 - 742*q**5 + 544*q**5 - q)*(3 + 0 - 1).\nAnswer: -2104*q**5 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*q - 24*q**2 - 30*q + 20*q - 6*q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (106*b**2 - 8*b**2 + 12*b**2)*(2 - 5 + 1) + 2 - 2 + 3*b**2 to z + a*b**2 + p*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96 and 12216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.15, 0, 15, -6 in ascending order.\nAnswer: -6, -0.15, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 521398 is divided by 2219.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -95. Let y = o + 62.5. Sort -0.4, 5, y, 3\/2.\nAnswer: y, -0.4, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(11\/6)*w*w)\/(w*w**(-1\/11))*(w**(3\/7))**(1\/13) assuming w is positive.\nAnswer: w**(17761\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p + 12. Let s be z(9). Suppose 2*f = s*c - 22, 2*f - 5*f = -5*c + 36. Solve -5*i + i - 29 = 5*a, 0 = i + a + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31cb5 (base 13) in base 11?\nAnswer: 6172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 55. Suppose -2*z + z - 5*c = 9, -3*z = 4*c - g. Solve 0 = 4*m + 3*d + z, -8 = 2*m - d - d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25889919719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -h + 108. Suppose 0 = 5*m + 1 - h. Find the third derivative of -z**5 + 5*z**2 - 8*z**2 + m*z**2 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 4*b + 23 = 0, -3*b = -4*k - 6*b + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 + l + 2. Let b(u) = 9*u**2 + 5*u + 14. Let o(s) = -b(s) + 4*w(s). Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74 + 82. Suppose g*i = 159 + 313. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/12 + (-48)\/(-9) + 0. Solve 0*b = p*u - 3*b - 7, 2*u - 14 = 4*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 9*j**2 + 8*j + 3. Let z be d(-8). Solve -4*o - 6*l = -2*l + 16, 14 = -o - z*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -22225, -44575, -66925?\n\"Answer: -22350*j + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003206601 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hsy when three letters picked without replacement from hshhshsshhhsyhhhh.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -514 = -3*h - 4*y - 92, -y - 274 = -2*h. Calculate the highest common factor of 69 and h.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3537490 divided by 5?\nAnswer: -707498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**2 + 5*z**2 - 8*z**2 - 3 + 2*z + (2*z + z - 4*z)*(-2 - 2*z + 2).\nAnswer: -z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 50, 74?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - -11. Let j be (26 - -1)*14\/c. Put -4, 0, j, -9 in decreasing order.\nAnswer: j, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a\/(((((a*a**3)\/a)\/a)\/a)\/a*a))\/a*(a*a**0)\/a*a)**(-4\/31))**(6\/31) assuming a is positive.\nAnswer: a**(-24\/961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11221220 (base 3) in base 4?\nAnswer: 320133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*h - g, -2*g = 4*h - 6*h + 14. Let s be (34\/12 - 3)*h. Let i = -0.2 - -0.6. What is the third smallest value in 1\/5, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 224495 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/139956 and 59\/1236.\nAnswer: 14415468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -180\/660113 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4. Let v(h) = h**2 + 17. Let y(z) = -6*z - 4. Let k be y(-4). Let o be (k\/(-6))\/(2\/(-15)). Let s = -16 + o. Calculate s*p(a) + 2*v(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 316\/10191*86*(-3)\/(-34).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.86143 - -0.00043. Let n = o + 0.061. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 6. Let d be (20\/(-8))\/(u\/4). Which is greater: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, 49, -2\/7, 4, 1\/3 in increasing order.\nAnswer: -1.1, -2\/7, 1\/3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 9) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/6 + 165*q**2 - 351679*q\/6 + 174350.\nAnswer: (q - 275)*(q - 3)*(q + 1268)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2175.1395 months in decades?\nAnswer: 18.1261625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*k + 52*k + 57*k - 196*k + 36*k - 387*k**2.\nAnswer: -387*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 895674.\nAnswer: 2, 3, 13, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134005 + 134469 = 16*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/3))**0\/((x\/x**2)\/(x*x**3\/x)) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1515479453.\nAnswer: 23, 65890411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (-16 + 50 + -11) - (-11 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.93792 centimeters in nanometers?\nAnswer: 659379200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/9*-3 + 2. Let u = -23 + 18. Let q = 0 - 1\/3. What is the nearest to q in 4, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 0 + 2\/3*l**2 + 2\/3*l - 1\/2*l**3 + 1\/6*l**5 - 1\/3*l**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-5)\/b**(-15) assuming b is positive.\nAnswer: b**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16115519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 9*a**2 + 15*a - 6. What is l(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 199 - 193. Let n(o) = -4*o + 5. Let g be n(-4). Solve m = 3*v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q + 5*q + 4*q)*(-2 - 5 - 8)*(-2 + 1 + 2)*(2 - q - 1 + 3*q) in the form x*q**2 + k*q + h and give k.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 1, 2\/9, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2207 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 14376750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1118 + -1117.6. Put -48\/13, 2, p in descending order.\nAnswer: 2, p, -48\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 596 = 21*l + u + 509, -17*l + 4 = -13*l - 4*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 0, 5, 6, -3, -28, -75?\n\"Answer: -l**3 + 4*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1775693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 3:41 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 21*a**3 + a**2 - 6*a - 2. Let g be 1\/(-1 - 12\/(-9)). Let o be x(g). Let h = o + -263. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1905 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 36*u**2 + 130*u - 120. Give s(32).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -4)*1\/3. Let w(j) = 4*j. Let h(r) = -r**2 - r. Let x(z) = m*w(z) + 4*h(z). Let u(k) = -2*k. Give x(u(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 8*a**2 - 11. Suppose 5*g - 11 = 29. Let b be y(g). Let u = -4 - b. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11424 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2093 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -2001202020?\nAnswer: 2001202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(209) - 1*sqrt(209)) + sqrt(209)))\/(sqrt(121)\/sqrt(44)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/16956 and 1\/280.\nAnswer: 1186920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 45 = 35*c - 30*c, 5*z - 2*c = 18. Suppose -4 = -p + 2. What is the closest to z in p, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 5 = -4*g - 70, 2*g + 65 = 5*y. Suppose y*s - 81457 = 161643. What is s rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*h**2 - 3 + 3 + h**2 + h - h + (h - 1 + 1)*(-h + 2*h + h))*(-2 + 3 + 3) + (h + 0*h + h)*(4*h + 2*h - 5*h) as y*h**2 + z + j*h and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -491177 and -2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -a**3\/3 - a - 2. Let h(j) = -j + 3. Let l be h(1). Calculate v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a + 5*a**2 + 2 - 14*a**2 + a**2 + 2*a**3 + 6*a**2 to c + n*a**2 + v*a**3 + x*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6149340?\nAnswer: 2, 3, 5, 127, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f**2 - f - 1. Let t = 7 + -2. Suppose 3*g + 6 = -4*u - t, -5*g = 3*u + 11. Determine n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = u - 7. Suppose -3*r = -u*r + 8. Put r, -3, -2 in descending order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*v**3 - 39*v**3 + 69*v**3 - 36*v**3.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 18*t**4 + 150*t**3 + 171*t**2 - 57*t. Let x(f) = -37*f**4 - 297*f**3 - 341*f**2 + 115*f. Let q(v) = -5*b(v) - 3*x(v). Factor q(w).\nAnswer: 3*w*(w + 2)*(w + 5)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16278 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -180, -705, -1582, -2811, -4392, -6325?\n\"Answer: -176*t**2 + 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 20\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -305 by 5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 92480 divided by -1156?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (114\/(-152)*(0 + 1))\/((-313)\/(-18780))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 33388\/20 + (-6)\/(-10). Round b to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.6 - -0.4. Let v(n) = -n**2 - 327*n - 5561. Let b be v(-18). What is the nearest to d in b, -5\/3, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-1))\/((3\/(-2))\/(184\/(2300\/(-50))))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 16*q - 38*q + 20*q. Suppose 1 = -5*r + 3*s + 4, 2*s + 2 = -r. Let k(a) = r*a + 0*a - 2*a**2. Determine k(i(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of q*z**3 + 143*q + 4*z**3 wrt z.\nAnswer: 3*q*z**2 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 10:52 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 14*y**2 + y + 1. Let i(b) = 6*b**2 + 17*b. Let m(u) = 11*u**2 + 36*u. Let z(q) = 17*i(q) - 8*m(q). What is 2*o(j) - 3*z(j)?\nAnswer: -14*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -15  (c) 0  (d) -1\/25  (e) -12\/109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**25*w)**(3\/16) assuming w is positive.\nAnswer: w**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 10*v**2 + 23*v - 12. Let d be a(8). Let q be (-6)\/d*(-2)\/(-3). Is q greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - 2)*(1 + 32). Suppose x - 89 = -7*k. Let o = 8 + -5. Solve k = o*g - 4, -2*g + 3 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*u + 24. Suppose 2*n + 4*v - 12 = 0, 3*n + u*v = -0*v + 16. Find the third derivative of -w**3 - 4*w**n - 101*w + 101*w - 7*w**3 wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(0 + 0 - 3)*(-1 + 1 + o) + (4 - 1 - 4)*(-4 + 2*o + 4).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**3\/7 + 227*h**2\/7 - 1824*h - 12996\/7 = 0.\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*v**2 - 3*v**2 - 3*v**2)*(-7043 - 2*v - 6729 + 13208).\nAnswer: -2*v**3 - 564*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0*l = 0. Suppose -k = -h - 24, 62 = 3*k - l*h + 2*h. Calculate the greatest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -331, -895, -1877, -3271, -5071, -7271?\nAnswer: -9865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -9*z - 26. What is the tens digit of r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*c = -4*f + 175, 5*f + 4*c - 219 = 0. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.68691252 rounded to 3 dps?\nAnswer: -4.687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 256819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/14 and -49\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 14*p**2 - 3. Let o be g(1). Suppose -n = -o*n + 13120. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2*i + 3 + 3 = 0, 6 = 2*i. Suppose z = -17*s - 219 + 1001. What is the remainder when 180 is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 5*g = -79, -2408*w - 2*g = -2401*w - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*a**3 + 2*a**2 - 349*a wrt a?\nAnswer: -342*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3239529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v - 6. Let z be q(-4). Let s(i) = -i**3 + i**3 - i**3 + 4*i**z. Determine s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 186.9145173s?\nAnswer: 0.00030905178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**5 - 27\/5*h**3 + 39\/5*h**4 + 0 - 3\/5*h**2 + 6\/5*h = 0. Calculate h.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a. Let v(m) = -6*m - 15. Let j(b) = b + 2. Let y(x) = -15*j(x) - 2*v(x). Let n(g) = 8*g. Let p(h) = -4*n(h) - 11*y(h). Calculate p(u(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -23*o + 214. Let b be x(-16). Suppose -c + 2*a = -580, 0 = -0*c + 4*c - 5*a - 2323. Factor -b*j + c*j + 2 - 2*j**2.\nAnswer: -2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b + 518 = -522 + 1024 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**2 - 3*b + 3*b)*(3*b + 3*b - 7*b) - 9*b**3 + 5*b**3 + 12*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -152, -284, -416, -548?\n\"Answer: -132*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-21)\/30 - 1\/(-2). Let w = 2774249\/6 - 462375. Put w, p, 2\/5 in descending order.\nAnswer: 2\/5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*(h**(-11\/3)*h)\/h*h)**35)**37 assuming h is positive.\nAnswer: h**(-2590\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1582.74837s to weeks.\nAnswer: 0.002616978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n - 3*n - 9*n - 12*n - 10. Let i be r(-5). What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 14. Let h be f(-6). Suppose h - 68 = -3*z - 3*m, -2*m + 59 = 3*z. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*g**3*o**2 - 8*g**3*o*s - 52*g**2*o**2*s - g*o**2*s + 24*o*s wrt o.\nAnswer: 14*g**3 - 104*g**2*s - 2*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1011895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15975*j**4 + 41*j**2 - 8561014.\nAnswer: 63900*j**3 + 82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/9  (b) 5  (c) -0.06  (d) -4.02  (e) 0.15  (f) 1  (g) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13005515 + 1?\nAnswer: -13005514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -85870 rounded to the nearest 1000?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 5:32 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3413 (base 5) in base 13?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1690 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 - 7*v**2 - 5*v**2 + 3*v**2. Let z(y) = -2*y + 2. Let o be z(0). Let j(l) = 0 + o*l + 0. What is d(j(x))?\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 13 + 0 = -j, -2*j = -4*y - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 3*q**3\/7 + 33*q**2 + 3516*q\/7 - 5280 = 0?\nAnswer: -44, -40, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 0.3  (c) -1512\/13  (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3820 by -5.\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -390*r**5 - 373986*r**4 + 297112434*r**2.\nAnswer: -23400*r**2 - 8975664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*d + d**2 + 14*d + 34*d + 2 to the form p*d**2 + z + i*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10260268?\nAnswer: 2, 2565067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-84)*1)\/((-170)\/(-35))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5220 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1459 + 2689*z + 1000*z - 1559*z wrt z.\nAnswer: 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -l**6\/120 - 7*l**4\/24 + 4*l**3\/3 - 6. Let w(g) be the third derivative of c(g). Differentiate w(y) with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {p: 4, x: 3, c: 2, y: 2}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/183 and -31\/18.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/23 + (-992)\/2944?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -39 - 1191?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-4)\/(6\/(-3))). Suppose p - 19 = 3*t, -3*t + 2*p + 2 - 25 = i. Let j = t + 72. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 8*a**2 - 4*a. Let j(y) = y**2 + 2*y. Let r(o) = -d(o) - 2*j(o). Let w(u) = 211*u**2 - 103*u**2 - 103*u**2. Calculate r(w(g)).\nAnswer: -250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 3*k + 3*k)*(2*k + 2*k**2 - 4*k + 3*k).\nAnswer: 8*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5ba7 (base 14) to base 5.\nAnswer: -1003043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -9. Let a = -778 + 764. Let f = w + a. Calculate the remainder when 23 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(504) + -2*sqrt(504))\/sqrt(12))\/((sqrt(60)\/sqrt(2))\/sqrt(5)) + (((sqrt(343)*-1 - sqrt(343)) + sqrt(343) + sqrt(343))*5 + -3)**2 + 0.\nAnswer: -sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 2, -3*t = -4*n + 8 - 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 63 = -33*y - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 284451 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -629 - -1313. Calculate the greatest common factor of 76 and x.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 6:56 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + 3. What is the highest common divisor of 176 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.02, 4, 2\/75, -5, 184.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b + 9. Let i be v(-6). Let g(t) = -t**3 - t + 30. Let k be g(0). Suppose 3*f = f + 10. Solve -r = f*h - k + i, h = -r + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.62 - -1.22. Sort l, 11, 0.01 in ascending order.\nAnswer: l, 0.01, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 6*w - 7. Let f(v) = 6*v - 7. Let t(x) = 3*f(x) - 4*y(x). Let h(r) = -5*r + 6. Calculate 5*h(n) - 4*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1*sqrt(704) - (-1 + sqrt(704) + 2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5468*w - 7100. Calculate n(-2).\nAnswer: 3836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8595354 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2953 and -4342.\nAnswer: 12821926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + -2. Let g(o) = o**3 + 4*o**2. Let y be g(-4). Suppose x - 5 = -6. Sort y, x, t in decreasing order.\nAnswer: y, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 81.4, 172, -2\/5.\nAnswer: -2\/5, 2, 81.4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.1 - -7.9. Let u = s - 9.032. Round u to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2*sqrt(21)\/sqrt(3) - (sqrt(7) - sqrt(28)\/sqrt(4)*-2)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2 - 1 = 0. Suppose -7*i = -3*i - f*r + 11, 5*r = -3*i + 28. Let l(t) = -i - t - 5 + 1. Calculate l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/111))**(2\/139)*(j**(-28))**(2\/101) assuming j is positive.\nAnswer: j**(-863620\/1558329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -267*-0.2\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43976*c**3 + 118344*c**2 wrt c?\nAnswer: -263856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (12\/(-18))\/(1\/(-3)). Suppose -3*w = -4*l + 130, -3*w = -l + z*l - 40. Let a = 74 - -25. What is the remainder when a is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 4*g - 102 + 66, 0 = 4*i - 4*g - 4. Let y(x) be the first derivative of i*x**2 + 5*x + 5\/3*x**3 + 12. Factor y(u).\nAnswer: 5*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11217 + -11212. Let s(o) be the first derivative of 0*o**2 - 5\/2*o**6 + 20\/3*o**3 - 7*o**g + 0*o + 0*o**4 + 13. Find v, given that s(v) = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 + 90 = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12926150 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 4. Let h = 4 + j. What is the third derivative of -4*u**4 + 4*u**4 - 3*u**4 - 4*u**h + u**2 wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**14\/h)**9 assuming h is positive.\nAnswer: h**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4*s = -60. Suppose -2*d - 100 = -4*d. Let p be ((-4)\/d)\/((-1)\/5). Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -40074*k**2 + 2017 wrt k.\nAnswer: -80148*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 67*c + 0 + 0. Let q(t) be the first derivative of 2*t**3\/3 - 14908. Give q(r(d)).\nAnswer: 8978*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*u - 144 = 66. Let p(y) = 4*y - 4. Let l(d) = 3*d - 14. Let c(v) = v - 7. Let s(w) = 11*c(w) - 6*l(w). Calculate u*p(z) - 6*s(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -0.4, -0.11 in descending order.\nAnswer: -0.11, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 144*z**2 - 73*z - 10. Let s(a) = -28*a**2 + 15*a + 2. Give 6*b(u) + 31*s(u).\nAnswer: -4*u**2 + 27*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h + 2*h + 0*h + (-1 + 1 - 2)*(-2*h + 0*h + 5*h) - 2*h + h + 4*h + 1 + h - 1 + (-2 - 1 + 5)*(-5*h + 3*h + h) + (4*h + 3*h + 0*h)*(-7 + 11 - 29).\nAnswer: -181*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 358.5091 centuries?\nAnswer: 35850.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 33754 - 8437 - j - 8439 - 8442 - 8437. Let d(y) = 2*y**2 - 8*y - 10. Give d(f) - 12*p(f).\nAnswer: 2*f**2 + 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25618.\nAnswer: 2, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6\/5*(-30)\/(-4) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1172 - 1168. Let y(p) be the first derivative of 0*p**4 - 2\/3*p**6 + 8 + 0*p**5 - b*p**3 + 0*p + 0*p**2. Find the third derivative of y(v) wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 6*l**2 + 15*l - 73. Let d be x(6). Suppose 0 = -d*z + 314 + 145. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60 + 60 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is the greatest common divisor of 2872 and 95696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005615213389 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24336 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/12 and -83\/20038.\nAnswer: 120228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 18, 44, 94, 180, 314, 508, 774?\n\"Answer: 2*m**3 + 12*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 4*t = -3*q + 14, 5*t + 34 = 4*q. Let z(m) = -145873*m + 72947*m + 72925*m - 3 + 1. Calculate z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - -29)*(-3)\/(-1). Suppose 5*o = 5*r - 35, -2*o + 2 = 2*r + 4. Let h be (-4)\/r*((-61)\/4 - 8). Calculate the highest common divisor of n and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 4:45 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -7*u**2 - 4*u + 5. Let b(c) = c**2 - c - 1. What is -6*b(w) - r(w)?\nAnswer: w**2 + 10*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 27134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**6\/84 - 2*f**5\/35 + f**4\/21 - f**2 - 3*f. Let o(y) be the first derivative of w(y). Factor o(b).\nAnswer: 2*b*(b - 2)*(5*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/5915 and 49\/34645.\nAnswer: 242515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37 * -0.070459.\nAnswer: 2.606983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 66*l**2 + 3*l. Let m(i) = 486 - 2*i**2 - 226 - 3*i**2 - 260. Calculate n(m(o)).\nAnswer: 1650*o**4 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/(-3) - 0)\/(1600\/7200). Let h(p) = p**3 + 4*p**2 + 7*p + 1. Let u(q) = -2*q**3 - 9*q**2 - 14*q - 3. Let l(a) = 5*h(a) + 3*u(a). Determine l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -66.9\nAnswer: 64.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/2 + -4. Suppose 2*o + 4*a = o + 11, -5*o = 5*a - 25. Let p be o\/9 + (-60)\/126. What is the second biggest value in p, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3275, 5477, 7679, 9881?\nAnswer: 12083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 109138792 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k**2 + k - 1. Let q be a(1). Suppose -4*y = 17 - 1. Let u = 16 + y. What is the greatest common divisor of q and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.3  (b) 1\/66  (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-16 - -15 - (5 + -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 1:23 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -533 or -537?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15)\/20 + 51\/(-12). Let o be 4\/(-14) - 47\/7. Is o != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(-8))\/(33\/(-44)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1\/(3\/(480\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -5*b + 8. Let q be (-1 - (-60)\/(-8))\/(4\/8). Let z(a) = -14*a + 23. Determine q*k(i) + 6*z(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 240\/13, 45, 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*y - y + 5*y)*(0 - 3 + 1) - 6*y + 7*y + 7*y)*(3*y + 5 - 5)*(0*y**3 + 0*y**3 - 2*y**3).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u + 1. Let v(m) = 2*m - 6. Let r = 725 - 726. Determine r*v(d) - 3*l(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -378 - -387. Let j(u) = 4*u**3 + 35*u**2 + 13*u + 29. Let h(k) = k**3 + 9*k**2 + 3*k + 8. Let s(v) = n*h(v) - 2*j(v). What is s(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 + 4*u + 34. Let v be t(-3). Solve v*s - 19 = -5*a, 0 = -s - 3*a - 1 + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*x**2 + 0*x**2 - 9*x**2)*(3 - 1 - 4) + 64*x - 64*x + 28*x**2 as s*x + b + k*x**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 285254 and 24125.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/(-6)*-1)\/(-1*1500\/1605) and -81\/500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 283562 by -18.\nAnswer: -141781\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -129 + 256. Suppose 2*k - x - o = 0, 2*x + 32 + 33 = k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0212915707 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 8*w**2 - 6*w - 12. Let z be h(9). Let g = -15 + 75. What is the greatest common divisor of z and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/6)\/(3\/(9\/(-2))). Which is the closest to j?  (a) -3  (b) 2\/17  (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7872 divided by 64?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 64960 - 206561 = -5*t, 0 = 5*t + 2*z - 141589. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(13) - ((-2*sqrt(78))\/sqrt(6))**2)*-4 - 6*1*(4 + -1 + sqrt(13))**2)*3.\nAnswer: -2268 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (10\/260)\/((-5)\/(-65))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((1 - -2)\/(-9))\/(6\/(-276)). Let u(o) be the first derivative of -j*o**3 - 8\/3*o - 10\/3*o**5 - 28\/3*o**2 + 3 - 35\/3*o**4. Factor u(z).\nAnswer: -2*(z + 1)**2*(5*z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/3)\/((-11)\/(-396)). What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12, -158, -538, -1266, -2456, -4222?\nAnswer: -6678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, z: 3}. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 PM and 8:21 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -25*x - 14. Let j be q(-2). Suppose -8*t = t - j. Solve t*h = -9 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 AM and 1:22 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -8. Suppose f*g = -4*g + 140. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 361852*r**4*z**3 + 5*r**2*z + 4*r + 165673722*z**3 with respect to r.\nAnswer: 1447408*r**3*z**3 + 10*r*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-6*(sqrt(209)*-1 - sqrt(209)) - -1*sqrt(209)*1))\/((-3*(sqrt(88)\/sqrt(2) + sqrt(44)))\/(sqrt(144)\/sqrt(4)))*4.\nAnswer: 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -g**6\/120 - g**4\/24 + g**3\/2 + 2*g**2. Let c = -395 + 395. Give n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*c - 14*c - 189*c - 75*c + 54*c.\nAnswer: -196*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 104*y**2 - 677*y - 206. Determine z(97).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {p: 2, q: 2, v: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216, -120, 120, 534, 1152, 2004, 3120?\nAnswer: 4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.445 + 1.555. Let d be -3*3\/(126\/(-4)). Sort o, d, -1\/5, -3\/2 in ascending order.\nAnswer: -3\/2, -1\/5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vvjvvvvvssvvvj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 - 15 - 2412\/(-306). Which is the second biggest value?  (a) 0.03  (b) q  (c) -1\/12  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*a**5 - 79*a**5 + 42*a**5)*((1 - 1 + 2)*(1 - 4 + 2) + 17 + 0 + 6).\nAnswer: -1092*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5*z**2 + 4*z. Let c = 83 - 67. Suppose -8 + c = 2*a. Let y(s) = -3*s**2 + 2*s. Calculate a*o(n) - 7*y(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29*n**4 - 7*n**3 + 1969?\nAnswer: -116*n**3 - 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**4)**(-1\/25) assuming j is positive.\nAnswer: j**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p\/p**3))\/p**(-45) assuming p is positive.\nAnswer: p**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42904675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 203717, 203674, 203653, 203666, 203725, 203842, 204029?\nAnswer: 204298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 - 0)*(-3)\/(18\/16). Which is smaller: 15 or f?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 86 and 946?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16804\/7 - 2396. Are m and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 + (-27)\/(-6))*2. Let t(i) = -j - 3*i - 36*i - 57*i + 8. Is t(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -14071*i**5\/5 + 773*i**2\/2 - 9367. What is the second derivative of q(j) wrt j?\nAnswer: -168852*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3382, -5827, -8272, -10717?\nAnswer: -13162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - d8389?\nAnswer: -d8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5259, 5252, 5245, 5238, 5231?\nAnswer: 5224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 57 - 58)*(2*r - 1 + 1) in the form b*r + f and give b.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*k**2 + 5*k**2 + 2*k**2 - 33*k - k**2 to the form c + f*k + p*k**2 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 0*p + 2*p**2)*(-1 - p + 1) - 9*p**3 + 21*p**3 - p**2 - 5*p**3.\nAnswer: 5*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*f + 2*f. Find the second derivative of -4*k + 0*k + 12 - 10 + 6*k - k**3 + 26*k**f wrt k.\nAnswer: -6*k + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4680)\/(-66) + (-756)\/396.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -6*h**3 + 9*h**2 + 3*h - 8. Let x(f) = 5*f**3 - 8*f**2 - 3*f + 9. Let b(g) = 4*d(g) + 5*x(g). What is the hundreds digit of b(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 92 - -4?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -27*v**3 + 4*v**2 - 3*v + 1. Let u be t(2). Calculate the common denominator of u\/(-20) + (1 - 1) and -32\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q + 69 = -3*s, -450*q = -448*q + 3*s + 27 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 6*j - 1. Let i be 41\/2*2 - -4. Let t(q) = -24 + i - 21 - 5*q. Give -2*g(z) - 3*t(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 19c31a (base 13) in base 16?\nAnswer: 9ff84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + -1 + -3 + 111. What is the highest common factor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-128 - 841*v + 838*v - 7)*(-3 + 2 + 0) to the form h + j*v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -6. Let m be (j - (-12)\/4)*-5. Let d(z) = -z + m*z - z - 4*z. Let h(x) = x. Determine d(h(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 1:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 19 = -5*f + 16, k + 3*f - 21 = 0. What is x in 0 - 3\/7*x**4 + 3\/7*x**3 + 0*x**2 + k*x = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20328 and 42.\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 383310735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 21*y + 2. Let l be n(0). Solve -3*o + 2 = -5*m + o, -m + l = -2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + 4 - ((-7 - 8) + -15)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10 + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23950441 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 24 = -32. Suppose 0 = 8*o - l*o - 145. What are the prime factors of o?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1259 divided by 70670?\nAnswer: -1259\/70670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-6) - 60\/18. Let p(m) = -m**2 - 5*m + 3. Let s be p(-6). Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.21, 5, -96?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, d: 10, x: 2, s: 3}. Give prob of picking 1 d and 1 z.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 1. Let v(u) = u. Let i(j) = 5*j. Let z(s) = 2*i(s) - 9*v(s). Let r(y) = -l(y) + 6*z(y). What is r(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 6:22 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(99)*2 + sqrt(11) + (3*sqrt(132)\/sqrt(12))**2)*1.\nAnswer: 7*sqrt(11) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -39, -17.\nAnswer: -39, -17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (11\/(-55))\/(3\/(-30)). Suppose -34 = -2*l - q*n, -1 - 18 = -2*l - 5*n. Solve i + 13 = -2*y, -3*y - i - i - l = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 3  (c) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x - 8. Let o(h) = 77*h + 372. Let u be o(-5). What is a(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 10*n = -174. What is the units digit of n\/(-116)*296\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*p, 952 = 4*s - 4*p. Let q = s - 234. Suppose 0 = 3*g - 6 - 0. Solve q = g*x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + (-4)\/(-1))*4. Suppose 0*k + 4*k - 4 = 0. Suppose 3*r + k = 7. Solve r*f - i = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0131 rounded to four dps?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.21 and -18.34?\nAnswer: -95.5514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2581791425 and -11335?\nAnswer: 2581802760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 35 - 5. Suppose -h + b = h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2323, 4647, 6971, 9295, 11619, 13943?\nAnswer: 16267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -224\/3 + 74. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1801216*-2.\nAnswer: -3602432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 1:11 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 2*c - 56 = 106, 3*r - 101 = -5*c. Solve -6 = r*l - 38*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 130069872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/4*0*(-4)\/36. Let t(p) = -2*p**3 + 2 + c + 2602*p**2 - 2605*p**2. What is t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1556 - -1593. Calculate the remainder when 49 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 49103?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 954 and 54?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.06 or -5290\/167?\nAnswer: -5290\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6861527 is divided by 58?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(3\/5)\/f)\/f**(-1\/2)*(f\/(f\/((f*f**5*f)\/f)))\/f**(2\/9))\/(((f\/(f*f\/(f**(-1\/4)*f)))\/f*f)**(14\/3)*(f**2)**(2\/67)) assuming f is positive.\nAnswer: f**(21059\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 25) + 22 - -63 - (3 + 0 - 0)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -19 + 0 - (-27 - -5)) + -14 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2392810.1 - -7818.\nAnswer: 2400628.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from {r: 5, b: 2, m: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14970586 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(17) + -1) + (2*sqrt(187))\/sqrt(11) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 - 2. Let z be i(-7). Suppose -y = -5*p + 25, 2 - z = -5*p + 5*y. Let l(x) = 4*x**3 - 5*x**2 - 6*x + 9. Is l(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 14 = 4*d - 3*o, -3*d + 2*o = -9. Let h = 0 + 3. Suppose -5 = 2*s + h*u, 5*u = 4*s - 0*u - 45. Solve 2*b - d = s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.26?  (a) -1\/2  (b) -4  (c) 2  (d) 5  (e) -173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from skp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -40, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-1\/2))\/(u\/(u*u**(-2\/7)\/u))*u*u**(2\/7)*u*u**(2\/5)*(u\/u**(-2\/7)*u*u*u\/(u\/(u**(2\/19)\/u)))\/(((u**(1\/3)\/u)\/u)\/u**4) assuming u is positive.\nAnswer: u**(43721\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 423946831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/26045 and -19\/4443277?\nAnswer: 22216385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*r**2*v + 9*r**2 + r - 139*v wrt r?\nAnswer: -22*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -193, 1, 2, 5 in increasing order.\nAnswer: -193, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -16*l + 4. Let j be c(-4). What is the third derivative of -136*v**5 + j*v**5 - 3*v**6 + 66*v**5 + 5*v**2 wrt v?\nAnswer: -360*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24861809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 0*b**3 - 4 + 40 - b + b**3. Is 6 a factor of h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.0999 from 7.\nAnswer: 5.9001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19447031256517 less than 18?\nAnswer: -19447031256499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at least -685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10742 and 8.\nAnswer: 42968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 170 a factor of 21357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 7*i - 32 = 3*g, 3*g + 8 = -i. Solve -5*n = -5*t + 3*t - 5, 5*t + i*n - 37 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + f - 4*f)*(-4 + 4 + 2*f - 7 + 7 - 8*f + 2*f - 1 + 1 - 2 + 2 - f + (-2 + 2 - 1)*(4*f - f - f)) - 7*f**2 - f**2 - 6*f**2.\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 26410 divided by 5?\nAnswer: 5282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-8)*33)\/((-3)\/232). Suppose -4*b - y = -2562. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1953 - 1955. Let u be (-24)\/40*(-2)\/3. Which is the closest to u?  (a) h  (b) -5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2493088, 46\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111274581.\nAnswer: 3, 11, 79, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -46*g**3. Let p be -8 + 7 - 0\/(-2). Let u be t(p). Suppose -j + u = -3*f, 4*j = 5*j + 5*f - 14. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 6*f - 1. Suppose y = 3*b - y + 5, b - 4*y + 15 = 0. Let w be g(b). Suppose 4*p - 741 = -w*i, -i - 2*i = -3*p - 450. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -502\/5 + 100. Let o = -2.49 + 2.676. Let p = 0.214 + o. Which is the third smallest value?  (a) p  (b) n  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 162514, 162513, 162512, 162511?\n\"Answer: -s + 162515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - -2. What is the nearest to 1\/8 in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 + -662\/17. Let s be (3\/(1 + -4))\/(-1). Are s and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 + 5*x - 14. Let j be p(-6). Let d = -26 + j. Suppose -9*r = -d*r - 21. Solve -r*h = -2*q - 17, -2*q - 3*h + 10 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-4)\/(-28)) - 1. Which is bigger: x or -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 122*a**2. Let k(m) = -m**2 - 40*m - 30. Let o be k(-22). Let b(y) = o*y - 183*y - 183*y + 2*y**2. What is x(b(g))?\nAnswer: 488*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -m**5\/5 - 2*m**4 - 6*m**3 - 8*m**2 - 25*m. Factor f(o).\nAnswer: -4*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lsm when three letters picked without replacement from {s: 7, m: 2, w: 1, l: 2, g: 1, e: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2065*g. Let f(c) = 2809 + 2798 - 8405 + 2798 - 3*c. Calculate f(w(u)).\nAnswer: 6195*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -41 - -25. What is the units digit of 72 + (-24)\/9*12\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154*c + 644*c**2 + 154*c - 82*c**2.\nAnswer: 562*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/108135 and 113\/1638.\nAnswer: 19680570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 1. Let v(m) = 8*m - 17. Let q(k) = v(k) - 4*w(k). Suppose 27*l = 60 + 129. What are the prime factors of q(l)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 6*i. Let z be u(1). Suppose 20 = -g - z*f, 2*g = 6*g + 4*f. Solve 0 = -4*s - n - 12, 0 = 4*s - g*n + 12 - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 15 = 4*o - 43, -6*o = 2*i - 22. Solve -4*n + 2*n + 17 = -3*k, 15 = o*n - 2*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 - 25 + 88 + 10875*y**3 - 30.\nAnswer: 10875*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 27\/15 + 5\/25. Determine d so that 3*d**5 + 13*d**2 - d - 3*d**4 - 3 + 0*d - 4*d**2 - 6*d**3 - 3*d**s + 4*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 75 - 7 = 5*j, -3*o + 52 = 4*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 263335 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 14 = -5*t + 11, -5*d = -2*t + 19. Put t, -5, -4, 0 in ascending order.\nAnswer: -5, -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 540\/(11 + -5)*1\/2. Let j be (q\/(-10) - -5)\/(-1 - 1). Is -14 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-seven quarters of a tonne in kilograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 7 - 1)*(8*g - 4*g - 2 + 2*g).\nAnswer: -102*g + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21289, -8916, 3457, 15830, 28203?\n\"Answer: 12373*c - 33662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 39162 and -5.18?\nAnswer: -202859.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 9, 16, 8 in increasing order.\nAnswer: 3, 8, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c - 207*c + 18*c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**0)**(-6\/31)\/(o**(-8)*o\/(o**(1\/18)*o)))**(-10\/7) assuming o is positive.\nAnswer: o**(-725\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**5 + 4552*i**4 - 2539442*i**3 - 57739692*i**2 - 200339640*i - 190108944 = 0.\nAnswer: -18, -2, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 12:38 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/15)\/(68\/(-66))*(19 + 7072\/(-374)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2202120211121 + 0?\nAnswer: -2202120211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 190227769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 112587 <= 112590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 57\/1776560 or 0?\nAnswer: 57\/1776560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 = 9*v - 361. What is the first derivative of -67 - v*q + 41 - 39*q - 55 wrt q?\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b - 3*b**3 - 5*b + (0*b + b + b)*(2*b**2 + 0*b**2 - 3*b**2) + 0*b**3 - b**3 + 3*b**3 as j*b + x*b**2 + n + a*b**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 20 = -5*o - 0, 5*y + 25 = 0. Suppose -5*s + 35 = 2*b, 0 = -6*b + o*b + 5*s + 15. Suppose 0 = -6*w + b*w + 1280000. Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 53328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/5, -16, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 7*d + 660 = 0. Let k be -13 + 10 - 14\/(-4)*d. Let f = -122 + k. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + -2 + (11114 - -2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, g: 5, t: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**3 + 15*y**2 + 33*y - 40. Let a be z(9). Solve 2*m + a*i - 12 = 19*i, -i - 7 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/5  (b) 2  (c) -3  (d) 23  (e) -4  (f) -38\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.18 - 0.18. Let p = 2 - x. Let i = -4 + p. Sort i, 2, 9 in ascending order.\nAnswer: i, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23738 times 5.65?\nAnswer: -134119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000017297483535 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*b = 6851 - 1263 + 3057. Is b != 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 38712 and -0.07845.\nAnswer: -3036.9564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -7933*j - 30. Let g(p) = 9329200*p + 35275. Let m(s) = -6*g(s) - 7055*y(s). Let r(l) = l**2. Determine m(r(n)).\nAnswer: -7885*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48*y**2 + 136 + 3201*y - 4*y**3 - 784 - 2805*y.\nAnswer: -4*(y - 3)**2*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 285*g + 280*g = -63, -g = -7*k - 19. Suppose 4*t = 3*u - u - 98, u = -2*t + 41. Suppose 10*z - u = 5*z. Put z, -5, k, -2 in ascending order.\nAnswer: -5, -2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2034317.02 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.082 and 8.\nAnswer: 0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 1. Let a(m) be the first derivative of -m**2 + 9*m - 102. Give a(n) - 6*r(n).\nAnswer: 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -99.9 + 100. Let q(l) = -l**3 - 6*l**2 - 4*l + 9. Let j = 124 + -128. Let m be q(j). Which is the third smallest value?  (a) 2  (b) p  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9930319 is divided by 952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*n + 5*k, -5*n + 0*k - 50 = 5*k. Let i be (544\/(-8))\/(2\/n). Suppose -112 + i = 5*w. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.2  (b) 55  (c) -0.4  (d) 0.4  (e) 0.1  (f) -1  (g) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 123808809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 8 = 0, 0 = 5*b + 4*q - 1896 + 519. Calculate the remainder when b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 13, 5 in descending order.\nAnswer: 13, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 26*v**2 - 6. Let o be x(2). Let b = 103 - o. Solve 7 = -b*r - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 - (0 + -13 - 71842) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 4*q - 1. What is the smallest common multiple of w(-5) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -2*j - 22, -5*j - 16 = -8*j - y. Factor j - 9\/4*n - 3\/4*n**2.\nAnswer: -3*(n - 1)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 350631*m - 35. Let y be c(-13). Let d = y + 2158238. What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 32\/12)*123\/2. Let d = -110 - h. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/(-35) - (-83997)\/3843?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000469482 to seven decimal places.\nAnswer: -0.0000469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.007 and -1406.08.\nAnswer: 9.84256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**15*(b**(-2\/7)\/b)\/b*b*(b**(1\/18)*b)\/b**(-6) assuming b is positive.\nAnswer: b**(2617\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 217  (b) 0.2  (c) -1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of 0*z**3 - 5\/6*z**6 + 0*z**5 + z**2 + 0*z**4 + 0*z + 1. What is the second derivative of o(j) wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 22*y = -96. Suppose -14*q = -12*q - y. Suppose -c = 4, 0 = -3*b + 5*b + c + 4. Solve -3*z + b = -q*h - 1, -3*h + 2*z = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/22 and -68\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a3f5 (base 16) in base 2?\nAnswer: -101010001111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z**3 + 975*z**2 + 31096*z - 8964 = 0. Calculate z.\nAnswer: -27, 2\/7, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -1. Let o(s) = -s**2 - 4*s - 3. Let r be o(x). Put -3, -5, r in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mhmcnlhlmhnm. What is prob of picking 1 h and 2 m?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2. Let u(o) = -o**3 + 5*o**2 + 3*o - 5. Let n(y) = -2*a(y) - u(y). Let g = 24 - 45. Let j = -17 - g. Calculate n(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1872) + -4 + sqrt(1872))**2 - ((0 + sqrt(1053))*2)**2.\nAnswer: -2324 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + 14*t + 394. Let a be u(-14). Solve 3*b - 6 = -a*m, -15*m = 4*b - 11*m - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*y + 27*y + 27*y + 38 - 7 - 17 - 7.\nAnswer: 111*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 0 + -8 - -8 - (2 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 812 = 782 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 4*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -909.\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + o - 1. Let a(b) = -b + 1. Let s(z) = -3*a(z) + f(z). Let h be s(-5). Put -5, h, -2 in descending order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020011010121110201 - 11?\nAnswer: 1020011010121110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2251 times 0.1\nAnswer: -225.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f + 40 - 68 = 0. Solve f*x + 3*n - 4*n - 5 = 0, 4*x - 1 = -3*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*y = -12, -y - 40 = -4*m + y. Suppose -36 = -23*v + 125. What is the smallest common multiple of v and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1)*(-2*n + 264 - 205 + 0*n).\nAnswer: 4*n - 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of a**3\/3 + a**2 - 7*a - 1. Let f be v(5). What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r + 11*r = -2274 + 2154. Let k(u) = 4*u**2 + 2. Let j be (-2)\/2 + (-8)\/(-2). Let f(p) = 6*p**2 + 2*p**2 + 0*p**2 + 8 - 5. Determine j*f(d) + r*k(d).\nAnswer: 4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*y**2 - 12*y**2 - 5*y**4 + 11*y**2 + (0 - y + 0)*(-y**3 - 2 + 2) - 25*y**4 + 433*y - 433*y.\nAnswer: -29*y**4 - 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 4062209.\nAnswer: 3\/4062209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8733*w**3*z + 18*w**3 + 108*w wrt z.\nAnswer: -8733*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 28*d = -224856. Suppose -4*z = -v - 7344 - 153, 5*z = -v + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z**3 - 2723494*z**2 + 2723494*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, r: 2, w: 1, h: 2, v: 1, b: 1}. What is prob of sequence vbh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 352 and 22224?\nAnswer: 488928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169 is divided by (38\/(-10))\/(((-42)\/6)\/35)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*g - 23 = 0, 2*u + g - 31 = -0*g. Suppose 2*z - 85 = -u. Suppose -5*c = 4*y - 7*y + z, -y - 5*c - 2 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/81975 and -59\/10930.\nAnswer: 163950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 5 = -2*l. Suppose 0*p + 37029 = -2*p - a, l*p + 37014 = 2*a. Let g = p + 12612. What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 51, 77, 103?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -921459*j - 2 + 921459*j - 18*j**3.\nAnswer: -18*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**3\/7 - 2276*n**2\/7 - 22578*n\/7 - 20304\/7 = 0. What is n?\nAnswer: -1128, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9473 - 5487?\nAnswer: -1293a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 18  (c) 18.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -6. Let p = 277\/15 - 99\/5. What is the closest to 1 in s, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 1482 = 13*q. Let y(d) = d**3 + 9*d**2 - 10*d + 9. Let w be y(-10). Suppose 0 = w*n - 48 - q. What is the greatest common factor of n and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, f: 2}. Give prob of picking 1 o and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121*r + 348100 = -47*r + 44*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5)\/k*k\/k**1)\/(k*k**1)**(-9\/8) assuming k is positive.\nAnswer: k**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13, 2\/7, -3, 3\/38, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.225 - 0.333. Let r = 0.616 + h. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 4292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07  (b) -1\/2  (c) 27\/800\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16408.8 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 3*i = 0, 0 = -o + i - 5*i + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -37583 times -28?\nAnswer: 1052324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - h + 2. Let g be (-2)\/3*(2 - 5). Let t be r(g). Calculate the common denominator of -1\/46 and 123\/(-5)*(-2)\/t.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3 - 9 + m - 1 + 1. Let r be b(10). What is the third derivative of 140*c**2 + 10*c**r + 2*c**4 - 121*c**2 wrt c?\nAnswer: 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15239 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2047 - 2046.5. Let g = -5 + 28\/5. Put c, g, 8, -0.1 in decreasing order.\nAnswer: 8, g, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, j: 2, e: 2, v: 1, d: 1, c: 2}. What is prob of sequence vhc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -51400 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 13*k**2 - 4. Let r(n) = n**2 + n + 1. Give -j(b) - r(b).\nAnswer: -14*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**4 - 31816*n**3 - 190800*n**2 - 381536*n - 254336.\nAnswer: -4*(n + 2)**3*(n + 7948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -51*a + 78 + 51*a - 33*a**2 - 1006 + 13*a**3 wrt a?\nAnswer: 39*a**2 - 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.6 - 1.4. Let b = -6 - o. Let u = b + -4. Sort 0.1, 1, u in descending order.\nAnswer: 1, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201453 is divided by 90.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q**4 - 792 + 792 - 5*q**2)*(7 - 7 + 6*q)*(-2 + 0 + 5).\nAnswer: 108*q**5 - 90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -91, -209, -385, -625, -935?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 546 = -2*d - 4*d. Let m = d - -160. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1372942.5 to the nearest 10000.\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21013049 is divided by 5281.\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2161 = i + 5*h, 2*i = h + 3671 + 618. List the prime factors of i.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**0)\/(s*s*s**(-3\/5)\/s)*(s**0)**1)\/((s\/(s**(-2\/3)\/s))\/(((s\/(s*s\/(s\/((s\/(s\/s**(-3\/4)))\/s))*s))\/s)\/s))**(-37) assuming s is positive.\nAnswer: s**(8731\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p**3\/3 + 113*p**2\/3 + 46*p\/3 = 0. What is p?\nAnswer: -2\/5, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 4*q**2 + 3. Suppose -9*g - 23 = 4. Give i(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*sqrt(17))**2*-5.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of o**4\/24 - 4*o**3\/3 + 2*o**2. Let z be a(6). Put -5, z, 3 in increasing order.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 466 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - -3) + (-41 - 4). Let z = a - -73. Suppose -v = -43 - z. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/9, -8, 41, -17, 0.39?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 6:31 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w + 7 - 8 - 12. Let k(r) = -105*r + 513. Let u be k(5). Does 7 divide z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 454488.\nAnswer: 1\/227244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/30*(-576)\/(-432))\/((-435)\/25).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21822897 is divided by 3890?\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - -312202230?\nAnswer: 312202213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8324192 and 282176?\nAnswer: 16648384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + i + 1. Let x(b) = 4*b**2 - 6. Let y(u) = 3*j(u) + x(u). Suppose 3*c + w = -2*c - 13, -5*c = 5*w + 25. Let g = c - 1. What is y(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -193, -1578, -5325, -12616, -24633?\nAnswer: -42558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 80633 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3003383868 to the nearest integer?\nAnswer: 54803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 23*j - 20. Determine d(21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24399099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -30, -25, -10, 21, 74, 155?\n\"Answer: o**3 - o**2 + o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - d = 3. Let z be 9\/(-2)*(-180)\/54. Suppose -d*y + 5*o - z = 25, -2*y + 4*o = 30. Sort y, -3, -2 in ascending order.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-five quarters of a day?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/(-315))\/(4\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 7*n - 5. Let c be o(6). Let y = c - 6. Sort 0, y, 2 in descending order.\nAnswer: 2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001972567335 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17456287.\nAnswer: 23, 758969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -7 + 4598*s - 1 + 3 + 0. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 5, -2, -2.139.\nAnswer: -2.139, -2, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1949 - -1952. What is the smallest value in -240, j, 2?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -7  (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6 - 2*(-1)\/2. Let i(w) = 857143*w - 1. Let g be i(c). Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q + 2*q**2 + 2*q - q**2. Let j(y) = -9*y**2 - 20*y - 139. Let w(m) = -14*m**2 - 32*m - 210. Let i(o) = 8*j(o) - 5*w(o). Give i(v(t)).\nAnswer: -2*t**4 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1598.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 457 = 33*v - 236. Find the first derivative of -123*u + 77 + v - 29 wrt u.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4576880 and 840?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4413809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -681*s**3 + 341*s**3 + 342*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*j - 216*j = -48. Differentiate j*h - 71*h**3 - 34*h**4 + 73*h**3 - 83 - 6*h with respect to h.\nAnswer: -136*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -121*c**2*d**3*n**2 - 14*c**2*d*n**2 + c**2*d*n + c**2*n**2 + c*d**3*n - 6*c*n + 131*d**3 - d**2*n**2 wrt d.\nAnswer: -726*c**2*n**2 + 6*c*n + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 3)*(-3 + 7 + 2)*(-145*p**2 - 59*p**2 + 17*p + 125*p**2).\nAnswer: -474*p**2 + 102*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is abb - a4c6?\nAnswer: -9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2269 + 868 - 702 - 28*h**3 + 44*h**3 - 14*h**3 as a*h + g*h**3 + x*h**2 + n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -356560853, -356560855, -356560857, -356560859, -356560861, -356560863?\n\"Answer: -2*n - 356560851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.9424 + -0.0676. Let o = m - 2.77. Let t = o - -0.88. Round t to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-14)\/7)\/((-2)\/9). Let f = -38516 - -38510. Sort f, -4, c in descending order.\nAnswer: c, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 22*c - 68. Determine l(6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -47328\/83  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*p + 1. Let r(o) = 3*o**2 - 3*o + 3. Is r(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14967 + 14981. What is the smallest common multiple of 466 and k?\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-18))\/(3\/(27\/6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 758 = -2862. Suppose 29*v - 33*v = -h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of g**4\/4 - 11*g**3\/3 + 4*g**2 + 17*g - 13. Let b be y(10). Sort -2, b, 0 in increasing order.\nAnswer: b, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4150*m + 1620000 - 60*m**2 - 97*m**2 + 159*m**2 - 550*m = 0. What is m?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90 - 90 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 4*d**3 - 3*d**2 + 5*d - 5. Calculate the remainder when z(4) is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*d + 157906 = -549. What are the prime factors of d?\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 182 + 98?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -35792112 divided by -109456\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23624 - 48265\/2. Let i = y - -509. Let z**3 - 3\/2*z**4 + i + 1\/2*z**5 - 3\/2*z + z**2 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-28)\/8 + 2 + 5\/(-2). Let x be (r\/5)\/2 - 47960\/(-25). Suppose -28*f = -35*f + x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -18 - -8 - 4 - (8 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -10, 4, -5, 2590.3, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1100462714, 1100462715, 1100462716?\nAnswer: 1100462717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*p - 2 + 7 - 199*p - 2 - 3 - 3.\nAnswer: -235*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3050.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 - -37. Let c be i\/6 + 42\/9. Sort c, 1, -5 in descending order.\nAnswer: c, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -966029 or -966019?\nAnswer: -966029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a - 1. Let g(m) be the third derivative of 0 + 0*m - 1\/24*m**4 + 1\/6*m**3 + 18*m**2. Determine 3*g(n) + l(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 5:56 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 57*q**4 + 146 + 6*q**4 - 145 + (-q**3 - q**3 + 4*q**3)*(0*q + 3*q - 5*q).\nAnswer: 59*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/1142030 and -99\/6395368.\nAnswer: 31976840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -468*p - 8 = -b - 469*p, b = -2*b - 4*p + 32 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - 0.0308288\nAnswer: 0.4691712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -208 - 280 + 487 + 2*s**3 - 18*s in the form n*s**2 + k + h*s + x*s**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 87543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 59116757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/2 + -1 + 6. Let z(i) = -4*i**3 + 7*i + 3 + 3*i**l - 2*i. Let q be z(-3). What is the greatest common factor of 60 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10012022002001 (base 3) to base 8\nAnswer: -6365501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ljddjdddddddjjdddmm. Give prob of sequence jjjl.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1875, -84, -3\/5 in ascending order.\nAnswer: -1875, -84, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/38, -0.06, 79095 in increasing order.\nAnswer: -0.06, -1\/38, 79095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1539, 1141, -91, -2577, -6737, -12991, -21759, -33461?\nAnswer: -48517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -12, -2, 16, 42, 76, 118?\n\"Answer: 4*d**2 - 2*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g + 12 = -8*g, 2*g - 1796 = -2*k. Let h = 915 - k. What is the greatest common factor of h and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103, 136, 165, 190, 211?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 73, 115, 111, 49, -83?\n\"Answer: -2*z**3 - 11*z**2 + 89*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 7:40 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2076 and 419871.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-6)*30\/3. Let r be 7183\/(-33)*(-3)\/(-7). Let l = r - -93. Which is the second biggest value?  (a) -4  (b) t  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/21 + 990\/42. Which is greater: l or 20?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/3)\/(z*(z*z\/(z\/(z**(2\/21)\/z)*z))\/z))**32 assuming z is positive.\nAnswer: z**(832\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 1, -130, -1 in increasing order.\nAnswer: -130, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g + 2*g + 3690*g**2 - 3688*g**2 - 508 to k*g + l + d*g**2 and give l.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403 is divided by 318?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12927 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 436 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1711 - 1711.7. What is the second smallest value in b, 4\/5, 3\/5, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 3*r - 733 - 735 = -1476, r + 24 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m. Let t(o) be the first derivative of -39*o**2\/2 + 28. What is t(u(i))?\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -5*m**4 - 509*m**3 - 3273*m**2 - 4075*m + 950 = 0.\nAnswer: -95, -5, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -171*q + 176*q + 40. Let a be (156\/q)\/13*-50. What is the greatest common factor of a and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-4) - 34\/(-8). Let s be -55*4\/(-44)*(-6)\/(-3). Solve 2*x + a = s, -l*x - 5*a - 11 = -37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -5*j**2 - 2*j + 2. Let t = -320 - 12. Let n = t + 334. Let g(p) = p**2 + p. Give n*g(r) + v(r).\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1\/(-1))\/(((-12985)\/7844)\/49))\/(2\/(-5))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 547 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1232 + 233?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 93289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dkcx when four letters picked without replacement from {c: 6, k: 2, j: 1, d: 1, x: 7}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -21 - (-1 - 2 - -2). Sort -2, -1, 1\/6, u in descending order.\nAnswer: 1\/6, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5257 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - -1) + 6 + -6. Let o(t) = -f*t - 8 + 1 + 3*t. Calculate o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 1:23 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 59853*c + 2813060. Calculate t(-47).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -683 (base 9) in base 7?\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 25*p**2 + 6*p + 12. Let w(y) = -2*y**3 + 50*y**2 - 11*y - 24. Let t(v) = 13*n(v) + 6*w(v). What is the tens digit of t(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 721 + -429. What is f rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/5)\/(2 + -3). Does 7 divide ((-9)\/(-3) + v)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 248, 243, 220, 167, 72, -77?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 443712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86427 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.15894 - 0.02157.\nAnswer: -1.18051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 10*l + 83. Let n(b) = -4*b - 26. Give 14*n(s) + 4*t(s).\nAnswer: -16*s - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 - 6*y + 9. Let l be z(-7). Suppose -20 = 5*s, 4*u - 12 = s - 0*s. Factor l*q**2 - q - q**2 + 2*q**u.\nAnswer: q*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -16b - -5?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 998602 and 26326780.\nAnswer: 289594580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.14  (b) 0.3  (c) 4  (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 4. Is 4 + 15 + (m - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)*-1*-3 + sqrt(36) + sqrt(360)\/(sqrt(10)*1))\/((sqrt(72)*-2)\/sqrt(6) - sqrt(12) - sqrt(12)*-2*-1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -4*u + 161. Let i(x) = -43*x + 19*x + u*x. Let t(a) = -10*a**2. Give t(i(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 60*g*n**3 + 189*g - n**3 wrt n?\nAnswer: 180*g*n**2 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7671643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 30*p + 76. What is the remainder when 303 is divided by u(0)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2370)\/(-798) + -3)*14\/(-4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-3)\/r)**(-4\/23))**4)**(1\/4) assuming r is positive.\nAnswer: r**(16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g**2 + 44*g - 105. What is the tens digit of z(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 3*w - 64 = -w - 62, t = 123*w + 23 + 98 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3883.093 rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33*o - 1 + 25*o - 52*o - 3*o + 6*o - 4*o + (-1 - 4 + 3)*(o + 2*o - 4*o) + 3 + 2*o - 3 + o + 5 - 5.\nAnswer: 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 3*v + 54 = 0. Suppose 0 = -13*l + v*l - 5. List the prime factors of 12 - l - (13 + -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -13043*y - 11008284. Calculate q(-844).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 57281 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -4. Let a be h\/4 - (-73)\/(-2). Let l be 3*-2*2\/a. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*q - 4. What is the first derivative of -3*m**2 + 7*m**q + 2 - 2 + 1 wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -3  (c) 1\/12  (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 80*b**3 + 358?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 64568473 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2429 - 1320 - 6885*m - 1109 to v*m + p and give v.\nAnswer: -6885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 3:44 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -11592 divided by -4\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -215.98 and 0.6.\nAnswer: -129.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 336390 or 12782859\/38?\nAnswer: 336390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - q)*(4*q + 21*q - 61*q + (-2 - 3 - 1)*(0*q - 2*q + 3*q) + q - 2 + 2).\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -25*t + 638. Calculate u(30).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1395 + 2*h**2 - 4174 - 2770 - 2868.\nAnswer: 2*h**2 - 8417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -37 + 31 - (4 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1\/(f*f**(-10)))\/(f**(-6)*f**(-5\/3)) assuming f is positive.\nAnswer: f**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 + -56. Which is smaller: u or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-17)\/3)\/((-4)\/(-48)). Let p = 95559\/8 + -12013. Let y = p - m. What is the biggest value in -2, y, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + j - 4*j + 27 = 0, 5*j = 5*g - 45. Calculate the greatest common divisor of g and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 112 = -3*v + 4*c, -2*v = -3*c - 55. Let x = -12 + v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 115663350.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cddc when four letters picked without replacement from dcdcdcddddddcdcdddd?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*b - 225 = 0, 2*b - 335 = 5*i - 3*b. Let o be (-14)\/i - (-38)\/10. Calculate the greatest common factor of o and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-444*c - 95*c + 111*c - 144*c)*(-c**2 + 0 + 0) to the form w*c**2 + i*c + x*c**3 + f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u + 2. Let d be x(12). Let z(n) = -n**3 + 15*n**2 - 13*n - 7. Let c be z(d). Let l be (-7)\/(-2)*(-24)\/(-42). Solve -l*p = c - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w + 96 = 24 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 2, -25, -76, -157, -274, -433, -640?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-40)\/(-24)*(10 + ((-116)\/5 - -15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7 - 0)\/((-3)\/9). Let m = k + -14. What is the remainder when 16\/(-4) - (-80)\/5 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*d**3 + 4*d**3 + 5*d**3 + (-1 + 1 + 3*d**3)*(-1 + 2 - 3) - d + d - d**3 as a*d**3 + y*d**2 + n*d + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1230868039.\nAnswer: 18217, 67567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000000571 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1088989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 5*v**2 + v - 5. Let m = -6 + 11. Let s be w(m). Which is smaller: s or 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -44098 or -44095?\nAnswer: -44098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**2 - 435*y + 4810.\nAnswer: 5*(y - 74)*(y - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, j: 9, i: 5, b: 2}. Give prob of picking 1 j, 1 i, and 1 b.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 1 + 5 = 0. Let w be -2*(0 - (-1)\/2). Let f be (6 - 4) + (-1)\/w. Sort f, 4, b in decreasing order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/12)\/((-20)\/40*(-8)\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-14)\/21)\/((-4)\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 8 - 10*n - 30 - 2*n**2 - 5*n**2 + 5*n**2 + 3 - 8*n**3. Let p be i(-2). Solve 5*u = p - 62 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 957 not equal to 2721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 + 7*t**2 + 8*t + 9. Let k be h(-7). Let p = -233\/5 - k. Are -1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1986, -2\/11, 1082?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/z**1)*z)\/z)**(-6\/13) assuming z is positive.\nAnswer: z**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-90)*-2*(5440\/(-48))\/34\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 7:16 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -9*g**3 + 14*g**2 + 13*g - 28. Let d be c(-2). Solve 0 = 38*a - d*a - 216 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzup when four letters picked without replacement from qpunupzuznupzzppp.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45\/16 + -191\/48. Let p = -205 - -204. Which is greater: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**4 - 2420*w**2 - 4*w**4 + 1389*w**2 - 1 + w to the form r*w**3 + x*w**4 + s*w**2 + i*w + y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 12*d**2 - 10*d + 14. Let u be k(-11). Let r(w) = -w**3 - 5*w**2 + 5*w - 6. Let l be r(-6). Solve -4*f + u*f + 4 = l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6644344*u**5 + 2*u**4 - 75812452*u**2?\nAnswer: -398660640*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3*w - 1)*(0 + 5 + 0)*(-2*w**3 + 1 - 1) to g + l*w**4 + f*w**3 + c*w + i*w**2 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + (-1485)\/(-10) + 3\/6. Which is greater: r or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11009240 divided by 21010\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7838943209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 643 = 3*c. Suppose 9*m + 70 = 4*m. Is c\/2 - (-7)\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-12))\/(c\/c**(-4\/11)) assuming c is positive.\nAnswer: c**(-136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(171)*1 + -5 + 1*sqrt(171) + 0)**2 + 5.\nAnswer: -180*sqrt(19) + 2132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**3 + 4*x**3 + x**3)*(-2*x**2 + 2*x**2 - 3*x**2) + 7*x**2 - 7*x**2 - 6*x**5 - x**5 + 0*x**5 + 0*x**5 + (-3*x - x + x)*(-3*x**4 + x**4 + x**4).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -6560 greater than or equal to -6557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(110)*4)\/(1*sqrt(810)) + -2 + (-2*sqrt(110))\/sqrt(10) + -3)*3.\nAnswer: -26*sqrt(11)\/3 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 332*k. Let a(l) = 7*l. Determine t(a(x)).\nAnswer: 2324*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-120)\/(-540) - (2380\/(-63))\/(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3180701.\nAnswer: 3180701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0, 43, 2, 55, 1, 5.\nAnswer: -6, 0, 1, 2, 5, 43, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m**3 + 2*m**4 + 4*m**3 + (6948 - 3513 - 23*m - 3412)*((5*m - 4*m - 3*m)*(-3*m**2 + m**2 + 4*m**2) - 3*m**3 + 4*m**2 - 4*m**2).\nAnswer: 163*m**4 - 161*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3198698624 to the nearest integer?\nAnswer: 56557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16.1 + 0.08.\nAnswer: 16.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from dffdmgffadfgfgggffm.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.819 + -2.819. Which is the second smallest value?  (a) 7\/4  (b) -1  (c) -2\/23  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1259 divided by -410729.\nAnswer: -1259\/410729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -x**5 - 16296*x**4 + x**3 + x**2 + 435*x - 5 wrt x?\nAnswer: -60*x**2 - 391104*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -4\/3, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 5*z + j - 3*j, z + 4*j = 17. Suppose -l - 4*y = -36, -12*y = -z*y + 25. What is the highest common factor of 432 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 20*j - 427. Let x be w(13). Solve 5*l - 5 = 0, -5*n + l = -2*n - x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295952.3ml in litres?\nAnswer: 295.9523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -2, 0, 4, 3, -331 in increasing order.\nAnswer: -331, -17, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.0259 and 2.\nAnswer: -2.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - c - 423, 5*c - 91 = -a + 41. Suppose 0 = -x + 33 + 42. Let p = a - x. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20791763 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -242 = -3*f - 2*m, 0*f = -f + 4*m + 62. Round f to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8951570.\nAnswer: 2, 5, 895157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 - 10*u + 42. What is the remainder when p(-8) is divided by (6*51\/63)\/((-4)\/(-14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 499 = -5*d + 500, 2*b + d - 2 = -3*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*r**4 + 89*r**4 - 25*r**4 + 37*r**2 - 25*r**4 - 1 - 28*r**4 to w*r**2 + p*r + n + a*r**3 + b*r**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17780 is divided by 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 10*q + 120 = 0. Suppose 6*r - q = r. What is the tens digit of 117\/3*2\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5698 = 109*f - 7878 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 154841508 divided by -6\nAnswer: -25806918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - w + 15 = -0*w, 25 = 5*w. What is the second derivative of 23 - o - 3*o**b - 23 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 0*y + 1 = 0. Let p = -3 + 23. What is the units digit of (0\/(-3) - y)*p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3743527900 to the nearest 1000000.\nAnswer: -3744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (408*d**2 + 2686*d**2 - 375*d**2)*(5 - 3 - d - 7) as v*d**3 + n*d**2 + h + s*d and give v.\nAnswer: -2719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -19\/6, -3\/13, 4, -5545, 0.1, 1 in decreasing order.\nAnswer: 4, 1, 0.1, -3\/13, -19\/6, -5545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4534047 is divided by 334.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-3024)\/(-21))\/(-36)*-2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**3 + 7*w**2 + 22*w + 199. What is the units digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 13*f + 35. Let a(q) = -36*q - 98. Let n(g) = -4*a(g) - 11*h(g). What is n(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29004\/11 - -2641. Find the common denominator of (2670\/36 + 0)*6\/40 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12796979 is divided by 213?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126\/56*56\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d + 1. Let g(f) = f + 1. Let o(c) = 2*g(c) + p(c). Let m be o(0). Let x = m + -1. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 4*b - 6, 4*b + 852*o - 848*o = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -4*x - 3. Suppose -5*i + 35 = 3*f, -i = -4 + 3. Suppose c = 3*m + f, m + 18 = -0*c + 4*c. Give g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 - i**2 + 12*i + 40. Let v be g(0). Suppose 17 - 49 = -u + 5*z, 0 = 3*u - z - v. Let q = 29 - 13. What is the highest common factor of q and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93101 is divided by 30727?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 9) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d4b + 4?\nAnswer: -d47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-561)\/(-935))\/(6\/(-5))*(-23)\/((-299)\/2496)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -22774*n + 21. Let f(h) = h**2. Calculate q(f(j)).\nAnswer: -22774*j**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y*(y**6*y*y)\/y)\/y*(y*y**(-1\/6))\/y)\/(y**(-2\/3))**(-1\/4))\/(y**(-5)*y*y**2)**(-40) assuming y is positive.\nAnswer: y**(-217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*n - g, 2*g + 4 = -4*n - 0*n. Let t be (-2 - (-7 - n))*35\/(-20). Which is the third biggest value?  (a) t  (b) 1\/4  (c) 5  (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 51*k**2 + 85*k + 84. Let f be j(-1). Let g = -56 - -181. What is the greatest common factor of f and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 15 = 2*r, a - 5 = 3*r - 3*a. Suppose x = r*x - 16. Solve 2*u - x*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280\/17 + 66\/17*x - 4\/17*x**2 = 0.\nAnswer: -7\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 172 = t. Let u = -18217 + 18220. Calculate the smallest common multiple of u and t.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**2 + b**2 + 0*b**2 + (1 + 4 - 1)*(-b**2 + b**2 - 2*b**2).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 50501027 to the power of 1\/2, to the nearest integer?\nAnswer: 7106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9089\/5 + -1820. Sort 0.04, i, 4, 5, -3 in descending order.\nAnswer: 5, 4, 0.04, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 2*j + 14 = 0, 0*j = 5*y - 5*j - 20. Let r be (1*(-3)\/y)\/(-1). Let x(t) = 126*t**3 + 2*t**2 - 2*t + 1. Is x(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*s = 766, -4*m + s + 3044 = 5*s. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16 + -5758?\nAnswer: -576e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of u**6\/120 - 11*u**5\/60 - 7*u**4\/12 + 4*u**3 - 2*u**2 + 78*u. Let f = -31 - -43. Let r be b(f). Which is smaller: r or 5\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = f - 1718, -7481 = -3*f - d - 2369. Let i = f + -1074. Is i*((-24)\/16)\/((-3)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s + 240. Let g be u(47). Suppose k - 3*r - 54 = 45, -g = -k - 5*r. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 6*o**2 + 189*o + 373. Calculate g(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -43 - -53. Suppose -b*q + 209 = -291. Let u = -47 + q. Calculate the highest common divisor of u and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 465104992 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -24307974 or -24307976?\nAnswer: -24307974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 8 + (-4 + 1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 v, and 1 w when three letters picked without replacement from {w: 1, y: 5, r: 2, x: 1, v: 6, k: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3971 + 3959. Let w(r) = 2*r + 21. What is w(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -422.1 + 441. Let p = 19 - r. Let b = -1 - -1.2. Sort -5, p, b in increasing order.\nAnswer: -5, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.34 - -0.34084. What is t rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10732 (base 8) to base 7\nAnswer: -16216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 0.1  (b) -1\/3  (c) 3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + ((-3)\/3 - 0). Let c be 3\/((-6)\/h) + 64. Suppose 2*r - 58 = -5*w - r, -c = -5*w - r. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736)*2 + sqrt(2736) + 5 - sqrt(2736)) + sqrt(2736) - -2*sqrt(2736)*-3)**2 + (3 + -1 + sqrt(19) - (-3*(sqrt(19) + 0) + sqrt(19)))*4.\nAnswer: -348*sqrt(19) + 24657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = c - 64. Let t = c - 45. Let p(n) = -n + 1 - t*n - n**2 - 4 - 1. Determine p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 5:18 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -7*k**3 + 7*k**2 + 5*k - 10. Let u(l) = 4*l**3 - 4*l**2 - l + 6. What is -3*n(w) - 5*u(w)?\nAnswer: w**3 - w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-14))**(-8\/13) assuming b is positive.\nAnswer: b**(112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/((-54)\/(-57) + -1). Let w(h) = 21*h**3 - 45*h**2 - 15*h - 1. Let d be w(s). What is d rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - (0 + 1 + 1). Let x be ((-16)\/12)\/(1\/l). Suppose -x*d + d = 0. Is 0 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -69  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*n = 11*n + 92872. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 11 + 4 = -5*u, -3*r - 3*u - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 2 + 3, -5*l - 25 = 4*a. Let b(h) = -h**2 - 2*h - 5. Determine b(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 228b65 (base 14) to base 13.\nAnswer: 322778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30854472 to the nearest integer?\nAnswer: 5555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -281 - -330. Let l = 7 + r. Calculate the highest common divisor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221 * -3016.9\nAnswer: 666734.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1017*b**2 - 1516 - 1019*b**2 + 1516.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -966441 - 23412 = -9713*p - 154535 for p.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 19 = g. Let r = 54 + g. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5656*p + 296*p + 168159 + 180241 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**5 + f**4 + f**2 - f. Let l(y) = -692*y**5 + 2640*y**4 - 3304*y**3 + 1690*y**2 - 378*y + 32. Let i(d) = -l(d) - 6*v(d). What is t in i(t) = 0?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1563.7 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -3*q + n, 79 = 4*q - 3*n - 17. Sort -2, 3, q in ascending order.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 - 98.2335?\nAnswer: -97.9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*g = -2*g - 59*g + 5000130. What are the prime factors of g?\nAnswer: 2, 5, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (15 + 1 + (2 - 25))*4\/(-1). Let f = 4 - 0. Solve -2*p + z = 5*b + p, f*p = 4*b - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 64 = 58 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 5*i**3 - 3286*i**2 + 12*i + 18. Let j(a) = 9*a**3 - 6572*a**2 + 22*a + 33. Determine -6*j(s) + 11*v(s).\nAnswer: s**3 + 3286*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0024405526 to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q - 8. Let l(i) = -1. Let z(j) = 18*l(j) - 2*t(j). Determine z(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2276089973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + q. Let y(h) = 2*h**2 - 6*h. Let m(v) = 5*i(v) + y(v). What is the second derivative of m(p) wrt p?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**3 + 9829*l**2 + 157456*l + 630080 = 0. Calculate l.\nAnswer: -8, 9845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*z + 7*z + 6*z - 20 + 4*z wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -94a2 (base 13) to base 15\nAnswer: -6171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 126c (base 13) in base 12?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.18648 + -1078.\nAnswer: -1078.18648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 8893\nAnswer: 35572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*n + 2*a = -73*n - 98, 3*a - 231 = -4*n. Solve -j - 48 = -n for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 19*d**2 + 100*d + 190. What is the remainder when 892 is divided by i(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 392.9681 - 393. What is x rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/6)\/l)\/l)\/l**(-1\/5)*(l**(-7)*l)\/(l\/((l**(-6)\/l)\/l)) assuming l is positive.\nAnswer: l**(-499\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, v: 3, k: 1, u: 2}. Give prob of picking 2 v and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - (-2 - (-15 + 4)). Let r(z) = z**3 + z**2 + 11*z + 19. Let k be r(g). Let l = 1478 + k. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*s + 6*s + 4. Let j(n) = 7*n - 1. Is j(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 2*g + 10 = 0. Suppose -f - 2*s - 1 = -g, 4 = 4*f + 2*s. Suppose 3 = k - f. Solve 4*u + 24 = -4*t, k*u + 17 = 3*t - 0*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 33  (b) -4  (c) 145\/7  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -211 + 23323?\nAnswer: 23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/25*(3585\/716 + (-220)\/10 + 17).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 151 by 630.\nAnswer: 151\/630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i**3 - 2*i**2 - 2*i - 1. Let l be x(-1). Suppose 0 = 5*v + 10, l*v + 2 = j - 0*v. List the prime factors of 230\/18 + j\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 64*j*p**3*x - 31*j*p*x*y**2 + j*y**2 - p**3*x*y**2 - 77*p**3*y + 110*p**2*x*y**2 wrt j?\nAnswer: 64*p**3*x - 31*p*x*y**2 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22459 - 22333. What is the smallest common multiple of f and 98?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/10 - 3*(-10)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.242 - -0.042. Let k be (0\/2 - -1) + -1. Let p = 0.027 - 3.027. What is the closest to k in -0.5, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 793 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 2746177892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 11:00 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**3 + 35*c**2 + 17*c + 13. Let q be x(-17). Suppose o - 129 = 4*s, -16*o + 2*s = -q*o - 377. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -22. Let t be (2\/6)\/((-11)\/(-6)). Which is the second smallest value?  (a) 2\/7  (b) t  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 3 + 4 + 33*c**2 - 37*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 - 15*y + 21. What is a(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3939.2523 rounded to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -4*a - 31. Let d(h) = -2*h - 15. Let w(j) = -5*d(j) + 2*n(j). Let x be w(16). Suppose x = -m + 6*m. What is the least common multiple of 10 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a - 17 - 25 = -2*a. Solve a*z + 6 = 6*j - 9*j, 5*z - j = -28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -177832, -178190, -178786, -179620, -180692, -182002?\nAnswer: -183550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 - 9*g**2 - 9*g - 4. Let m be k(-8). Suppose z + 3 = 5*d - m, 11 = -2*d + 5*z. Solve j**4 - 5*j**4 + 4*j**4 + 2*j**d - 2*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1658234652.\nAnswer: 2, 3, 19, 211, 34469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4864410*r*u**3 + 83756239*r*u**2 - 8*u**3 wrt u?\nAnswer: 29186460*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = -5*r + 9. Let u be (-4)\/(16\/r)*(-20)\/(-25). Solve 3*t = -u*k + 6, 4*k = 5*t - 32 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8154 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1 - 4\/(-208))\/((-3)\/(-2)) and 71\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 937 divide 101910538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*l = 81 - 16, -4*l = -3*f + 163. Calculate the greatest common divisor of 1425 and f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/8 + 45*y\/8 + 33\/2.\nAnswer: 3*(y + 4)*(y + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -538 + -52615561?\nAnswer: -52616099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 229*s**2 + 14*s - 31. Let g be p(3). Suppose 0 = 3*d + 4*d - g. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -20, -13, -6, 1, 8?\n\"Answer: 7*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 9*w**2 - 24*w + 126. Let k be j(8). Let f = -3097\/8 + 386. What is the nearest to f in 3, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 89*c = -1640. Let f(n) = 2*n**2 + 9*n. Calculate the smallest common multiple of c and f(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 203 - 59 + 0*q - 72 + 306 + 6*q.\nAnswer: 6*q + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 0. Let w(p) = -p**3 - 5*p**2 - 6*p - 3. Let j be w(v). Solve 0 = -j*u + 9 - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -5, -4, 5 in decreasing order.\nAnswer: 18, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n + 2. Suppose 0 = -3*v + 2*v. Let l be s(v). Suppose -4*j + 20 = d, -2*d - j = 3*d - 5. Solve -y = -d*y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 - 13. What is the remainder when 9 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5*(-5 + 1)\/(45\/36). Let z(f) = f**2 + 17*f + 18. Let w be z(k). Solve -3*v - 5 = -w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -140247?\nAnswer: -14024a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.83 and 3812.7.\nAnswer: 3164.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -18 (base 9) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 13*y - 32. Suppose -17 = -3*q + 10. Let p be z(q). What is the second biggest value in 0.4, p, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 1, -1, -2, -72 in increasing order.\nAnswer: -72, -2, -1, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 147, 339, 573, 855, 1191, 1587, 2049?\n\"Answer: k**3 + 15*k**2 + 140*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54.9 + -56.7. Round n to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -4\/5, 0.5, -47, -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 11:43 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -10*c + 13*c + 57, 0 = -5*j + 3*c + 120. Suppose 4*a - a - w = 67, -a = w - j. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5705 = 15*b - 1405. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 116, 403, 984, 1961, 3436, 5511?\nAnswer: 8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -12678 divided by 4226\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/10590 and -71\/264?\nAnswer: 465960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/6577 or 0?\nAnswer: -8\/6577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*g + 4*g**3 - 617 + 614 - 3*g**3 to a*g + h*g**3 + w*g**2 + q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**5 - 11461639*n**3 + 527*n**2 - 2413*n wrt n?\nAnswer: -120*n**2 - 68769834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 30.29012624 to 2 dps.\nAnswer: 30.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.3, -3, 4\/7, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2260 is divided by 151?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/6)\/((75\/525)\/(54\/21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -30389.59204 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*t**4 + 3*t**4 - 6*t**4 + t**4 + t**4 + 0*t**4 + (14*t + 127 - 127)*(2*t**3 - 4*t + 4*t) to m*t**3 + q*t**2 + c*t**4 + f + d*t and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 379919.3 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = d. Let s be ((-12)\/10)\/((-2)\/10). Suppose s*y = d*y. Solve y = -3*i - q - 4, 0*i + 4 = -2*i - q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/114585120 and -121\/520?\nAnswer: 114585120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, z: 1, a: 1, l: 1, o: 1, g: 4}. Give prob of sequence gl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 7*z**2 - 10*z - 8. Let f = 577 + -393. Suppose 0 = 4*m + 60 - f. What is the remainder when m is divided by u(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-117)*-3*(43 + -40)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -89*v + 3. Let h(u) = 267*u - 9. What is 17*g(b) + 6*h(b)?\nAnswer: 89*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 114 + -114.17. Put 2\/9, 2\/7, k, -2\/3 in ascending order.\nAnswer: -2\/3, k, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/7 - 18*t**2\/7 - 8*t\/7 + 72\/7.\nAnswer: 2*(t - 9)*(t - 2)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 52\/5 of a second?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 126 - 60. Suppose 3*d - 4*r = -2*r + 16, 5*d + 2*r = 32. Calculate the highest common factor of k and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0596 and -12900.\nAnswer: -12900.0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 76078.24g in milligrams?\nAnswer: 76078240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 105083663 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*w - 5*w. Let z be -8*((-1)\/w + 4\/(-6)). Solve -3*i = 2*i + y + 3, -z*i + y = -3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98474901.\nAnswer: 3, 7, 53, 103, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.3, 18, -2, -527?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 28*y + 19836. Determine s(128).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 11 = -5*i, -2*q + 34 = -q - 5*i. Let n(g) = -g**2 + 9*g - 5. Give n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b. Let q(r) = -17673 + 280*r**2 + 17673. Give q(a(f)).\nAnswer: 2520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -21*u + 15. Let t(x) = -x**3 + 7*x**2 - 3*x + 17. Let i be t(7). Is k(i) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12221 (base 3) to base 14.\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29168599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 460 and 22.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -31 - 1\/3*m**3 + 5*m + 2*m**2. Let y be (2 + 5\/(-3))*15. Determine k(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 1:35 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/3  (b) -5  (c) 0.2  (d) -0.2  (e) 563\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24207 - 12742. Let t = 11389.01 - j. Let q = -76 - t. Put q, -5, -2\/3 in ascending order.\nAnswer: -5, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4a - 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 21*d - 19. Is 1 - (-3 + 1) - -218*d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -215 - -181 - (-110 + -20)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1134 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 577002 * -609.\nAnswer: -351394218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 2. Let r(u) be the first derivative of 3*u - 4. Suppose 8 = 4*h, 0 = -5*d + 3*h - 4*h + 17. Determine d*b(m) - 2*r(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**6\/120 + o**5\/10 - o**4\/4 + 5*o**3\/3 - 23*o**2. Suppose -363 = 42*s - 69. Determine d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -24\/11  (b) 1\/5  (c) -1.11  (d) -2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13021 + 13042. What is the lowest common multiple of 12\/(-30) + (-302)\/(-5) and x?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*b, -4*c + 4*b + 2 = 10. Let h(w) = 2*w**2 - 1. Let i be h(-1). What is the third smallest value in 5, 0.15, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 579638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/6  (b) -1  (c) -3894\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2*n + 15063 = 0, -q - 1588 = -3*n + 1422. What is the units digit of (-7 - q)\/(5*(-8)\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3)\/u*u**8*(u**2)**(3\/14))**(-2\/29) assuming u is positive.\nAnswer: u**(-62\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 425587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 3:35 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 4, -8 in descending order.\nAnswer: 4, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1898 - 22?\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 294 and 147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (52 - 78) + (-6 - 24)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 1233?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4703, -18817, -42341, -75275?\n\"Answer: -4705*y**2 + y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6141041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6571\/60 - -335\/3. What is the common denominator of -47\/68 and y?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -40 - 9?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -1 - (48 + -34)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -1\/6  (c) -1\/5  (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1314 and 438?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 38299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 + n - n)*(-2*n + 2*n + 2*n)*(0 - 6 + 3)*(5 - 3*n - 5).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5 - 5 - 2*q. Let h(g) be the first derivative of -5*g**2\/2 - 25. Determine h(j(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 910983207 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 0.082019441?\nAnswer: 0.0410097205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2753*u - 2752*u - 1.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*a + 38*a + 36*a - 85 = -5*g, -3*g = 10*a - 104 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 225\/150 + (-152242)\/(-4) + -2 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1419 + -870106.38.\nAnswer: -870106.5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmymymymmmmmyymymmy. Give prob of sequence ymy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4984 = -c + 4*j, -5*c + j - 13728 = 11230. Let v be (c\/(-240))\/(4\/110). What is the greatest common divisor of 52 and v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, 49, -4\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 - -19. Let q be -1*b\/8*4. Solve 2*z = j + 2, -2*j + q = 4*z - 3*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -p**4\/4 + 7*p**3\/3 + 4*p - 4. Let o be m(7). Let -3*a**5 - 20 - o*a**2 + 2*a**4 + 4*a**3 + a**5 - 2*a + 22 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 121\/2*x**3 + 143*x**2 + 46*x + 4 = 0.\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5339 is divided by 4952?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 569, 3, -5, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1844 is divided by 827?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -172395*f**2\/2 - 3965090*f - 230.\nAnswer: -5*(f + 46)*(34479*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 56717\/3306 + 6\/551. Calculate the common denominator of u and 6*(-2 + (-194)\/(-80)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 128*v**2 - 5*v - 5. Let z(m) = -385*m**2 + 17*m + 13. Let n(t) = 7*o(t) + 2*z(t). What is the second derivative of n(i) wrt i?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m - f + 13 = -7, -4*m - f - 10 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-64)\/28)\/(6\/(-21)). Suppose n*f - 180 = 3*f. Calculate the least common multiple of f and 22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + t. Let b be y(3). Let j = 33 + 27. Calculate the greatest common divisor of j and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011111011001111010 (base 2) in base 5?\nAnswer: -131343142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/10*9\/(-567)*7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/11, -1.1, 0.1, -0.4, 0?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/24 and -39\/1739?\nAnswer: 41736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 188126400 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(5\/3)*m**1*(m**(-1\/4))**9)**(-16) assuming m is positive.\nAnswer: m**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 14. Let q(l) = 0 - l**2 + l**3 - 6*l**2 + l - 5. Let x be q(7). Solve -x*s = 4*z + y, -12 = 3*s - s - 4*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -99 at most 2123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101110000 - -11?\nAnswer: 1101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25297, -25290, -25283?\nAnswer: -25276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**4\/2 + 2*w**3 - 2*w**2 + 4*w + 5659. Let d(b) = -6*b**3 - 17*b**2 + 11*b - 11. Give 4*d(a) + 11*l(a).\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -1  (c) 166  (d) -4\/39  (e) 21  (f) 7  (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 15 = -5, -5*x - 2*v + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2012525 (base 9) to base 3.\nAnswer: -2000102120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1790551 is divided by 447621?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from kwqqk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8\/33 + -10\/33. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 2*t - 23 = -4, 2*f - 2*t - 16 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1248 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336252869?\nAnswer: 336252869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 1. Calculate c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-15)*(-12975)\/((-6)\/2). Let x = c - 10403\/6. Find the common denominator of x and -47\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2042746285 or -2042746286?\nAnswer: -2042746286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1042 (base 10) in base 2?\nAnswer: 10000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41273711774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -6. Suppose -3*p + p + 2 = r. Calculate the lowest common multiple of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2\/5, 0.5, 36?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 49956768 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/124636 and 35\/170502048.\nAnswer: 170502048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4098, 3790, 3322, 2700, 1930?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.126+-1.77343\nAnswer: -1.89943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -1\/5  (b) -1.5  (c) -0.3  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (137346\/6243)\/(2\/(2 + 0 + 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/2*(-6)\/(-4). Suppose -5*h + 5 = 0, 2*h = -5*u + f*h + 44. Let p be 3*1 - (2 - 2). Solve 0*b = p*b + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*i - 79*i = 31*i - 258 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*g - 35*g + 58*g + 22*g.\nAnswer: 99*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/15, 3, -6, -2\/5 in increasing order.\nAnswer: -6, -2\/5, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 12, -6*q - 2*f - 12 = -9*q. Suppose -p = -4*p + 102. Suppose -5*s = 6*l - 11*l + 65, -p = -q*l - 2*s. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15*(-2 - (4 - 10)). Suppose -250 = 55*u - q*u. Calculate the least common multiple of 25 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, 14, 67, 162, 311?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5*h = -h - 52, -67 = -2*a - h. Suppose a = -4*y + 32. Let n be (8\/36 - (-1768)\/(-18))*y. What is the greatest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r = 35. Let d(q) = -q**2 - 11*q - 9. Let v be d(r). Let h = v - -20. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - j = -2*j - 2, 2*j + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 - 88494.\nAnswer: -88494.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by -73.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.1248984 micrograms?\nAnswer: 0.0000000000001248984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29050182 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -107 - -112. Let w(v) = g*v + 102 - 102. Let p(a) = -4*a - 3*a + 3*a. Calculate p(w(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 703 and 222?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2\/7 - 3141012*h - 175896928\/7.\nAnswer: 4*(h - 5496779)*(h + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 271 + -269. Which is greater: r or 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 25\/5 + (-2 - -1). Suppose 5 = z*v - 0*v + f, 0 = -5*v - f + 7. Find the second derivative of v*s - 4*s**4 - s + 2*s wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/11)\/((-1 - 2)*(-477)\/(-2862)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -5*c**3\/6 + c. Let g(s) = s + 78. Let p(l) = 13*l - 78. Let y(q) = -g(q) - p(q). Give v(y(u)).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 16*n**3 + 4*n**2 - 7*n + 8. What is the tens digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -76.8 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b1bb1e + 4?\nAnswer: -1b1bb1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 9:10 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zzobzabzzzoabdoooo?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(19) + -5 + sqrt(931) + 4)**2.\nAnswer: -80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 11*r - 184 = 0. Let b = r + -6. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 3*n = 12, -2*n - 3 = -2*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 629, 1\/5, 1\/2, 2.\nAnswer: 1\/5, 1\/2, 2, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rryyrrrrr. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -134.23518 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -14. Suppose 25 = o*s - 0*s. Let r(d) = 8*d + 2. Let k(a) = -7*a - 1. Let w(v) = s*k(v) + 4*r(v). Differentiate w(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15\/4*c**2 + 5\/4*c + 15\/4*c**3 + 0 + 5\/4*c**4.\nAnswer: 5*c*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 + 6*q - 5. Let p(k) = -118*k + 258*k - 129*k + 4*k**2 - 4 - 5. Determine 11*l(r) - 6*p(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -441 divided by -9?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n - 1. Let s(q) = 18*q - 46. Let t(c) = -10*h(c) + 2*s(c). What is the derivative of t(g) wrt g?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1146912 divided by 12\nAnswer: 95576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-50)\/525 + (-15496)\/21. Let p be x\/(-82) + -2*3. Solve -4*k - 21 = p*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 42*p**2 - 139*p - 377. Let z be c(37). What is the greatest common factor of z and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 155 and 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -v - 2*q, 2*q = -5*v - 0*v + 57. Suppose 31 = 4*h - 49. Suppose p - h = v. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5\/3 + 5*p**4\/3 + 53*p**3\/3 - 125*p**2\/3 - 896*p\/3 - 980\/3 = 0. What is p?\nAnswer: -5, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**9)\/n)**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -29714\nAnswer: 1\/14857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000147335 to 6 dps.\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - -131. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13108 * 4.\nAnswer: -52432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57364\/755 - 27\/151. Suppose -4*n + 107 = -3*f - 98, 395 = -5*f - 4*n. Let i = t + f. Which is the biggest value?  (a) -1  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6.7  (b) 0  (c) -0.1  (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from eheehhuuehheeuehuuhh.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229 - 2*w**2 - 229.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -14. Suppose -x - r + 5 = 0. Is x < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + 18. What is the remainder when 61 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 3*i**2 - 128129919*i + 512519628 = 0.\nAnswer: 4, 42709969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1229167.772+6635\nAnswer: 1235802.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1)\/2 + 1638\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**2 + o. Let z = 28281 - 28287. Let n(d) = 3*d**2 + d. Calculate z*n(y) + 5*v(y).\nAnswer: -3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 9:24 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -248*t**3\/3 + 5*t**2\/2 + 142*t. Is r(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -116 - 21*z**3 + 128*z**3 + 5*z**3 wrt z?\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 16*o + 90. Give b(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -41533.2546 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 10:00 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (48\/(-8))\/(-4*1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (59\/(-59))\/(2\/10*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-60)*-9*135\/(-6318).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -0.4, 3, -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -834354764 rounded to the nearest 100000?\nAnswer: -834400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175055.\nAnswer: 5, 157, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2404 - 798 + x - 802 - 804.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.26 + -1.36. Let l = -2.16 - -0.16. Let m = 1.6 + l. What is the second biggest value in m, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 10) to base 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -53 and -51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than -30336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -339 + 4389. Is 30 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 9*d + 5*d - 21 = 0, -2*d + 17 = 3*s. Let u be (969994 - (s - 7)) + 6 + -2. What is u rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 45754783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*k*n**2 - 4885*k*n - 359*n**2 wrt n?\nAnswer: 8*k - 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yumlccclccccggcg. Give prob of picking 1 y and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 58*n**3 + 4*n**2 - 11*n - 14. Calculate j(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.02 + 0.05. Let j = -0.03 - m. Which is the nearest to j?  (a) 0.4  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -0.0618\nAnswer: -0.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3*sqrt(11) + 5)*-6.\nAnswer: -60 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.792154547 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 141162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 4*r**2 - 5*r - 1. Let y be l(6). Let n be 5 - 724\/(-2) - -7 - 5. What is the greatest common divisor of y and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1727 and 49049?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34 - 25.5. Let v = 12.63 - z. What is v rounded to 1 dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of y**3\/3 - 2. Let c(v) = v. Determine i(c(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14495 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2539.396005 - 2530.396. Let g = 18 + -9. Let j = g - z. Round j to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 6 = 3*f, -f - 6 = -4*g + 8. Suppose o - 20 = -4*o. Suppose f*k = 3*y - 2*k + 16, 30 = -o*y + k. Is y equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-65 - -25)*125\/(-4) is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/3 + 954*r**2 - 306000*r + 28382112.\nAnswer: -2*(r - 1023)*(r - 204)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/9)\/((-6)\/(-36)). Suppose -61 = -4*j - 3*p, -3 - 25 = -v*j - 4*p. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1280) + -1*sqrt(1280) + sqrt(1280))*-1*-3)\/(3*(sqrt(36) + sqrt(4)) + (sqrt(100) + -3*sqrt(100) - sqrt(100) - sqrt(100) - sqrt(100))).\nAnswer: -24*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 12*o**2 + 5. Let x(q) = 3*q + 7 + 18*q**2 - 3*q. Let c be (15 + -7 - 2 - (-7)\/(-1)) + 6. Determine c*x(l) - 7*v(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 301164 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1816040 and 11620?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45447*d**2 - 22722*d**2 + 0*d + 0*d - 22716*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 w when four letters picked without replacement from wqwqqpwqwkwwkk?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96 and 4176.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-1))\/((98\/(-8))\/7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fyr when three letters picked without replacement from {f: 4, r: 8, s: 2, y: 3}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -82 (base 10) in base 9?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 19*p + 105. Which is bigger: -8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -113981 - -114063.0028. Let o = -82 + b. Round o to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 566.860015 to one decimal place.\nAnswer: 566.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18201206 to the nearest integer?\nAnswer: 4266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 2178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/6 and 13\/5984254.\nAnswer: 17952762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-1\/2)*r)**27\/(r*r\/r**(-2))**(-34)*((r*r*(r*r**(2\/5))\/r)\/r**8)\/((r*r*r\/r**(-2\/7))\/(r\/((r**(-1)\/r)\/r*r))) assuming r is positive.\nAnswer: r**(11943\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 5*t + 6. Let d be m(-5). Suppose 2*o = -o + d. Suppose 0*r + 2*q = o*r, 4*r = 2*q - 10. Is r > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**3*n**3 - 442*m**3 - 142*m*n**3 with respect to n.\nAnswer: -6*m**3*n**2 - 426*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -17  (c) -683\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8798463 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 14 - 12)*(-213 + 46 + 118)*(3*h + 3*h - 2*h).\nAnswer: 4900*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*s = -7*s + 17375. Let a = 740 + s. What is the highest common divisor of a and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 48\/987751?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1040240 (base 5) to base 10\nAnswer: -18195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -333323?\nAnswer: 333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16406 divided by 16406.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 706*y - 307 = -709*y, 1784 = 22*t + 2*y + 422 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79 + (20 - (-71 + 25)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 10. What is the nearest to 0.1 in 0.6, 4, q?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of w**5\/20 - w**4\/3 + 2*w**3\/3 - w**2\/2 + 2*w. Let k be o(3). Which is greater: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 3*w - 32, -2*w + 47 = w + 4*s. Suppose 0 = -2*a - 1 + w. What is the smallest common multiple of a and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/48)\/((1\/(-1))\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -s**4\/12 + s**3\/2 - s**2 + 15*s. Let k be a(4). Let n(d) = d**2 + 6*d - 8. What is n(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of 1\/12*p**4 - 1\/3*p**3 + 0 - 2\/15*p**5 + p + 46*p**2. What is f(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-22)\/5 - 8\/(-20). Let l(q) = q**2 + 1631*q - 544*q - 539*q - 3 - 542*q. Calculate l(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -25783225 and 0.2?\nAnswer: -5156645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 52*m + 113 = 56*m, 2*i - 188 = -7*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -106 + 116. Let l(x) = 5*x - 48. Let n be l(t). Solve 15 = 3*z + n*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**4 - 1331282*z**3 + 443095247209*z**2 - 11519801476248*z + 74877247210896 = 0. Calculate z.\nAnswer: 13, 665628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r + r**2 - r)*(-3*r + 5*r - r) + (-18*r**2 - 25*r**2 + 34*r**2)*(3*r - 5*r + 4*r) to t*r**3 + x*r + d*r**2 + z and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 1. Let q = 4 + 0. Let v(k) = 2 + 3*k**2 - q*k**2 + 3*k - k**3 - 1. Calculate v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 5:32 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2880 and 1944.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) - (sqrt(612) + 0 + sqrt(612) + -2 - sqrt(612))) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.23?  (a) 11  (b) -65  (c) -1\/7  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of 49*n**3\/3 - 48. Let m(i) = -i**2. Determine m(u(d)).\nAnswer: -2401*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -5*a + 1. Let n = -22 + 28. Let g be (n*(-6)\/(-9))\/(4\/(-10)). What are the prime factors of s(g)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r**2 + 2*r**2 + 2*r**3 + r**3 + r**2 + 40*r**4 - 6*r**2 to o*r**3 + c*r + g*r**4 + f + u*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*i = 47, -50 = 4*f - 3*i + 7. Let b be (-4)\/((-3)\/f*-1). Let j = b - 5. 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 zth term of 2877, 5746, 8611, 11472, 14329?\n\"Answer: -2*z**2 + 2875*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 15*p + 303. Let s be z(25). Calculate the greatest common factor of 689 and s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131159411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mlfllmmwmflwm. What is prob of picking 1 w and 1 m?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 622016 or -50?\nAnswer: 622016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*s**5 + 9577354*s**2 - 38277795*s wrt s?\nAnswer: -60*s**3 + 19154708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 3*g - 471, 0 = -4*n + 7*g - 12*g + 362. Solve -35*q = -4*q - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 937, 4557, 10845, 19801, 31425, 45717, 62677?\nAnswer: 82305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -i + 3. Suppose 3*h - 3 = i. Suppose 19 = h*g - 0*g - 5*b, 5*b = 25. Calculate the greatest common divisor of 198 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 306 divide 185959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 2:01 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 110 + -105. Suppose 5*m + s*f = 585, -355 = -3*m - 0*f - 2*f. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23157.\nAnswer: 3, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -44)*(2 + -3). Let h = g + -117. Let t = -35 - h. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*b + 15*b + 11*b + 18*b + 33 - 54*b + 0*b.\nAnswer: -b + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 8*b**2 + 9*b. Suppose -2*q + 4*t = -5*q - 8, 0 = -2*q + 4*t + 8. Suppose -5*u - 8 - 37 = q. Calculate i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qydq when four letters picked without replacement from {x: 1, d: 1, y: 3, w: 1, q: 5, s: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.3 and -16101.\nAnswer: -16099.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 138301153 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7105, 7108, 7111?\n\"Answer: 3*v + 7102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 1 = -1. Let h(a) = -a**3 - a**2 - 3*a - 1. Let u be h(q). Suppose 0 = -5*d + 2*d - u. Put d, 1, 3 in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*r, -r = -k - 0*r + 22. Let h be 1029\/35 - 3\/(-5). Let i = h - k. What is the closest to -0.1 in -0.2, 2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**1)**47)**(2\/11) assuming o is positive.\nAnswer: o**(94\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.63 + 106.37. Let s = a - 94.3. What is s rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.423, -1, 8, 1 in decreasing order.\nAnswer: 8, 1, 0.423, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -1051*u + 23. Let t be z(-11). Suppose 2*r = -f + t, 5103 = -5*r + f + 34056. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2*u + 3 = 0. Let y = -0.3 + 0.4. Is u >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rwz when three letters picked without replacement from {w: 1, z: 1, r: 1, i: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 718850902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00153997 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.9 + 71.1. Let o = -0.85 + -76.85. Let t = g + o. Put -0.05, -3, t in decreasing order.\nAnswer: t, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 4*p**5 - 44*p**4 + 72*p**3 + 392*p**2 - 844*p + 420 = 0.\nAnswer: -3, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5008*d = -3432*d - 14107 - 112493 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**4 - 51*q**3 + 279*q**2 - 525*q + 294.\nAnswer: 3*(q - 7)**2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 27*j - 19. Give o(-27).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-1 - (2 + -3 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237*l + 1752 = -5*q + 241*l, 2*l = 5*q + 1746. Do -347 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 2*x + 18. Let j be b(6). Let w be j\/12*8\/(-5) - -2. Suppose -2*n - 26 = -5*c, -40 = c - w*c - 5*n. Solve 3*p = c + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, -4, 723, 4 in increasing order.\nAnswer: -5, -4, 3, 4, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11 and -11\/337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3233, -3289, -3391, -3545, -3757, -4033, -4379?\n\"Answer: -h**3 - 17*h**2 + 2*h - 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -2*h**7\/105 - h**6\/15 + h**5\/5 + 11*h**2\/2 + 9*h. Let y(s) be the first derivative of x(s). Factor y(d).\nAnswer: -4*d**2*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (r + 2 - 2 + (-4 + 7 - 2)*(r - 3*r + 3*r))*(-4*r**3 + 15*r**2 - 15*r**2) as h*r**3 + s*r**4 + m*r + z + x*r**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 1:46 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10616 and 40?\nAnswer: 53080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57 and 691087.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 116, 245, 374, 509, 656, 821, 1010, 1229?\n\"Answer: p**3 - 6*p**2 + 140*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 314\/9 + -35. What is the second biggest value in 0.5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 154.\nAnswer: -5\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 67660 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -932, -1879, -2810, -3725, -4624, -5507?\n\"Answer: 8*k**2 - 971*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/4 and -97\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of -u**6\/3 - 119*u**5\/20 + 2285*u**2\/2 - 3*u - 1331. Differentiate a(c) wrt c.\nAnswer: -40*c**3 - 357*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 852 - 20*l**3 - 852.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (5 + 7238\/(-1452))\/(6*(-8)\/(-36))*-4\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89680313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 13.0278  (c) 4  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of b**8\/6720 - b**7\/630 + b**6\/144 - b**5\/60 + 5*b**4\/12 + 8*b. Let q(m) be the third derivative of t(m). Factor q(o).\nAnswer: (o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 158123 and 103586.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -6. Suppose 0 = s*d - 3*d - 28. Calculate the lowest common multiple of 310\/93*216\/15 and d.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*b - 395 - 37 = -92 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4 + 3*o**2 - 3*o**2 + o**2 + 5*o. Let l be p(-6). Suppose -l*j + 4 + 6 = 0. What is the smallest value in -0.1, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 25333.\nAnswer: 2\/25333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m**2 - 984477*m + 42338058 = 0 for m.\nAnswer: -328202, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 38*r**5 + 6*r**3 + 2*r**2 + 6*r + 11. Let g(p) = -p**5 - p**3 - p + 1. Let y(i) = -6*g(i) - x(i). What is the third derivative of y(d) wrt d?\nAnswer: -1920*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3960)\/(-16))\/(-11) - (7 - -20)\/(-3))*4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11185794091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-119)\/(-14)*(3 + -1). Suppose z - 5 = 3*c. Solve -y = -2*v - 3, 0 = 5*v - c*y + 4 + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in 2\/7, -6, -1.5, 0.1, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 7*k**6\/30 + k**3\/2 - 5*k. What is the second derivative of p(d) wrt d?\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 240 and -1 + (-40)\/(-1) + -25 + 22.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -11*x**2 + 17*x + 32. Let m be h(-4). What is the greatest common factor of m and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 17 - (-169)\/91*-7. Let j be -1 - -3 - 2 - (-3 + 0). Sort r, 0, j, -2 in decreasing order.\nAnswer: r, j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -37642 smaller than -75285\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (38 - -43) + -7 + -53?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2 = -2*n - 12, 5*n + 19 = 2*z. Suppose z*w = 4*w - 2*g - 142, g + 339 = 5*w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 4*o**2 - 57*o + 43. Let t be n(17). Calculate the highest common factor of 130 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -4*i + 3, i - 5*m - 3 = 4. Suppose -l - i*l = -1407. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 610173958.\nAnswer: 6101739580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-2\/17))\/(c\/(c*c**(-3\/10)))*c\/(c*c*c**(-9))*c*c*c\/c**(2\/13) assuming c is positive.\nAnswer: c**(25777\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2354504 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6180 is divided by 6171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 4*j + 2. Let r(u) = -u**2 - 14*u - 7. Let b(d) = -7*c(d) - 2*r(d). Let x(a) = 2*a**2 + 63. Give x(b(g)).\nAnswer: 8*g**4 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -7*q - 2. Let n(w) = -4*w - 8. Suppose x - 6*x = 10. Let i(z) = 1. Let a(t) = x*n(t) - 14*i(t). Suppose 5 = -0*y + y. Give y*a(s) + 6*d(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 18 = -11*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r - 31 = 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2862060 is divided by 14310?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 614403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 180, -0.4, 3, -4?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -948 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1451, -2861, -4227, -5549, -6827, -8061, -9251?\n\"Answer: 22*u**2 - 1476*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 11*o + 14 = 3*l, 4*l - o - 14 = 0. Let q(v) = 2*v**2 - 4*v + 24. Is 8 a factor of q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 38*r - 4. What is the hundreds digit of s(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*z**5 - 32*z**4 - 3624*z**3 - 6608*z**2 + 38980*z + 42000 = 0. Calculate z.\nAnswer: -25, -4, -1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 21190 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-70*d + 117*d + 98*d)*(-86 - 27*d + 86) to j + u*d**2 + k*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -17*n**2 - 2121*n + 15040. Give t(7).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*m - 12 + 12 - 19*m to b + f*m and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -122*(-167)\/1336*(8 + -4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 912.5 - 927.5. What is the nearest to q in 1, 0.4, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of -317*k**5\/20 - 563*k**4\/12 - k**2 + 24*k. What is the second derivative of m(a) wrt a?\nAnswer: -1902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 + 9642*j.\nAnswer: 2*j*(j + 4821)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*s**2 + 14*s**2 + 34*s + 31*s + 5*s**2 - 71*s.\nAnswer: 30*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h**3 + 7347*h**2 - 7347*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(231)*-2)\/sqrt(7))\/(1*sqrt(396)) + 1.\nAnswer: -sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118557 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7221379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6.38808 and -2.67.\nAnswer: -17.0561736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/28*-1*(-7)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 42 and 44100?\nAnswer: 1852200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2168949689, 2168949688, 2168949687?\nAnswer: 2168949686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*g - 762 = 15*g - 204 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (4\/2 + -6). Suppose q = 3*h - q - 10890010, f*q = -4*h + 14519985. What is h rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (702*n**5 + 9702*n**2 - 9702*n**2)*(2 - 2 + 3 + (3 + 3 - 4)*(-2 + 3 + 1)).\nAnswer: 4914*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 1\/5*j**2 - 1\/5*j - 1\/5 + 1\/5*j**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -185, -617, -1337, -2345?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of 0*p**5 + 1\/180*p**6 + 3*p**2 + 0*p**4 + 0*p + 0 - 1\/630*p**7 + 0*p**3. Factor r(s).\nAnswer: -s**3*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 9:05 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1006726 + 23.2404?\nAnswer: -1006702.7596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 305*u - 167*u - 136*u + 36 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bxgxggagb. What is prob of picking 1 a, 1 g, 1 b, and 1 x?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20 + 2*r**2 + 16 + 3*r + 11 + 2*r**4 - r**3 - 49 to n + d*r**2 + s*r**4 + q*r**3 + k*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 455298959 to the power of 1\/3, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 3*u - 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28699943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1228737181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(99) + -1)**2 - (2*sqrt(1331) + 4 + sqrt(44)\/sqrt(4)).\nAnswer: -53*sqrt(11) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*p + 27*p + 13*p to the form b*p + h and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**2 + 230*u - 1351. Determine q(107).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 3*h - 103 = 27*q + h, -5*q - 23 = -h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 3*a + 43. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10603.\nAnswer: 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**6\/360 - l**4\/12 + 2*l. Let w(f) be the third derivative of v(f). Let u(y) = 2*y + 3*y - 6*y. What is w(u(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.551 - -8.5. Let a = d - -3.751. Let o = a + -3.8. What is the nearest to 2 in 3\/4, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*i - 30 = -12*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009858 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4\/5  (b) -0.1  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/70*(-5 + 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 165*q**5 + 2*q**4 - 3*q**3 + 2*q**2 + 2120*q?\nAnswer: 9900*q**2 + 48*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -75 + 270. Let g = -34 + m. Suppose 3*s - g = 52. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.6 - 4. Let v = -0.4 - j. Let r = 0.2 - v. Which is the closest to 1?  (a) -0.3  (b) r  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -267*g + 22*g**5 + 2*g**4 - 14*g**5 + 2*g**5 - 43*g**5 wrt g?\nAnswer: -660*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(32) + (sqrt(4608) - (sqrt(4608) - (1 + sqrt(4608)))) + sqrt(4608) + sqrt(32) + sqrt(96)\/sqrt(3) + 3)**2 + -1.\nAnswer: 23327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 9*x - 23*x + 6*x. Let d(t) = -20*t. What is v(d(m))?\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 - -89. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o - 4 + 4)*(-446*o - 821*o + 153*o).\nAnswer: 2228*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 50432 - -461?\nAnswer: 51223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-7*(-8)\/(-84))\/(16\/(-6))*(-462)\/(-84)\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 5*k**2. Let m(s) = 8 - 6 + 15*s - 55*s - 2. What is m(f(y))?\nAnswer: -200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*g - 748, -3*x = -3*g - g + 969. List the prime factors of g.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -5. Let n = -1.3 - -1. Let t = 155212.2 + -155212. Which is the closest to t?  (a) n  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 0. Which is the third biggest value?  (a) -5  (b) 3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1339 divided by -103.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*b - 3*b - 2*b)*(-601 - 594 + 1199 + 14*b + 4*b**2) as n*b + m + x*b**3 + a*b**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 663.379 hours?\nAnswer: 2388164.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*c**4 + 51418*c**3 - 5346 - 4*c**2 + 7*c**2 - 51412*c**3 wrt c.\nAnswer: 56*c**3 + 18*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3632 = -2*i + 2*h, 0 = -3*i + 4*i - 5*h - 1812. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -233*m**2 - 2*m + 5. Let c(a) = 232*a**2 + a - 4. Give 4*c(p) + 3*l(p).\nAnswer: 229*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 7.9907.\nAnswer: -7.7907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 10:26 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4362 - 34831\/8. What is the common denominator of n and -55\/52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*n**2 + 6*n**2 + 10*n**2 to d*n + m + o*n**2 and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 3*i + i**3)*(3*i + i - 3*i) + 5 + 4*i**4 - 5 + 8*i**4 - 1783*i**3 + 1783*i**3.\nAnswer: 13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of p**6\/200 + 2*p**5\/25 + 2*p**2 + 585. Suppose w(g) = 0. What is g?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x + 1. Let g(j) = -4*j. Let q(h) = g(h) + 2*n(h). Determine q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqd when three letters picked without replacement from {r: 4, t: 2, g: 2, q: 4, d: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -252, -11, -7, 2\/5, 1\/5.\nAnswer: -252, -11, -7, -0.3, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 8*y - 10*y - 15 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3 + 2 = -x, 0 = -3*x - 15. Solve p = h + 8 - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -5, -0.4, 1, 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12731 and 75069?\nAnswer: 2177001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 5. Let r = y + 14. Suppose -19*k = 58 - 552. What is the least common multiple of k and r?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76232172?\nAnswer: 2, 3, 6352681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**2\/2 - 5181*w\/2 - 41576 = 0.\nAnswer: -16, 5197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 97.3 to zero decimal places.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of v**4\/4 - 3*v**3 + 4*v**2 - 4*v - 13. What is x(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a**3 + a**2 - a - 7. Let m be t(-3). Suppose 4*k - 145 = -k. Let g = m - k. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 44.66  (b) 5\/3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 29051000 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 4 + 0 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2416 + 0?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53568 = 2427*i - 4101*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27489 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d = -23*d + 27*d + 340 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o\/(o\/o**(1\/15))))\/o**(2\/67)*o**(-11)*o\/(o**(7\/2)\/o) assuming o is positive.\nAnswer: o**(-21299\/2010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50.98974 + 0.01026. Which is the third biggest value?  (a) -2\/13  (b) o  (c) -1\/2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 649887356?\nAnswer: 2, 17, 23, 193, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2442*q - 500*q + 160417 - 1173 = 0 for q.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/((-14)\/2)*13725\/3843?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 93351 - 1430*b**3 - 2*b**5 - 93347 + 55*b + 135*b wrt b?\nAnswer: -40*b**3 - 8580*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68 + r + 28 + 25 - 5*r to the form j + d*r and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*v**2 + 68*v**3 - 50*v**3 - 20*v**3 - 41.\nAnswer: -2*v**3 + 18*v**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -3, 28, -6169 in decreasing order.\nAnswer: 28, -3, -23, -6169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.5 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -19, -15, 2\/7, 3\/7, 1.42?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*w = 19 - 3, -k + 2*w = 0. Suppose -3*m = -k*m + 635. List the prime factors of m.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*d - 1161 = -765 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 - -31. Let p = -5.7 - -6. Let y = 7 - 2. Sort y, u, p in descending order.\nAnswer: y, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/45764 and -97\/101626.\nAnswer: 136788596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 - 3*m**2 - m - 1. Let j be d(-3). Let k(g) = -43*g**j + g**2 + 23*g**2. Let h(p) = -p. Give h(k(z)).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56920951, 113841904, 170762857, 227683810?\nAnswer: 284604763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - (15 + (11 - 9 - 6) - 21)) + -63?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357745 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -414 + -6. Let l = q + 432. What is the greatest common divisor of 156 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of s**4\/8 - 44*s**2. Let i(w) = 0*w + 0*w + 2*w**2 - 10*w**2. Calculate g(i(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 244, 252, 262, 274?\n\"Answer: x**2 + 5*x + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 - 7*b - 1. Let k be y(7). Let s = k - -1. Let d be (s\/(-1) + -3)*-1. Solve -t + j = -d*t + 7, t = -j + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**4 - r**3 - 4*r**2. Let f(v) = -48*v**4 - 6*v**3 - 24*v**2 + 394. Let p(h) = f(h) - 6*m(h). What is the first derivative of p(w) wrt w?\nAnswer: -216*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4885.\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1517)\/(-185))\/((-100)\/500).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26535415, 53070829, 79606243, 106141657?\nAnswer: 132677071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 32*w**2 + 32*w - 26. Let r be o(-33). Is r\/(28\/(-16)) - -74 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1844650 and 23350?\nAnswer: 1844650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 33 = -9*k. Let a(x) = x**3 - 9*x**2 - 20*x - 20. Let r be a(k). Solve 0 = -3*w - d + 10, 0 = 2*w + 3*d - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3*c**3 + 20*c**2 + 6*c + 4. What is the least common multiple of t(6) and 6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 747 divide 19705860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 5 - 4)*(481*w + 82 - 51 - 34) to v*w + b and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*t - 10*t - t - 21*t + 349.\nAnswer: -15*t + 349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/19)*a)\/a)**(4\/3)*(a*a**(-1\/4))**(1\/2) assuming a is positive.\nAnswer: a**(235\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93182 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80954, 161910, 242866, 323822?\nAnswer: 404778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 11:21 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**2 - 21*a + 33. Let i(c) = -3*c**2 - 31*c + 49. Let l = 115 + -120. Let y(r) = l*i(r) + 8*p(r). Determine y(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 12 = -5*b, 74 - 83 = -3*z - 2*b. What is the second biggest value in 1, -51, 0.1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-38)\/(-28)*609\/(-58))\/(9\/(-6)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 355750 + -35219696\/99. Let r = 52\/11 + b. Find k such that -8\/9 - r*k**2 + 8\/9*k = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 51371, 102740, 154109, 205478, 256847, 308216?\n\"Answer: 51369*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -2\/9  (b) -5  (c) 3  (d) 4\/3  (e) 12.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 171676446 divided by 29914?\nAnswer: 5739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186666172.\nAnswer: 2, 7, 11, 606059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-868)\/(-252) + 8\/(-18). Let h = 46 - m. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100208551 is divided by 747?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 282  (c) 6  (d) 5  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (sqrt(40)\/sqrt(2))\/sqrt(10) + 2)**2 + sqrt(16)\/(sqrt(8) + sqrt(16)\/sqrt(2)*2).\nAnswer: 25*sqrt(2)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.5  (b) 14  (c) 0.4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 90101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -6, 4, -3, 28 in increasing order.\nAnswer: -6, -3, 4, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 at least 2112\/305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(17) - sqrt(85)\/sqrt(5)) + sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3)*-4).\nAnswer: 5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of n**8\/10080 + n**7\/840 - n**6\/180 - n**5\/60 - 6*n**2. Let g(o) be the third derivative of y(o). Does 13 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7 and -130?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*d + 435 - 45 = 0. Solve -5*w + d = r, 5*r + 0*r - 2*w = -33 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -528 - 47*o + 528 + (3*o + 3*o - 4*o)*(0 - 7 + 1)*(-3 + 2 + 2)*(0 + 3 - 2).\nAnswer: -59*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*1.50751758\nAnswer: 0.452255274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 19*c**2 + 74*c. Give b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -11 + 108 - 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -217*u = -227*u + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 156641 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 - 7*s + 18*s - 11*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 942 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(612) - (2 + sqrt(612))**2)*-4 + -2.\nAnswer: 72*sqrt(17) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 7:12 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 2, 0.301, -76, -0.2 in increasing order.\nAnswer: -76, -17, -0.2, 0.301, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 1\/3*m**3 + 0*m**2 + 4*m + 0. Let g(r) = 3*r. Determine g(q(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 330 - 87. Suppose -45 = 22*y - r. Let v(a) = -a**2 + 9*a + 7. What is v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 13*r. Let o(c) = -691180*c. Calculate d(o(g)).\nAnswer: -8985340*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k**2 - 89*k - 10. Let x(v) = -3*v**2 + 4*v + 23. Let p be x(4). Let r(d) = -d**2 + 22*d + 3. Let b(u) = p*r(u) - 2*h(u). Factor b(j).\nAnswer: (j - 7)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/312)\/(8*(-6)\/(-72))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1003 + -48262?\nAnswer: -47258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 130.08 + 1172.523664?\nAnswer: 1302.603664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -290 + 203. Does p = -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 5*j - 18 = 0, -3*w = -4*j - 2809 + 2819 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1589140*g**2 - 195*g**3 - 1589140*g**2.\nAnswer: -195*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*j + 19*j = -11. Calculate the least common multiple of 9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 544034 to the power of 1\/2, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s**3 - 2*s**2 - s - 1. Let h be i(-2). Let b = h - 15. Suppose 12 = t + t. What is the greatest common factor of b and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 9 + -30 - -4) + 49?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -7, 4, -45, -22, 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 183 + -131. What is the highest common divisor of h and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -668 + 670. Calculate the remainder when (8\/4)\/((-4)\/(-58)) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 40*b**2 + 96459517*b - 96459517*b. Let l(r) = 2*r**2. What is q(l(v))?\nAnswer: 160*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 21141, -2 in decreasing order.\nAnswer: 21141, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006184882 to 7 dps.\nAnswer: -0.0000618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -530, -539, -548?\n\"Answer: -9*u - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65046843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -38.1 and -0.4.\nAnswer: 15.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-56)\/(-2) + (-5 - -11) + -2. Let d(u) = 8*u + 2*u**2 + 24*u - j*u. Let v(k) = -21*k. Determine v(d(x)).\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 5*j - 1918. Let g be (-1 + 240)\/((-8)\/(-9)). Let k = j - g. Calculate the common denominator of k and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7669 - -354.71.\nAnswer: 8023.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 j, 1 v, and 1 p when four letters picked without replacement from {g: 2, p: 2, v: 1, j: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 33e (base 15) to base 16\nAnswer: 2de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 20*p + 8. Suppose 5*w = 14 - 114. Let n be o(w). Which is the fourth biggest value?  (a) 5  (b) 0.5  (c) 2  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13920*z + 25633 + 99647 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-20)*(-21 + 19)*25. Sort j, 4, 0.1, 4\/3 in decreasing order.\nAnswer: 4, 4\/3, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 - 279273*x + 285112*x in the form c + i*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19888 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -1.2, 0.2, -937, 1, 5 in increasing order.\nAnswer: -937, -11, -1.2, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1159?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 35511072\/201 - 1*13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 4*i - 37. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/12 - 106\/6. Let b = c - -27. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -257ef?\nAnswer: 257f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-6)*o*o)**(-6))**(-5) assuming o is positive.\nAnswer: o**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(12\/5))**(-2\/99) assuming y is positive.\nAnswer: y**(-8\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 6*g - 4. Determine n(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.6 - 1.4. Let l = 2.05 + p. Let w = l - 1.05. Which is the second smallest value?  (a) w  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 5*q - 266, 0 = 5*w + 4*q - 61 + 455. Let o = -78 - w. Solve a + o*v = -1 - 0, 4*a - v + 21 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 12 = -2*u + g, 0 = -2*u - 2*g + 16. Suppose 3*x + 0*v = -u*v + 290, -v = -3*x + 310. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j**2 - 4*j - 3. Let m be v(-2). Let h = -12.2 + 0.2. Let n = -11.9 - h. Is m greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 12:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(2 - 3) + 165?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, -2\/3, 447, -1\/4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28481.\nAnswer: 19, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -3, -0.61, -4?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 875 is divided by 185?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3603*j*z**3 + 34744485*j + 12*z**4 - 68*z wrt z?\nAnswer: 10809*j*z**2 + 48*z**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*b - 54*b - 32*b + (-2*b + b + 3*b)*(-1 + 8 + 7))*(-3 + 5 - 1).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 873401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v + 1. Let a be j(5). Let f(t) = t**2 - 9*t + 5. Let g be f(8). Put a, 2, g in descending order.\nAnswer: 2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-9)*3\/(-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-2)*(-170)\/102*28\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -4. Let j = 1 - l. Which is the third smallest value?  (a) -0.5  (b) j  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) - sqrt(396)*-2*5))*-4*5*4*-2 + 2)**2.\nAnswer: -38400*sqrt(11) + 1013760004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 300\/13 - 1578\/65. Let y = 2 - 0. What is the third biggest value in y, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 91946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**5*i)\/((i*i*i**(-1))\/i))\/((i**(1\/2)\/i)\/i**(2\/17)) assuming i is positive.\nAnswer: i**(225\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25247 is divided by 24672?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 8*u**2 - 11*u + 6. Let o be g(-6). Solve -t + 5*h - 23 = o, -2*t - 3*t + h = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, s: 1, c: 2, k: 4, t: 2}. What is prob of sequence oks?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -14*x + 5*x. Solve -5*d = -4*b - 5, x*d - d = 2*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 327837, 327831, 327829, 327831, 327837, 327847?\n\"Answer: 2*d**2 - 12*d + 327847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2075303 millilitres in litres?\nAnswer: 0.0002075303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -148 divided by 32?\nAnswer: -37\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -3.5. Let r = -1.5 - p. What is the closest to 1\/4 in 3, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -60*a + 18. What is the units digit of c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 378 = 66. Let p be ((-4)\/5)\/(q\/(-30)). Let k = -74 + 72. What is the nearest to p in 5, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -6*l - 11. Let f(t) = 18*t + 33. Suppose -4 = a - 7. Let r(y) = a*f(y) + 8*q(y). Let u(g) = -2*g - 4. Determine -4*r(i) - 11*u(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34797*k**2 - 75*k - 140?\nAnswer: 69594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -676, -640, -580, -496, -388, -256, -100?\n\"Answer: 12*l**2 - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ssdstgstssggstdtt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -2, 26\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1680 = 3*o + 17*o. What is the greatest common factor of o and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 5 in descending order.\nAnswer: 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 12 = 4*v, 0 = -3*v - 5*j + 24 + 2. Let f be (519\/(-30) + 17)*(-20)\/v. Solve 3 = f*q - 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m = m - 30. Let z(d) = -d**3 - 6*d**2 + d + 8. Let t be z(m). Let u be 0 + (1 - 21\/(-3)). Solve 6 = 2*n + 2*h - t, 0 = 2*n - 3*h - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 3 = 7. Suppose -2*z + h*v = -v - 1, -1 = z - 2*v. Suppose 0 = 5*t - f - 17, 0 = -5*t + 3*f - 8*f + z. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111100010011001111010 + 10?\nAnswer: 100111100010011001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -22. Let f be -3 + (0 - 0) + k. Calculate the highest common factor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9.6*2433.\nAnswer: 23356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r - 14. Let m be v(-4). Does 6 divide (43 - 1) + -2 - 4\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*k - 49 - 525 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxxwxns. Give prob of sequence xn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40495 by 445.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*f = -0*w - 23, 4*f + 2 = 2*w. Suppose -2*n = -w*n + 40. Solve o = -o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 108 and 195.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 1, -21\/50, 4, 0.2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - a + 3*a - 468 = 0, 2*a = -2*p - 906. Let l = 926 + -37. Let z = p + l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (-13 - 1) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.8303138 rounded to one decimal place?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -0.104  (b) 2.12  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(425) - (sqrt(425) - -1*sqrt(425))) + -3)*-5 + -4*sqrt(425)*-5*-4*-4)**2.\nAnswer: -221250*sqrt(17) + 36991250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-9 + 3 - (-13 - 5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3739 (base 11) in base 10?\nAnswer: 4882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w*w**1\/w)\/w)\/w*w)**(-41)*(w**(1\/3))**32 assuming w is positive.\nAnswer: w**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - 322b5?\nAnswer: -322ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -475 + 329. Let h = 150 + r. Which is the closest to 0?  (a) 0.5  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -278?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10170, -10176, -10188, -10206, -10230, -10260, -10296?\n\"Answer: -3*g**2 + 3*g - 10170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 7 + 2)*(-7*b + 3*b + 3*b) - 438*b + 3945*b - 2151*b.\nAnswer: 1361*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3417, 3413, 3419, 3441, 3485, 3557?\nAnswer: 3663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9 - -61ef?\nAnswer: 61f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2))\/((-28)\/24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 213, 899, 2039, 3633?\nAnswer: 5681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 105 and 719319489?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 390 = 400. What is the biggest value in -2\/7, -15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-72075)\/(-620))\/15*-1*-1*4\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 10*z**2 + 8*z + 26. Determine v(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -175?\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1520.2 - -1528.2. Which is the fourth biggest value?  (a) g  (b) 0  (c) 1\/10  (d) -6  (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**6*k - 168*b**4*k - 3*b**3 - b**2*k - 39*b*k - 61 wrt b?\nAnswer: 360*b**3*k - 4032*b*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 - -5c93?\nAnswer: 5c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 11, k: 3}. What is prob of picking 1 k and 2 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 2, z: 1, t: 3, o: 3, s: 1, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 38 = 4*f, -876*f = -882*f - q + 45 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -90 + 179. Suppose 0 = -5*b + 101 + c. Let a = 38 - b. Solve -5*t + 5 = n - a*n, t + 2*n - 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-772)\/(-60) - 4\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7  (b) -3  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 413951731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-199191.3\nAnswer: -19919.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*w = 8*w - 3*w, -m - 5*w = -0*m - 11*w - 10 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*(y\/y**(-1\/64)*y)\/y*y**(-21))\/((y**28*y)\/y**(1\/10)) assuming y is positive.\nAnswer: y**(-15323\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + 64\/59328*103 + (-620)\/(-9)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2081 + 2050.14. Let g = -31 - m. Let r = g + 3.14. Sort -5, r, -0.5 in descending order.\nAnswer: r, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**2\/7 - 68*m\/7 - 290\/7 = 0?\nAnswer: -29, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6012 times 0.4?\nAnswer: 2404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from acaffcjccfjfccu. What is prob of picking 3 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 12. Let i = h - -4. Calculate the greatest common divisor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 72, 126, 190, 264, 348, 442?\n\"Answer: 5*n**2 + 39*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18543 is divided by 9271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 97 = -2*r + 8*o, -3*o = 4*r - 129. Let z = 53 - r. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 1\/4  (b) 10\/67  (c) -1\/4  (d) -10  (e) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -26 - (39 - (13 - 48 - 8)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 443864 and 14887120?\nAnswer: 3928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 1488\nAnswer: -5952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12058586 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162)*-5)\/sqrt(6).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 912 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -711, -706, -699, -690, -679, -666?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/66 and 83\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16429*o = 16446*o - 152779. What is the greatest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1040 - -1476. Let l = 488 - d. What is the remainder when 361 is divided by l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 20*i - 24. Let f be 1 + 50\/(-10) + 1. Let p(a) = -4*a + 5. What is f*s(o) - 14*p(o)?\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*6*(-2*sqrt(192) + 4 + (sqrt(192) + 1 + 1 - sqrt(192)) + sqrt(192) + 1)*1)**2.\nAnswer: -16128*sqrt(3) + 34704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*z**4 + 7196*z**3 - 1166412*z?\nAnswer: -240*z**2 + 43176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -65 - 160*y**2 - 227*y - 225*y + 450*y wrt y.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 63 - 77. Put -1, 4, k in decreasing order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 14\/(-63) + 12755\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 5*r - 1, -9*n + 4*n - 4*r = -19. Suppose -n*a = -99 - 33. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 337\/1431 or -1?\nAnswer: 337\/1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -20*h**3 - 226*h**2 - 4*h + 45. Determine t(-11).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 507*t - 512*t = -114*h - 630, 3*t + 4*h = 16 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126 is divided by 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9793 is divided by 240?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/9*((-19251)\/322)\/93?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8186 rounded to two decimal places?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 276, 449, 620, 789, 956, 1121?\n\"Answer: -t**2 + 176*t + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, 6, -1, 2\/7, -2, -4\/3 in descending order.\nAnswer: 6, 2\/7, -0.07, -1, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 1 + 106*a - 250*a - 101*a + 7. Is g(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004141 rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (-5620)\/18 - 54\/243. Suppose w = -9*d + 9753. 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 the greatest common factor of 18 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2652122 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4646 - 1483. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28205, 17145, 6087, -4969?\nAnswer: -16023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8392, 16789, 25186, 33583?\nAnswer: 41980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -99708, -99768, -99806, -99816, -99792?\n\"Answer: x**3 + 5*x**2 - 82*x - 99632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.08, -1\/2, -27.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22.9 + 24. Let h = k + -6.1. Let l = 0.02 + 3.98. Which is the closest to 1\/4?  (a) l  (b) 2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q - 9. Let h be x(4). Which is the third biggest value?  (a) -0.5  (b) h  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x + 13 - 13 + 3*x + x - 2*x + (0 - x + 0)*(-3 - 4 + 5) + (0 + 1 + 0)*(21*x - 8*x - 2*x).\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**7\/840 + c**6\/120 - c**5\/60 - c**4\/24 + 41*c**3\/6 - 20*c**2. Let h(t) be the first derivative of o(t). Give h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of b**3\/24 + 121*b**2\/16 - 123*b\/4 + 1153. Let h(j) = 0. What is j?\nAnswer: -123, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (5 - 2)) + 2 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/12*230\/(-1495)*114.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 442*z**2 - 214*z**2 - 94*z**3 - 217*z**2.\nAnswer: -94*z**3 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(-2\/5))**(-17)\/((t\/t**2)\/(t*t*t**(-1\/9)\/t*t)))\/(t**1*t\/(t*t\/((t*t**(-2\/21)*t)\/t))*(t\/(t*t\/(t*t**(1\/2)*t)))**(-1\/7)) assuming t is positive.\nAnswer: t**(-15751\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y. Let i be d(4). Suppose -56 = -i*g - 0*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 10, 0, -2 in descending order.\nAnswer: 10, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 - -24. Let o be 14\/(-35) - 64\/u. Let k = -2 + o. Solve -3*r - k*h = -5 - 21, 5*h - 27 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -259*k - 61. Let v(i) = 285*i + 59. Let w(b) = 5*m(b) + 4*v(b). Differentiate w(o) wrt o.\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660178434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 5*r**2 + 5*r + 8. Let a be i(6). Suppose 3*n = -5*p - 4, -2*p = -4*n + 3*p + 18. Suppose n*s + 0*s - a = 0. Solve x - 2*x = -s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3\/17))**(-1)*(h*h**(-2\/81))**(1\/17) assuming h is positive.\nAnswer: h**(322\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.6003 - 0.3997. What is the second smallest value in 1\/3, l, -22.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 13 - 721*k**2 + 726*k**2 + 0 - 11*k**3.\nAnswer: -11*k**3 + 5*k**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*s**2 - s**2 - 3*s**2 - 3*s**6 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -1\/15  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -467, -936, -1405, -1874, -2343, -2812?\nAnswer: -3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6602.1 - -6602.068271. Round q to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -20078, -40381, -60706, -81065, -101470?\n\"Answer: -2*z**3 + z**2 - 20292*z + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2786.45 - -2844. Let s = -55 + m. Let v = -2.54821 + s. Round v to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3  (b) -8  (c) -0.3  (d) 0  (e) -3\/5  (f) -0.1  (g) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6919 + -4?\nAnswer: 6915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/12*(-78)\/(-4) - 603\/201?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 992952368 to the nearest integer?\nAnswer: 31511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1564 + -1565. Put 5, -49, z, -3 in decreasing order.\nAnswer: 5, z, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of o**4\/24 + o**3\/6 - o**2. Let d be q(5). Let f = d - 9. Let w(s) = -4*s. Let z(v) = -5*v. What is f*w(j) + 2*z(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - -3)\/((-12)\/(-9)). Suppose a*p + 5*t = 44, 0 = 4*p - 0*t - 3*t - 107. Differentiate -11 + 418*k + p*k**2 - 418*k with respect to k.\nAnswer: 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11145137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6846507.006 - -6838518. Let u = v - -7982. Let k = 7 + u. Round k to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 564 and 92919?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27)\/sqrt(81) - (sqrt(432) - (sqrt(432) + (sqrt(432) + -1 - sqrt(432)) + sqrt(432)))**2.\nAnswer: -433 + 73*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -95, -201, -329, -491, -699?\n\"Answer: -2*z**3 + z**2 - 95*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 740.0045g?\nAnswer: 0.7400045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.804429*3\nAnswer: 5.413287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**3\/9 + 1180*f**2\/9 + 2342*f\/3 + 1168 = 0.\nAnswer: -584, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 0*a**6 + 0 + 0*a**5 + 0*a**3 + 1\/12*a**4 + 0*a - 1\/105*a**7 + a**2. What is the second derivative of y(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -571 + 1158. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -89872543 and -0.3?\nAnswer: 26961762.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/13, 5\/6, -0.0458?\nAnswer: -0.0458","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + k - k + (-1 - 2 + 1)*(-1 - k + 1) + 2*k + 1 - 1 + 1 - 1 - 2*k + (3 - 4 + 2)*(k - 4*k + 4*k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1043995, 1043983, 1043971?\nAnswer: 1043959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 976869747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25.012 + -25. Let d = u - 0.112. Let s = 335\/1197 - -1\/171. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/20 in -0.05, -2, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -41646481\nAnswer: -7\/41646481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -6*t + 6. Let v(m) = m - 1. Let x(k) = -g(k) - 4*v(k). Let h(a) = -4*a + 5. Let j(p) = 2*h(p) + 5*x(p). Let q(c) = -4*c. Determine j(q(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*n**4 + 2*n - 6*n**3 + 8436*n**2 + 49*n**5 - 5*n**4 - 8716*n**2 wrt n.\nAnswer: 2940*n**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -511*u + 4748.\nAnswer: -511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5048 - -6536. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 6)*(-2*j + 0*j + 3*j) - 2*j + 5*j + 0*j - j + j - j - 5*j + 4*j - j - 4*j + 2*j + j + (-1 + 1 + 1)*(2*j - 3*j + 3*j) + 301 - 4*j - 301.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -8*l + 52. Calculate the lowest common multiple of 40 and a(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 5*c**3 - 4)*(-1 + 1 - 3)*(0*c + 2*c + 0*c).\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6184\/217 - 73599\/2635. Let n = 4\/119 + q. Let o = -1 - 1. Which is the closest to -2\/7?  (a) 1  (b) o  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269 a factor of 117822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15\/247 - -16339\/3458. What is the common denominator of p and -111\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of 2\/3*v**3 - 4*v + 0 + 1\/2*v**2. Differentiate l(m) with respect to m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -31*q**3 - 2*q**2 - 6*q - 4. Suppose -196*v + 192*v = 8. What is the units digit of y(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -444*d - 80350. Determine s(-181).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a65bb - 24?\nAnswer: -a6601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2.482611 microseconds?\nAnswer: 0.000002482611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -6, -1\/4 in ascending order.\nAnswer: -6, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*q + 85259 + 65006 = -7*q. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 554, 1110, 1666, 2222, 2778?\n\"Answer: 556*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8052 is divided by 1003.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 577945 is divided by 3114.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 7. Find the first derivative of -j*x**3 - 8 + 0 + 5*x**3 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009047847987 to four decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1029317 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (172\/2)\/(7\/(7\/2)). Let u = l - -35. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (400*n + 1481*n - 774*n + 3)*(-3 - 4 - 1) to z*n + g and give z.\nAnswer: -8856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -14, 10, 34, 58, 82?\n\"Answer: 24*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 800*a**2\/7 + 15030*a\/7 - 188\/7 = 0. What is a?\nAnswer: -94\/5, 1\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*w - 6*w - 10*w)*(-9*w**2 + 11 - 11) to s*w + c*w**3 + r*w**2 + h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.04 + 7. Let t = 0.04 + k. What is the second smallest value in 0.5, t, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51.524 + 53.86. Which is greater: -1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 4. Let t = v - -1. Suppose 4*b - 10 = 2*b. Solve r - 5*y = t, -2*y + y = -b*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 10*l**2 - 5*l - 25. Calculate the remainder when o(11) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -z**5\/30 + z**3\/3 - z**2 + 5. Let d(l) be the second derivative of h(l). Differentiate d(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 4*o + 1. Let f be v(4). Let g = 5.0186 + 0.0114. Let t = 0.03 - g. Which is the biggest value?  (a) f  (b) t  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 3, 4\/3, -2.6, 569.7, -0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, j: 10, p: 4, f: 4}. Give prob of picking 3 f and 1 p.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phxly. What is prob of picking 1 p, 1 x, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(9 + -1 - (4 + -1)). Let z = -63 + 59. Let s = 34 - 43. Which is the nearest to 1?  (a) v  (b) s  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/18 and 19\/1270266.\nAnswer: 3810798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1082 - 109?\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -10, -11, 2, 35, 94, 185, 314?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1810 or 3.2?\nAnswer: 1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -17.1. Let d = q + -6.1. Let a = 4.999915 + d. What is a rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -385 = -3*c + 5*x, 2*c + 8*x = 3*x + 265. Suppose 4*d - 2 - c = -4*m, -4*m = -2*d + 42. Factor -20*l**3 - 8 - 2*l - 5*l - 48*l**2 - d*l.\nAnswer: -4*(l + 1)**2*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4513 + 1054. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3516197324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -21.6. Let u = -0.04 + -0.46. Let s = 1.5 + u. Which is the closest to 0?  (a) z  (b) 0.5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k. Let x(o) = 5*o. Let m = 109 - 104. What is m*z(i) - 6*x(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -q**3\/3 - 10. Let v(p) be the second derivative of 4\/3*p**3 + 0 + 0*p**2 - 2*p. Calculate v(c(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 114, 233, 352, 471, 590, 709?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 6*d**2 + 6. Let c = -24 + 41. Calculate the remainder when h(-5) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n**2 - 14. Is 15 a factor of s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2448 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c - 1. Let w be n(-4). Suppose -2*y = w*r - 14, 2*y - 2 = -r + 4*r. Let s be 427\/63 + y\/18. What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = o + o. Let i be 2\/(-7) - (-46)\/14. Let x be (8\/6)\/(-1)*i. Put o, -3, x in decreasing order.\nAnswer: o, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -13*u**2. Let k(b) be the first derivative of 11*b**2\/2 + 169. What is d(k(g))?\nAnswer: -1573*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g. Let l be (-5*4\/(-80))\/2. Let z(c) be the third derivative of -2*c**2 + 0 + 0*c - l*c**4 + 0*c**3. What is z(a(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5181864?\nAnswer: 2, 3, 71, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -83*v**4\/24 - 216*v**2 - v. Let o(h) = 7*h. What is o(x(t))?\nAnswer: -581*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of -3*y**2\/2 + 2*y + 1. Let x(j) = -j. Let p be (-4)\/16 + 26\/8. Suppose -p = -g - 2. What is g*q(d) - 5*x(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 5, -0.4, -992.8.\nAnswer: -992.8, -0.4, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 + 9)*(6 + 1 - 5)*(-3 - 2*a**2 + 3 + (-2 - 2*a**2 + 2)*(0 - 1 - 1) - 36*a**2 - 9*a**2 + 12*a**2) as w + t*a**2 + q*a and give t.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6315 = 3*f - 8157, -24106 = -5*f - l. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 - 6*f + 10. Let k be i(-7). Solve 2*z + 2*d - 6 = 0, -k*d + 4 - 1 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-258)\/43 + (10 - 0). What is the third derivative of 2*v**2 - 24*v**4 + 34*v**4 - 13 + 18*v**n - 2*v**3 wrt v?\nAnswer: 672*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bd - -4?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-6)*(2 - 20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 20254322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21346 + -5.\nAnswer: 21341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -2\/23*n**3 + 12\/23 + 14\/23*n + 0*n**2 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3918 - -926. What are the prime factors of h?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-9)\/(-6))\/(9\/24). Let h be (957\/6)\/(q\/8). Suppose 3*g - 2*g - h = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**5\/60 + 7*r**4\/8 - 6*r**3 - 17*r**2. Let s be q(19). Solve -5*y + s*b - 27 + 2 = 0, 23 = -y + 4*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 3, -1\/3, 1, -0.3, 0.038?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -63\/4031?  (a) -4  (b) -3\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(45\/10) + 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**3 - 3*i**3 + 5*i**3)*(-1124*i**2 + 2015*i**2 + 1599*i**2) + 1 + i**5 + 0*i**5 - 2*i**5 + i - i - 2*i**5 + 3*i**3.\nAnswer: -4983*i**5 + 3*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -18*g - 77. Let r be p(-4). Let h(b) = 3*b - 9. Let n(w) = -2*w + 8. Give r*n(j) - 4*h(j).\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8760403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-9))\/(-6*30\/(-54)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3125*a - 1510895*a**2 + 2 + 1510895*a**2 + 41*a**4 - 2 - a**3 wrt a?\nAnswer: 492*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/35, -0.6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 4*i**2 + i**2 + 1 - 2 - 1 + i**3. Let a be k(-4). Is 430\/a - (-4)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 times 308218?\nAnswer: 40068.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 369600 divided by 3080?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 4. Let g = -74 - -69. Determine t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -115965 + 177818. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 15*b**4\/2 + 54530*b**3 - 145435*b**2\/2 + 18180*b = 0.\nAnswer: -7272, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**2 - 4*o**2 - 2*o**2)*(2*o + 3*o - 3*o) - 37*o**3 + 45*o**3 + 55*o**3.\nAnswer: 59*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 222699?\nAnswer: 3, 19, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1ca8a (base 15) to base 3.\nAnswer: 11202021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000779763 to 7 dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 500 = -2*q, 10*q - 9*q - 397 = 4*p. Let w be 20\/(-7) + 14\/p. Let h(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 2*t**2 + t. Give h(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/2 + 71*c - 1508.\nAnswer: -(c - 116)*(c - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 6*k = -38. What is k rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = 5*v - 5*r, -22352*r + 22368*r + 120 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*n - 5*b, 0 = 3*n - 3*b - 1 - 5. Let o be (4*(-21)\/(-6))\/2. Let y = o - n. Solve -2*j = -2*p + 5*p - 17, 2*j + 13 = y*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 h, and 1 l when three letters picked without replacement from {y: 2, h: 1, l: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114607 is divided by 79?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -616.97 - -615.97. Let k = 0 - -0.2. Which is the nearest to 0.1?  (a) k  (b) -0.01  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4864356631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -11100001110 (base 2) to base 12\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-6))**(-4\/17) assuming w is positive.\nAnswer: w**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 7*p + 5. Let d be r(-7). Suppose d*j - j = 4. Let q = 1 + -1. Which is the nearest to q?  (a) -5  (b) j  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**6\/270 - 79*f**5\/135 + 992*f**4\/27 - 10240*f**3\/9 - 5241*f**2. Let u(v) = 0. What is v?\nAnswer: 15, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*p - p + p)*(-58*p**3 + 3*p**2 - 4*p**2 + 59*p**3 + 3*p) to j*p**2 + w + r*p**4 + m*p + y*p**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 197119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 323794 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 168 - 497\/3. What is the closest to t in 1, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15*z**2 + 15*z**2 - 12*z**3)*(71 - 26 + 48)*(21*z - 2 - 35*z + 23*z) as n*z**3 + x + r*z**4 + d*z**2 + j*z and give r.\nAnswer: -10044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2820 (base 13) to base 14.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3007247 greater than or equal to 3007247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 6. Let f = c + 38. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -10, -9, -12, -19?\n\"Answer: -2*o**2 + 7*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -3, -1, 92 in ascending order.\nAnswer: -10, -3, -1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1*(1 + -5 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60870 and 3270.\nAnswer: 6634830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert d (base 15) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r + 30*r = 13*r. Solve r = -6*g + 81 - 87 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9584*b + 9494*b = -2880 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 4. Let d(v) be the second derivative of -2*v**3\/3 - 2*v**2 - 2*v. What is the units digit of d(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 2*m**2 + 2*m - 3. Let a be z(2). Which is greater: -12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 546.1 - 638.57. Let z = -0.228 - 91.772. Let j = z - n. What is j rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27 + 32. Suppose -2*s - 7 = k, h*k + 6 = s + 26. Suppose -k*n + 51 = 2*l + 2*l, 4*n - 68 = 2*l. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1216, -17, 5, -1\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3*i - 1. Let x(a) = -2*a**3 - 14*a**2 - a + 7. Let l be x(-7). Let z be l\/(-119) - 865\/17. Let m(y) = 25*y + 9. Determine z*k(s) - 6*m(s).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 7 - 136*f**2 + 5*f - 45*f**2 + 182*f**2. Suppose 3*u = 22 - 31. Calculate t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423*i - 1598 + 13182 = -4490 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 198\/162 - 4\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -31*v + 17. Let d(n) = -49296*n. Calculate f(d(h)).\nAnswer: 1528176*h + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 5:16 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 54237.07 grams in nanograms?\nAnswer: 54237070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from sshmshsmsmsms?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - -33 - 40 - -122 - -17.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2 - 45\/(-10). Suppose -5*z = -s*a, -4*a - 5 = -6*z + z. Let p = 2 + -1.5. What is the third smallest value in a, p, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6877866?\nAnswer: 2, 3, 59, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -61312 divided by 3832?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 152770.1 + 10370.9. Let i = h + -163114.0034. Let r = 27 - i. What is r rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -1087*o + 13049. Calculate n(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/2))**(2\/53)\/(l**(-10))**(-34) assuming l is positive.\nAnswer: l**(-18019\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3435 - 3433. Calculate the remainder when 845 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwbjbwjttwtt. Give prob of sequence wjt.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10\/25*(-184295)\/(-29) and 8.\nAnswer: 10168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*h - 1164, -7*n + 5*n = 5*h - 478. Calculate the highest common factor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjoi. Give prob of sequence jjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (50 - -3) + 1 - (-4 - (-1 - -4)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 137.83 to the nearest integer.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 100011111000101 (base 2) to base 9\nAnswer: 27174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 282920035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4643 is divided by 303.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1743 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71294, -71226, -71144, -71042, -70914, -70754, -70556?\nAnswer: -70314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + (0 - 2)\/(-10)*25. Solve 113*i - 3 = 112*i - s*k, -4*k = -i - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -57*1*4\/(-12). Solve 0 = 5*t - g - 13, 2*t - n = -3*t + 3*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*g - 266*g + 120*g - 452*g + 218*g.\nAnswer: -638*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03 + -3.17. Let f = 3.2002 + v. Round f to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26\/5*a - 16\/5 - 3\/5*a**2.\nAnswer: -(a - 8)*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(-4 + sqrt(99) + 5*(sqrt(99) + (sqrt(99)*1 - sqrt(99)))))**2 + -5)*-5*-6.\nAnswer: -108000*sqrt(11) + 2684850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1973 a factor of 231501955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 20 = -x. Let o be -3 - 38\/(-4)*2. Is 15 a factor of -20*-6*x\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.23 + 0.23. Suppose 2*h = -q - 1971, -2*h + 2*q - 1981 = q. Let z = h - -42486\/43. Which is the biggest value?  (a) 2\/9  (b) 4\/5  (c) j  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o + 23*o - 51*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((0*(-1)\/2)\/(-2))\/((-421)\/(-421))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 62 and 1550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 63*a**3 - a**2 - a + 1. Let u be t(1). Let i = u - 928\/15. Let s = 2 - 2. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 5*y - 3283 + 41, 2*v - 3242 = 4*y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23272, -23114, -22828, -22414, -21872, -21202, -20404?\nAnswer: -19478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 20*z**2 - 2*z - 14. Determine n(20).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 6*i**2 + 3*i + 2. Let j(d) = -7*d - 4. Let t be j(-4). Suppose -5*h - 5*y = -20, 3*h = y + 2*y + t. List the prime factors of m(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2. Let p be 5 - (78\/91)\/(6\/28). Let f(t) = t**2 + 4*t + 6. Let u(j) = p*f(j) - 2*a(j). Suppose z + 4*z - 25 = 0. What is u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13175 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*w - w - w)*((8 + 30*w - 8)*(3 - 5 + 3)*(3 - 5 + 3) + 2 - w - 2) to the form b + u*w**2 + k*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three tenths of a tonne in kilograms?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16)\/28*49\/14. What is the second biggest value in -1\/8, -1, -1\/207, -5, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -70, -130, -190, -250?\n\"Answer: -60*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258 - 50 = 8*f. Let d(j) = -8 + 13*j**3 + 7*j**2 - f*j**3 + 12*j**3 - 3*j. Calculate d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.587 rounded to 2 dps?\nAnswer: 3.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**1*b\/(b**(5\/4)\/b*b*b)*((b**(2\/5)*b)\/b)**(-2\/7))\/((b\/b**(1\/4))**(-19))**50 assuming b is positive.\nAnswer: b**(99699\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mkhmkkmhk. What is prob of sequence mhmk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*n + 68*n + 5870 - 1275 + 2929 = 0 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 - (-56 - 59 - -93)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 218368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 5*g + 19 = 0, -2*z - 4*g = 3*z - 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 333835 and 24245.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 24, 2, 7 in descending order.\nAnswer: 24, 7, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -s**2 - s - 35 wrt s.\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.4 - 5. Let p = 3.7 - -0.3. Suppose 0 = -7*o + 4*o + 3. Which is the smallest value?  (a) t  (b) o  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -363*k**3 + 1463*k**3 - 366*k**3 - 361*k**3 - 365*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/13 in -0.4, 5423, 235?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**5 + 79*l**4 + 68*l - 1?\nAnswer: -20*l**3 + 948*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, q: 4, x: 4}. What is prob of sequence xxy?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2682816 and 471.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/6 + 47819512*t**2\/3 - 1143352863959072*t\/3.\nAnswer: -t*(t - 47819512)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 10 = 6*d - 3*d, -d + 3*h = -6. What is i in d*i**4 + 6*i + 9*i**5 + 5*i**4 + 27*i**2 + 45*i**3 - 5*i**4 + 33*i**4 = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1071 and 315.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 (base 7) in base 4?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 118. Suppose -l + f = -447. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101110011 (base 2) in base 15?\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 166200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1101 + -1211220220?\nAnswer: -1211212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + 962696\nAnswer: 962696.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*l + 1233*l + 2305 = -1748*l - 142235 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -27885035 divided by -5?\nAnswer: 5577007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {q: 5, n: 1, r: 1, k: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-1\/29)*b)**24 assuming b is positive.\nAnswer: b**(1368\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 0*h - 10*h)*(-6*h**2 - 3*h**2 + 10*h**2)*(4 - 2 - 3 - 36*h).\nAnswer: 288*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + (1683 - -9)\/(-36).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m + 74. Determine b(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*i = -4341 + 13197 for i.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116967 is divided by 3430.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -2*f + 18 - 6, 2*f - 5*b + 2 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1404 by 4.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + -854?\nAnswer: -85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5404 less than -248853?\nAnswer: -243449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 5*a = -13, w - 3*w = a + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 41139017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/9 - 3040*f**2 - 10396800*f.\nAnswer: -2*f*(f + 6840)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54 and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/160*(9 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/6*6\/21*(-8)\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 73069\nAnswer: -7\/73069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2. Let p(v) = v**3 - 8*v**2 + 8*v - 3. Let u be p(7). Let r(h) = -4 + u + 4*h + 0. Determine r(g(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/((-56)\/(-49)))\/(13*4\/(-104)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 200319857 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -877 + 0*u**3 - 366229*u**2 - 2*u**3 + 366227*u**2 in the form k*u**3 + p*u + q*u**2 + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1110192*i*o**3 + 123390966*i - o**2 + 9*o wrt o.\nAnswer: 3330576*i*o**2 - 2*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2*h - 44, -q + 11*h - 14*h + 14 = 0. What is the third derivative of 2*y**4 - q*y**2 + y**4 - 10517*y**3 + 10554*y**3 wrt y?\nAnswer: 72*y + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhmt when four letters picked without replacement from {d: 1, p: 2, u: 3, t: 4, h: 4, m: 6}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 320?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16838 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -75 + 377\/5. Suppose -4*c - 4 = -3*c + 3*k, -4*c - 8 = 4*k. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98413 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.953652 centimeters to micrometers.\nAnswer: 19536.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 3*p = 8. Let i be -3*(-16)\/336 + ((-2120)\/(-28))\/2. Put 3, p, -1, i in descending order.\nAnswer: i, 3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4755, -6857, -10367, -15291, -21635, -29405, -38607?\n\"Answer: -c**3 - 698*c**2 - c - 4055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -7*l**3 + 13*l**2 + 3. Let a(y) = 7*y**3 - 12*y**2 - 2. Let m(i) = -3*a(i) - 2*q(i). What is the third derivative of m(g) wrt g?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 43*p - 49*p + 11 + 21*p. List the prime factors of d(5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -7, -2, 22, -4, -5 in descending order.\nAnswer: 22, 4, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 7 - 0 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12033211 - 10?\nAnswer: 12033201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 9*p + 32. Suppose -18*g = -5*g + 4*g + 238. What is c(g)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197560 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7767 + 7767 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340 is divided by 87.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(0 + (-6)\/9). Suppose 5*x + a = -17. Put 15, -5, x in descending order.\nAnswer: 15, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + 10*o + 18 = 5*n, -4*o = -n + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 878911 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {z: 1, v: 1, g: 3, b: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -19, -30, -43, -58, -75?\n\"Answer: -z**2 - 8*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.4  (b) 0.3  (c) -1633\/5  (d) 0.4  (e) -1\/324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = g. Which is smaller: g or 22?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003726033805 rounded to 7 decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1904755*m**3 + 3295074.\nAnswer: -5714265*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162646?\nAnswer: 2, 11, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4999288?\nAnswer: 2, 7, 89273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -401 - -405. Which is smaller: k or 42\/13?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2904 by 726.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**3 - 2*q**3 - q**3 - 4*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 - -63. Suppose n*k = 4 - 9. Is (3\/(-15) - k)*1*190 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 244452 (base 6) to base 7\nAnswer: 120326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**3\/3 - 616*k**2\/3 - 26677*k - 78192 = 0?\nAnswer: -432, -181, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/9)\/(((-584)\/4964)\/((-6)\/5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and (-12 - -12) + -3 - 54\/(-2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/15*5)\/((-4)\/7). Which is the smallest value?  (a) -5  (b) 0.1  (c) -3  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11\/33*-2)\/((-10)\/135)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17.56 - -18. Let y = -10 + 10.04. Let f = t - y. Is f less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-24)\/14 - 2*(-3)\/(-21). Let l(v) = 83439*v**2 + v + 2. Let a be l(p). Let x = a - 469756. Round x to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 5:20 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 198794.65 to the nearest 100.\nAnswer: 198800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 697200726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 288283960 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s. Let n(m) = m. Let u(j) = -4*j. Let k(g) = 12*n(g) + 4*u(g). Let w be 7\/2*(-8 - -10). Let l be ((-2)\/6)\/(w\/(-21)). Give l*k(v) - 2*z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 2. Let j be (2\/(-2))\/(x\/10). Suppose 4*k + 0 - 8 = 0. Calculate the greatest common factor of j and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, y: 3, z: 6, m: 2}. Give prob of sequence ym.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7 and 2618.\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 2 + (2 - 1 + 0)*(-2 + 1 + 3) - 1 - 4 - 13)*(3*k - 5 + 5).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1572339*t - 1572752*t = -30975 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + -3 - 9) + 0 + (-11 - -37) + 105.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 27.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288))**2*2*-3.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((4 + -1*sqrt(147)*5)*2 + 3)*-2)**2.\nAnswer: -36960*sqrt(3) + 355704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*z + 94 - 30. Solve -z*l + 14 = 26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((-1*sqrt(266) + sqrt(266))\/sqrt(7))\/(sqrt(18)*3))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 5*a**3 + 5*a**2 - 120*a + 180 = 0.\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-57)\/6)*(48 + (-38 - 20))?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-1))\/((-2)\/20). Let a = 63 + -65. Let n be (-3 - 14\/a)\/z. What is the second smallest value in 3, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 - (14 + -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g + 20. Let p(i) = i. Give p(o(d)).\nAnswer: 2*d + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000308231196 to seven dps.\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(0 - 2\/3). Let j be ((-1)\/(-1))\/(4\/(0 - -80)). Let a be -3*j\/12*-1. What is the greatest common divisor of g and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1920000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 0\/3)\/(-2). List the prime factors of 20 + -3 + (2 - q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**2 + 9*r + 6. Let w be i(-4). Let u be w*(-4)\/32*-2*24. Is u at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/12*(4879\/(-82) + 40).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8271*y**2 + 12018*y**2 - 4*y**3 - 1024*y**2.\nAnswer: -4*y**3 + 19265*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9b9a39 (base 13) to base 3.\nAnswer: -20220211100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = -38*s + 28*s. Is 3 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 432539 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/25 and -41\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(114)\/sqrt(6) + -4*((sqrt(19) + 0 + sqrt(19) - sqrt(19))**2 + sqrt(19)).\nAnswer: -76 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p - 8. Let o be w(19). Let d(k) = 2*k + 2*k + o + 27. What are the prime factors of d(9)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -341629793, -683259585, -1024889365, -1366519127, -1708148865, -2049778573?\n\"Answer: i**3 - 341629799*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 494497 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5040, 4756, 4472, 4188, 3904, 3620?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*c + 28. Let w = -6 + c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430522 (base 7) in base 10?\nAnswer: 74692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 10*w**2 + 10*w - 7. Let j(p) = -p**2 - 19*p - 81. Let d be j(-14). What is v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooocooooc. What is prob of sequence cc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 211033.1 millilitres?\nAnswer: 211.0331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 2*h + 3. Let s be -2 - (-6)\/2 - -13. What is the units digit of (-3)\/((-6)\/s) + h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8490 by 30.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -10*z**3 + 7*z. Let f(v) = 5*v**3 - 4*v. Let t(d) = -5*f(d) - 3*o(d). Suppose 5*w - 39 = -34. Let k be t(w). Solve -l - 2 = -k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -703*p**4\/4 + 2*p**3\/3 + 122*p**2 + 206. What is the third derivative of a(s) wrt s?\nAnswer: -4218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 5, -336785.53?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 716.0943um?\nAnswer: 0.0007160943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1218.2 rounded to the nearest ten?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*x**2 + 35 + x**3 - 34 - 7*x**2)*(-14 + 3 - 1).\nAnswer: -12*x**3 + 252*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(6*((1*sqrt(77) + sqrt(77))*3 + 1*-2*sqrt(77)))\/((sqrt(448)*2 + sqrt(448))*-5*-4).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 11:43 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 3*p**2 + 3*p. Let c be ((-3)\/(-5))\/(1\/5). Let l be u(c). Solve 6 = 3*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*v = -6*l - 25, -3*v - 15 = 0. Let p be (16\/24)\/(3\/(45\/(-2))). Do p and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1229*f + 1068*f - 1771 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 10:33 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -82*f + 31. Suppose -186 - 12 = 9*o. Is x(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2144*s + 733232. What is w(-342)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/114 and 40\/9.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/8*(-4)\/(-7). Let n = 0.14 + -0.14. What is the closest to n in f, -3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -2*o - 2\/3*o**3 - 2*o**2 + 3. Solve z(r) = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13562847 rounded to the nearest ten thousand?\nAnswer: 13560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-65)\/3224)\/(3135\/(-3344))\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/(-6) - -1)*(1 + -7). Suppose k = 10*z - 7. Let w(q) = 35*q**3. Calculate the least common multiple of z and w(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 3*b - 4*g - 16, -2*b = 2*g + 8. Suppose 2*v + i - 30549387 - 50615 = b, v + 3*i - 15300006 = 0. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/16 - (-1711)\/(-348). Which is smaller: m or -0.08?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3155, -6307, -9459, -12611?\nAnswer: -15763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2317 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 323  (b) 0.1  (c) -0.4  (d) -3\/2  (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) + sqrt(300)*3*1)*-5)**2*4.\nAnswer: 480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 99 + -97. Find the third derivative of 3*d**5 + a*d**5 - 17*d**5 - 12*d**2 - 9*d**5 wrt d.\nAnswer: -1260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/34069 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.013, -1, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 32  (b) -5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17 and -14.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from sjjsssjsjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*z + 11 = 0. Let p = z - 7. Suppose -2 = -5*a + j + 4, -p*j = -4*a - 8. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -31 in -2, 1, -357, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220570427.\nAnswer: 7, 11, 17, 167, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 799431865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 4*u - 24, 0*v = -2*u + 3*v - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 3*x**5 - 2*x)*(-9342 - 2973 - 28234 + 5728 - 14012 - 5076).\nAnswer: 161727*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58 + -233\/4. Let j = -11 + 7. What is the nearest to 0.2 in p, j, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -21 + (30 - 15) + 6 + 26\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 10386044.27 to the nearest 10000.\nAnswer: 10390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 25*d - 40. Calculate k(5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -8\/3, 0.2, -2, 14, -626?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1488 and 62992.\nAnswer: 188976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1480 divided by 370\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 711d + 68a?\nAnswer: 77a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of -w**7\/105 - 5*w**6\/24 + 22*w**3\/3 - 279*w**2. Find the first derivative of y(b) wrt b.\nAnswer: -8*b**3 - 75*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*i - 8*i = 18 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 642 or 168445\/262?\nAnswer: 168445\/262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56087698.\nAnswer: 2, 28043849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.7, -1\/1267, 0, 1.5, -1.7 in decreasing order.\nAnswer: 1.7, 1.5, 0, -1\/1267, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21235 and 2055.\nAnswer: 63705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (41 - 34) + 15*(-4)\/(-12). Solve -2*n = -p*n - 15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 66.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, l: 4, e: 9}. What is prob of picking 1 e and 2 l?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -27. Suppose 2*l = h*j + 36, 2*l - 21 = j + 17. Calculate the least common multiple of l and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/1027884 and -155\/280332?\nAnswer: 3083652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2481824 and 3584?\nAnswer: 277964288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 19 - 4. Suppose 0 = -5*x - l + 24, -3*x - l = -v*l - 19. Let f = x - -2. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - y + 2*y)*(3 - 6 - 4) - 61*y - 588*y + 157*y + (-5 + 5 + 1)*(1 + 2*y - 1).\nAnswer: -483*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2135 - -2144. Calculate the remainder when 133 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 519.2986 years in months?\nAnswer: 6231.5832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 103, 374, 683, 1030, 1415?\n\"Answer: 19*p**2 + 214*p - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 344134*u**3 + 344327*u**3 - 688122*u**3.\nAnswer: 339*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/2  (b) 3  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 9*v - 19. List the prime factors of d(-13).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*w**3 - 13*w**3 - 33*w**3 + (1 - 1 + 2*w**2)*(5*w + 0*w - 4*w) as b + r*w**2 + d*w**3 + t*w and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-13)*z**(-2\/71)*z)\/(z\/(z**19\/z)*z**7))**(7\/9) assuming z is positive.\nAnswer: z**(-112\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -71, 15, -0.0364 in decreasing order.\nAnswer: 15, -0.0364, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*n + 4, -5*l - 2*n = -10*l + 44. Calculate the smallest common multiple of 2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aghg when four letters picked without replacement from ggfgahpfaaghgzgpgp?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*i + 5*a = 29*i - 1, -2*i + 7*i + 4*a + 3 - 11 + 1 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*s**4 + 25*s**5 - 8*s**4 + (3*s - 2*s - 2*s)*(-s**3 + 2*s**4 + s**3) + s**5 + s**3 - s**3 - s**5 - s + s.\nAnswer: 23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9550635883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 317 + -315. Solve -t = -4*a - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -743 + 543. Let j = z + 200.0000123. What is j rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 3*s = 6, 0*s - 5*s = -2*z + 32. Suppose 3*j = -5*x - 0*j - 165, 3*j + 135 = -4*x. Does 6 divide (z\/10)\/((-2)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4400 divided by -5?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17673 and 2125692.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-13\/4)*t**(-2\/11)*t**(-1\/11)\/(t\/((t**24*t)\/t)))**(-17\/2) assuming t is positive.\nAnswer: t**(-14569\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*g + 20. Let a be (6\/(-12))\/((-2)\/(-8)). What is the nearest to -0.1 in g, 3\/7, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(54\/(-156)*-13*(-1)\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 14*q - 3708. Which is bigger: 308 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5 = 3*m, 4*k - 34 = -42. What is the third smallest value in 0.4, -1.27, m, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32013106 (base 8) to base 3\nAnswer: -110211120021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9952, -19904, -29856?\n\"Answer: -9952*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 171?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7423 + g**4 - 3661 + 14*g**3 + 2*g**4 - 3689 - g**4 to v*g**3 + k + p*g + w*g**4 + r*g**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j + 1. Let g(v) = 3 + 226*v - 4 - 223*v. What is -3*g(a) - 4*n(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 - ((-77 - (-154 + 84)) + (2 - (3 - 1)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 343982.\nAnswer: 2, 293, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.868 + -0.132. What is the third biggest value in x, 4, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 2)*(2 - l - 2) + (0 + 4 - 2)*(1 - 1 - l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/14 + 0\/(-1). Let w = 822 + -830. Let x = w - -6. Which is the nearest to f?  (a) -2\/5  (b) 0.5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*2\/120)\/((-28)\/896*8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of u**5\/10 + u**4 + 11*u**3\/3 + 6*u**2 - 4*u + 20. Factor d(g).\nAnswer: 2*(g + 1)*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -12*x**3 + 4*x**2 + 3*x + 1. Let y be o(-2). Let l = 31 + y. Let g = l - 82. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 20\/(-11)) + -2. Let k = -0.015 - -6.415. Let u = k + -6.6. Is u smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) -6  (c) 5  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 161266284 divided by -218518.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -35821, -142376, -319569, -567394, -885845, -1274916, -1734601, -2264894?\n\"Answer: j**3 - 35325*j**2 - 587*j + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3309 - -1214?\nAnswer: 4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/28)\/((-2)\/(-8)). Suppose j + 2 = -h. Let g(u) = 0*u - 2*u**2 + 6*u**2 + 3 + u**3 + 5*u. Determine g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2482 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -260 - -138. Let d = -117 - g. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10013, -9937, -9851, -9749, -9625, -9473, -9287?\nAnswer: -9061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8  (b) 2  (c) -3\/5  (d) 3  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + t + 43 = 0, q + t - 7 = -18. Let g = 19 - q. Let n = -26 + g. Sort -17, 3, n in descending order.\nAnswer: 3, n, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/15 + 20\/6. Suppose 2 + 10 = n*l. Solve -2*g + 7*g - 19 = l*d, g - 14 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1831148*j - 1831146*j + 3662295*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 10*k - 105. Let z be g(11). Solve -o + 16 = -z*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13652 - -13696. Solve -22*d = 22 - f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5412, -5441, -5470, -5499?\nAnswer: -5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by 1632?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 times 11.15?\nAnswer: 144.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/((400\/(-30))\/20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -12, 3*o + 0*o + 3*l = -3. Let p = 18 + 3. Suppose p = 4*y - o. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -8.39  (b) 2  (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-619 - -592) + 31 + 3 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**5\/5 + 53*n**4\/5 + 121*n**3 + 315*n**2.\nAnswer: -n**2*(n - 63)*(n + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 299*r**2 + 59*r wrt r?\nAnswer: 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2. Let u be l(-2). Calculate the common denominator of (-122)\/(-40) + -4 + -8 + 8 and ((-10)\/(-12))\/(u\/(-36)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -25 in 5, 235, -0.3, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (-4 + 4 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 11*a**2 - 1. Let p be d(-1). Let n = 18 - p. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 34\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-1762)*(-7)\/20*(-75)\/210. What is the second biggest value in -4\/3, d, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/18007 and -9\/11459.\nAnswer: 126049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 31*z + 62. Let r be (3\/(-12))\/((-2)\/72) - 1. What are the prime factors of x(r)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16196 * -0.3\nAnswer: -4858.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 164634 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -438 - -434. Let w(m) = -2*m**2 - 4*m. Suppose -5 = -4*c + 3. Let a(j) = 0*j + 2*j**2 + 5*j + 0*j**c. What is n*a(o) - 5*w(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 124 - 57. Suppose 5*w - 115 + 30 = 0. Suppose -w + m = 5*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**2. Let n(k) = 3*k**2 - 1299*k + 4. Let x(v) = 7*v**2 - 2608*v + 9. Let u(q) = 9*n(q) - 4*x(q). Calculate u(r(o)).\nAnswer: -4*o**4 + 2518*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45352 = -1224*b + 1216*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 175.336kg to milligrams.\nAnswer: 175336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/190 and -17\/790.\nAnswer: 15010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(256)*-1)\/(((sqrt(784) - ((sqrt(784) - 2*sqrt(784)) + sqrt(784))) + sqrt(16) + sqrt(16))\/sqrt(2)) + -2.\nAnswer: -2 + 8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4*v = 2780, 0 = -4*x + 13*v - 8*v + 2771. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-33.1.\nAnswer: 13.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and -23.74.\nAnswer: 142.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/819 and 23\/217924.\nAnswer: 25497108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1220793?\nAnswer: 3, 7, 61, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48 + 69. Let x = 15 + -13. Let r be ((-18)\/f)\/(x\/(-14)). Solve -t - a + 4 = 0, 3*t + 5*a + r - 20 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1692702 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1431 and 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(3) + -2*sqrt(3) + 3 + (sqrt(3) - (sqrt(3) + -1)**2).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -65240379 minus -0.2?\nAnswer: -65240378.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-31*(-58 - (-3068)\/52).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**3 + 21*d**2 - 36*d = 0. What is d?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56 - -43. Let p = 24 + z. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 6\/5)\/((-6)\/(-60)). Let j = -31\/4 + c. What is p in j*p**2 + 9\/4 - 3\/2*p = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10125211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -47*i**2 - 6771*i - 106963. Calculate p(-126).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-16)\/(d\/d**0))\/((d**(-7)\/d)\/d*d*d\/d**(2\/15)*d) assuming d is positive.\nAnswer: d**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (1 - (-21 + 13 - 8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/3)\/p)**(1\/32))**(-20) assuming p is positive.\nAnswer: p**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/46914 and -101\/690306.\nAnswer: 4832142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -14*y**3 - 8*y**2 - 8*y. Let t(k) = -9*k**3 - 5*k**2 - 5*k. Let o be -2*62\/(-16) - (-9)\/36. Calculate o*t(i) - 5*b(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*c**4 + 3*c**4 + 5*c**4 + (4*c**2 - 2*c - 6*c**2 + 7*c**2)*(4*c**2 - 4*c**2 - 2*c**2) in the form y*c**2 + o*c + v + f*c**3 + k*c**4 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14*((-1 - -3) + 2) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 8:13 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47666, 95324, 142956, 190550, 238094, 285576, 332984, 380306?\nAnswer: 427530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/(-9))\/(2\/3). What is the greatest common factor of 14 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13b8915 - -2?\nAnswer: -13b8913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-30)\/48)\/((-6)\/8). Let i = -5\/376 + -2201\/4136. Which is the nearest to -0.3?  (a) i  (b) w  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50 - -69. Calculate the remainder when 72 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - (0 - 18)) + 0 + -7 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -91 times 357.8208\nAnswer: -32561.6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-2\/7)*a*a)\/a*a*a)\/(a\/(a**7*a))*(a**(-2\/9))**(-49)*(a**(-2))**22\/(a**(-7)\/a**(1\/3)) assuming a is positive.\nAnswer: a**(-949\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-10) + (-104)\/(-130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10.01 + 111.79. Let o = 122 - c. Let j = -3 - -2.6. Do o and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, s: 4, t: 1, p: 2, k: 5}. Give prob of sequence svts.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1726249*d**5 - 149784*d wrt d.\nAnswer: -34524980*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -97707, -196492, -295273, -394050, -492823, -591592?\n\"Answer: 2*o**2 - 98791*o + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -99 + 104. Let t be 4\/(-8)*(1 - 9). Solve 3*y - 5*y = t*c + 14, -4*y = b*c + 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37030431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -28, -57, -76, -85, -84?\n\"Answer: 5*h**2 - 44*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -500641 divided by 1?\nAnswer: -500641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 237.9822 + 0.0178. Let d = 237.94 - i. Are d and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 823*b - 12319 - 8256 = 0 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 3*u**5\/5 + u**3 + 73*u**2\/2 - 12. What is the second derivative of y(g) wrt g?\nAnswer: 36*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 18*d + 6. Let m be j(-3). Let c be (m\/20)\/((-6)\/(-20)). Let t(w) = -w**3 - 4*w**2 + 3*w - 13. Does 35 divide t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1009584, -1009582, -1009580, -1009578?\nAnswer: -1009576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27906.66 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2693 - -14491?\nAnswer: 11acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -559\/114 + -5\/19. Calculate the common denominator of z and 67\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 627404.\nAnswer: 2, 109, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(429) + (-6*(sqrt(429) + sqrt(429)*2) - sqrt(429)))\/sqrt(11))\/(3*sqrt(216)\/sqrt(8))*-4)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6815 + 38093.27.\nAnswer: 44908.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242)*1*-4*1)**2*5 - ((sqrt(162) - (2 + sqrt(162) + 0)) + 4).\nAnswer: 19358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5*v**4 + 5*v**3 + 7*v**2 - 5*v + 2. Let u(d) = -d**4 + d**3 + d**2 - d + 1. Let k(g) = -20*u(g) + 5*x(g). Determine j so that k(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 2:17 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 76 + 48. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15604 rounded to three dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3352857024?\nAnswer: 2, 3, 11, 1587527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**3 - 2 + 0*f**3 - 11*f + 13*f to k*f**2 + s*f**3 + b + a*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -w. Suppose w*v = v - 1. Suppose l = -v + 6. Solve 5*i - 3*o = -0*i + 22, -l*i = 5*o - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = f + 3*f - 15, 2*g - 3*f = 8. Let j(x) = -4*x**2 + 1 - g*x + 2 + 3*x**2. What is j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1220 + 2610. What is the greatest common divisor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 3 - (-7 + -2)) + (35 - 89)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 227570859 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + r - 209 = -4*l, r + 148 = 3*l. Let m = 68 - l. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -2*w + 412, -272 = -2*s + 4*w - 56. Let q be 14\/63 + s\/18. Solve q*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 268599934*b**4 + 476825930*b?\nAnswer: 3223199208*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -n - 2, 57*n = 2*r + 61*n + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r + 215. Let s be z(0). Let f be 15\/(-3)*(-308)\/(-10). Let d = s + f. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/5 - (-3)\/15. Let r = 130.7 - 131. Which is the second smallest value?  (a) k  (b) r  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2556297?\nAnswer: 3, 439, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1513 and 120343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyvv when four letters picked without replacement from vvvyvyv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 103 and 74?\nAnswer: 7622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -81*x**2 - 23*x - 32. Let i(c) = 37*c**2 + 12*c + 15. Let s(a) = 9*i(a) + 4*u(a). Let y(j) = -8*j**2 - 15*j - 6. What is 6*s(q) + 7*y(q)?\nAnswer: -2*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1895972759 and 20498?\nAnswer: 10249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -7*x**2 - 89*x + 366. Give p(4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 20\/91 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 623?  (a) -0.4  (b) 16\/5  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50107494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 5*(36\/(-5))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ixxxxhxhhixxihi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 590 divide 311361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9 - 9 + 3*j + (-2 - 3 + 4)*(1 - 5*j - 1) - 2*j + 24*j - 6*j + (0 - 2 + 1)*(5*j - j - 2*j) + 0*j + j + 0*j - j + 1 - 1.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8732\/582 + -15)\/((-1)\/3)*241. Which is greater: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*r + 17. Suppose r*n = 2*n + 51. Suppose 0 = -7*d + 5*d + 102. Calculate the greatest common divisor of n and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -830?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1229 divided by 1?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 6 - 2301*f + 2301*f - 1384*f**2 as w*f + n*f**2 + t and give n.\nAnswer: -1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 28  (b) -9\/5  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - ((-15)\/(-25))\/(36\/108)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -215695.9445731.\nAnswer: -215690.9445731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-15)\/x)\/x*(x\/(x**12*x))\/x assuming x is positive.\nAnswer: x**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 260*h**3 - 8919*h**3 + 8662*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 q, and 1 w when three letters picked without replacement from {f: 8, u: 2, q: 4, w: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -299854*g - 1799109. Give t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18010 is divided by 1801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16408668 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -22*u**2 - 449*u - 6473. Calculate o(-14).\nAnswer: -4499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -5*g + 1. Let s(a) = 24*a. Give i(s(l)).\nAnswer: -120*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b - 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/28 + 90\/(-21). Let h(w) = 3*w - 5. Let a(n) = 2*n - 3. Let m(z) = 7*a(z) - 4*h(z). Give m(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/(-20) - (-22)\/(-40)) + (-26)\/(-24). Let g = 34\/21 + -2\/7. Suppose -g*l**2 + l**3 + d*l + 0 = 0. Calculate l.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42 + 11 + -3 + (91 - 79).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2 + sqrt(19) + 2 + 0)**2*3.\nAnswer: 48*sqrt(19) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8060990 + -3240990. Round s to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -279 = -5*m + 2*m - 3*o, -280 = -3*m - 4*o. Let i be (-3 + -1)*(m\/16 + -5). Sort -17, i, 2 in descending order.\nAnswer: 2, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*j - 94 = 6*j, 92 = 3*c - 2*j. Let x = -252 + 371. What is the remainder when x is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 12 = 21. Suppose -p*c + 99 = 9. Calculate the highest common factor of c and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1340812325\/5096 - -1052443\/4. Calculate the common denominator of 101\/18 and b.\nAnswer: 45864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12432202 (base 5) to base 10.\nAnswer: 124052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -4*d. Let v be j(-4). Suppose n + v = 3*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + 7*n**2 + 6*n**2 + 34.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 116*o**2 + 17*o. Let q(z) = -39*z**2 - 6*z. Determine -6*j(a) - 17*q(a).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/3 - (-16)\/(-24). Suppose 3*u + 1 = 7. Let v be ((-6)\/(-15))\/(2\/u). Is i <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 87 + -203. Let q = u - -72. Let w = -42 - q. Which is the second biggest value?  (a) 1\/2  (b) -0.09  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 - 0.18. Which is the biggest value?  (a) 3\/4  (b) 0.2  (c) 0.4  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*1\/((-18)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7 - 2\/7*h**2 - 1\/7*h**3 + 1\/7*h.\nAnswer: -(h - 1)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-1\/27)*w))**(-9) assuming w is positive.\nAnswer: w**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/138 and 28646\/(-39240) - (-4)\/10 - (-420)\/1890.\nAnswer: 30084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -87  (b) 92  (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -4922430.27 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-seven quarters of a kilometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -64 + 23. Let c = j - -114. Suppose -5*s + c + 37 = 0. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 106, 90, 90, 112, 162?\n\"Answer: v**3 + 2*v**2 - 29*v + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 211262648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1710 and 151\/9234.\nAnswer: 46170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057) + (sqrt(2057) - sqrt(2057)*-5))*3)**2.\nAnswer: 907137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1156 + 60.0156. Let x = -60 + n. Which is the closest to x?  (a) 0.1  (b) 4  (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26369190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*v - 444 - 676 = 0. Calculate the greatest common divisor of v and 928.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -4. Let g = -5 + n. Let t(u) = u**3 + 25*u**2 + 115*u + 15. Let x be t(-19). Which is the third smallest value?  (a) x  (b) g  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 - -0.22. Let p = 0.58 + j. Which is the third smallest value?  (a) 3  (b) -0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14778, -29512, -44248, -58986, -73726?\nAnswer: -88468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/9220 and -127\/709940?\nAnswer: 709940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 12*r**2 - 8*r + 25. Let u be s(-11). Let m(i) = 2*i - 20. Let g be m(11). Is 17*2 - -12*g\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -563 - -567. Let d(o) be the second derivative of 0 + 0*o**3 - 7*o + 1\/3*o**w - 2*o**2. Factor d(z).\nAnswer: 4*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/6*6\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4*((663\/12)\/17 + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 810892*t + 1. Let j be b(-7). Let x = j - -976243. Round x to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 60 = -10*s. Suppose 204 = 2*t - s*t - 3*x, 4*t - 2*x = -184. Let v = t - -51. Solve m - v*m = -3*d + 10, 4*d + 15 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.7 - -6.6. Let g = 0.1 + i. What is the closest to g in -0.2, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109 + 2*k - 503 + 74.\nAnswer: 2*k - 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1478.05134 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -5\/4  (b) 5  (c) -16.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*c**2*k - 52169925*c**2 + 2860*c*k - 7410*k wrt k.\nAnswer: -2*c**2 + 2860*c - 7410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*p**2\/13 + 5254*p\/13 - 1578\/13.\nAnswer: 2*(p + 263)*(10*p - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 - 3*x**2 + 3*x**2)*(3 + 0 - 5)*(-4721 - 4420 - 7472 + 1941).\nAnswer: -29344*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 37909014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15\/8 in -2, 7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1813143 is divided by 604362?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -36*x - 40*x + 72*x. Let a(y) be the first derivative of 3*y**2\/2 + 1. What is a(r(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5*h = 5*j - 23, -j - 4*h = -14. Suppose 0 = 5*p + 5*a - 15, -5*a = j*p + p - 3. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-20)\/(-6)*(-18)\/(-15). Suppose -63 = 4*a - 331. What is the remainder when a is divided by 1 - (-30 + (l - 7))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (-7)\/(469\/90). Let r = 33\/1072 - w. Let j = 2199\/8 + -276. Calculate the common denominator of j and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/451 + -936\/7667. Let v be (-412)\/(-1545) - (-2)\/(-3). Sort v, s, -3, 10 in descending order.\nAnswer: 10, s, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1665666 by -555222.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -14400\nAnswer: 1\/7200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/3 - 58*k**2\/3 + 2886*k - 8466.\nAnswer: -2*(k - 51)*(k - 3)*(k + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10 + c46ca?\nAnswer: c470a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 839 in 0.1, -0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - h. Let v(w) = 3*w**2 - 6675*w + 15*w**2 + 6683*w. Calculate -8*j(n) - v(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 1:24 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-9) + (-294)\/63. Put l, 5, -50 in increasing order.\nAnswer: -50, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.950721 to 2 dps.\nAnswer: -8.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 24 = -5*n, 4 - 9 = n. Let x be (-4)\/8*(-2 + 6). Let o(i) = 2*i + 0 + 0*i - 3. Let l(b) = b**2 - b + 1. Give w*o(g) + x*l(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -230, -244, -266, -296, -334, -380, -434?\n\"Answer: -4*h**2 - 2*h - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2712 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -9*q. Let i(w) = -461*w. Calculate v(i(a)).\nAnswer: 4149*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-16))\/((-24)\/(-192))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 888 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -14*n**2 + 3086656*n - 1322850 = 0. What is n?\nAnswer: 3\/7, 220475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 15) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50)\/(2*sqrt(125)))\/(-3*sqrt(4)\/sqrt(162)))**2*-1.\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j + 11. Let n be g(7). Suppose 0*v - 35 = 2*v - 3*w, v + w = -5. Let b be n\/10 + (-6)\/v. Solve -i = -2*c + b, -3*c + 2 + 5 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 68044.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/22692 and -95\/838488.\nAnswer: 51147768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 13 - (2 + -3 + 0 + 0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 184\/32 - (-2)\/8. Let c(n) = -5*n**3 - 6*n**2 - 2*n + 7. Let b(j) = -j**3 - j**2 + 1. What is m*b(i) - c(i)?\nAnswer: -i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4469, 4874, 5519, 6398, 7505?\n\"Answer: -o**3 + 126*o**2 + 34*o + 4310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35497982 to the power of 1\/2, to the nearest integer?\nAnswer: 5958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c - c + 2*c + (7 - 4 - 4)*(-3 + 3 + 2*c) + 5*c - 3*c - 3*c - 2*c + 2*c + c - 4*c - c + 4*c + 2*c + 0*c - c + 19 + 18*c - 19 - 2*c + c - c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b - 1. Let s(l) = 2*l**3 + 8*l + 6. Suppose 0 = 2*d + 2, -2 = 3*u + 2*d + 3. Let f(a) = u*s(a) - 8*x(a). What is the derivative of f(w) wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1212 = -3*t + 4*z + 741, -2604 = -4*t + 2*z. Calculate the greatest common divisor of t and 3689.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -20, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1104*h + 857*h - 239*h - 1415*h.\nAnswer: -1901*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2791*b**2 + 11*b - 3. Let v(s) = 1398*s**2 + 4*s - 1. What is -2*c(l) + 5*v(l)?\nAnswer: 1408*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*t*w**3 - 68*t*w**2 - 153*t*w + 41*t + 537525*w**2 - 236*w - 4 wrt w.\nAnswer: -12*t*w - 136*t + 1075050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14*15\/(-1890)*11*3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -5*c**2 + 216*c + 54. What is z(42)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 4:51 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f**5 + 5153888*f**4 - 37795664*f**3 + 68719576*f**2 - 44667772*f + 8589960 = 0. Calculate f.\nAnswer: -429498, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 13*y**3 - 87*y**2 - 16*y + 6. Let v be m(7). What is the nearest to v in 3\/4, -2\/11, -2, -1.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 - (6\/(-2) - 0)) + (-277 - -431). Solve 35*h = q - 431 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 - (3 - 69 - -41)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 19*j + 25. Let x(w) = w**3 + 11*w**2 - 15*w + 5. What is the remainder when x(-12) is divided by o(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46129.43 litres to millilitres.\nAnswer: 46129430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c - 13*c + 26*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -217 + 227. Calculate the remainder when 429*2\/10*j\/6 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2226 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-114)\/(-76))\/(6\/4028)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -361\/17 + 671\/34. Which is the smallest value?  (a) 1\/5  (b) 5  (c) l  (d) 3  (e) 205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 491435882 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*o - 52*o = 39*o + 24, 134 = -10*t - 9*o for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/19)*(i*i**(-8\/9)*i)\/i)\/(i**3\/i*i**(-11)))**(-8\/3) assuming i is positive.\nAnswer: i**(-12608\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 217477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k**3 + 0*k**3 - 22 + 14*k + 28 + 3*k**3 - 8*k**2. Let u be j(6). Calculate the greatest common factor of 198 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 4:41 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 52\/5 of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 - 35. Suppose 2*b = p + 13 + 12, j = -5*p. Let u(f) = -13*f**3 - 15*f - 11. Let s = 15 + -9. Let o(h) = 7*h**3 + 8*h + 6. Determine b*o(n) + s*u(n).\nAnswer: -n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 170 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 5*j**2 - 4*j - 5. Determine i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1283018203 and -0.033.\nAnswer: -1283018203.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(192)*-4 - sqrt(192)) + sqrt(192) + sqrt(192))\/(sqrt(4) + sqrt(32)\/(-4*sqrt(8)) + sqrt(4)).\nAnswer: 80*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**3 - 6*k**3 + 34 - 34 - 2*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 861296*h*w**4 - h*w**2 + 4*w**2 + 4004 wrt w?\nAnswer: 20671104*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2186, 4361, 6496, 8573, 10574, 12481, 14276, 15941?\nAnswer: 17458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 1 - 3. Solve 4*f - 3 = s - j, 2*f - s = 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40.92 times 0.2\nAnswer: 8.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 4:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, -110, 1, 27.\nAnswer: -110, -6, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-8 - (-5 - -4)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17 and -11019.06.\nAnswer: 187324.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 224\/(-280)*15\/18*-9*6\/(-18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 4, 2, 236013 in descending order.\nAnswer: 236013, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000778854 rounded to 6 decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**3 + 4*k**2 - 36*k + 6. Let h be q(-8). Let l be h\/2*((-14)\/42 - 0). What is the greatest common factor of 1027 and l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**4 - 162130*n**3.\nAnswer: -5*n**3*(n + 32426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52405 is divided by 3110.\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 8*w - 2. Let o be v(1). Suppose 4*t - 13 = 5*q - 8*q, -o*t = -q - 21. Let p(n) = 5*n**3 + n**2 - 1. What is p(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34168*q**5 + 225*q**4 - 45*q**2 + 1264939 wrt q?\nAnswer: -2050080*q**2 + 5400*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of (-7*15\/20)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p**3 + 0*p**2 + 0*p**2)*(-4*p + 0*p + 6*p) + 4*p**2 - p**2 + 1 + 10*p**4 - p**2 - 2*p to a*p**2 + q*p**4 + b + m*p**3 + t*p and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3190)\/44*-2*1. Let j = 149 - q. Solve -a = 3*a - j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -295*d = -4699192 - 4500088. What is the greatest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 65 = -59 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 36\/4*(-1)\/(-3). Let i be g\/12 + 27595\/20. Suppose -7*j - i = -j. Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u + 4. Let i(m) = -m - 5. Let c(p) = 4*i(p) + 5*o(p). Let b(t) be the first derivative of 5*t**3\/3 + 2. Determine b(c(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 29353 and -7894.\nAnswer: -231712582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 1792.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -5  (b) -10\/7  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16335 greater than or equal to 16206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 6722813921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m + 16. Let z be 8*(7\/(-2) - -4). Calculate the lowest common multiple of 6 and a(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 2\/9  (c) 0.3  (d) 5  (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 505336 and 2779348.\nAnswer: 5558696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -154057 or -1232449\/8?\nAnswer: -1232449\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbwbwbbbbwbwwuwbbwb. Give prob of picking 4 w.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 911*x + 8600 = 51*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26110, 104217, 234406, 416683, 651054?\nAnswer: 937525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*d = -74 - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -99.3 and 0.4.\nAnswer: -39.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 264991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b**15\/b))\/b*b)**46\/((b\/(b*(b*b**8)\/b))\/b**(1\/14)))**(-18) assuming b is positive.\nAnswer: b**(74331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2112100 + 13013?\nAnswer: 2130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -4*j**2 - 73*j - 25. Let v(l) = 184*l + 2006. Let x be v(-11). Give w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of 0*g**4 + 0*g + 5\/12*g**6 - 31*g**2 + 15\/2*g**3 + 0*g**5 + 0. Differentiate r(z) with respect to z.\nAnswer: 150*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51961 = 2463*d - 92906 - 2913 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*m - 35*m + 5*m to the form l + r*m and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 86\/59 + -4494\/3245. Calculate the common denominator of 41\/20 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 1182, 0.2, 7, 3\/11, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -6857515 smaller than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14291079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-10))**(-1\/4)*s\/(s\/s**(-16))*s**(-1\/7) assuming s is positive.\nAnswer: s**(-191\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -14. Solve 2*h + v*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(4\/9))\/l*l)\/l**(-1\/33) assuming l is positive.\nAnswer: l**(58\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11040 - 103?\nAnswer: -11143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 6*a - a. Suppose a*t + 16 = 6*t. Put 5, t, -2\/9 in descending order.\nAnswer: 5, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 6 = 0, t - 8 = -3*y + 4. Suppose 0 = -5*s + 4*s + 4*q + 1, -s = -5*q + 2. What is the least common multiple of s and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 - 49. What is the common denominator of (1064\/(-36))\/(x - 1) and 10\/(-130) + 295\/(-52)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**3 + 6*k**3 - 3*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 4.132 and -26.8492.\nAnswer: -22.7172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -957 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_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: Collect the terms in -13*i + 9*i + i - 12*i - i + 0*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -447 by 2085784.\nAnswer: -447\/2085784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 4*q + 34, 4*q - 1 = -3*u - 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66165.16 grams to tonnes.\nAnswer: 0.06616516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 o when three letters picked without replacement from oooloolloooo.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4*h + 0*h = -8, -3*h = 2*a - 20. Put a, -4, 82 in descending order.\nAnswer: 82, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 2 + 26*p + 9*p + 7*p - 3*p + 20.\nAnswer: 39*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/287, 3\/8, -2\/7, -111 in descending order.\nAnswer: 3\/8, -2\/287, -2\/7, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (98\/35)\/(2\/2600). Suppose -j = -99*d + 94*d. Does 74 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 81 - 78 = 0. Let r = t + 220. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2 = -2*b - 1, 3*b = -5*s + 54. Let u be 1086 + 1 + s\/(-3). Suppose -506 = -6*z + u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -4*d - 7, -2*d + 5*d = -3*a - 9. Let g(t) = -4*t - 3. Let w be g(-2). Solve 3 = w*k - d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.51703 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(1*8\/(-48))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1551 - -2195. Suppose 14*g = 18*g - w. What are the prime factors of g?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 6*p**2 - 6*p + 3. Calculate z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23 and 7?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i\/i**(-6\/5))*i**3*i\/(i\/((i*i**(2\/3)\/i*i)\/i))*i**(4\/3)\/i assuming i is positive.\nAnswer: i**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8165879?\nAnswer: 8165879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 - 35. Suppose t + 5*v = -3*t - 17, -6 = 2*t + 2*v. Calculate the least common multiple of t and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = z + 49*x - 47*x, 0 = -3*x + 12. Let j(s) = -8*s + 11. What is j(z)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314 = -65*h + 54 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -105 - -104. Which is the second biggest value?  (a) 0.4  (b) -2  (c) 3  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 205 - 140. Find the second derivative of 77*j**3 + 0*j - 23*j - v*j**3 wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of a**4\/4 - a**2\/2 + a. Let d be (4 - (2 + 2))\/(-2). Suppose d = 43*m + m - 88. Give s(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2175 smaller than 2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 546, -5, 1, -1, 0.\nAnswer: -5, -2, -1, 0, 1, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 4*q - 24 = 0. Let h(w) be the second derivative of q*w + 1\/3*w**3 + 0 + 0*w**2 + 1\/2*w**4. Find the second derivative of h(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 5:25 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-7.3253.\nAnswer: 21.9759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 709180 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1739308522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -7759112?\nAnswer: 7759116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2819888 times -0.2\nAnswer: 563977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26315360 and 320.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i + 8. Let l(h) = -h. Determine u(l(f)).\nAnswer: -f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -343\/200 - -9\/100. Calculate the common denominator of l and 1\/(3*1\/(-61)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l - 4821 - 795 = 96*l for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2110238 + -0.5.\nAnswer: 2110237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -910 + 1036. What is the smallest common multiple of 54 and h?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 344 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 113362 (base 7) to base 4\nAnswer: 10333030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8317, -16633, -24951, -33271?\n\"Answer: -v**2 - 8313*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19577473.\nAnswer: 19577473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -405*h + 8470. Calculate o(20).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4726, 19058, 42994, 76534, 119678, 172426?\nAnswer: 234778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 11 + 14 = 0, -y + 4*t - 2 = 0. What is the remainder when 126 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61194631?\nAnswer: 317, 193043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*q + 12 = 0. Solve 15 = 7*u - q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 17 + 9 = 0. Let r be 26\/6*(-30)\/20*2. Let g be 6\/8*(-52)\/r. Which is the nearest to -2\/15?  (a) u  (b) 4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -848, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1904\/5, 3, 2\/17, 2\/3, 0.1, -44 in decreasing order.\nAnswer: 1904\/5, 3, 2\/3, 2\/17, 0.1, -44","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Express -149*r - 12*r**3 - 149*r + 299*r + 3*r**2 + 1 as n + k*r**2 + u*r + y*r**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.087 + 3.787. What is the fourth smallest value in 15, -0.4, -2, j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 0.01  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d. Let t = -17 - -20. What is k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 426 = -194*g + 336*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - -10. Let b(p) = p**2 + p - 1. Let t(w) = 3*w**2 + 4*w - 5. Let z = 5 + -5. Suppose r + 2*l - 5 = z, -3*l + 3 = -3. Determine m*b(k) + r*t(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -3, -2, 2.69?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -118*w + 121*w. Let j = 33 + -28. Put w, j, -1, -2 in ascending order.\nAnswer: -2, -1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.2601 and -2.\nAnswer: 2.5202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27556479 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 3.7, 126, -0.04, -2\/3.\nAnswer: -3, -2\/3, -0.04, 2, 3.7, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -3. Suppose 2*u + u = 0. Suppose -10 = -u*m - 2*m - 3*h, 10 = 2*m + 5*h. Sort v, m, 3.\nAnswer: v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 divided by 893119\nAnswer: -21\/893119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 5*y**2 + y - 9. Let n be b(-4). Suppose -w = -d, -4*d = -3*w + 8*w + 18. Put n, -5, d, 0 in ascending order.\nAnswer: -5, d, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * 1.4443378.\nAnswer: -24.5537426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*s = 4*m - 2656, -2*m + 4*s = -1324. Suppose 0 = -2*z + 2*h + 1308, 5*z - z + 5*h - 2580 = 0. Suppose -4*o = -z - m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - (1 + -1*1616). Suppose -6460 = -i - 3*i + 5*o, -i + o = -s. Round i to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -529906, -1059782, -1589648, -2119498, -2649326, -3179126, -3708892, -4238618?\nAnswer: -4768298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5725, 11587, 17591, 23737, 30025, 36455, 43027?\nAnswer: 49741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -1, 1 in decreasing order.\nAnswer: 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = -4*x + 4*l + 303, -25 = -5*l. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -5*z + 5. Let r(q) be the third derivative of -q**4\/24 + q**3\/6 + q**2. Let a(b) = 6*r(b) - t(b). Find the first derivative of a(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 2*g - 22*g - 3 + 5 to j + h*g and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 PM and 12:06 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 0. Suppose -161 = -v*k - 0*y - 5*y, -200 = -5*k - 5*y. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**4*p**2 - 92894*g**2*p - 3*g*p**2 - 139375*g wrt g.\nAnswer: -24*g**2*p**2 - 185788*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 14665 (base 9) to base 2\nAnswer: 10011100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000680712259 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b - 9. Suppose -3*l + 5*x = -3, 24*l - 5*x = 29*l + 35. Let t(n) = -n - 2. Give l*j(g) + 18*t(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -76 - -78 - (1 - -6) - 27?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -125. Let w = h + 57. Let l = 25 + w. Solve 0 = -4*d + l + 3, q = 4*d - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*v - 26 = -140*v. Let y = -1 + 1. Which is the second biggest value?  (a) -4  (b) v  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004598087 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-65)\/(-195))\/((-128)\/(-192)*2\/(-172))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4808383543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3139 + 2010 = 132*f - 527 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 31, 163, 375, 661, 1015, 1431, 1903, 2425?\n\"Answer: -h**3 + 46*h**2 + h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4322 + -542309?\nAnswer: -542310.4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -o**3\/3 - 5*o**2\/2 - o - 2. Let l be q(-4). Let h be 4*(0 + l\/6). Solve -3*y + 11 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*a - 187 + 13 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/30)\/(4\/(-3))*6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 7. Let j = v + -6. Which is the third biggest value?  (a) j  (b) -3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24286 (base 10) to base 9.\nAnswer: 36274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2510288 divided by -44.\nAnswer: -57052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/13, 5\/6, 0.5, -0.5, -0.2, -1.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 58 + -19. Suppose -a = -c - 2*c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnluuljg. What is prob of sequence ugnl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 312 divided by -78?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/5))**(-38)\/(p*p**5\/p*p**3\/p*p))\/(p**(-5)\/p**(-1)*(p*p\/(p*p**(-1\/4)\/p*p))\/(p*p**(-1))) assuming p is positive.\nAnswer: p**(-409\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from lqcqqyqyccqyqylyq?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -314*d + 45602606 - 12000524 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 - 6 - 11*x**2 + (3*x - 4*x + 0*x)*(-x + 0*x - x) + (-6*x + 2*x + 2*x)*(0*x + 5*x - 3*x) + 4*x**2 + x**2 - 4*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01571312 rounded to 4 decimal places?\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 * -848\nAnswer: -16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45183*3.\nAnswer: -135549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0015113669 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 702\/(-104)*4\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 105\/44 and -137\/276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/10 - (14 - 444\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/(2128\/980)*(-2)\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 141*o**2 - 2991*o + 127. Calculate j(115).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -369.\nAnswer: 5\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 150 - 104. Suppose 0 = 5*q - j - 314. What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 10*g + 101. Let y be f(-9). What is the first derivative of 4*o**2 - 9*o - y + 12*o**2 - 9*o**2 wrt o?\nAnswer: 14*o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 + 8*k - 11. What is the tens digit of f(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -9*g + 41. Let i be y(18). Let l = -124 - i. Let m(q) = -q**2 - 3*q - 1. Let d be m(-4). Sort l, 3, d in descending order.\nAnswer: 3, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84952 divided by 3034.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37658.\nAnswer: 2, 19, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-216)\/(-32))\/(-5*(-2)\/(-40)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.2 - 3. Let o = 0.01 - 0.31. Put -4\/3, o, f in increasing order.\nAnswer: -4\/3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/585*-18)\/(1*(-38)\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -55027 divided by 49?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-441)*3339\/(-3710)*14\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/(z\/(z*z**3\/z)*z))*z**(-3))\/(z\/(z*z*z\/((z*z*(z*z**(-1))\/z)\/z)))**(-32))**(-2\/77) assuming z is positive.\nAnswer: z**(136\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123571.\nAnswer: 7, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(168)\/sqrt(4))\/sqrt(3) + sqrt(14) - 3*(sqrt(56)\/sqrt(4) - sqrt(14)))\/(-5*-4*((sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2))))**2*-2.\nAnswer: -7\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 + 135*k + 653. Let d be f(-5). Let l be (36\/(-90))\/(-2*(-1)\/(-35)). Sort d, 5, -2, l in decreasing order.\nAnswer: l, 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 4*y**2 - 3*y**2 - 4*y - 3*y**3. Let p(m) = 4*m**3 + 9*m**2 + 0*m**3 - 12*m**2 + 3*m + 2*m. Determine -4*p(h) - 5*z(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 161\/160 + 127353\/1120. Let p = 115 - t. Factor p*s + 2\/7*s**2 - 4\/7.\nAnswer: 2*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c + 1. What is m(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-2))\/((-4)\/(32\/(-24))). Suppose -d - 1288 = -5*n, -10 = -5*d - a*d. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 363677843 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.7 + 1.3. What is the closest to 0 in 4, 2\/15, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-920)\/368*12\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -10. Let y be 18 + (-1 - (s + -1)). Calculate the highest common factor of y and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*o + 30*o - 6, 0 = j + 3*o - 72. What is the highest common divisor of 78 and j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64379182 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.042  (b) 162  (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + q = 0. Let z(j) = 2*j + q*j + 0*j - j - 3. Is 6 a factor of z(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 790369260 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4358257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -3*a. Let d(k) = 6641*k**2. Determine d(w(j)).\nAnswer: 59769*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -7*t - 1. Let z be c(1). Let q(u) = -u - 7. Let w be q(z). Solve 3*h - 2*h = -w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 157\/6  (c) -4\/47  (d) 0  (e) 2\/11  (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 2*h - h - 12, 7 = -5*w + 4*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31516894 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + (sqrt(143) - 1*(sqrt(143) + 2*sqrt(143))) + sqrt(143) - sqrt(143))\/(sqrt(132)\/(sqrt(48)\/sqrt(4))))**2 + -2*-3*sqrt(832).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*b + 488243 = -13*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 3*28*6\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2314.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.14, 1, 8 in increasing order.\nAnswer: -0.14, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -153900079 + -435\nAnswer: -153900514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.16662 - 4.17. Round p to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 divided by 110.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8042745 to the nearest integer?\nAnswer: 2836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -195 + 196 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45770761?\nAnswer: 4517, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-136)\/46 + 33 + -30 - 0?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 4*z - 4*z)*(-1 + 2 - 4 + 5*z).\nAnswer: -10*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/6 - (-2)\/(-21). Let f = 23\/105 - -8\/21. Put 0, f, w in ascending order.\nAnswer: w, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 3*c + 24, 0*k = -5*k - 3*c + 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 7*x = 0. Let v(b) be the second derivative of 1\/15*b**6 + 1\/30*b**5 + 2\/63*b**7 + 0 + x*b**4 + 0*b**3 - 9*b + 0*b**2. Let v(z) = 0. Calculate z.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**4)**(-1\/9)*((q*q\/q**(2\/25))\/q)\/(q*q**10))**25 assuming q is positive.\nAnswer: q**(-2368\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 + 0.8. Let k = 13.3 - 14. Let o = d - k. Do -1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/14)\/(1\/(-7)) - (-73568)\/12122.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**10)\/(y\/((y\/(y*(y\/y**(1\/4))\/y))\/y)))\/(y\/(y*y*y**(-1\/3)*y*y))**(1\/31) assuming y is positive.\nAnswer: y**(3473\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -102710572 - 61?\nAnswer: -102710653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3*t**2 - 10*t - 16. Let b(u) = -2*u**2 + 7*u + 11. Let y(q) = -8*b(q) - 5*s(q). Let p be y(7). Is p greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 2*l + 10. Let k be a(0). Let h = 12 - k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*z + 174199 - 646255 = 0. What are the prime factors of z?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*b + 73 = -q - 223*b + 115*b + 20, -4*b = 18*q + 154 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*r + 205623 = 37*r - 40*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309*c = 361*c + 1527 + 761 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 106  (b) 0.4  (c) -33  (d) -37  (e) 1  (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 6*j. Let l be (6\/(-10))\/((-7)\/(-35)) + -1. Let m be (0\/(-2) + 1)\/((-22)\/l). What is the closest to 0 in 5, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15 - 903\/(-63))\/((-1)\/12). Solve -7*b - z = -3*b - 3*n, 5*b = -3*n - 37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from pbkbypkbbpeeyybk.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/5 + 17876\/6540)\/((-2)\/(-423)*3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 907 = 75*w + 22*w - 2197 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256287 is divided by 21355?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -7. Let f be (j - (0 - 1))\/(-1). Does 15 divide -1 - f - (5 + -42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rqqrqrqrrqqrr. Give prob of picking 1 q and 3 r.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2*c - 3*c + 3*c)*(3*c - c + 0*c)*(-61*c + 0*c - 8*c) as v + r*c + i*c**2 + a*c**3 and give a.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-44 - -3385)*3\/1. Suppose 24*z - f = 18609. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*z + 82*z = 4*h + 11, -2 = 6*z + 4*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/7, 12\/133, 2\/6693?\nAnswer: 12\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/1626212 and 61\/132752.\nAnswer: 6504848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 798164 + -245004. Let j = n + 31425. Let d = j + -1109585. What is d rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 7*q**3 + 11*q**2 - 5*q + 3. Let k(g) = -8*g**3 - 14*g**2 + 6*g + 1. Determine 5*k(n) + 6*t(n).\nAnswer: 2*n**3 - 4*n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -99 or -103?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1085 or 8929?\nAnswer: 1085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 14. What are the prime factors of q(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - (-2 - 5 - -3). Let k(b) = -3 + 2*b - 9*b**2 + 2 + 11*b**a. Let g be k(1). What is the highest common divisor of g and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6505.198 centuries in months?\nAnswer: 7806237.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**10\/h*h)\/h*h**(1\/11))**(-34) assuming h is positive.\nAnswer: h**(-3400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 - -39. Suppose -7*z + 4*w - 16 = -4*z, 0 = -2*z - 6*w + 50. What is the remainder when k is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*o = 48*o + 2*a - 3, 0 = 3*o - 5*a + 10. Let u(s) = -105*s**2 - 5*s + 5. Let g(q) = -262*q**2 - 12*q + 12. Calculate o*g(p) + 12*u(p).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*2.4\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 104*l**4 + 144242*l**3 - 3*l**2 + 397936294*l.\nAnswer: 1248*l**2 + 865452*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 8*l - 5*l - 3*l - l. Let q = -2066 + 2065. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2*q = 8*d - 470, -q - 116 = -d. Solve 0 = -4*g + 117 - d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -674, -682, -694, -710?\n\"Answer: -2*s**2 - 2*s - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - a**2 - 14*a + 12. What is y(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 25*b**2 - 2*b + 3. Let c be g(2). Does 10 divide 2002\/c - (-4)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (66\/(-297) - 269\/(-36))\/(9\/(-36))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -12*c + c**3 + c**2 - 7*c**2 + 15 + 2*c**2 - 5*c**2. Let h be r(10). Sort 8, 1, -2, h in decreasing order.\nAnswer: 8, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -15*(-8)\/(-24) + ((-420)\/45 - -13). Let h = -1.1 + -3.9. What is the third smallest value in h, -1\/11, x, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.729 + 0.629. Sort a, 0.5, -6\/47.\nAnswer: -6\/47, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*t + 20*t**2 + t**3 - 38*t**2 + 112*t + 0*t + 16*t**2 in the form a*t**3 + p*t + o*t**2 + n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 5 - 19. Let u = x - -9. What is the third derivative of 0*r**u - 4*r**3 - 5*r**2 + 4*r**2 - 4*r**2 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 + 39 = 10*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 0*l = -3. Let q(j) = 239*j**2. Is q(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 9*u**2 + 7*u + 3. Suppose -26 = 5*k + 14. What is the remainder when 30 is divided by r(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 51?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38 + 42. Let m be (4\/3)\/(3\/(13 - s)). Suppose -m*p + 2*t = -5310, 5306 = 4*p + t + t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5)*-2*-2*-6 - -2*(1 + sqrt(605)))**2 + ((3 + sqrt(20)*-2 + -1)*6)**2.\nAnswer: -584*sqrt(5) + 3048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.792 + 5.\nAnswer: 5.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 5*c. Let f be p(-5). Let s(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/6 - 19*v**2\/2 - 106*v. Determine s(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38163 - 19*r**2 - 13*r**2 + 31*r**2 + 38163.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 13174 and -2.64.\nAnswer: 13171.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12 + 0)\/(3 + -1). Let p(h) = 7*h + 3. Let x(t) = 20*t + 8. Let w(s) = n*x(s) - 17*p(s). Determine w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-60 + 27)) + -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*m - 8. Let i = m + 1. Suppose 1 = i*j - 3. Solve 2*w - t + 5 = -0*t, 3*w - j*t = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbb. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 451307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*g + 54 + 399 = 28 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*b**5 - 243921*b**4 - 5*b**2 - 40649888*b + 2?\nAnswer: -80*b**3 - 2927052*b**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 7:21 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2032503827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 - 32*u**2 + 141*u - 88. Give h(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6265927908 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -23*f + 336. Let w be y(15). Let b be (-690)\/23*3\/w. Let z = -3 + 2. Put -0.2, z, b in ascending order.\nAnswer: z, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 807021, 1614021, 2420995, 3227931, 4034817, 4841641?\n\"Answer: -2*c**3 - c**2 + 807017*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5280138*a - 5280141*a + 13 = 4*x, -a = -3*x - 13 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 3\/11, -16, 0.11, -35, -8?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(-1))\/t)**(1\/17)\/(t**6\/(((t\/(((t**(-2\/17)\/t)\/t)\/t*t))\/t)\/t)))\/((t**(-1)*t*t)**44*(t*t**(-2\/9))**(-14\/5)) assuming t is positive.\nAnswer: t**(-35684\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/80)\/((-112)\/80)*1484\/(-12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 113778088*g**3 - 269331178 wrt g?\nAnswer: 341334264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f + 54 = -58 - 23, 0 = -5*s + 217*f - 211*f - 105 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8271448 is divided by 385.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-32)*3 + ((-459)\/(-765))\/((-3)\/5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 1580614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 83 - 14. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3349*p - 1678*p - 7279*p**2 + 30*p**2 - 1671*p.\nAnswer: -7249*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**5 - 65*j**4 - 1275*j**3 - 7875*j**2 = 0. What is j?\nAnswer: -35, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -4*v - 10. Let c be n(-6). Put -4, c, -5, -2 in decreasing order.\nAnswer: c, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**5\/20 + 11*z**4\/12 - 9*z**3\/2 - z**2 + 5331*z. Give i(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 11:47 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**7)**(3\/14) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 9}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(-4)\/5*(177\/(-18) - -9). Solve 6*b + y*g = 3*b - 7, -g + 14 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/4 and 131\/444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 337534159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 6*o - 4*o. Let w = -4 + o. Solve w = -2*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1084074518.\nAnswer: 2, 131, 373, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15124871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - 922490\/89616 - (-21 + 19). Let n be 1855\/(-5601) - (-1)\/3. Let j = n + r. What is the common denominator of 74\/33 and j?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -8*y - 3*q + 82, 0 = -y - 5*q + 34. Suppose y*c - 27 = 5*c. Solve c*s - 7 = -i, -i - 1 - 1 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + -0.3. Let a(r) = r + 1. Let w be a(5). Let x be 32\/w*(-2)\/(-8). What is the third smallest value in d, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -264\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -30 - 21*n + 56 + 62 wrt n?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 5*g + 2*k - 336 = 0, 5*g + 3*k - 339 = 0. Suppose z + g = -142. Let a = 400 + z. What is the highest common divisor of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8842 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110011101110010100 (base 2) to base 12.\nAnswer: a2730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/13 > -423430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, l: 1}. Give prob of sequence lx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hnhhhhhhhhhhhhhhhn. What is prob of sequence hh?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1536574 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y + 3*y - 483. Let k be 3\/2 - y\/230. What is the second smallest value in k, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 37158054 and 4100.\nAnswer: 1857902700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5458516.6 + -0.3?\nAnswer: -5458516.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**0*l*l*l)*l*l**(-1\/2))\/((l*l\/((l*l**(-1\/9))\/l))\/((((((l*l\/(((l**(-1)\/l)\/l)\/l*l))\/l)\/l)\/l*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8, -2, 12, 34, 64, 102?\n\"Answer: 4*t**2 - 6*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 9, j: 2}. Give prob of sequence ujuj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -355135 - -4?\nAnswer: -355131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 10 = 5*c, -3*z + 3*c + 24 = 6*c. Let y(q) = -z*q**2 + 7*q**2 + 19*q**2. Let t(u) = -u**2. What is t(y(w))?\nAnswer: -256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43 - 40.59. Let a = f + -1.41. Which is smaller: a or -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 - 139*c. What is the tens digit of r(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/14 + 6\/(-14). Is h greater than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (3*1136\/(-4224))\/(13\/(-2)) and 129\/154?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from mviiivmviv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3612*j**2 - 23 - 94*j + 23 - 2421*j**2 + 93*j in the form s + d*j**2 + r*j and give d.\nAnswer: -6033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3734 - 3750. Sort -1, -258, y in descending order.\nAnswer: -1, y, -258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 22 - 147 = 0. Suppose -3*u - 2*u = -b. What is the remainder when 17 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426613?\nAnswer: 11, 38783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in sixty-one thirds of a minute?\nAnswer: 1220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -2, 3 in decreasing order.\nAnswer: 3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - 3*w + 2. What is the least common multiple of 126 and b(-5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -4*l - 1\/2*l**2 - 5\/6*l**3 + 0. What is the lowest common multiple of h(-2) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -270925, -270920, -270913, -270904, -270893, -270880?\nAnswer: -270865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 12*v**2 - 13*v + 26. What is d(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dzjd when four letters picked without replacement from {s: 1, d: 5, j: 3, w: 1, z: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 80 + 73 = g, 0 = 3*g - v - 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 118012903 to the nearest integer?\nAnswer: 10863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + -1 + 86 + (-153 - -25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421490.\nAnswer: 2, 5, 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 37681 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, n: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 5:05 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2745\/3050*24\/(-27).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -97\/12 less than 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 357366, 714350, 1071334, 1428318, 1785302, 2142286?\n\"Answer: 356984*t + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 9, m: 3}. What is prob of sequence mxxm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 417 + 191 + 214 = 4*h, -8*t + 32 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -480 + 365 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.379 and -7673476705.\nAnswer: -7673476707.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3*f**2 - f + 4. Let s(o) = 372 - 198 - 173 + o**2. What is -p(h) + s(h)?\nAnswer: -2*h**2 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 24 = h + 5*a, -2*h - 5*a = 16. Suppose 5*o = 4*o - h. Sort 4, 3, o in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(3\/(9\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-2)*(-8)\/(-128)*24\/(-4)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/s**10*s**44*(s*s\/s**23)**(-36) assuming s is positive.\nAnswer: s**791","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-6 + 19 + (1 - -4 - 14))) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, 141, 406, 777, 1254, 1837, 2526?\nAnswer: 3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to 12\/53977919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 509 - 470. Let p = -68 + 114. Let j = p - n. Solve -11 = 5*s - c, -2*s = 2*c - j*c + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137756?\nAnswer: 2, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -13*b**2 + 124*b - 13. Let i(a) = -6*a**2 + 62*a - 6. Determine -9*i(u) + 4*p(u).\nAnswer: 2*u**2 - 62*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 1 = -5*t, t = 502*x - 503*x + 5 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -a**10\/50400 + a**9\/20160 + a**5\/60 - 3*a**2. Let n(t) be the third derivative of g(t). Factor n(j).\nAnswer: -3*j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 5*g - 215 = -5*h, 5*g - 31 = -h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -686*h - 6 = x - 682*h, 8*x - 5*h + 48 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 256\/576*-3*51\/(-4)*-2\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - s - 55 = 4*s, 0 = 3*w + 4*s - 10. Let i be 4\/10 - (-26)\/w. Let v be (-5)\/i - 9\/(-6). Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 13, x: 6}. Give prob of sequence ax.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -10656\nAnswer: 1\/2664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22176 and 4206024.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 28 - 4 = 0. Solve 3*j = -j - 4*m + 8, 4*j - 24 = l*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 + 27. Calculate the remainder when (27\/i)\/(6\/6) is divided by ((-2)\/2)\/(1\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29720 divided by -20.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(1\/6)*o*o**(28\/3)*o\/o**(-1\/3)*o\/((o\/o**(10\/9))\/o) assuming o is positive.\nAnswer: o**(269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 59163313*a*o**3*v - 6*a*o**2 + 5*a*o + 19*a*v + 3*o**2*v - 517*o**2 wrt o.\nAnswer: 354979878*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-6*(-24)\/144)\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83757*r - 21368*r - 4775 + 9548 - 4773.\nAnswer: 62389*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1000) + -1*sqrt(1000))\/(-1*sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + 62\/58 + -4. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20592 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 5. Let d be (8\/6)\/((-2)\/(-6)). Let p be r(d). Suppose -4 = -5*m + 11. Put 5, m, p in descending order.\nAnswer: 5, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -5*v**5 + 10700*v**4 + 4486785*v**3 + 429855300*v**2 - 434352780*v = 0.\nAnswer: -186, 0, 1, 2511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 7:12 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -89, 91, 11, -1, -2 in decreasing order.\nAnswer: 91, 11, 3, -1, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.69 * -3470.\nAnswer: 9334.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 534 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*k - 9 = -133 - 26 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of 1\/3*r**3 - 2*r + 0*r**2 + 4. Find the first derivative of o(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373583411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f - 11*f + 270. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -7*b - 12. Let a = b - -6. What is the first derivative of 1 - 3*g**2 - 3*g**a + 5*g**2 wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 824 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -25 - -764665?\nAnswer: 764640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 550485 and 6435?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 528767, 528758, 528749, 528740, 528731, 528722?\n\"Answer: -9*u + 528776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*n + 12618 = 48*n. What are the prime factors of n?\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -0.13  (b) 3  (c) 86  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 100637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -17. Let v be 2\/(-4) - (-5)\/(-2). Put 2, v, z in decreasing order.\nAnswer: 2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*a, 3*z + 4*a + a + 11 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 20*k + 24. Let g = 48 + -29. Is f(g) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**2 - 6*u - 10. Give j(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 200 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5*g**2 - 9*g - 9. Suppose -i - 1 = 5*z, 2*i + 1 = 3*z - 1. Let d be h(i). Solve -24 - 1 = -d*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.0325 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 163*d**2*f + 19214*d**2*q + 101*d*f*q - 2*d*f - f*q + 2*f - 136 wrt d?\nAnswer: 326*f + 38428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 121*i + 46828 = -117*i, 3*g = 5*i + 35193. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2 - 1. Let d(m) = 2*m**3 - 12*m**2 + 2*m - 295. Determine -d(r) + 6*q(r).\nAnswer: -2*r**3 - 2*r + 289","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c - 28. What is m(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11982, -11985, -11986, -11985?\n\"Answer: g**2 - 6*g - 11977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*m - 37*m = 2*v + 7 - 5, 0 = -4*m + 68*v - 196 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2920110 divided by 10?\nAnswer: 292011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 v, and 1 d when three letters picked without replacement from kdddwwv?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 - (33600\/(-14) + -7) is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2223754 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.0492  (b) 53\/2  (c) 73  (d) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 206 - 129. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -11.5. Let w be -5 + 3 + (-8)\/(-1). Let z be 4\/w - (-2)\/(-6). Which is the nearest to z?  (a) p  (b) -2\/3  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3950)\/(-500))\/79)\/(15\/20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.03  (b) 1  (c) 3  (d) 0  (e) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - l**2 - 6*l + 62700. Let q be (36 + -36)*(-2)\/6. Let p be u(q). What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r**2 + 3*r - 1. Let x be y(-2). Let l be 14363\/6 - (7\/(-6) + x). Suppose 6*q = l - 888. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 4*i + 55 = 44, -2 = -q + 3*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 133264923 to the power of 1\/2, to the nearest integer?\nAnswer: 11544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 4*h**3 + 17*h**2 - 2*h. Let y(w) = -13*w**3 - 52*w**2 + 7*w + 1. Let a(g) = g**2 + 124*g - 2563. Let u be a(18). Calculate u*z(v) - 2*y(v).\nAnswer: -2*v**3 - 15*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -115 - -150. Let x = 34.8 - d. Which is the biggest value?  (a) x  (b) 2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 437 and 71231.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c + 6. Let a be r(3). What is the common denominator of 4\/117 and (-1827)\/324 + (-3)\/a?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 76 by 532385.\nAnswer: 76\/532385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*l - 7*l**3 + 7*l)*(7*l - 2*l - 2*l + (1 + 2 - 1)*(0*l + 3*l - l) + 4*l + 2*l - 4*l - 1 - 2*l + 1).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 11169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37)\/(-93) - 8\/18*18\/24?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -63660 greater than -63660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34211957*w**3 - 593740*w**2 + 78*w.\nAnswer: 205271742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5704701889?\nAnswer: 383, 14894783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -1842*a + 9128. Calculate v(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2178)*4 - sqrt(2178) - sqrt(180)\/sqrt(10)*6)\/(sqrt(600) + -2*sqrt(600)*-4 + (sqrt(600)*-1 + sqrt(600))*1).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 5*x + 2 + 10, 0 = s + 3*x - 20. Let m(v) = v**2 + 5*v. Suppose -5*o - 30 = -0*o. Calculate the remainder when s is divided by m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*l**3*r**3 - 2*l**3*r**2 + 16*l**2*r**2 + 3*r**4 wrt r.\nAnswer: -96*l**3 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 8 = -3. Suppose 0 = 2*z + d - 64, 2*d + 2*d + 186 = j*z. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/25 <= 114057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 7:57 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 2815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 AM and 6:20 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000293160353 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4\/7 - 8*t**3\/7 - 6*t**2\/7 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 705 + -503. Let l = 471\/2 - g. Calculate the common denominator of l and -18\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, g: 1}. What is prob of sequence aag?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of 0 + 5\/6*a**3 - 20*a**2 + 1\/24*a**4 + 2*a. What is d(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13a012 (base 16) in base 11?\nAnswer: 7a9349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-3 - (4 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**3 - 40*m**2 + 2*m + 40 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 - (478\/(-4))\/((55\/(-3170))\/(-11)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202320 (base 14) to base 6.\nAnswer: -35104040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1590935501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(4\/(-8)) - 2)*1. What is the closest to c in 1\/2, -0.5, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 1)*-3 - (-1 + 10). Let y be 30\/t*2 + 292. Calculate the highest common divisor of y and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.84 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4)\/k*k*k*k**(9\/5)*((k*k**(6\/7))\/k)**(12\/11))**(-2\/5) assuming k is positive.\nAnswer: k**(-5367\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 5 + 2*v + 3)*(0 - 4 + 1) + (10*v + 1 - 1)*(-1 + 0 + 2) to the form r + i*v and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 517 - -5?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 0*l + 0*l)*(-13*l**3 + 5*l**4 + 13*l**3) + 17*l**5 + 2016*l**3 - 2016*l**3 + l**2.\nAnswer: 7*l**5 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18 by -5.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-34)\/1955*-23 - (-6204)\/(-14335)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2160)*-1*5 - sqrt(2160)*-1*4)\/((1*sqrt(30))\/sqrt(10) + sqrt(243)*2).\nAnswer: -12*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 225083069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*u = 4495683 + 3509787. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*x**4\/2 + 3905*x**3 + 4827705*x**2\/2 - 2425555*x - 4835500 = 0. What is x?\nAnswer: -475, -1, 2, 2036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 12*i - 21. Suppose c + 2*c - 45 = 0. Let j be l(c). Solve -t + 4*r = 4*t - j, -7 = -2*t - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 588257589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 48665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3273546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**2 + 1. Let z(p) = 22*p**2 + 6*p - 12. Let j(m) = -21*m**2 - 5*m + 11. Let g(b) = -6*j(b) - 5*z(b). Determine 2*g(w) + 11*t(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5108 at least 65406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 494*z - 58. Let t be f(8). Let y = t - 2144. Does 35 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/8*(-48 + 452). Let l = 905 - j. What are the prime factors of l?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3655*k + 2900. Determine w(-1).\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60259.\nAnswer: 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**9*c*c\/(c*c\/(((c*c\/(c\/(c*c\/(c*c\/c**(-2\/7)))))\/c)\/c)*c))\/((((c**(-5)\/c)\/c)\/c)\/((c*c*c*c**(-7)*c*c)\/c)) assuming c is positive.\nAnswer: c**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 4*i - 5115, -3*i = -2*i - 3*c - 1283. Let j = i - 749. What are the prime factors of j?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1228, 2.01, 1\/5, -15, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 491119654.\nAnswer: 2, 245559827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(198) + sqrt(198) + 2*sqrt(198)*-2)\/(4*sqrt(6)\/sqrt(3)*-5).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 66\/7 of a week?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13.19 in 2\/3, 0.1, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -y + 5*w + 26, 4*w = -2*y - 4. Solve 3*f + y = 3*a, 0 = -5*a - f + 2 + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -128.4 - 32.6. Which is the closest to x?  (a) 1\/4  (b) 2\/15  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 14, -43 in increasing order.\nAnswer: -43, -4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (3 - (12 + (22 - 14))) - 0\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*l - 27 = 15. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)*6 - sqrt(52)) + sqrt(52)*-2 + -4 + ((-2 + sqrt(52) + sqrt(52) + 2)**2 - (sqrt(52) - sqrt(364)\/(sqrt(35)\/sqrt(5)))).\nAnswer: 18*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o + 5760 = 26*o. Calculate the highest common factor of 36 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/240*97\/((-120959)\/290)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 640376 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 51 + -73. Find the common denominator of ((-14)\/48)\/((-10)\/(-45)) and 4\/c*170\/8.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25.8*33271.\nAnswer: -858391.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**4 + 3*h**3 - 8*h + 3. Let s(c) = -3*c**4 + 4*c**3 - 9*c + 4. Let i(o) = 4*m(o) - 3*s(o). What is the second derivative of i(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -4*c - 6. Let l be k(-6). Let u = 25 - l. Solve 3*p - 1 + u = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19831?\nAnswer: 7, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 10. Let m = 1160705\/11 + -105519. What is the second smallest value in 0.4, n, 2\/13, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqfiieqeiiedfeqffqqq. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -16 - -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - p + 63. Let o be (7\/14)\/((-1)\/(-220)). Suppose 2*u = 7*u - o. Calculate the remainder when p is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9 times -38?\nAnswer: 72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.93 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 87175 and 1683.\nAnswer: 146715525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/1765 or 1?\nAnswer: 6\/1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + v = -83, -4*v - 15 = -v. Let h = g + -16. Suppose 0 = 2*r + 4 - h. Which is the closest to -2\/5?  (a) -3  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/(-32))\/((-2)\/8). Suppose 0 = 2*s + h + 1, -5*h + 33 = -3*s - a. Are s and -3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 + 2*w. Let c be l(-2). Suppose c = x - 108 + 13. Let r be 3088\/80 + (-3)\/5. Calculate the greatest common divisor of x and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u - 1. Let i(n) = 4*n - 2. Let t(s) = -5*f(s) + i(s). Let w be t(3). Solve 2*p + 10 = -w*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 183357, 183361, 183365, 183369?\nAnswer: 183373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-1)\/(1762\/(-110) + 8 - -8) and 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 291*p + 447*p + 336 = -4830. Suppose 3*q + q - 16 = 0, -4*t = -2*q - 8. Sort -2, p, t, -1 in descending order.\nAnswer: t, -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -10. Which is the third smallest value?  (a) f  (b) 1  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 588051.6 centuries to years.\nAnswer: 58805160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -156098, -156138, -156178, -156218, -156258?\n\"Answer: -40*r - 156058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3454113 divided by 12\nAnswer: 1151371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 0*x + 5*x = -16, 0 = 2*s + 5*x + 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q + 4. Let g be b(10). Let u = 16 - g. Calculate the highest common divisor of u and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, -74, -208, -392, -620?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(77)*-2)\/(1*sqrt(252)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 11302.\nAnswer: -1130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 2*c + 31 = 0, -87*c = w - 90*c - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73174932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 to the power of 1\/6, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*g + 5*g + 680. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317647*d + 11 + 108591*d - 1 - 2.\nAnswer: 426238*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 7:41 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12627059 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of -8*w + 0*w**3 + 11\/6*w**4 + 0*w**2 + 0*w**5 + 14\/15*w**6 + 0. What is the third derivative of l(h) wrt h?\nAnswer: 672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 3810, 4, 14, 57, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 221 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-eight fifths of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73836*n + 170 = -73846*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -68*d - 682 + 614 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -5*i - 5*l, l - 18 = -i - 2*l. Calculate the remainder when 81 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 166927\/(-7530) - 0 - 0. Let z = -2\/1255 - i. What is the common denominator of 27\/20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 6. Let m(z) = 44*z**2 - 6. Let v(d) = -39*d**2 + 5. Let o(r) = -5*m(r) - 6*v(r). Give h(o(k)).\nAnswer: 14*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*c + 4*c + 96. Let h(i) = i**3 - 12*i**2 + 4*i + 5. Is h(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1430.3 + 1591.3. What is the nearest to -1 in 1\/5, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 11*k**2 - 116*k - 359. Give n(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -11 + q + 6 + 3. Let w be n(6). Solve 5*l + 2*d = -17, 8*l - w*l + 2*d + 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -37. Let u(y) = -y**2 + 7*y - 7. Calculate u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 2)*3*-1. Suppose -q - k*q + 208 = 0. Suppose 2*o = -2*o + q. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9486502 to the power of 1\/2, to the nearest integer?\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (4 + 10 + -4 - (11 - 15))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 12:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {l: 10, d: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -645 - -643. Put 177, c, -1 in descending order.\nAnswer: 177, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -0.2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.053422 * -5.\nAnswer: -0.26711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of 0*d**2 + 0 - 1\/30*d**4 - 2\/15*d**3 - 4*d. Let j(x) = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -51218 - -107247. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q + 70. Let t(u) = 2*u + 142. Give 13*g(c) - 6*t(c).\nAnswer: c + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 651665 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.4 + 2.6. Let k = p - 5. Let d = 0.4 - k. Which is greater: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16854331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -49\/3*q**4 + 5*q - 8*q**2 - 56\/3*q**3 + 0. Factor g(o).\nAnswer: -4*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.5 - 1.652. Let n = -0.15199858 - m. Round n to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (45 - 1)*(-3)\/3. Let r be 0 - (0 + 2) - g. What is the tens digit of (-1)\/(-2) - r\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 2516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*k - 14*k**3 - 3\/2*k**4 + 57\/2*k**2 + 0 = 0. What is k?\nAnswer: -11, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 13*g - 11. Let l be q(9). Let i = -100 + l. What are the prime factors of i?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/(-5))\/((-15)\/(-25)))\/(25\/(-150))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of 20\/3*f**3 + 0*f**4 + 0*f + 4\/15*f**7 - f**2 - 12 + 0*f**5 + 0*f**6. Differentiate i(q) with respect to q.\nAnswer: 224*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*y**3 - 294*y**3 + 84*y**3.\nAnswer: -203*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 4*a - 1720. Let z(h) = -430 + h + a. Let o(n) be the second derivative of -29*n**3\/6 - 3*n. Calculate z(o(f)).\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35 + -107. Let q = 152 + z. Suppose 3*y - h = -3*h + 68, 3*y - 4*h - q = 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 u be (-4)\/((-2)\/(-9) - (-111)\/(-621)). Let q = -88 - u. Suppose -4*y + q*l = -348, y = l + l + 87. Calculate the highest common divisor of y and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*z**2 - 14*z**2 + 30*z**2 + z**2.\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhssshsss. 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: Let a(t) = t + 8. Let m = -39 - -43. Suppose w = 5*k - 13, -k + 2 - 33 = m*w. Let c be a(w). Solve 4*n - 2 - 10 = c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2166915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 2, -5, -2 in decreasing order.\nAnswer: 2, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -10 + -1 + 1 + 6 + -127 + 113\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54122, -54077, -54034, -53993, -53954, -53917, -53882?\nAnswer: -53849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1715, 1798, 247, -2938, -7757, -14210, -22297?\n\"Answer: -817*l**2 + 2534*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -137, -528, -1179, -2090, -3261, -4692, -6383?\n\"Answer: -130*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -463, -3360, -11299, -26824, -52479, -90808, -144355?\nAnswer: -215664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54 and 239382?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 505162783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of -f**4\/24 - f**3\/3 + 4*f**2. Let h(x) be the second derivative of -x**3 - 11*x**2\/2 - 2*x. What is -2*h(n) + 11*k(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of u**3\/7 - 24*u**2\/7 + 192*u\/7 - 5. Solve z(m) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - -1)\/((-2)\/(-22)). Let s be (-1)\/(-1) - (r + -14). What is the highest common factor of 18 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -231436939\/215 - -1076458. Let f be 18821\/(-4730) + (1 - 0) - -3. Let k = m - f. Calculate the common denominator of 99\/14 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of k**4\/4 - 4*k**3\/3 - 5*k**2\/2 - 4*k + 2. Is 13 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 5*w - 4, -3*w - 2 = -3*a - 2*a. Let u(t) be the first derivative of 17 - 1\/2*t**2 + 2*t. Let r(s) = s - 1. Give w*u(l) + 3*r(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2295, 4576, 6849, 9114, 11371, 13620?\nAnswer: 15861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.018 + 12.518. Let h = g - 10.5. Let v = 2.35 + -2.2. Which is the third smallest value?  (a) h  (b) v  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14120579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g**(-4)\/g)))**(-41))**(11\/5) assuming g is positive.\nAnswer: g**451","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 324.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 7*m**2 - 5*m + 2. Let h be p(6). Suppose -5*f + 194 = -2*x, 0*f + 3*x = -f + 49. Calculate the greatest common divisor of f and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.11  (b) 11  (c) 3  (d) -121.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 132, 354, 640, 978, 1356, 1762, 2184?\n\"Answer: -2*g**3 + 44*g**2 + 104*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lgd when three letters picked without replacement from cddllqgdclcggcqlcqdc.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**3 + 206204*g**2 - 30*g + 294.\nAnswer: 12*g + 412408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 0) + (3 - 4). Let s be (4 - 4)\/(p + 2). Suppose w - 35 = -0*w + 2*l, s = -w + l + 36. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7611*m = 7629*m - 378. Solve m*g + 15 = 24*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 807, 805, 803?\n\"Answer: -2*f + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8397 a factor of 1500073668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43 divided by -2096.\nAnswer: -43\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*t**3 - 80008692*t**2 + 53339134*t - 8889856.\nAnswer: -2*(t + 4444928)*(3*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -266*b + 264*b + 8460 = 0. List the prime factors of b.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7810318?\nAnswer: 2, 61, 64019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27749*z**3 + 278*z**2 - 33169007*z wrt z?\nAnswer: 166494*z + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**5 - 18*p**3.\nAnswer: 2*p**3*(p - 3)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21 - 21 - 73*o**2 + (-o - 4*o + o)*(-2*o + 0*o + 3*o) - 2 - o**2 + 2.\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 12950219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - (28 + -13 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4\/3)\/f)\/(f*f**(-5)\/f)*f**4*f**(1\/3)*f*((f**0*f)\/(f*f**(1\/3)))\/(f**(-1\/11)\/f**(-4)) assuming f is positive.\nAnswer: f**(124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-532))\/(51\/((-45543)\/(-188))).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -646 divided by -646\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5141?\nAnswer: 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -10. Let z = c - 2. Let a(g) = 3*g + 4 - 6*g + z*g. What is a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + 3*m - 11. Let x be f(-7). Suppose 0 = -5*a - u + x, 4*a + 2*u - 7 = -u. Solve a*r - 26 = -k - 4*k, 2*k - 5*r = -16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15251584 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**2*d**3 - 42*b**2*d - 3*b**2 + 3*d**2 - 379 wrt d.\nAnswer: 3*b**2*d**2 - 42*b**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 2*p**2 - 40*p + 62. Let c be u(7). Solve 5*x - 3*d - c = 0, 8*x - 3*d - 21 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 7\/10*i - 39\/10*i**2 + 1\/2*i**4 + 1 + 17\/10*i**3 = 0.\nAnswer: -5, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*-2*(-3)\/(540\/6474). Let n = 215 + t. Put 0, n, 4 in decreasing order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7379873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1652)\/26550)\/((-189)\/135).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 2*d - 28, d - 5*q - 1 = -17. Let o(a) = 2*a**2 + 7*a - 6. Let l be o(d). Let r = l - 36. What is the lowest common multiple of 8 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -6.3  (b) 3\/10  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 228 divided by -76.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 2:16 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 2:51 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -52463*k**4 - 7654 wrt k?\nAnswer: -209852*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-43 - (-2401)\/49)*1\/78.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**22*y**(1\/7)*y)\/(y**(-1)*y*y\/y**(-2\/21)) assuming y is positive.\nAnswer: y**(-440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 5:32 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -1025*n. Let x(c) be the third derivative of c**5\/60 + 349*c**2. Calculate x(m(b)).\nAnswer: 1050625*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 567*w**2 + 1. Let u(f) = 43*f**2. Calculate a(u(p)).\nAnswer: 1048383*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of 4*t**6\/15 - 7*t**3\/3 + 24*t + 5. Let h(n) be the first derivative of f(n). What is the second derivative of h(a) wrt a?\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzd when three letters picked without replacement from rzrzfrfrrndzr?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 174122345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q\/q**(2\/13))*q*q**(-2\/15)*q*q**16\/q**(-4\/19) assuming q is positive.\nAnswer: q**(67546\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5*(-3 + 2 + -2 + (-1 + sqrt(245))**2) + 0).\nAnswer: -2430 + 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0 - 8 = 0. Let f = 334 + -174. Suppose -5*q + g*v = -135, 0 = q + 4*q + v - f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 - 4*b**2 + 4*b**2 + 4*b**3 - 2*b**3 + b**4 as j*b + t*b**2 + w*b**3 + d + h*b**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 14943056.\nAnswer: 1\/7471528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**3 + 20*n**2 + 26*n - 38. Calculate the remainder when o(10) is divided by 95.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49580.8 - -1.6.\nAnswer: -49579.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9419053 micrograms to tonnes.\nAnswer: 0.0000000000009419053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + m + 9 = 1, 4*m = 5*f + 22. Let h(x) = -x + 2. What are the prime factors of h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13888, 49386, 108550, 191380, 297876, 428038, 581866?\nAnswer: 759360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1294 + -1289. What is the second biggest value in o, 0.1, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 divided by -1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 - 8 - 5)*(-f + 0*f + 2*f)*(63*f - 8*f + 0*f) to the form r*f**2 + y*f + h and give r.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.94613cm to meters.\nAnswer: 0.0594613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - ((-3 - (-2 + -2)) + (-36 - -29)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 0 = -3*v. Suppose -9 = -2*o + v. Let h be (25 - (0 + 0))*1. Calculate the greatest common factor of o and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07516429736 to 6 decimal places.\nAnswer: 0.075164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/((-1520)\/(-266)))\/(((-4)\/(-60))\/((-4)\/12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24096 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: How many minutes are there between 8:55 AM and 12:12 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 10, g: 9}. Give prob of picking 1 g and 1 k.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**2. Let q(v) = -2*v - 22. Let b = 64 - 75. Let f be q(b). Let y(m) = -24*m + f*m + m. Determine y(t(w)).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26280 is divided by 26232?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjvv. What is prob of sequence vvj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -173\/410  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -13*(-4)\/104*2 + 11. Let i be 595\/25 - 2\/(-10). What is the highest common factor of i and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m + i + 30, -1552 = -66*m + 2*i - 1212 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {n: 5, k: 2, j: 4, f: 4, u: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 31413 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/10  (b) -0.09  (c) -3  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 4*a + 2*q, q = -a - 0*a + 10. Suppose -a = -3*l - 3. Suppose -l*b + 1 = -79. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*m + 3*v + 70, -3*v = -2*m + 29. Suppose 0 = 5*b - 3 - m. Let t(j) = 1 - 5 + 1 + j + j**b. What is t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2*m + 3. Let c be ((1 + -2)*-2)\/2. Let u be c\/6 - m\/6. Solve -4*g + 22 - 6 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**4 + a**2. Let v(n) = 65*n**4 - 25*n**3 - 40*n**2. Let x(c) = -30*k(c) - v(c). Let x(f) = 0. What is f?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38 and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 255.1 and -17.\nAnswer: 238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - -1. Let x(h) = h**3 - 9*h**2 + 3*h + 2. Let l(a) = a**2 - a. Let r(f) = 3*l(f) + x(f). Let n be r(i). Solve -3*u = -u - n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 83664*r + 49631.\nAnswer: 83664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -4. Suppose -3*p = 4*g - b*g + 3, -p - g - 2 = 0. Let k(y) = -6*y + 2. Let j(h) = -70 + 7*h + 71 - 8*h. Determine p*k(n) - 2*j(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -3*c**5 - 20697*c**4 - 782262*c**3 - 740874*c**2 + 782265*c + 761571 = 0.\nAnswer: -6861, -37, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 25, -4, -75, -6 in descending order.\nAnswer: 25, -2, -4, -6, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2 + 70200*v - 308002500.\nAnswer: -4*(v - 8775)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -255.8 - -5\nAnswer: -250.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 167638, 167630, 167608, 167566, 167498, 167398, 167260, 167078?\nAnswer: 166846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/26 + 192\/(-128) + 5*690\/(-6825)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2805*u - 8640*u + 2539*u.\nAnswer: -3296*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 7*a + 1249. Let j be w(-39). Let h = 71 + -43. Let y be 1\/4 + (-5)\/h. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29406644777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 321 in -2\/7, -7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10992 + 11000. Solve 7 = l + y, -l = -i*y + 5*y + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24995.\nAnswer: 5, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -219076, -219138, -219200, -219262, -219324?\n\"Answer: -62*v - 219014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -44795140?\nAnswer: 44795143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10.476 - -10.492. Which is the fifth smallest value?  (a) -1\/2  (b) -4  (c) 0  (d) -0.3  (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, z: 6, l: 1, o: 1}. What is prob of sequence lmzo?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of t**6\/120 - 163*t**5\/15 + 26569*t**4\/6 - 3775*t**2. Factor v(s).\nAnswer: s*(s - 326)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**4\/h))\/h*(h*h\/h**(-4\/7)*h*h)\/h)**17 assuming h is positive.\nAnswer: h**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1795143, 1795176, 1795207, 1795236, 1795263, 1795288?\nAnswer: 1795311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 21*w = 364. Let f(n) be the second derivative of -n**4\/12 - 5*n**3\/2 - 9*n**2 - 2*n. Let p be f(w). Let j(a) = -4*a - 3. What is j(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 550?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 5*o)*(42*o**2 - 22*o**2 - 29*o**4 - 56*o**2).\nAnswer: -145*o**5 - 180*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 22\/1491 and 44\/213.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.3  (b) -5\/7  (c) -5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**1*a))**(-1\/14)*a*a*a*a*a*a**(-2)*a*a*a\/a**(-7) assuming a is positive.\nAnswer: a**(183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4736033008.\nAnswer: 2, 7, 137, 257, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 8. Suppose -h*s - 42 = -o + 74, -2*o = 2*s - 224. Suppose 3*v - 20 = -q, 0*v - v + o = 4*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6636855*q**2 + 1432604*q**2 + 1560314*q**2 - 8555159*q**2.\nAnswer: -12199096*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 882 = 11*x - 152. Let f = x + -90. Sort -1, 2\/9, f in descending order.\nAnswer: f, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12.2 + 85\nAnswer: 97.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 12.9541?\nAnswer: 12.9541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2458 + 4917\/2. Let b = -3 - -3.01. Let q = 0.31 - b. Is q at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 494 not equal to 338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*p = 4*z - 389, -p - 4*z + 119 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-9\/7)*t*t\/t**22*t*(t\/((t**(-22)*t)\/t))\/t**(-22))**(-34\/7) assuming t is positive.\nAnswer: t**(-6732\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*i**6 - 511435*i**4 - 4*i**3 + 4772*i**2 + 35722 wrt i.\nAnswer: -720*i**3 - 12274440*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 3*c**4\/4 - c**3\/3 - c - 71. What is p(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 2616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*d + 15*d + 36 = 0. Suppose d*s = -u + 6, 12*u - 9*u - 2*s - 7 = 0. Solve 0 = -u*c + 4*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3578928906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p = -4*q + 28, 0 = -5*q + 30. Which is the closest to -20?  (a) p  (b) -108  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 292 + -20. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*m - 2*m - m)*(0*m - 214*m + 13*m)*(-5 + 3 + 1).\nAnswer: 1206*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*n - 978 = -3*g, 0 = 2*g - 7*g + 133 - 123 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 2476.\nAnswer: 7428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 445220*r**2 - r - 88. Let c be s(-8). What is c rounded to the nearest 100000?\nAnswer: 28500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 1523253?\nAnswer: 1523255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -188, -736, -1656, -2954, -4636, -6708, -9176, -12046?\n\"Answer: -j**3 - 180*j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**2 - 80*k.\nAnswer: -5*k*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-144)\/(-36) - (-1 - -12))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -22 in descending order.\nAnswer: 1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -65\/1338281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.686 rounded to two decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 58248 and 101934?\nAnswer: 407736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -1) + (16 - 8) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 + 12)\/(0 + 2). Let c = 0 + j. Does 10 divide ((-2)\/c)\/((-5)\/300)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -247*p**3 + 4038*p**2 - 4038*p**2.\nAnswer: -247*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -121.375 minus -71343919?\nAnswer: 71343797.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.215022 years in millennia?\nAnswer: 0.008215022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, h: 3, o: 1, z: 3, g: 1, e: 3}. Give prob of picking 2 e and 1 h.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55\/(-11)*78\/30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/198 and 97\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -82 - -238. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 145\/4. Let l = 232 - 231.975. Let q = 0.125 - l. What is the closest to -1 in u, q, 0.14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 7729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 i, and 1 h when four letters picked without replacement from {x: 1, i: 2, o: 2, h: 1, t: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 2. Let t be (-1 + v - -2) + -6. What is the units digit of (3\/6)\/((-1)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -257 - -251. Let t(d) = 17*d + 107. Let v be t(o). What is the nearest to 3\/10 in 2, -5, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 12, 4.\nAnswer: 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 12 = r. Let v(i) = i**3 - i**2 - 3*i - 3. Let o be v(3). Let l be r\/o*(-3)\/(-9). Which is the closest to -1?  (a) 4  (b) 1\/4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9, 38, 87, 156?\n\"Answer: 10*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 12:27 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, d: 2, e: 1, y: 1, p: 1}. Give prob of picking 1 y and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10079 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 385571914 to the power of 1\/2, to the nearest integer?\nAnswer: 19636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(1539)*-2 - sqrt(1539) - (2 + -2*sqrt(931)))**2.\nAnswer: 182*sqrt(19) + 3260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 3*g + 0 + 47 = 0, 4*l - 4*g = -36. Let t(d) = 2*d + 12. What is t(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -24*h**2 - 130*h - 76 = 0.\nAnswer: -19\/4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -504, -2025, -4566, -8133, -12732, -18369, -25050?\n\"Answer: -x**3 - 504*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 31*t**2 - 39*t - 271. Let i be w(-30). Sort 52, i, 9.\nAnswer: i, 9, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-24))\/(1\/16). Suppose 389 = 3*d + 3*t - t, d - s*t - 139 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 85858596 by -4.\nAnswer: -21464649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 0)*(0 + 0). Suppose m = -2*h + 7 - 3. Calculate the least common multiple of 8 and ((-2)\/(-2) + 5)\/h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i - 64. What is t(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1335 + 1334. Which is the nearest to i?  (a) 2\/11  (b) -21  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -11*j**3 + 9*j**2 - 3*j - 5. Let w(z) be the third derivative of z**6\/24 - z**5\/15 + z**4\/12 + z**3\/3 + 961*z**2. Give -4*g(v) - 9*w(v).\nAnswer: -v**3 - 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*(-7 - 26*y**2 - 17*y**2 + 9).\nAnswer: 86*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (182*r + 135*r - 82*r + 170*r)*(-9 - 10 + 29).\nAnswer: 4050*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 54 = -0*r + 3*r, -5*t + 36 = -3*r. Calculate the highest common divisor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 4 + 14*t**3 + 2*t - 2*t**3 to the form j + i*t + w*t**3 + d*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -975541 + 1?\nAnswer: -975540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 410775659?\nAnswer: 7, 1361, 43117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(2\/3))**(-2\/31)*(w*w**(2\/5)*w)**11)**(-2\/71))**(-10) assuming w is positive.\nAnswer: w**(49024\/6603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.1  (b) -1644  (c) -10\/3  (d) -4  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of y**4\/4 + 2*y**2. Let b(u) = -8*u**2 - 10*u + 10. Let k(v) = v**2 + v - 1. Let o(m) = -b(m) - 10*k(m). Calculate o(h(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 11 - 35. What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7477530 or 0.5?\nAnswer: -7477530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -517*o**2 + 248*o**2 + 3 - 309*o**3 + 272*o**2 in the form a + s*o**2 + g*o**3 + z*o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 337 - 224. Let m = b + -115. Is -16\/13 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20919855 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 903081151 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 12*f**2 + 22*f - 16. Determine d(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.63 - 1.47. Let v = y + 12.2. What is the closest to v in 5, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/6*3\/10)\/((-936)\/(-1170)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3956134 and 546?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 z, 1 h, and 1 k when four letters picked without replacement from kkhkkhkzhkqk.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -147*a**2 - 6376 + 6376 - 3*a + (0*a**2 + a**2 + 0*a**2)*(0 - 3 + 2) - 2*a**2 + 3*a - 3*a.\nAnswer: -150*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14\/293 + 246971\/586. Let w = -414 + x. Factor w*l + 15*l**3 - 15\/2*l**4 - 15*l**2 - 3\/2 + 3\/2*l**5.\nAnswer: 3*(l - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*z - 348*z + 116*z + 119*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -44 and -0.125.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from pipissspispsssppi.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 869.8277 millilitres to litres.\nAnswer: 0.8698277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**2. Let z(y) = 2*y + 5*y - 16*y + 7*y. Let d(s) = -48*s. Let w(f) = d(f) + 4*z(f). Give h(w(q)).\nAnswer: -6272*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 110110001000001101111?\nAnswer: -110110001000001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 10:55 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.03 + -0.07. Let l be ((-2)\/(-10))\/(6\/15). Let a = 2287 - 2273. Put a, l, -0.4, b in descending order.\nAnswer: a, l, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4251)\/(-1638) - -70*(-5)\/300?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48 + -48. Sort q, -7, 3.\nAnswer: -7, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13286\/41?  (a) 4  (b) -2  (c) 2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(143) - 2*sqrt(143)))\/(sqrt(77)\/(sqrt(7)*2)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -5*s**2 + 4. Let b(f) = 14*f**2 - 11. Let a(q) = 4*b(q) + 11*y(q). Let o(t) = -174*t. Give a(o(g)).\nAnswer: 30276*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 49919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**4 - 9*g**3 + 657*g**2 + 22*g. Let n(s) = s**4 - 5*s**3 + 329*s**2 + 12*s. Let d(u) = 6*l(u) - 11*n(u). What is the third derivative of d(k) wrt k?\nAnswer: -120*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + p = -1, 5*p - 5 = -3*a + 16. Let u(l) = l**3 + 15*l**2 + 2*l - 8. Let j be u(-7). Let y be j\/30 - 1\/3. Solve -5*f - y = -a*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1031*s + 8*s**2 + 6*s**2 - 1030*s wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/7*(-273)\/13. Suppose 0 = -2*m + 4*m + 4*r + 6, -p*m + 1 = -4*r. Let i(n) be the second derivative of 8*n**3\/3 + n. Determine i(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -0.5, 105, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7249199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-9)*12\/36*213\/(-1349).\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*j + 38, -3*h = 2*h + 5. Let u(q) = -5*q**2 + 0*q**2 + j*q**2. Let v(b) = -5*b. Determine v(u(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.69777 to 2 decimal places.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38 and 1729.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 885738392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -4*j**2 + j - 2 + j - 24*j**3 + 22*j**3. Let r be p(4). Round r to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*-448.\nAnswer: -268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -272?\nAnswer: -3\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/48 - 38\/12. Let c be (-4 - -4) + -45 + w. Let o = -2 - c. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 11.2. Which is the smallest value?  (a) k  (b) -6  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2921349.\nAnswer: 3, 97, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 7\/20?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31037\/20 - 1554. Suppose 0 = -2*d + 2*u - 0*u - 38, d - 3*u + 21 = 0. What is the common denominator of k and (-4)\/d - 1250\/(-288)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-14) - 584\/(-14). Let d be 4*1\/i - 1. Let o = 4\/7 + d. What is the nearest to o in -2, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 279 a factor of 212544432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 672589 plus 272?\nAnswer: 672861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -377, -744, -1111, -1478?\n\"Answer: -367*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1182*j**3 - 2367*j**3 + 1196*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 38, 55, 72?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8111693 rounded to 3 decimal places?\nAnswer: 1.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 600557 by 24.\nAnswer: 600557\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41739 divided by 13913.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 1, m: 1, p: 2, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000169417347 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66181 is divided by 2544?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 28.2, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - a = 5*t - 138, 5*a + 50 = t. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 262524, 262680, 262836?\nAnswer: 262992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**3 - 4*k**2 + 2*k + 1. Let g be j(2). What is the second derivative of 1 + 2*x**g + x - 1 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 5*f - 55 = 0, -24 - 15 = -5*y + f. Suppose y = 4*a - 9. Let i be (-130)\/(-39) - (-2)\/(-6). Solve -5*c - a + 24 = -5*r, -r - i*c - 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((6*(sqrt(308) - (-1*sqrt(308) + sqrt(308)) - sqrt(308)))\/(sqrt(891) - (sqrt(891) - sqrt(891)*2)))\/(2*2*-1*sqrt(400)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 + 23.87. Let r = 1.87000348 - n. What is r rounded to seven dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 - 21. Suppose -11*r + 8*r + 369 = m. Solve -118*v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-1)*1*30\/(-6). Let y(r) be the third derivative of 1\/360*r**d + 0 + 1\/36*r**4 + 0*r**3 - 23*r**2 + 0*r. Determine n, given that y(n) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4*z**2. Let a(w) = 44*w**2 - 16*w + 16. Let k(f) = 9*f**2 - 3*f + 3. Let v be 4 + (1 - -13) + -2. Let c(b) = v*k(b) - 3*a(b). What is c(u(t))?\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 221 - 211. Calculate the highest common factor of 130 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67950.38 nanometers in kilometers?\nAnswer: 0.00000006795038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 11*h**3. Give z(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 140019 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, 3\/5, -1, 0, -0.9, 1051?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/(-27)*(-4)\/10. Let s = -4.7 - 0.3. Which is the nearest to y?  (a) -1  (b) s  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 55 + -52. Suppose p + c*p - 5*d - 27823 = 0, p + d - 6949 = 0. Suppose -2*b = 6*b - p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178*4.\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23925.8 + 21501. Round c to the nearest 10.\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 579. Calculate g(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1392968 nanoseconds to milliseconds.\nAnswer: 0.0000001392968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43638 is divided by 43631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 322*b**3 - 145*b**3 - 160*b**3 + 19 - 215*b**3 - 19.\nAnswer: -198*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (2 - 6) + (30 - 16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**3*u*w**2 - l**3*w**4 + l**3*w**2 - 23*l**2*u*w + 4*u*w**3 - 9*u + 178*w**5 wrt w.\nAnswer: -24*l**3*w + 24*u + 10680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -641 + 641. Sort -13, u, 1\/6, 4\/7.\nAnswer: -13, u, 1\/6, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 41341042?\nAnswer: -41341035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13858908 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 12 = -5*l, 181*l - a = 180*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*b + 262, l - 179 = -b + 58. Suppose 4*j + 6*a - 3*a = 193, 5*j = -4*a + l. Suppose 2*r = -2*r + 64. What is the remainder when j is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 - 27. Suppose -5*w - 4*v = -21, -5*w + 5*v = -y + 9. Solve 0 = -2*m + 3*m, w*m = -2*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 47*h**2 - 3*h + 3. Let r(p) = -46*p**2 + 3*p - 3. Let y(j) = 2*d(j) + 3*r(j). What is the second derivative of y(s) wrt s?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -18*j + 2. Let b be (-16)\/(-4) + -1 + 0. Suppose p + 2*w - 1 = w, b*p + 1 = -w. What is the tens digit of r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -3*i - 26. Suppose -i*b + 5*g = -0*b + 1, 5*b - 11 = 2*g. What are the prime factors of (236\/(-6))\/((-1)\/b)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 15 + (5 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.49383532 + -1.3\nAnswer: -1.79383532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-12) - 4\/(-12). Suppose -2*b + r - 9 = 0. Let u be 1 + ((-8)\/2)\/b. Solve 5*f + 3 + u = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 37\/7 + (-12)\/42. Let n(o) = o**3 - 6*o**2 - 3*o + 7. Calculate n(i).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4712 to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.34 - 0.18. Let q = -0.01 + s. Which is the closest to 0?  (a) 0  (b) q  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 303141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 77*x**3\/6 + 20*x. Let k be d(1). Let f = k - 29. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, b: 2, c: 3}. Give prob of sequence cb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-130)\/(-18) + -4 - 4\/18. Suppose 5*o - o = 5*l + 41, 2*l - 10 = -5*o. Which is the nearest to -0.1?  (a) u  (b) -1\/5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -c**6\/30 + 2*c**5\/5 - c**4\/2 - 20*c**3\/3 - 25*c**2\/2 + 9*c. Factor l(i).\nAnswer: -(i - 5)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 134?  (a) -3\/4  (b) 6  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 3*x**2 - 3*x + 4. Let z be p(4). Suppose -3*v + 2 = z. Let y = -3.4 - -4.4. Which is the closest to 0.1?  (a) y  (b) -0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12999076 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 4793830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1896 and 220568?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/304?\nAnswer: 1\/304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 11, w: 2, q: 1}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3082 - 3077. Calculate the least common multiple of 1327 and r.\nAnswer: 6635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**4 + g**4 + g**4 + (4*g**3 - 3*g**3 - 2*g**3)*(-g + 0 + 0) + g**3 + 35*g**4 - 161*g**4 - 2*g**3 + g**3.\nAnswer: -122*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 97855 + -48726. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1094 is divided by 357?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wplp when four letters picked without replacement from pwwqwwwplwwpwwwwpll?\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*v**5 + 17516*v**3 + 42*v**2 - 1547499*v + 3?\nAnswer: -80*v**3 + 105096*v + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4*p - 18 = 0, -t - p + 63 = t. What is the greatest common factor of 66 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 216\/16 - 1\/(-2). Suppose -2*t - u = 5*w - 48, -4*t - w + 104 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(24)\/((1*sqrt(72))\/sqrt(6) + sqrt(12)) + 1*sqrt(20)\/(6*sqrt(50)\/sqrt(5)) + 2)**2.\nAnswer: 4*sqrt(2) + 89\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.03 - -0.33. Which is the closest to -3?  (a) -65  (b) 2\/11  (c) -0.3  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 t when three letters picked without replacement from {h: 1, m: 1, d: 4, t: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 267 = -8*m. What is the remainder when 233 is divided by m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -2*v + 6. Let n(z) = 3*z**3 + 5*z**2 + 4*z - 1. What are the prime factors of n(v)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/10*5\/(-6). Let k = 68 - 59. Suppose v - 2 = 2*d - 8, 3*d = v + k. Is n less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 6*u - 2. Let q be m(-6). What is the tens digit of (110\/(-33))\/(q\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 + 7*z**2 + 44*z.\nAnswer: -z*(z - 11)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 3427 = -57572. Suppose 0 = -5*t + p + 183551. Let y = t - 111876. Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -13*v**3 - 24*v**2 - 19*v - 45. What is the units digit of j(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 11275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 5*h**3\/3 + 1835*h**2 + 673445*h + 173. Factor l(d).\nAnswer: 5*(d + 367)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1300 (base 6) in base 13?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 0.74, 1, -0.2 in decreasing order.\nAnswer: 1, 0.74, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -21.46. Let r = q + -0.4533. What is r rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m**2 - 3*m. Let i(q) = 2*q**2 - 2*q + 6. Let n(j) = 1. Let k(g) = i(g) - 6*n(g). Let t(w) = 5*k(w) - 4*l(w). Determine c so that t(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**2 - 1530*r - 7775 = 0 for r.\nAnswer: -5, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*j = 30*j + 1266. What are the prime factors of j?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 3870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 - 2*o + 16. What are the prime factors of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.00605ml to litres.\nAnswer: 0.00200605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**3\/30 + 19*w**2\/20 - 17*w\/5 + 55. Determine x so that t(x) = 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -1281 + 401. Let g(r) = r + 9. Let q be g(-4). Let j(a) = a**2 - 3. Let f be j(q). Calculate the highest common divisor of f and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**2\/3 - 284*z\/3 = 0. What is z?\nAnswer: -142, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25.2 + 25. Which is the second smallest value?  (a) n  (b) -3  (c) 4  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10617923 > -10617945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12420222, -12420225, -12420228, -12420231?\nAnswer: -12420234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**20*j*j*j**1*j assuming j is positive.\nAnswer: j**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 5 = -1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -472*k**2 - 222*k**2 + 185*k**2.\nAnswer: -509*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 19507595737 - 371?\nAnswer: 19507595366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -6.4.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 6 = 23. What is the highest common divisor of h and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17096 by 4574.\nAnswer: -8548\/2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**4\/p**(-4\/11))\/(p*p*p\/p**(-5\/4)*(p*p**(1\/4))\/p) assuming p is positive.\nAnswer: p**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9821485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 2799730?\nAnswer: 2799730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a + 2*a + 7*a as y + w*a and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from syxjdhj. What is prob of sequence jhs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 409239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-220) - (-24)\/(-22))\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7813879\/46 < 169866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4*z = 440 - 1232, -4*m + 4*z = -1620. List the prime factors of m.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(-3\/4)*u))\/u*u*u)\/u**(1\/5)*u*u**(1\/7)*u*u*u*u**(1\/7) assuming u is positive.\nAnswer: u**(817\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*d + 1200 - 18*d + 41*d + 450 + 4221 in the form m + y*d and give m.\nAnswer: 5871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -8*s + 138. Let b(l) = 65*l - 1105. What is 3*b(w) + 25*m(w)?\nAnswer: -5*w + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -14028208 divided by -3507052\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 2575 + 319 = 2*f, 4*f - 5758 = -5*z. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -135.873335 take away -1.8?\nAnswer: -134.073335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (q**3 - 3*q**2 + 3*q**2)*(-2 + 2 + 3*q) - 1233 + 416 + 416 + 9214*q**4 + 401 in the form m*q**2 + k + v*q**4 + h*q + y*q**3 and give v.\nAnswer: 9217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 19469970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 3:19 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/(-180)*(3 + 108)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3130.3 - -2495. Let y = 635 + x. Let o = 0.2 - 2.2. Sort o, 3.3, y in ascending order.\nAnswer: o, y, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.67564 micrometers in nanometers?\nAnswer: 4675.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from xaxxxxbxpxxaxbxxxxa.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -15*x - 32. Let r be 7 - (49\/x + 3). Suppose -2*n = -4*n + 60. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - 8) + (6 - 27) - 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**2 - 33455*s - 7192566. Determine c(-211).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-24) - (-11303)\/6. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -7*k**6\/3 - 354*k**5\/5 + 321*k**4\/2 - 166*k**3\/3 - 54*k**2 - 1410. Determine s, given that o(s) = 0.\nAnswer: -27, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 91883041 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(9\/73) + 2. Let g(m) = 13455*m + 67253. Let y be g(-5). Is y at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((5\/15)\/1)\/((27\/3)\/(-63))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**2 + 59*j - 67. What is n(9)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snnzzzdzds. What is prob of sequence nz?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -76*o - 1827. Calculate the remainder when 84 is divided by u(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*t + 28386 = 21*t. Which is bigger: 497 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.9223894 and 0.5.\nAnswer: 0.4611947","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve 80*a + 1582 + 693 = 275 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2*h + 2)*(2 + 3 - 3) - 3 + 3 + h)*(5*h + 7*h - 3*h).\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636 is divided by (-1)\/((-287)\/(-656) + (-1 - (-2)\/4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zcwp when four letters picked without replacement from phczmwc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m + 1. Let n(t) = t + 1. Suppose -2*h - 7 = -h. Let r(a) = -2*a - 9. Let u be r(h). Calculate u*n(p) - 6*s(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100483 is divided by 779?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p + 237 - 237 as y*p + n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174480.\nAnswer: 2, 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*1\/(-3)*3. Let f = -31.2 + 29. Let s = -0.2 - f. Sort q, s, 4\/7 in decreasing order.\nAnswer: q, s, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = m - 5759, -u - 108*m + 5743 = -111*m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3092 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 154715\/5335 - 1187*(-3)\/(-123)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*l + 141786 + 96774. Does 142 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 7:03 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/5593331 or 0?\nAnswer: 5\/5593331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -1. Let w(l) = 4*l + 26. Let b be w(-11). Let j(s) = s**2 - 8. Determine b*v(q) + 2*j(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**2 - l**4 + 4*l**2 + (5 - 2*l**3 - 5)*(6*l - 3*l - 4*l).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**4\/5 - 1457*i**3\/5 - 546897*i**2\/5 - 11574531*i\/5 + 89451486\/5 = 0. Calculate i.\nAnswer: -717, -29, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/(-6))\/((-30)\/45). Suppose -30 = -p - 2*p - 5*k, 3*p - 3*k = 6. Let b(u) = -u**3 + 4*u**f - 3*u + 4*u**2 - p - 2*u**2. What is b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1055091, 2110118, 3165145, 4220172, 5275199?\n\"Answer: 1055027*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**4 - 2478960*r**3 - 9915876*r**2 - 9915888*r = 0. Calculate r.\nAnswer: -2, 0, 826324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p - p**3 + 5*p + 2 + 67*p**2 + 0*p - 70*p**2. What are the prime factors of l(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 52*k + 12. Give f(3).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 + 5*h**2 + 8*h - 7. Let m(f) = -3*f - 6. Let l be m(-4). Is 2 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1908 - -7205. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + s**4 - 2*s**2 - 4*s**3 - s**4 - 2*s**4 + 0*s**2 in the form l + g*s**3 + w*s + v*s**4 + m*s**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/22)\/(2\/22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-1))\/(42\/42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -7  (b) -0.3  (c) -2\/7  (d) 0  (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3511147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 - -45. Suppose 0 = -9*d + t*d. Suppose d = 5*r - 307 + 42. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -2. Suppose g + 5*v - 79 = 0, -52 = -2*g + 5*v + 31. Let a be g\/(-14) + 6 + -2. What is the second biggest value in s, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39923857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2\/3, -6, 2\/3 in descending order.\nAnswer: 2\/3, -2\/3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 159.8 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 52*p**3 + 21*p**2 + 7*p + 11. Is b(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(119) + 3*sqrt(119)))\/(sqrt(448)*-2) - -3*-4*(4 + 1 + sqrt(17) - sqrt(17))*-1)**2.\nAnswer: 60*sqrt(17) + 14417\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -34\/230345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 25937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 675195977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86803008, -86803006, -86803004, -86803002, -86803000, -86802998?\nAnswer: -86802996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 198798 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 3, f: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6643105\/102 + -65127. Find the common denominator of y and -1\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1176 and 113288.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of y**4\/6 - 5*y**3\/6 - 8*y**2 - 17*y. Does 13 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1059, -2088, -3117, -4146, -5175?\nAnswer: -6204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1116 + 1116.3. Which is the smallest value?  (a) -12.4  (b) y  (c) 3  (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1211 + -2.9513544\nAnswer: -1213.9513544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 11*z + 7246. Let j(o) = 152*o. Give j(h(t)).\nAnswer: 1672*t + 1101392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -31*q**4\/12 - 37*q. Let n(w) = 4*w. Calculate n(v(l)).\nAnswer: -124*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -110363676938 minus -5?\nAnswer: -110363676933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - w + 2*w**3)*(3 - 5 + 4)*(3 - 5 - 1)*((-24 + 24 - 28)*(-w + 5*w - 2*w) + (-4 + 2 - 1)*(4*w + w - 4*w)).\nAnswer: 708*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1986342?\nAnswer: 2, 3, 43, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**2 + 11*k - 5. Give d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.9 + -2. Let i(n) = n - 6. Let r be i(6). Let h be (r - 1)*2\/(-2). Which is the nearest to u?  (a) h  (b) 2  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-4))\/((-2)\/(-16)). What is the units digit of (-6)\/(o + (-38)\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2300 - -2299.996814. What is d rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2452 times -0.2606\nAnswer: 638.9912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o - o - 16*o + 7*o - 1. What are the prime factors of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 + -919\/20. Let j(o) be the second derivative of 1\/2*o**3 - u*o**5 + 4*o + 0 - 1\/2*o**2 - 1\/4*o**4. What is j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41400\/2700)\/((-3)\/((-9)\/4))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 12*y + 519. Calculate f(-18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20)\/24 - (-1)\/3. Let t = -42 + 42. Put t, n, -1\/7 in increasing order.\nAnswer: n, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 18 = -5673*z + 5671*z, -5*s + 4*z = 41 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 + (-200)\/(-6). Suppose -y - 488 = 542. Let b = y + 1033. Calculate the highest common divisor of b and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -151 - 42915?\nAnswer: -42a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = -57972 - 69342. Let b = -65573\/3 - i. Let w = b - -644. Find the common denominator of w and -73\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = 21*q + 17*q. Suppose 15 = -4*l + 3*g, 3*l + 7*g - 25 = q*g. Solve 5*i + 4*a - 21 = l, 0*a - 20 = -5*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*b - 38*b + 7722 = 0 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2237 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43347 - -43373.021. Let w = 26 - z. Round w to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 308, -1042, -5130, -13324, -26992, -47502, -76222, -114520?\n\"Answer: -228*q**3 - q**2 + 249*q + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5488 + 16372. List the prime factors of v.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s\/s**(-1\/2)*s))\/s)\/(s\/s**0))**30\/(s**6\/(s**(-5)*s*s)*(s*s*s\/(s**(-2\/3)*s)*s)**(2\/15)) assuming s is positive.\nAnswer: s**(-5152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 987682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 51\/9)\/((-24)\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 3:45 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*f = n - 46, 3*f = 2*n + 25. Suppose -4*m + f - 1 = 0. Is ((-18)\/(-4))\/(1\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 310 - 308. Factor y - 1\/4*x**2 + 1\/2*x.\nAnswer: -(x - 4)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 832 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -408.\nAnswer: -1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1328 divided by -4?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -29 + 27 - 126*f + 108*f. Let m(r) = -9*r**2. Calculate q(m(i)).\nAnswer: 162*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**2 + 725*i - 1261500 = 0.\nAnswer: -580, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + k**2 - 100*k + 110. Determine o(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 - 8*k - 11. Calculate f(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, f: 1, b: 1, e: 1, y: 1, m: 2}. What is prob of sequence mmlb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*y**3 - 115*a*y**2 - 3*a*y + y**3 - 13*y - 1 wrt y?\nAnswer: 6*a*y - 230*a + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5499 and 6721.\nAnswer: 60489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7356 + 274476702.\nAnswer: 274484058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239972793 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 + -50. Let a = k - -33. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44470437?\nAnswer: 3, 11, 223, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -214, -321?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 16*g - 9. Let u be j(-17). Let p(l) = -6*l - u + l + 0*l**2 + l**2 + 0*l**2. Let q = 1 - -5. What is p(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2494874?\nAnswer: 2, 59, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.6 + -3.5. Suppose -6*j + 5*j + 14 = 3*u, 0 = -4*u + 5*j - 13. Which is the closest to o?  (a) u  (b) -4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39960240.\nAnswer: 2, 3, 5, 31, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 4, -141, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -291 - -195. Let f = 437 + n. Calculate the highest common factor of 31 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 205.42 - 3.42. Let y = -350 + r. Let d = y + 153. Which is the nearest to -2?  (a) 0  (b) d  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 take away -4150.718?\nAnswer: 4151.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*s**2 + 18*s**2 - 9*s**2 + 3*s**2 - 2*s**2 - 10*s**2 + 9*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -3*g**7\/70 + g**6\/40 + 3*g**5\/20 - g**4\/8 + 2*g**2. Solve c(o) = 0 for o.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkottkokkook. What is prob of sequence oto?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -i**4\/24 + i**3\/3 + 9*i**2. Let a be z(0). Let l(n) = 3*n + a*n + 0*n - 3*n. Let y(m) = 8*m. Determine l(y(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/21, 0, -18.6, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 4, 17, -4, 5 in decreasing order.\nAnswer: 17, 5, 4, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 10. Suppose 2*w = g*w - 10, -5*o - 5 = w. Is o\/3*(-753)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sa when two letters picked without replacement from aahahhhakahhaaaas?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 + 117*k - 230. Let v be g(2). Solve -14*p + 159 - 103 = v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 - 63. Let s(k) = 39*k**2 + 23*k - 29. Is s(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 112 - 297. Let t = 184.999841 + x. Round t to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 149*h**6 + 194*h**2?\nAnswer: 17880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.7 + -16.7. What is the smallest value in -4\/3, -1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116593.5636 + 11.\nAnswer: -116582.5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 8, z: 3, j: 2, s: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) 7  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -697 - 304 = -22*o + 77 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1165, 2328, 3491, 4654?\n\"Answer: 1163*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1162*p**2 - 584*p**2 + 365*p - 572*p**2 - 2829*p**3 wrt p.\nAnswer: -16974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*y + 842 - 9020 = -97*y for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/1404 and -85\/1674.\nAnswer: 43524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of o**3\/3 + o**2\/2 - 7*o - 5. What are the prime factors of m(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.116 less than 253.0966?\nAnswer: 249.9806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(77)*-6)\/sqrt(7).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 + 1253052?\nAnswer: 1253122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 11*b**2 - 32*b - 4. Let o be d(15). Suppose -c - 4*c = 4*q - o, q - 234 = -4*c. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8519 divided by -6.\nAnswer: -8519\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 29*v**2 + 27*v - 11. What is the tens digit of n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 3*o + 41, 0*l = -2*l - 3*o + 35. Let h(z) = -116*z**2 + 1735*z + 76. Let i be h(15). What is the highest common divisor of i and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17215 + -625?\nAnswer: 16370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 3:57 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -68044724*n. Let c(h) = -2*h. What is f(c(m))?\nAnswer: 136089448*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - g = 5, 2 - 4 = 4*n - 2*g. Let m be 2*(-1)\/n*-5. Suppose m*z + 162 + 148 = 5*i, i - 87 = -4*z. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (12*g**2 - 4425 + 4425 - g)*(1 - 11 + 46)*(0 + 2 - 4) as t*g + o + h*g**2 and give h.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79502*l - 42775*l - 36729*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1415, 0.1, 32 in ascending order.\nAnswer: -1415, 0.1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -498752, -498756, -498760, -498764?\nAnswer: -498768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 10*s = -8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 519 is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -9*u. Let z(k) = 4*k. Suppose -2*f = -2*b - 8, b + 4*b = -5. What is f*a(h) + 7*z(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 divided by -10730166?\nAnswer: 19\/10730166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - c = 12, -r + 4*c + 11 = c. Suppose -4 = -2*t - 0*t. Suppose l - 3*l = -t. Solve 19 + l = r*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 123695272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 3892*p**3 + 4 + 1431*p**3.\nAnswer: -2461*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + 4 + -17)*((-2785)\/120 + 23).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*b**5\/13 - 1634*b**4\/13 - 100782*b**3\/13 - 493486*b**2\/13 - 6684*b + 307440\/13 = 0. What is b?\nAnswer: -183, -84, -5, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*p - 42*p - 5*b = -9*p - 40, 5*p - 180 = -25*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h - 311885. Let b(j) = -j**2. Calculate y(b(t)).\nAnswer: 2*t**2 - 311885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*y + 246*y - 3440 = 51*y for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, -3, -62, -173, -354, -623?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20139*k + 9850*k + 15298*k)*(-3*k - 1 + 1)*(-2*k**2 + k - k).\nAnswer: 30054*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3\/7 + 78765004*m**2\/7 + 55392189508928*m - 55392200761072.\nAnswer: 4*(m - 1)*(m + 9845626)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 70\/(270900\/(-135))*(1 + (-2)\/3)\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r**2 - 57*r + 680. Let k be f(-37). Solve 6*i - k = -57 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 12:21 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -20, -3*l = -y + l - 9. Suppose -3*t = -y*t + 144. What is the greatest common divisor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lltllllltllt. Give prob of sequence tlt.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7942, -15423, -22906, -30391, -37878?\nAnswer: -45367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 10717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12100326?\nAnswer: 2, 3, 7, 61, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -906, -1803, -2702, -3603, -4506?\nAnswer: -5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 5*f + 808, 611 = -5*f - 3*p - 185. Let i = -113 - f. Suppose -3*h + 5*k = 2*k - 36, 3*h = -k + i. Solve 2*u + 6 = 4*z, 3*u - h = -0*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33301210 (base 4) in base 5?\nAnswer: -4031422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/15, 2.55, 0.1, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 + 22 + 20 - 58 + 9473*o in the form t*o + y and give t.\nAnswer: 9473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + (2 + -29)*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2718493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77220\/(-3575) - 21846\/(-935).\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-3 - -1 - (-8 + 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - 6*t**2 + 5*t - 2. Let n = -35 - -55. What is the least common multiple of f(-7) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uyy when three letters picked without replacement from {y: 2, u: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-6) - 4\/6. Suppose -4 = -2*r - 2*k - 0, -4 = 2*k. Solve c = r*a - 7*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 3 = 0, -4*x - 4*w - 1783 + 1803 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 4)*((-3 + 4 + 0)*(-1 - 4 + 3) - 3 + 2 + 2)*(27*o - 10*o + 10*o).\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.298 - -0.298. Which is the third biggest value?  (a) 9  (b) n  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 100628578553.\nAnswer: 100628578547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((184\/(-3))\/4)\/((-15)\/45). Let v = -42 + h. Solve -5*s = -v*p - 1, -3 = 5*p + s - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/10013003 and -15\/26117.\nAnswer: 410533123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**2\/13 - 1894044*b\/13 + 448425334242\/13 = 0.\nAnswer: 473511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13 - -7) + (-3 - -13). Solve -f*n - n + 10 = -t, -3*n + 4 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39173817*g**5 - 42233160*g + 1?\nAnswer: -783476340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/2270516 and 83\/7736.\nAnswer: 4541032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lml. Give prob of sequence lm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - 329. Let t = 338 + l. Which is the nearest to 2\/5?  (a) -6  (b) -1\/2  (c) t  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -4. Let h = -6 - y. Let b = h - -1. What is the second biggest value in 5\/2, b, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 4) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 72 - 69. Let c(v) = 81*v - 14. What is the tens digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150444*i**2 - 30*i + 451318*i**2 - 150440*i**2 - 150443*i**2 + 30*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -54. Let m(q) = 3*q**2. Let g be m(1). Let j = g + x. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -348782.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-2\/11))\/n**(-25))\/(n**33\/((n**(3\/25)*n)\/n)) assuming n is positive.\nAnswer: n**(-1942\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 767, 1563, 2375, 3209, 4071, 4967, 5903?\nAnswer: 6885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/765*9*-1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 26*s - 260. Let h be r(8). Solve 0 = -3*c - b + 13, -5 + h = c + 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25564 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(1*(-1)\/(-2)). Let r(t) = 0*t + 7*t - 4 + t**y - 9*t. Calculate r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 29 + 59. Let q(k) = -k**3 + 4*k**2 + 6*k + 3. Let f be q(6). Let r = 77 + f. Calculate the highest common factor of h and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 5*h**5 + 40*h**4 + 55*h**3 - 40*h**2 - 60*h = 0?\nAnswer: -6, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/36*-4)\/(170\/(-102)*4\/100)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*x**4 - 2 - 2*x**3 - 7*x**4 + 12*x + 10*x**4 as l*x + w + y*x**3 + q*x**2 + b*x**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 9916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 15*g + 25. Let o be w(-17). Suppose -54*c + o*c = 5. Let y(v) = -2*v**3 + v**2 - v. What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fisqqdis. Give prob of picking 1 d and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.181 * -28.8.\nAnswer: 5.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from drsyouoouuyry. What is prob of sequence yy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -110, -249, -424, -593, -714, -745, -644, -369?\n\"Answer: 7*d**3 - 60*d**2 - 8*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3*-5*sqrt(16)\/sqrt(72) + -6*(-2 + sqrt(98))*-1 + 0)**2.\nAnswer: -962*sqrt(2) + 2907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 33, -2\/13, -2, -1, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -58088585*o**2 + 15964*o + 58099721*o**2 - 2561*o wrt o?\nAnswer: 22272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -422 divided by -6?\nAnswer: 211\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that y**4\/3 + 8303*y**3\/3 + 7659056*y**2 + 21184943360*y\/3 - 21207928832\/3 = 0.\nAnswer: -2768, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 0 + 242\/19*d**3 + 1540\/19*d**2 + 2450\/19*d = 0.\nAnswer: -35\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*g - 286 = -44*g. Calculate the remainder when 3880\/56 + -1 + 10\/14 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -84*h**2 + 144*h + 40. Let l(m) = -56*m**2 + 96*m + 27. Suppose -w - 3*i = -4*i + 10, 4*w + 5*i - 5 = 0. Let k(p) = w*r(p) + 8*l(p). Factor k(s).\nAnswer: -4*(s - 2)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9523 - 1990322\/209. Find the common denominator of p and -5\/836.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38\/9 + 161\/36. Let b(w) be the second derivative of -h*w**4 + 0*w**3 + 0 - 1\/5*w**5 + 0*w**2 + 5*w. Find the third derivative of b(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 678 - -12689. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(4 - (-1 - -7)). Solve 5*c + 4*y = 4, q*c - c - 5 = -5*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3482*y - 201305 = -16759 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(26) - sqrt(416))*4)\/(5*sqrt(32)))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -4. Let z = i - -3. Let s = -11 + z. Which is the biggest value?  (a) 5  (b) s  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.9282 and 7.\nAnswer: -34.4974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(154) + -3*sqrt(154)*-2)\/sqrt(11))\/(sqrt(448) - (sqrt(448) + (sqrt(448)*-1 - sqrt(448))*1)) + 3.\nAnswer: 7*sqrt(2)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(17) + -1 + sqrt(17) + -4*(sqrt(17) + sqrt(68)).\nAnswer: -10*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 710*m + 9. Let h be l(3). Suppose -49*t + 46*t = -h. Let q = t + -4973\/7. Calculate the common denominator of -26 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -73 + 72.6. Which is the smallest value?  (a) -25\/4  (b) -1\/4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43504163930 minus 286.5?\nAnswer: 43504163643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i + 0 + 0)*(i**3 + i - i)*(-3 + 6 + 1) to b*i**4 + r*i + z*i**3 + p + s*i**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/3 - (-365378)\/(-276783).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(539)*-3)**2.\nAnswer: 174636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*z - 23*z - 23*z - 23108*z**2.\nAnswer: -23108*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of q**9\/432 - q**6\/360 - 7*q**3\/6 + q**2. Let g(s) be the first derivative of y(s). Find the third derivative of g(z) wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 0*q + q**2)*(-349*q - 28*q + 14*q**3 + 79*q**3 - 243*q + 96*q).\nAnswer: 93*q**5 - 524*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 129  (b) 4\/7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-2)*3*7\/126.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-741 - 3*h - 116 + 332)*(4*h**2 - h**3 - 2*h**2 - h**3 + 4) to d + w*h + g*h**4 + f*h**2 + r*h**3 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 142 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7.05 from -2.\nAnswer: -9.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6789 + -6796 + -63 + 2\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 190216685*k**3 + 263342824*k.\nAnswer: 1141300110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyyyvyyyyyyy. Give prob of sequence yyy.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 17135 and 49.78.\nAnswer: 17184.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**6 + 2*d**4 - 5*d**2 + 20*d. Let c(v) = -v**6 + v**4 + 2*v**3 - v**2. Let u(s) = -2*c(s) + q(s). What is the third derivative of u(g) wrt g?\nAnswer: 360*g**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4406 + 4470. Solve -61 = -u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(216\/(-254)) + 380\/(-5130)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -522, 1, -3, 357 in ascending order.\nAnswer: -522, -3, -2, 0, 1, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 804, 783, 734, 645, 504, 299?\n\"Answer: -2*n**3 - 2*n**2 - n + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 6:36 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 55 - 50. Find the first derivative of 16*a + 20 + t*a - 7*a wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 450 = -6598*i + 6648*i. Let g(l) = 15*l + 3. Calculate the lowest common multiple of i and g(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 9*b**2. Let v be t(6). Let s = 12527\/132 - 999\/11. Calculate the common denominator of s and 21\/8*v\/(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.24 - -0.14. Which is the smallest value?  (a) l  (b) -7  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2047374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*o = 361*u - 358*u - 57, 0 = -2*o - 5*u - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2ac2c2f - 1?\nAnswer: -2ac2c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 975280 divided by -40\nAnswer: -24382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9445522 divided by -2.\nAnswer: -4722761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1545 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: Find the common denominator of 59\/9 and (-4 - -9) + (-106)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o + 2. Let q(w) = 7*w - 7. Let t = 3 + -9. Determine t*q(g) - 22*a(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 170334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20 in 5, 1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 333 - 183 = 50*s. Let n = 7 - -1. Solve -s*o - o = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 13, 5, 32, 51, 2, 11 in decreasing order.\nAnswer: 51, 32, 13, 11, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 42569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**4 + g + 2. Let t(v) = 256*v**5 - 176*v**4 - 208*v**3 + 188*v**2 - 56*v - 12. Let n(i) = -8*s(i) - t(i). Let n(m) = 0. What is m?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*((sqrt(85) - sqrt(85)*5*-3) + sqrt(85)))\/(-3*sqrt(605)*4))**2.\nAnswer: 4913\/17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 80*l**5 + 23439*l**3 - 78145*l**2 + 7*l?\nAnswer: 4800*l**2 + 140634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -89 + 34 + 130 + 12?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -0*m + 15. Suppose -15 = -y + 2*x - 5*x, -m*y + 95 = 5*x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 62341 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13840, 55358, 124556, 221434, 345992, 498230, 678148?\nAnswer: 885746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/k**(3\/25)*k**33 assuming k is positive.\nAnswer: k**(847\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 0\/(-6 - -3). Suppose q*h + 2*h = -275. What is h rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -160, -7, -1664?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 9*d**2 + 1. Let k be v(-9). Is 1 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -2.2. Let h = 196 - 3329\/17. Let v = h - 159\/34. Which is the nearest to 2\/5?  (a) v  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 - 121100211?\nAnswer: -121100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70783*a**3 - 15*a + 29 - 15 - 14.\nAnswer: 70783*a**3 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 5*u - 65 = -0*u, 0 = -u + 1. Let c(a) = a**2 - 5*a + 2. Let v be c(7). Let d = l - v. Which is smaller: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 28 = -4*c, -7*n + 6*n = -5*c + 5. Let s(y) be the third derivative of 0 - n*y**2 + 0*y - 1\/60*y**5 - 5\/24*y**4 + 1\/2*y**3. Give s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54810.94 litres in millilitres?\nAnswer: 54810940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2091 + 23953275.\nAnswer: 23951184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ygn when three letters picked without replacement from {g: 9, y: 4, f: 2, l: 1, n: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 3*o**3 - 9*o - 27. Suppose -14*x - 6 - 78 = 0. Let v(y) = 6*y**3 - 18*y - 54. Let j(a) = x*v(a) + 11*w(a). Find the first derivative of j(n) wrt n.\nAnswer: -9*n**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 28*h**2 - 3. Let z(y) be the second derivative of 0*y**2 - 109*y + 1 - 1\/3*y**3. Determine j(z(i)).\nAnswer: 112*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 514 + -289. Let u(l) = l**2 + 5*l + 6. Let p be u(-4). Suppose 0 = p*f + f + 4*b - h, 3*f = b + 210. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -771\/4 - -193. Which is the closest to w?  (a) 0  (b) -1\/5  (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 720\/(-420)*51\/((-1785)\/98)*5\/(-1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**3 - 26*k**2 + 54*k**2 - 179 + k**3 - k**3 - 27*k**2 + k**4 to the form l + r*k**4 + z*k**3 + i*k + v*k**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 854 = -274. Let q = m - -362. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6964259501?\nAnswer: 109, 373, 171293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(112)\/sqrt(2))\/sqrt(8).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.79823*5.\nAnswer: -3.99115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*p**4*q**2 + 7*p**3*q**2 + 4*p*q - 191*q**2 wrt p.\nAnswer: -564*p**2*q**2 + 42*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 32439000 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(-1)\/8*8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-205)\/30 + 7)*14 - 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of 7*y**5\/30 + y**4 - 15*y**2\/2 - 2*y. Let k(l) be the first derivative of n(l). Find the second derivative of k(i) wrt i.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3344037536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35993234 a multiple of 880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 299*y - 191*y + 1055 + 889 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(144) - (sqrt(144) + sqrt(144)*-3 + sqrt(144) + sqrt(144)))*1)\/sqrt(6))\/(sqrt(972)*3*2).\nAnswer: sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (242\/77)\/((-7)\/245*5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 210514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3360635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nvn when three letters picked without replacement from nbdkv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.026 + -30.026. Let a = -32.0856 - 0.0144. Let x = a - d. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 7*x**2 - 3*x - 4. Determine l(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b + a + 41 - 81, 1 = 4*a - 3 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 97.91 + -921168.91. Let n = b + 921023.9939. Let j = n - -47. Round j to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, e: 5}. What is prob of sequence rr?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6055 (base 12) to base 3.\nAnswer: -112022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -231 + 238. Calculate the highest common factor of 301 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 divided by 7941?\nAnswer: -15\/2647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -112, -246, -442, -706?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 143*y**2 + 414*y + 827. What is x(140)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 5 - (0 + 2). Suppose -m*q + 3*q - 4 = -2*y, 0 = -5*q. Let u be (-1)\/(-2) + 3\/y. Solve -u*l - 20 = -4*t, 0*l = -4*t + 4*l + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140767 is divided by 589.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.4 - 5. Let f = 4.1 - i. What is f rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1*sqrt(637).\nAnswer: -7*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -217\/6 + 107\/3. Let t = 0.05 + -2.05. Let u = 1 + t. What is the nearest to s in 2\/11, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1145 (base 8) in base 9?\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 + 0)*11\/4. Suppose -79*y - 6 = -73*y. Put y, n, -2 in descending order.\nAnswer: y, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1796 - 1766. Calculate the highest common factor of t and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -963796 divided by 166?\nAnswer: -5806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, e: 12}. What is prob of sequence gg?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -46*o - 70. Let u(f) = 31*f + 47. Let q(l) = -7*u(l) - 5*y(l). Let t be q(18). Let p = t + -122. What are the prime factors of p?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*t + 19*t + 21*t - 120*t + 38*t + 18*t - 34*t**3.\nAnswer: -34*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.2*0.06.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/((-15)\/9) - 3. Let g be ((-2)\/m)\/(2\/12). Solve 0 = 3*v + 5*o + 25, 2*v + o + 16 = -g*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6772?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (45\/27 + 3)*1404\/8. Calculate the highest common divisor of 126 and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66*-0.019\nAnswer: -1.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of q**7\/168 - q**4\/12 - 9*q**2\/2 - 310*q. Let f(p) be the third derivative of h(p). Let u(n) = -4*n. What is f(u(t))?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 391624 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7311 - 5262. What is the remainder when x is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13 + 793800?\nAnswer: 793813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159668?\nAnswer: 2, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 111199 and -0.4?\nAnswer: -44479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*q**4 + q**5 - 6*q**4 + (10*q**4 - 11*q**4 + 11*q**4)*(-27*q + 4*q - 30*q).\nAnswer: -529*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 15647643 less than 833104.2?\nAnswer: -14814538.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -34.78 and 0.0805043804.\nAnswer: -34.6994956196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149010441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1999\/18 + 662\/9. Let r = 19277\/6 + -3202. What is the common denominator of c and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (30\/(-18)*2)\/(33\/(-49797)) is divided by 1672.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 m, and 1 d when four letters picked without replacement from {x: 2, m: 6, b: 2, d: 3, c: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-32) - 33\/(-8). Let c(v) = 9*v + 3 - 8*v - 4*v. What is c(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of 1\/4*k**4 - 2 - 8*k + 0*k**3 + 0*k**2. Let h(f) be the first derivative of n(f). Let p(u) = 5*u. Give p(h(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*m + 36*m + 60*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11517.8 at most -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77896*v = 78035*v - 13205 for v.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -32*q**2 + 2. Let i be ((-2)\/(-3))\/(80\/(-192) + 15\/20). Let v(h) = -33*h**2 + 2. Calculate i*n(u) - 3*v(u).\nAnswer: 35*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 423\nAnswer: 4\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.01 and 80.2.\nAnswer: 80.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -31*y**3 + 2*y**2 - 1. Let i be u(1). Let v = -19 - i. Suppose 2*j = 0, 5*d - v - 24 = 2*j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 181647485 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**2 - 115304*h - 830938276.\nAnswer: -4*(h + 14413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.7 + 0.3. Let s = -223 + 2009\/9. Let h = -0.01 - 0.09. What is the closest to -2\/3 in s, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 2*u + 100. Let z be (-7)\/1 + (-2 - -3). Let y(c) = -c**2 - 8*c - 3. What is the remainder when u is divided by y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -100c535?\nAnswer: 100c530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 12 = -2*d, -16*d = 5*n - 11*d - 30. Solve -c - 4*x + 9 = 0, -4*x + 7 + 1 = n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u + 20 = 0. Suppose -u*i + 99 = 5*v, -38 + 3 = -2*v + 3*i. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7a (base 11) to base 3\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1197130 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.6  (b) 62  (c) -2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (w**3 + 2 - 2)*(6 + 4*w - 6)*(14 - 7 - 8)*(12 - 7 + 7) to l*w + f*w**2 + z*w**4 + s*w**3 + a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -30, 3, -0.11, 0, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 234 + 433\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9498\/36 - -1) + 1\/6. Suppose i = 84*a - 79*a. Suppose -a = 5*v - 63. Solve 0 = -5*m + v*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 234 and 1482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 390 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: Calculate the remainder when 876 is divided by 392.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/2519 + 5043\/12595. What is the nearest to z in -30, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*s + 208*s + 450 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2*y + 2 = 6*y, -2*y - 8 = 0. Let s(h) = h**3 + 21*h**2 - 66*h + 151. What is the remainder when d is divided by s(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/4  (b) 2024  (c) -30  (d) 0.01  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**2*w**3 - 2*b**2*w - 3*b**2 + 7*b*w**3 - 13*b*w**2 - 166*b + 15*w**2 - 4 wrt w?\nAnswer: -6*b**2*w + 42*b*w - 26*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xpyxtpyxxyyxppbx. What is prob of sequence byy?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3) - (-201)\/27. Let n = o - 1129\/144. Let h = 3\/1385 - -117719\/2770. What is the common denominator of h and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -4 + -10 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162228910.\nAnswer: 2, 5, 16222891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145159 divided by -46.\nAnswer: 145159\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -86 (base 12) to base 4.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 - 12. Suppose -190*u + 186*u + 36 = 0. What is the highest common factor of h and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 14) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-2)*44\/(-140). Let z = a - -1\/35. Let i = -109623 + 109622.98. What is the second biggest value in z, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -504 - -5\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 15*s + 2. Let b(j) = 3*j**2. Determine k(b(m)).\nAnswer: 45*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 14*h - 13. Suppose -5*d + 12 = -8. Let q be v(d). Let m = q + -36. Solve -a + 4 = m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/3 + 1163*o + 485482\/3.\nAnswer: -(o - 3623)*(o + 134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130541 (base 6) to base 8.\nAnswer: -27135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h + 4. Let m(k) = 3*k + 9. Suppose -u = -58 + 49. What is u*o(w) - 4*m(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7232907.\nAnswer: 3, 11, 149, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 8803 = 3*j, 3*j + s - 3*s - 8795 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/35853 and -55\/459.\nAnswer: 322677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*n - 470 - 1676 = -76*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1*(0 + 6\/39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 6*y - 110. What is the greatest common factor of y and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 580, -4, -3, 0 in decreasing order.\nAnswer: 580, 2, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 9*j - 1440 = 0. Calculate the remainder when j is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 101*p - 90*p + 44 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181749899 is divided by 930?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 2 + 12. Let j = 29 - 8. What is the remainder when m is divided by 99\/j - (-2)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2416*c**3 - c**2 - 2630 wrt c.\nAnswer: 14496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 255 (base 9) to base 6\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 240 = 3*l, -2*p + 5*l + 244 = p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 10 = 8*g. Which is the nearest to g?  (a) 15  (b) -5  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*((3\/(-14))\/((-6)\/(-20)))\/1?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {n: 7, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -33, 85, 283, 561, 919, 1357, 1875?\n\"Answer: 40*u**2 - 2*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 2 - 14. Let x = 6 - q. Suppose -o + 6 + 2 = 0. What is the highest common divisor of x and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.28711665 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 bigger than 3\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 15 = -j, p + 2*j + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -3. Let g = -3.7 + q. Let b = g + -0.4. Is b > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -25949*s**2 + 363282*s + 43. What is j(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1837.1 times 5.8?\nAnswer: 10655.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, j: 3}. What is prob of sequence rrjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 35 = 5*j, -8*j + 2*t = -3*j + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 3*t + 5*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 4*o - 26, 10 = 5*q - o - 0. Suppose q*c = -c. Let d(p) = p**2 + 15*p + 29. Let k be d(-13). Are c and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 5*a**2 + a + 11. Let m be r(0). Calculate the highest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-18)\/(-5) - 4\/(-10). Let w = -877 + 880. Solve -w*q = 3*u + 12, 3*u + c = 2*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2640205 (base 9) to base 14.\nAnswer: 298135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from -12.714.\nAnswer: -12.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 58518, -33.\nAnswer: -33, -5, -3, 58518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 633397415?\nAnswer: 5, 7, 18097069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 5*z - 6. Let f be u(8). Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 28267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jw when two letters picked without replacement from jjwjwjwwjwww?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/(-60))\/(7\/(12 - -2)). Let f = -60 - -60.37. Let o = 0.07 - f. Which is the nearest to 2\/7?  (a) o  (b) m  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a75d - 7?\nAnswer: 1a756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-990)\/34 - 22\/(-187). Let o(i) = -i**2 - 32*i - 43. Let n be o(x). Let r = 55 - n. Let h(t) = t**2 - 9*t - 16. Give h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of f**7\/840 - f**4\/4 - 6*f. Let o(x) be the third derivative of g(x). Let q(b) = -2*b**2. What is q(o(t))?\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.417 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 29435945 divided by 55\nAnswer: 535199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18951, 18868, 18785, 18702, 18619?\nAnswer: 18536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-492)\/48 - -10)*-20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 75*v - 42*v + 3*v**3 - 35*v - 5 + (-v**3 - v + v)*(0 - 4 + 2) to s + o*v**2 + i*v + k*v**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2034 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbkbbbbbn. What is prob of picking 1 k and 1 b?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 9*q**4 - 5*q**3 + 5*q - 5. Let f(c) = 26*c**4 - 14*c**3 + 14*c - 16. Let d(w) = -5*f(w) + 14*k(w). Differentiate d(u) wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6840)\/5016)\/((-12)\/(-22))*(-10)\/(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - -2 - 4) + 2. Solve l*f + 9 + 4 = -3*z, 4*z = f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4 = -2*j, -2*j + 0*j + 20 = -2*d. Let o(n) = -1 - 8 + 17 + 3*n. Let g(q) = -9*q - 23. Give d*g(s) - 17*o(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40.9999983 + -41. What is b rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3*r - 33 = -93, 2*h = -3*r + 50. What is the remainder when 482 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -202 - -201.9565. Let x = -0.1136 - u. What is x rounded to three decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.45 + -0.05. Which is the nearest to -1?  (a) z  (b) 0.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 4*n**3 - 19*n**2 - 17*n + 62. Let j be k(5). Sort -4, 0.6, -4\/3, j, -5 in descending order.\nAnswer: j, 0.6, -4\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -4*t + 9, 7*m + 25 = -5*t + 8*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -3, -0.5, -360, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 17501906.496 and 0.06?\nAnswer: 17501906.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*d + 19996 = 4*m, -d = -4*m - 3980. List the prime factors of d.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -17786665  (b) -2  (c) 0.4  (d) 0.3  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -132 - -136. Factor q*t**3 + 1240 + 46*t**2 + 50*t**2 + 185*t + 583*t + 808.\nAnswer: 4*(t + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-2*-4)\/(2*(sqrt(28)\/sqrt(4) + sqrt(7))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -605*i**3 - 143275*i**2 - 2910000*i - 15480000 = 0. Calculate i.\nAnswer: -215, -120\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -305 - -293. Let q = s + 24. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9.1 less than 2286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 31 = -3*f - 7, 4*h = 3*f - 10. Let v(d) = -3*d + 12. Let i be v(f). Let k = i + 24. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 18*n + 973. Let z be q(41). Suppose 55 = 2*u - 35. Calculate the greatest common divisor of u and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1010, -1011, -1018, -1031, -1050, -1075?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*l - 17710 = 0. Suppose -1222 = -12*o + l. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.01518 - 3.59602. Let t = c + 3.63. Round t to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*g - 88 = -354 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 130023 (base 4) in base 12?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1a46d8 - 2?\nAnswer: -1a46da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 145 + -58. Let x = n - -34. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-420)\/(-10))\/((-105)\/300*-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*h + 3*y, -3*y = -16 + 4. Suppose 0 = 2*j - h*j - 4*c + 72, 4*j = -3*c + 57. Solve -3*x + 7*x - j = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 3*b**2 - 4. Let w be f(3). What is the tens digit of (-84)\/w + -2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 798438 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2*d - 23, 0 = 3*d + 3*u - 12 - 18. Let q(z) = -2*z + 31. Let n be q(d). Suppose -h + 22 - n = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-22)*-1*-1\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 845267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 + -45307?\nAnswer: -45310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 385592925 + 3.268.\nAnswer: 385592928.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 108596 + -4?\nAnswer: 108592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 36\/109, -1\/3, -6?\nAnswer: 36\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -30, 1 in descending order.\nAnswer: 1, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -194, -356, -518, -680?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 2\/(-12)*(954\/(-54) - -17).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 2*o + 3*o)*(22 + 4*o**2 - 22)*(-6 + 6 - 13*o**2) + 0*o**5 + 0*o**5 + 2*o**5.\nAnswer: -154*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -44*u + 262. What is the lowest common multiple of 18 and i(5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 7, n: 3, t: 2, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/4)\/(4 - (10 + -3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*m - 66 + 99 - 32*m - 106.\nAnswer: -2*m - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 1\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 405590 + -405585.100014. Let v = -4.24 - 0.66. Let z = v + r. Round z to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/13  (b) -40109  (c) -58  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((168\/10)\/4)\/((-546)\/130 - -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14234073*j + 22133421 wrt j.\nAnswer: 14234073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 10 = 5*w - 2, 0 = -w + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h - 6. Let n be y(6). Suppose 3*s + 6 = n*s. Solve 16 = -s*v + 6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -5, 1479, -4 in increasing order.\nAnswer: -5, -4, 0, 2, 1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -2. Let c be -5 + 7 + (1 - d). Let b(w) = -w**3 + 2*w**2 + w. What is b(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 37382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 3*a = a - 100, -5*r + 100 = -3*a. Let y = 86 + r. List the prime factors of y.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 26*k - 6 - 14*k - k. Let l(j) = 10*j - 5. Give 5*b(v) - 6*l(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 12, q: 5, e: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/168)\/((-7)\/1*(-6)\/54)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lltlltllltl.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 10067 = 141*f - 139*f, -2015 = -s + 2*f. Calculate the lowest common multiple of 305 and s.\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9019\/543 at most 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 - (-3 + (-1668306)\/(-846)). Let t = 1973 + b. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*k**2 - 29*k**2 + 64*k**2 + 32*k**3.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 41.35, 2, 3, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-611\nAnswer: 122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wsllmlsllmlmw. What is prob of picking 1 m and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 8:36 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {o: 1, y: 1, u: 8, r: 1, s: 2, z: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 92\/24 + (-2 - 10\/5). What is the fourth smallest value in -1\/4, -0.5, m, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7511.65457 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((19 - 11) + -6)*1\/(-5). Let q be (-7 + 3 - -3) + -17. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -17*s + 46. Let l be a(3). Put -7, 3, -4, l in descending order.\nAnswer: 3, -4, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 3357867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 + 1 + (-1 + 2 - 4)*(5 + 1 - 4)*(-155 - 52 - 1))*(-2*n**2 - n**2 + n**2) as m*n**2 + k*n + z and give m.\nAnswer: -2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0, -2\/5, 5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) 0.15  (c) 0.1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/162 and 37\/76854.\nAnswer: 2075058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 not equal to 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 36.7 and 2030.\nAnswer: 2066.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-8))\/((-10)\/(-320)*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111 - 165 - (-70 - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -10, 5, -3 in decreasing order.\nAnswer: 8, 5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6234 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z + 10, 5*z - 12 = -l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -38, -65, -124, -227, -386, -613?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -5*g**3 + 10*g**2 + 45*g - 58. Determine x(-4).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -4*l**4 - 402356*l**3 - 5632456*l**2 - 25747584*l - 38620800 = 0.\nAnswer: -100575, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 95*g + 4. Let f be j(6). Suppose 1898 = 4*x + f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*u**3 + 5*u - 2*u + 4*u**3 to the form d*u**2 + p*u + c*u**3 + m and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 13 = -3*o, -r = -3*o - 51 + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 325 - 300 - (-16 - (-2 + 0 + 3))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8952540 a multiple of 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**2*d**2*t - 14*b**2*d**2 + 6*b**2*t + 4*b**2 + 23*b*d**2*t - b*d*t - 2*b*d + 29*d wrt b?\nAnswer: 4*d**2*t - 28*d**2 + 12*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 4*l + 390. Let s be (16\/6)\/((-26)\/l). Solve -v - 27 + 0 = 5*d, 2*d = -5*v - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbjbbbbbbbbbbbbjbbb. Give prob of picking 1 b and 1 j.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 107.8 + -108. Let c = 13.9 + -14.05. What is the fourth biggest value in c, 2, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-55)\/10*(-7 + 9). Let g(v) = -v - 7. Suppose 0*j - 2*j + 164 = 4*q, -48 = -q + 3*j. What is the lowest common multiple of g(n) and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 0.296?\nAnswer: -0.0888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10005345 (base 6) to base 10\nAnswer: -281153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - -4301619?\nAnswer: 4301619.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((3 + sqrt(325) + sqrt(325) + sqrt(325) + sqrt(325) + -2 + 4)**2 - (-1*sqrt(325) + -5 + 2)).\nAnswer: 205*sqrt(13) + 5232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6385 divided by 1018.\nAnswer: -6385\/1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 - 21026 + 21026.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -36318 and -5.\nAnswer: 181590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -824*d + 380*d = 20424 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1550.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -640701, 5, 0 in decreasing order.\nAnswer: 5, 0, -640701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 543663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 779\/6 + -129. What is the fourth biggest value in -2, -21, b, 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*i = -64. What is the highest common divisor of i and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4724 + -4724. Let r be 1 + 5 + (-1 - 0). Let s be 0\/r - 2\/(-3). What is the closest to g in -1\/7, s, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*l*n**3 + l*n**2 - 14812*l*n - 10*n**3 + 5*n**2 wrt n.\nAnswer: -132*l*n + 2*l - 60*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6555 - -6618. Let u = 73160.3153 + -73097.3153117. Let y = u - m. What is y rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 19*j**2 - 1 + 8*j - 8*j. Let n be l(1). Calculate the greatest common factor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/12 - 2667181*l\/4 - 2000386\/3.\nAnswer: (l - 8001544)*(l + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -113.348858 - -113.479. What is u rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12201 and 1860943?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1567 by 1.\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*t + 3*t + 3*t + (-t + 0*t - t)*(2 - 3 + 2) + 3 - 3*t - 3 + (3 + 2 - 4)*(16 + 2*t - 9 + 0*t).\nAnswer: -2*t + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88959 is divided by 88770.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 77*u - 1120. Give q(14).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -35 + 1 - (141 + (-13 - 128))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -17 + 9. What is the lowest common multiple of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 8*c = -7. Is 1 - (3\/c + -146 - -2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 16*z - 51. Let h be g(-5). Solve 0 = -h*y - 9 + 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 4.949.\nAnswer: -19.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(3 + (-106)\/36)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 559036 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10386 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 428 - 68. Suppose -b = -8*m + 4*m. Suppose -18 = -3*o + m. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 9 = -0. Let w = p + 6. Suppose w*z = -8 - 7. Is z bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 43950.97 and 8515.9.\nAnswer: 52466.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 201206049 to the power of 1\/2, to the nearest integer?\nAnswer: 14185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 601 divided by -5.\nAnswer: -601\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 34598600 to the nearest one hundred thousand.\nAnswer: 34600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 0.3, -1\/349, 0.5, 2\/7?\nAnswer: -1\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -80, -174, -280, -398, -528, -670?\n\"Answer: -6*h**2 - 76*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 210122?\nAnswer: 210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11\/758 or -1?\nAnswer: 11\/758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a**2*z + 595676*a**2 - 89185462*a*z + 214*a wrt z?\nAnswer: -2*a**2 - 89185462*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -29*t - 1179. Calculate f(-41).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 2*g + 16, 0*x = -g - x - 3. Let i be g + 1 - (-2)\/(-2). Suppose 0*c + 0*c**i + 2\/5*c**4 + 0 + 0*c**3 = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 17453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -137\/3 - -46. What is the third smallest value in w, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 8*w - 15. What is s(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -557 + 1139. Calculate the remainder when 94 is divided by 2\/(-8) + d\/24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4049 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5512, 11025, 16542, 22063, 27588, 33117, 38650?\nAnswer: 44187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqzqqqqqqqqqqqq.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 15a845?\nAnswer: 15a845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, 2, -0.5, 1.9, 181, 5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10355 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 - -49.5. Let u = -0.5 - w. Let k = u - -11. Which is bigger: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 1 = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -2194  (c) -3  (d) -0.01  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*c - 0. Let s(w) = -c - 16*w + 5 - 2. Let j(o) = 5*o. Let t(z) = 7*j(z) + 2*s(z). Let q(h) = -h**2. Determine q(t(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4.06 and 9.5405?\nAnswer: 13.6005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-30) + 0 + (0 - 0)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5815 + -5703. Sort 2, 3, v, -1.\nAnswer: -1, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000153020526 rounded to 7 decimal places?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 (base 9) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3505 (base 10) to base 3.\nAnswer: 11210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 839 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104 divided by -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2617.713 months to decades.\nAnswer: 21.814275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9855\/284 or 0.14?\nAnswer: 9855\/284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1279444491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/35 - (-56)\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56477 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + g - 1. Let z(x) be the second derivative of -x**4 + 2*x**3\/3 - 4*x**2 + 89*x. Determine -8*q(t) + z(t).\nAnswer: -4*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of x**5\/20 + 5*x**4\/6 - 11*x**3\/6 - x**2\/2 + x + 8. Give r(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-487)\/(2 + (-3)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*y**5 - 2 + (35*y - 18*y + 22*y)*(-5 + 5 - 2*y**4) - 4*y**4 - 4*y**5 + 4*y**4 + (y**4 - 2*y**4 + 4*y**4)*(2 - 2 - 2*y).\nAnswer: -86*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.1  (b) -173  (c) 0.2  (d) 0.4  (e) 9  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.83 - -0.17. Let p = o - 4. Let y = 1.8 + -5.8. What is the second biggest value in p, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -6*y - 1. Let l be v(-2). Let s = 12 - 10. Suppose -t - s*a = 4*t - 167, -3*a = 4*t - 135. Calculate the highest common factor of t and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148240099?\nAnswer: 7, 53, 463, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 147424 and 1360?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*h + 35 - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*o**2*u*y + 3526591*o**2*u - o**2*y - 187156*o*u*y - 2*o*u + 2*o*y + o + 2*u + 2*y - 1 wrt o.\nAnswer: -8*u*y + 7053182*u - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 77*c - 53*c**2 + 20*c**2 - 23*c**2. Suppose 10*t + 12 = z + 12*t, -2*z + 44 = 9*t. Let s(d) = 3*d**2 - 4*d. Give z*h(w) + 77*s(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/12 and -143\/1866.\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 122 = 4*h + 4*b, 0 = 5*b - 10. What is the remainder when 81 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - -36) + (-1)\/1. Let l = s - 28. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -195 in 1, 1\/14, 5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4683966 years to centuries.\nAnswer: 0.004683966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31*(-35)\/(-15)*18060\/10535.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/10 + (-88)\/(-40). Let h = -2 - -7. Solve -h*d = -n*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*u - 2*l - 10, -u = 5*l + 12. Is 502\/u*2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1646409.\nAnswer: 3, 23, 107, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001280309 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47 + 52. Suppose -z*t = 64 - 79. Let n be 1 - (0 + 0 - 1). Solve j = n*j + 5*b - 27, 5 = -5*j + t*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -452934, -452956, -452978?\nAnswer: -453000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from saozzaasaaas?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 10:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 532 + 531 = 3*b, -b = -6*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4156 + -4155.3997. Round s to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*u**4 + u + 4*u**2 + 7343*u**3 + 5 - 7343*u**3 + 0*u**4 + 6 to k*u**2 + n*u**4 + p*u**3 + x + a*u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 86d5 - 2?\nAnswer: 86d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 0, -1, 4\/7, -0.96?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23967738.\nAnswer: 2, 3, 147949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 631?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 68 + -18. Suppose a = 3*a - t. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (527 + 538 + 10546*m - 1591 + 526)*(-2 - 2 + 2)*(-9 + 3 - 4) to k + w*m and give w.\nAnswer: 210920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -136205*j**4 + 56994*j**2.\nAnswer: -3268920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/69*(-7560 - -7537)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 2*b = -35 + 29, -52*m + 48*m + 2*b + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2509 divide 1274602108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -201*j - 201*j + 797*j - 370*j.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 8*o + 10. Let h be t(-7). Let j(y) = -h*y - y + y + 3*y**2. Let w be -1 + 3 + -3 + 3. Give j(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 3*s - 30334, 5*s = b - 3042 - 3008. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = a + 1463, -285*q - 5*a = -286*q + 307. What is the smallest common multiple of 44 and q?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1273\/2419?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 34*x**2 + 11*x + 17. Let p be q(11). Let y = 42479\/10 - p. What is the common denominator of y and (-4)\/(3\/8 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.049 - 28.049. Let y = f + 28.01. Let k = y + -0.01065. What is k rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34998814.\nAnswer: 2, 31, 564497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**3\/6 - o**2 + 2*o. Give r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10154251 is divided by 1269279.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*i + 14*i - 46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 83*z**5 - 14*z**4 + 4193*z.\nAnswer: 1660*z**3 - 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -173.9618 at most 9\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**2 - 9*s - 2. Let k(a) = 10*a**2 + 26*a + 7. Determine 7*j(m) + 2*k(m).\nAnswer: -m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26.7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 + 1. Let x = -125\/6 + 629\/30. Let j be ((-2)\/2 - -2) + (12 - 12). Put j, -4, x, i in descending order.\nAnswer: j, i, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in -0.1, -27, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0.2, 153, 0.3, -815?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -3*r**4\/4 - 7*r**3 - 5*r**2\/2 + 5*r + 5115. Let g(m) = m**3 + m - 1. Determine -5*g(v) - t(v).\nAnswer: -2*v**3 + 21*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 43 - 19. Let u(m) = -44 - 16*m + m**2 + 60 + 3*m. Let h be u(i). Solve 4 = 2*r - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 276 a factor of 42969336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 + -18. Solve 3*y - i = 2*r + 2*y, 0 = 4*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5 - 3) + (-14)\/(-2). Let n = 11 - x. Suppose -5*w + 0 = -n*t - 2, -5*w - t = -14. Let r(p) = 2*p**2 - 1. What is r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 183, -6 in decreasing order.\nAnswer: 183, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 11. Let z = -2.14 - -1.94. What is the third biggest value in z, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3585 and -275.21.\nAnswer: -274.8515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lygkeyzl. Give prob of picking 1 y, 1 l, and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -5*q**3 + 11*q**2 - 23*q - 6. Let s(l) = -109*l + 5*l**2 - 3 + 321*l - 105*l - 118*l - 2*l**3. Calculate -7*s(t) + 3*u(t).\nAnswer: -t**3 - 2*t**2 + 8*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2129, 8777, 19939, 35609, 55781, 80449, 109607?\nAnswer: 143249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 - 10*l**2 + 15*l - 35. Calculate i(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 0.3, 4, -2\/155, -2, -9, 23?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h + 5. Let g(r) = 3*r + 19. Give -g(c) + 4*q(c).\nAnswer: -7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11*(-1022)\/770 + 6\/(-15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250)\/sqrt(245) + sqrt(50))**2 + ((-2*(sqrt(2) + sqrt(2)*-1 + sqrt(2)))**2 - (sqrt(2) + (sqrt(12)\/(sqrt(12)\/sqrt(2)))**2)).\nAnswer: -sqrt(2) + 3494\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9728 and 581888.\nAnswer: 22111744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, -0.2, -0.18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 513 + 6?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 36\/38)\/(-2). Let q = -101\/133 + x. Let n = -1 - -1. Which is the nearest to n?  (a) 4  (b) -3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 11 = 2*y. Let m be 8*(-2)\/(2 - y). What is the common denominator of -42 and ((-47)\/m)\/(18\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7653*y - 23 = 4*z - 7652*y, 2*z = 2*y + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqcqqqqqqqq. Give prob of sequence qqc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*f + f + 4*g, 13 = f + 5*g. Let i be (-3)\/f*(-83)\/9. Let y = 29\/2 + i. Is y at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -681538344 divided by 519?\nAnswer: -1313176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1436813 at least as big as 1436814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30417, -30434, -30463, -30504, -30557?\nAnswer: -30622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 29, 5, -29?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1864286671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 147*u + 73 wrt u?\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (24*q**2 + 8*q**2 - 11*q**2)*(0 + 2 - 4) + (-4*q + 4*q - 2*q)*(6*q - 6*q + 15*q) + (-7 + 7 - q)*(q - 15*q + 2*q) to m*q + t*q**2 + g and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 5*y - 15, -4*b + 7*y - 12 = 4*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -542 and -186.4.\nAnswer: 101028.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/9  (b) 1\/3  (c) 60\/472087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - -4. Suppose l*r = 15*r - 62. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(((u**(3\/10)\/u)\/u)\/u)\/u)\/u**(-29))\/(u**(-1\/9)\/(u**(-31)*u)) assuming u is positive.\nAnswer: u**(-323\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1343064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2336482491 to five dps.\nAnswer: 0.23365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -3\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {f: 1, i: 2, c: 1, m: 2, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -w + 83. Let v = w - 1575\/19. Let t be 2\/((-8)\/(-3)) + -1. Put t, v, 2\/13 in increasing order.\nAnswer: t, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/8780270 and 91\/8.\nAnswer: 35121080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4*q + 106. Let k(i) = 59*i. What is k(v(c))?\nAnswer: 236*c + 6254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffffffnfxfxffx. What is prob of picking 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (92\/115)\/(6\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1118, 1123, 1130, 1139, 1150?\n\"Answer: g**2 + 2*g + 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 + (-30)\/(-4))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.5  (b) -439  (c) 0.3  (d) 2  (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7686 and 20923.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of 1\/2*d**3 - 3*d + 3*d**2 + 0. What is the derivative of t(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -87*m**2 + 4525*m - 46. Let h be c(52). Solve -3*l - 6 = -3*d, -2*d = -h*d - l - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2562 - -2574. Suppose 5*k - 6 = 2*k. Solve 0 = k*b - 4 + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131122 (base 7) in base 12?\nAnswer: -1216a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 101654 or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 80750 + -80748.0999872. Let u = -40 + 41.9. Let l = m - u. What is l rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 2:49 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(2\/29))\/f*f*f**(14\/3))\/(f**(3\/14)\/f)**(-3\/4) assuming f is positive.\nAnswer: f**(25073\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1110 - -518?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1655 by 734.\nAnswer: -1655\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2701 - 0.0529. Let p = -0.3229753 - d. What is p rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23330.\nAnswer: 2, 5, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 706928.\nAnswer: 2, 17, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.007 + 0.193. Which is the third smallest value?  (a) 0.4  (b) -2  (c) r  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 9875, 9675, 9455, 9215?\n\"Answer: -10*z**2 - 170*z + 10055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 435 + -147. Let g = x - 147. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, f: 2, y: 6, c: 9, q: 1}. Give prob of picking 1 y and 3 c.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 99a94 (base 12) in base 8?\nAnswer: 615720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/72 and -57\/6472.\nAnswer: 58248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/(-8))\/((-12)\/32). Solve r + j = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35346058.0000037 - 35346060. Let v = 1 - 3. Let u = v - p. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3*s + 31 = 0, 5*s + 1 = 3*u - 36. Solve 1435 = u*y + 1447 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-29)*p\/((((p*p**26)\/p)\/p)\/p)*p)**(-5\/8))**(1\/72))**38 assuming p is positive.\nAnswer: p**(1615\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 100 = -295. Let p = -71 - q. Solve -7*a = -p*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -668, -1349, -2044, -2759, -3500, -4273, -5084, -5939?\n\"Answer: -f**3 - f**2 - 671*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3985625 milliseconds to microseconds.\nAnswer: 398.5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -3 + -1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - 1 - ((-19 - -11) + 8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-17)\/(-5) + 14\/(-35). Let k(r) = -r**2 - r**2 - 2 - r**w - 1 - 2*r + 3*r. What is the units digit of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 619*v**2 + 2*v - 1. Calculate the smallest common multiple of 77 and c(-1).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195463834.\nAnswer: 2, 97731917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*p**2 - 26*p - p**2 - 51495 + 51497 to f*p + v*p**2 + j and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*t = -7*t + 784. Let y = 70 + t. Calculate the highest common divisor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9000 and 293400?\nAnswer: 1467000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17253.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 13. Does 20 divide (20\/5)\/((-1)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2440727050 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -9604926  (c) 5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 210831080 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -119 - -6?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1991 and 1565831.\nAnswer: 17224141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1335016 or 159?\nAnswer: -1335016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from njjvjjpjjjjjnj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01768263 rounded to 5 dps?\nAnswer: -0.01768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171)*-4 + sqrt(171))\/sqrt(9) - -1*(sqrt(19) + -1 - sqrt(19))) + (sqrt(1900) - 1*sqrt(1900)) + sqrt(1900) + 0 + 0)**2.\nAnswer: -14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21824748 a multiple of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 7:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**2 - 25*t - 14. What is a(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bqqvblbvvvqqvvlvll?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112269 is divided by 186?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 4*y - 209, -159 = -2*y - y - 3*a. Let c = -30 + y. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 1)*(4150*j**2 + 3568*j**2 - 8876*j**2 + (-3 + 6 - 2)*(-3*j + j**2 + 3*j)).\nAnswer: -2314*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z**2 - 362 - z**2 + 362.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t + 17. Calculate v(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-33) - (0 - (-15288)\/(-11)). Round s to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 519*q**5\/4 - 3375*q**4 + 24549*q**3\/4 + 3303*q**2 - 6267*q + 72 = 0.\nAnswer: -1, 2\/173, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 53*y**2 + 1219*y - 2. Let o be m(-23). Sort -44, -7\/3, o in ascending order.\nAnswer: -44, -7\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 350.400027 and -76120?\nAnswer: 76470.400027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 7:46 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 23*r - 32. Determine q(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o - 6. Let t be k(-4). Let g be (-1 - t)*(-57)\/(-6)*2. What is the greatest common factor of g and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**2\/4 - 6615*r\/4 - 6617\/2 = 0 for r.\nAnswer: -2, 6617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 5*b = -8 - 32, 0 = 4*b - 12. Suppose 6*f - 267 = l*f. What are the prime factors of f?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 212 - 157. What is the third derivative of 0*g**6 + 90*g**2 - 50*g**2 + f*g**6 wrt g?\nAnswer: 6600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 2*q**2 + 66*q + 4*q**3 - 67*q - 5*q**2 to i*q**2 + x*q**3 + u + d*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 50*m**2 - 12*m - 2. Calculate the lowest common multiple of 196 and j(-1).\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*p - 5, 6*n - p - 9 = 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 2*l + 2. Let f(a) = 52*a**3 + 6*a**2 + 6*a + 6. Calculate -f(s) + 3*j(s).\nAnswer: -52*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49 + 15. Let n = -54 + x. Solve 25 = -4*p - j - 0*j, 3*j = p - n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8608807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4004+169276\nAnswer: 173280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 190  (b) 1\/11  (c) 1\/356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 35 = -4*r - 14, -d + 3*r = -7. Suppose -v + d = 4*y - 3, y + v - 7 = 0. Solve -y*x + 27 = -3*p, 3 + 22 = -5*p + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -355 by 6.\nAnswer: -355\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11\/8*n - 15\/8*n**2 - 1\/4.\nAnswer: -(3*n + 1)*(5*n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 6:22 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 6:55 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1956.524 + 19.724. Round d to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52531361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.06, 0.36, 23, 4, -0.4, 4\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*a - 305 = -255 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(1088) + sqrt(1088)*1 + sqrt(1088) + -2 - sqrt(1088) - sqrt(1088)*1*3) + -5)*-6)**2.\nAnswer: 4032*sqrt(17) + 40932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -198, -430, -864, -1536, -2482, -3738, -5340, -7324?\n\"Answer: -6*g**3 - 65*g**2 + 5*g - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 6*q - 64. Suppose 4*h - 3*h - 2*i - 29 = 0, 0 = 2*i - q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 26707, 26205, 25797, 25531, 25455, 25617?\n\"Answer: 8*j**3 - j**2 - 555*j + 27255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h - 50. Calculate m(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -3*4*sqrt(1539))*-2)**2.\nAnswer: -3456*sqrt(19) + 886528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30577846?\nAnswer: 2, 13, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*h**2 + 12*h**2 - 23*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17738, 71037, 159898, 284315, 444282, 639793?\nAnswer: 870842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 28*w**2 - 5*w + 28. List the prime factors of u(27).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 4*z. Let o be ((-1)\/5)\/((-8)\/40). Let v be g(o). Solve 0 = 2*x - v - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -311*h**2 - 296 - 58 - 36*h**2 + 116 - 228 with respect to h.\nAnswer: -694*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {u: 1, m: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fffl when four letters picked without replacement from {l: 12, f: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1491656756 + -387\nAnswer: -1491657143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 158*k + 872.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 322, 733, 1310, 2053?\nAnswer: 2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 20 = 4*q - 16, 0 = 2*h - 2*q + 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120642102 (base 7) to base 5.\nAnswer: -3411214240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3059354.\nAnswer: 2, 17, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2942*d + 110 = -2953*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 38, 0.23, -2\/5, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 488456017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -r**4\/4 + 2*r**3\/3 - r - 3. Let g be v(-1). Solve -x - 1 = -g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7466*m**3 + 21*m**2 + m + 6?\nAnswer: 44796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/3 - 26\/(-30). Let d = 625.64 + -625.64. What is the closest to 2 in -8, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15377856 and 133224.\nAnswer: 107644992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*j - 34*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o + 0*o - 6*o)*(-76*o + 33*o + 637 + 42*o) to the form r + t*o + z*o**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (8 - (15 + -10 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1960 - 1948. Solve 10*w + 2 = r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 6 = -4*f + 2, 4*r + 7 = -5*f. Let w = -267 - -91. Does 18 divide 2 - -1*(r - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 10*v - 8 = 4*c, -5*c - 19 = -2*v. Let b(d) = -d**3 - 4*d**2 - 5*d - 6. What is b(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 14*c**2 + 6*c + 14. Let n(r) = -32*r**2 - 12*r - 27. Give -7*b(h) - 3*n(h).\nAnswer: -2*h**2 - 6*h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -78\/11, -5, -0.5, -8.9, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (110 - 45*d - 110)*(2*d**4 + 3*d**4 - 2*d**4).\nAnswer: -135*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/37)*b**(-4\/3))\/(b*b**(-9)*(b**(-1\/12)*b)\/b))**31 assuming b is positive.\nAnswer: b**(30721\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**3 - 13*j**2 - 13*j. Let p(u) = -u**3 - 3*u**2 - 3*u. Calculate -26*p(w) + 6*s(w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z = -69*z - 184 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2450)\/(-2240)*8)\/((-1)\/(-4))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a**2 + 9*a**3 - 4*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -4*f. Let s(d) = 3*d + 50. Let g be s(-15). Suppose -g*m + 2*m = -6. Sort 6, m, f, 4 in increasing order.\nAnswer: f, m, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**32))\/(p**(-2\/43)\/p)*((p*(p**(-3\/22)\/p*p)\/p)\/p)\/(p*p\/((p*p*p**28*p)\/p*p)) assuming p is positive.\nAnswer: p**(-2923\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 4, h: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and -0.01378979897.\nAnswer: 0.48621020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -79.86 - -8323089113.1.\nAnswer: 8323089033.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**5 - 3*v**4 - v**3 + 3*v**2 + 2*v = 0. What is v?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + 294\/105 + (-994)\/30. Suppose 3*w - 6*d = -2*d - 119, -4*w - 157 = -5*d. Is w bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 74810720 and 14720.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000365635523 rounded to six decimal places?\nAnswer: 0.000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -5*o**2. Let x(j) = -1. Let y(c) = c - 2. Let d(p) = -4*x(p) + 2*y(p). What is d(b(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47713, 50925, 56279, 63775, 73413, 85193?\nAnswer: 99115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 531 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 least common multiple of 48 and 7569?\nAnswer: 121104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 150\/315*6\/12*(-28)\/(-12)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 47*x**2\/2 + 12*x + 6. Is w(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/140847700 and -68\/135817425?\nAnswer: 3802887900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15739*s**2 + 58*s - 15759*s**2 - 23*s - 35*s.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/210 + (-40)\/(-21). Solve 6*l - z*l + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/35 - (-3)\/15. Let v be 1\/(-2)*(-12)\/21. Let p be 406\/4340*10 + 2*(-1)\/2. Put v, p, t in ascending order.\nAnswer: p, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 + -25.922. Let n = -7731.078 + 7732. Let d = n + y. Which is the nearest to -4?  (a) d  (b) -4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9964 + -9967. Put v, 5, 1, -101, 4 in increasing order.\nAnswer: -101, v, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 5*f - 1. Let t be l(-2). Suppose 3*v - 2 = 4*q + 24, -t*q = -20. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 0. Let b be d\/4*(-8 - -10). Is b not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - t = -2*y - 8, -3*t - 21 = 3*y. Let d be (-3 + (-22)\/(-10))*y. Suppose d + 2 = 3*f. Solve o + f = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 8*o**2 + 11*o**2. Let x(d) = 3*d**2. Determine t(x(a)).\nAnswer: 45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 549 and 59?\nAnswer: 32391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 3*r - 4. Let n be t(-2). Suppose m + 350 = n*m. Calculate the remainder when m is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3211119236 - 3211119102.99999835. Let v = l - 133. What is v rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/8 - 45159*m\/2 - 679778427\/2.\nAnswer: -3*(m + 30106)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 10*d + 45. Let c be (-3)\/(d - (-32)\/7). Let y(j) = -j**2 + 10*j - 7. Determine y(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-12))\/((-4)\/(-30)). Suppose -66 = -x*o - 1. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14812616053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/(-2))\/(77\/(-308)))\/((-8)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xwcu when four letters picked without replacement from {x: 4, w: 4, n: 3, u: 1, c: 7}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6\/5  (b) 1\/6  (c) -2  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 8) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1802030 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 291 - -19. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhthtthhhtt?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 489 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226299 = -3266*m - 216*m + 24343 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14587\/8 + 1827. Let a = -358 - -771\/2. Find the common denominator of a and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 w when four letters picked without replacement from {i: 4, w: 2, n: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 15. Suppose g = -4*r - 3*l + 56, -3*r - 14 = -4*r - 5*l. Calculate the remainder when 67 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*w**5 - 10*w**3 + w**2 - 209*w?\nAnswer: 1200*w**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35 - -53. Suppose 2*w + f = 4*m, m - 7 = 6*w - 5*w. What is the smallest value in -0.4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160292 is divided by 175.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**3 - 8*r**3 + 3*r**3 + (20*r + 10*r**2 - 20*r)*((4 + 1 - 4)*(0*r + 4*r - 6*r) - 962*r + 398*r - 2 + 463*r).\nAnswer: -1033*r**3 - 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-12)\/8 + 162\/(-44)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8567*s**5 + 5958*s wrt s?\nAnswer: 171340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2211260.74 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 20 = 2*a - 2, a + 2*k = -4. Find the common denominator of -52\/9 and 83\/36 + (-2)\/a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 6*u**3 - 2*u - 48*u**3 + 22*u**3.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -32*y**2. Suppose 36*r + 23 = 95. Let o(s) = -s - s + r*s - 6*s. Give o(m(t)).\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11780660\/476 - 18\/14?\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/((-13)\/(390\/(-100))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -17*t**6 - 4*t**3 + 4*t. Let w(m) = -16*m**6 - 3*m**3 + m**2 + 3*m. Let l(k) = 3*i(k) - 4*w(k). Find the third derivative of l(r) wrt r.\nAnswer: 1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 181 - 281. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-10)*58\/(8526\/(-49)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287917752 to the power of 1\/2, to the nearest integer?\nAnswer: 35888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 4)*(16 + 13 - 23) + 4 - 3 - 2)*(-r - 2*r - 2*r).\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 - 27*f - 1054. What is the least common multiple of z(-22) and 405?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 3:28 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76005 is divided by 2000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11376699 - 23012133 = 390*x - 295845204. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001255328 to seven dps.\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 3. Let h(w) = w**2 - 4*w - 4. Let k be h(4). Let b be p(k). Suppose -91*d + 3 = -90*d. Solve -6 = b*l - d*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -6514.\nAnswer: 3\/6514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**3 - 2*n - n**5 + 4*n**3)*(-15 - 4 + 1).\nAnswer: 18*n**5 + 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 7*o = -55. Calculate the remainder when o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212 (base 3) to base 2.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49320 and 256464?\nAnswer: 1282320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/11)*r*r**5*(r*r\/(r**0\/r*r)*r)**(2\/13))**(-39))**(-2\/75) assuming r is positive.\nAnswer: r**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3465 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -0*v + 4. Let r(d) = -1019999*d - 1. Let n be r(v). What is n rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -88 + 91. Suppose -t*z + 8 = -5*f, 64*f = 61*f - 2*z - 20. Put f, 1, 6 in descending order.\nAnswer: 6, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -514 = 3*i - 520, 0*w - 3*w = -0*i + 2*i + 23 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 0*c + 3*c)*(-4*c**4 + 3*c**4 + 2*c**4) + (-c**5 - 5*c**5 + 4*c**5)*(-1 + 0 - 1) - c**5 + 2*c**5 + c**5 + 54*c**4 - 40*c**4 + 2*c**5 - c**5.\nAnswer: 8*c**5 + 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 - 42. What is the third derivative of 19*u**2 - 6*u**w + 10*u**2 + 3*u**5 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 9  (b) -0.28  (c) -12  (d) -3\/2  (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 15. Let t be p(-10). Let c be (-2)\/11 - t\/(-33). Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -664*-221.4\nAnswer: 147009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3 + sqrt(153))**2 + 1 + sqrt(17) + 1.\nAnswer: 19*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 516672283*b**3*f - 12*b**3 - 281*b**2 + 1153*b + 1 wrt f.\nAnswer: 516672283*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -28. Let v(p) = p**2 + 11*p + 21. Let s be v(-9). Solve -s*m + y = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 387 a factor of 1473144379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6396*y**3 - 12791*y**3 + 6394*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 6:00 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -18, -5, 3184, 4 in decreasing order.\nAnswer: 3184, 5, 4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -349 + 247. Sort -3\/5, p, -0.1 in decreasing order.\nAnswer: -0.1, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(88) - (sqrt(88) - (sqrt(88) + (2*sqrt(88)*2 - sqrt(88))))) + sqrt(88))\/sqrt(8) - (5*(4*sqrt(66) + sqrt(66)))\/sqrt(6)) + 5)**2.\nAnswer: -200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - 3*(-8)\/(-3). Let y be (-1 - 4) + (v - -5). Let s = 8 + y. Solve 5*h + 28 = -4*m + m, -10 = -5*m + s*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -102371 - -145458. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 26*b - 48. Let z(y) = -23*y + 49. Calculate -8*g(d) - 9*z(d).\nAnswer: -d - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 3284.\nAnswer: 26272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -128211000 to the nearest 1000000.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 965399600 to the nearest integer?\nAnswer: 31071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -29.21?  (a) 27  (b) 4\/3  (c) 7\/152  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 28 + 8. Let g be t + 1 - (-4)\/(-2). Suppose -14 = -g*m + 2*p, -3*p = 2*m - 2*p - 7. Solve 3*d - m + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - (11 - 17) - (-2 + 4 - 7).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -6*a**2 + 3*a - 3. Let l(b) = 24*b**2 - 13*b + 13. Let d = 3336 - 3330. Give d*l(s) + 26*v(s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -695536 != -695437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/9 - 12085690*f\/9 - 60428500\/9.\nAnswer: 2*(f - 6042850)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 165 - 196 + 7*y**3 - 6*y**3 + 6*y**4 as u + l*y + w*y**4 + h*y**3 + a*y**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -1403491.\nAnswer: 4\/1403491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -4*w**2 - 4541*w + 230880 = 0?\nAnswer: -1184, 195\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0*(0 + (-4)\/8)\/(-1). Solve u*v = -2*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10032231 (base 5) in base 16?\nAnswer: -139bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130253749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) 2\/17  (c) 0.2  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 + (-1)\/(-2)*-2. Let w(d) = 0*d + r*d - 1 - 3*d. Let n(i) = 2*i**3 + 2*i**2 - 3*i + 5. Let z(l) = n(l) + 3*w(l). Determine z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 3*f = -18, -3*y = -6644*f + 6645*f + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 5, 1865\/1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 116\/(-112) - (-9)\/12. Put 1, -3, l in decreasing order.\nAnswer: 1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60211414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 80442 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 667434 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o**3\/2 - 36*o**2 - 6653664*o + 5447367936 = 0 for o.\nAnswer: -2424, 1224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of 0*k**4 + 0*k + 0 + 1\/3*k**3 + 6*k**2 + 1\/10*k**5. Differentiate l(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35.8917 - 1.1064. Let q = b - -37. Round q to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5 + 20*y**4 - 47*y**3 - 62*y**2 + 92*y + 88.\nAnswer: (y - 2)**2*(y + 1)**2*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8230116 and 1596.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/2)\/(-4 - -3). Let u(x) = -2*x**2 + x. Let h be u(c). Solve 2*s - 3 - 1 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -255064862 take away -3?\nAnswer: -255064859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7806678203\/575090 + 398\/57509. Let w = 13587 + b. What is the common denominator of 44\/75 and w?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129*0.3.\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -226515 and -0.09.\nAnswer: -226515.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Which is bigger: 9 or c?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r - 196 = -6906. List the prime factors of r.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q**2 + 2*q + 9. Let n(c) = c**2 + 1. Let m(t) = -g(t) + 4*n(t). Give m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + c1?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 2340.936\nAnswer: 187.27488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 446280, 446325, 446370, 446415, 446460, 446505?\nAnswer: 446550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/15 - 154192*p\/15 + 616736\/15.\nAnswer: 2*(p - 77092)*(p - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {d: 1, b: 8, j: 8, a: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/3)*(n\/(n*n\/n**0*n))\/(n*n\/(n**(-3)\/n)*n))\/((n*n*((n\/n**(-1))\/n)\/n)\/n**(-5))**(2\/3) assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 102 - 142. Let h = -35 - k. Suppose -6*w = -h*w - 17. What is the remainder when 100 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 69, 152, 287, 474?\n\"Answer: 26*a**2 + 5*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1059620779\/360 + 2943393. Let u = j + -37\/72. Let i = 94\/15 - u. Find the common denominator of -59\/3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 4*q + 7. Let s be x(-4). Let t(j) = -15*j**2 - 9*j + 12. Let i(y) = 8*y**2 + 5*y - 6. Let r(h) = s*i(h) - 5*t(h). Differentiate r(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -13*n**2 - 22 - 34*n + 21*n + 48 - n**3 - 11*n. What are the prime factors of y(-17)?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 54603611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 g when three letters picked without replacement from {f: 2, z: 4, g: 4, r: 5}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3904487.496 rounded to the nearest one thousand?\nAnswer: 3904000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3198824?\nAnswer: 2, 399853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.2 in 0.5, 0.3, -1, -3\/805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-626)\/24 - 1561\/(-18732)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*i + 4 + 2, -6 = -m - 3*i + 1 - 3 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 343862 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*n - 19*n - 138 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 124425 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2401 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 571920250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8537155, -17074299, -25611439, -34148575, -42685707?\n\"Answer: 2*u**2 - 8537150*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 402667814 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**4 + 17*o**3 + 20*o**2 - 36*o = 0.\nAnswer: -2, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 340 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*u + 1092 = 79*u - 5*y, -2*y = 5*u - 5325. Are 1067 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 462436325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-28)*7*(-6)\/32\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m - 3. Let r = 96 + -98. Let f be (3 + 1)*-1*(-1)\/r. Let i(g) = 3*g + 2. Let c(q) = f*k(q) - 3*i(q). Let b(d) = -6*d - 2. What is b(l) - 4*c(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-4)\/(4\/(-5)) - (-304)\/(-95).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 327, 317, 331, 393, 527, 757, 1107?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.026  (b) 21.5  (c) -2\/11  (d) 1  (e) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**4 - 225*d**3 - 42516*d**2 - 84108*d.\nAnswer: 3*d*(d - 163)*(d + 2)*(d + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 28465930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 5*l - 85 = -19*w, 89 = -w + l. Let j = 54 - w. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 849229030 to the nearest integer?\nAnswer: 29142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -63.3, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -16, -0.4, 943, 0.08, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 3824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110010111101000 + -101?\nAnswer: 10110010111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -83*o**2 - 43*o - 1 wrt o.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 4*n - 2. Let s be t(1). Let r be 66*(6\/9)\/s. Is (r\/(-6))\/((-7)\/189) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4395\/(-6153)*((-7)\/(-2))\/(-1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 8*n**5 + 27765*n**4 - 205054*n**3 + 514593*n**2 - 525124*n + 187812 = 0.\nAnswer: -3478, 1, 2, 27\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -3. Which is greater: g or -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 8331*s**2 - 11*s + 12. Let f be n(-6). Suppose 0 = -k - 2*u + 99996, -3*k = -6*k - 3*u + f. Round k to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-5)\/(270\/36))\/(2\/(-12)). Solve -3*n + 0*n - 24 = -3*p, 26 = 2*p - a*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**2 + 0*c**2 + 236*c**3 - 259*c**3.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 5 + 4)*(-622 + 484 - 245)*(-2*g + 3*g**2 + 2*g).\nAnswer: 10341*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.97 - 2.57. Let u = -0.9 + m. Which is the biggest value?  (a) u  (b) 5  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 7*c - 7. Let i be w(-4). Suppose 4*p = i*r + 5 - 17, -4*p + 24 = 4*r. Find the second derivative of d**4 + 6*d**4 - 5*d + r*d**4 wrt d.\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f + f + 4*x - 16, 0*x - 2*x - 81 = 26*f - 339 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7)\/(294\/(-12)) - 575170\/(-70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - (3 - (-2 - -7)). Suppose -f + 4*j = 5, 0*j = 2*f + 4*j - 14. Let d(t) = 9*t**3 - f + 4*t + 3*t**2 + 1 - 10*t**3 + t. What is d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219647053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/(-95))\/(16\/(-180)) and 95\/22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*y + y, -2*n = 5*y - 77. Suppose n = 2*k + 31. Suppose 26*d - k*d = 189. What is the highest common divisor of d and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 12*p + 1773 = 0. Let g = 204 + p. Let x(s) = 2*s - 8. Give x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 688 + -390. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 1291930\nAnswer: -7\/1291930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 2:50 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = -y. Let p = -275.3 - -275. What is the closest to 1 in 0, p, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from aacaccc.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 64857969 a multiple of 2123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 82 - 79. Find the third derivative of -18*b**2 + 8*b**3 - 12*b**3 - 17*b**q - 3*b**3 wrt b.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, c: 4, k: 1, v: 4}. Give prob of sequence vcc.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112210 + -1001?\nAnswer: -120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/7885?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 10 - 15*r**3 + 22 + 13*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*r - r - 3*r)*(2*r + 0*r + 0*r) + 0*r**2 + 0*r**2 - r**2 + 5*r**2 + 0*r**2 - 2*r**2)*(7*r**2 - 6*r**2 + 5*r**2).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {a: 2, n: 3, s: 13}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -303*g**2 - 24*g + 48. Let p be f(-22). Let d be 5*(2\/(-11) + p\/22). What is d rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/56 and -107\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 269 times -3933560\nAnswer: -1058127640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -k - 37. Let o = -24 + k. Suppose -a - 24 = -5*b - o*a, 5*a + 12 = -2*b. Solve -4*r - 3*f = -0*r + b, r = -f - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(76) + sqrt(76)*2 + 1 + -5 - 4*((sqrt(76) - (-2*sqrt(76) + sqrt(76) - sqrt(76))) + -1 + sqrt(76))) + 0)**2.\nAnswer: -260*sqrt(19) + 12869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*j + 61*j + 66 = 4*t, -2*j = -5*t + 40 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 17, x: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -374*a - 13*a**4 + 2*a**2 - 1 + 370*a + 0*a**2 to y*a**3 + l*a**4 + h*a + t + k*a**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, z: 3, w: 1, l: 1, s: 1}. Give prob of picking 1 z, 1 l, and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.37210603 to 2 dps.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 4*o**2 - 87*o - 8. What is y(12)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/204)\/((-238)\/((-182784)\/640))?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8914 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 6:52 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -585.2 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010001100100 - -100?\nAnswer: 101010001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -a - 1. Suppose -1 = -a*f + 3. Solve f*d = 3*b + 3*d + 10, 4*b = -d - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*u**2 + 0)*(-u + 3*u + 10*u) + (5 - 3 + 2*u + 1)*(-2*u**2 + 1 - 1) + 0*u**3 + u**3 + u**3.\nAnswer: -38*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (398 - 375) + (-34 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - r**2 - 202*r - 857. Calculate d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1932 by 20362.\nAnswer: 966\/10181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8*l**3 - 4*l**2 - 58*l + 2. Determine u(4).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 6 + 0)*(g**2 + 0*g**2 + g**2 - 2*g).\nAnswer: -12*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-3))\/(12\/(-9)*(-84)\/16).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6056126816 + 2838*t**2 - 6056126816.\nAnswer: 2838*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + u + 9, -4*h + 3*u = -8 + 3. Solve 0 = -p + w - 3, -p - h*p = -4*w + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a - -3b2?\nAnswer: 3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 - 2946?\nAnswer: -2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 420 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from {k: 2, w: 2, f: 4, o: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -144*s - 15. Let u(k) = -9*k**2 + k + 1. Let v be u(1). What is the hundreds digit of b(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 54599*r + 2511555. Calculate b(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*p**(-12)*p)\/p)\/((p*p*p*p**8*p*p*p*p)\/p*p))**(-3))**(-7\/4) assuming p is positive.\nAnswer: p**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z**2 + 2*z - 3. Let x be r(-3). Is (-24)\/5*(-60)\/x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -2201011011?\nAnswer: -2201011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 1, 4, 22\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.24 and 0.103537?\nAnswer: 0.43899688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -11*i - 7. Let w be g(-3). Solve -2*u - 20 = 4*j, -u - 2*u - w = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 3*j - 20. Let n(s) be the first derivative of -s**2\/2 + s + 48201. Determine n(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 9:34 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = l - 84. Let r(a) = 13*a - 318. Let j be r(26). Let y be 4*l\/j - (2 - 0). Solve 2*b = -k + 1, 4*k = -b + y + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 3*l = -56, -4*l - 28 = -2*d - 0. Suppose d = 14*w - 18. Solve 2*y - 3*o = -10, 4*y + w = 4*o - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 9*q**2 - q + 32. Let h(o) = -10*o**2 + o - 31. What is 5*h(a) + 6*y(a)?\nAnswer: 4*a**2 - a + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13235 is divided by 1108.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.13514  (b) 117  (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - k**4 + 197*k**3 + 5 - 195*k**3 - k to f*k + x*k**2 + g*k**3 + z*k**4 + w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -3*z**2\/7 + 3321*z\/7 + 13332\/7 = 0.\nAnswer: -4, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3\/5, -84, -40?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*d*p**3*y**2 + 81*d*p**3*y - 13*d*p + 405*d*y**2 + 11*p**3*y wrt y?\nAnswer: 14*d*p**3 + 810*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 38*i + 141 + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -37647587, -75295172, -112942757, -150590342, -188237927?\n\"Answer: -37647585*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 11*c - 5. Let w = 13 + -2. Let g be n(w). Let b(h) = h**2 + h - 3. Let z(v) = -v**2 - 2*v + 5. Give g*b(j) - 3*z(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 16) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7015606127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sxu when three letters picked without replacement from {x: 2, s: 1, u: 3, i: 1, c: 7}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 847 or 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 30 = -5*g, -4*g = 5*i - 9*g - 70. Let j(w) = -w**2 + 10*w + 5. Let z be j(i). Let f(n) = 2*n - 2*n - 7 + 2*n. Give f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 76 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002423253 to seven decimal places.\nAnswer: -0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13431947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-66)\/(141372\/(-510))*(-12)\/10)\/(12\/7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 28 = -2*z, 4*z - 8 = o + o. Let b(m) = -4*m. Let y be b(-1). Let k be y - 1 - ((-21)\/(-3) - z). Solve -5*s + 0*s - 20 = k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175056602 to the power of 1\/2, to the nearest integer?\nAnswer: 13231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -29 + 203cc?\nAnswer: 203a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t = -5*t - 1885635. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27959 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 - 9*p**2 + 2*p + 11. Let v be q(-7). Let k = 98 + v. Suppose 5*i + 41 = 3*t + 17, -3*t = i - 6. Sort k, t, 1.\nAnswer: k, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -7*x**2 + 74844*x + 74844. Determine w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2703844 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3942 by -11.\nAnswer: -3942\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - b = -8, s - 6*b = -b - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - -25)*(-3)\/9. Let k = 5 - 19. Let n = h - k. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 290909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w - 5. Let m(z) = 1 + 3*z - 2*z - 5. Determine 3*c(f) - 4*m(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-20)\/8 - -2)*-62. Let y = q - -58. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 225 - 1578\/7. Which is the third smallest value?  (a) -4  (b) k  (c) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49020 and 8835?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -24022043 (base 6) to base 16\nAnswer: -b6feb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -133 - -2?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1400, 1845, 2288, 2729, 3168?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6937 - 6939. Which is the closest to -369?  (a) -0.5  (b) -3\/4  (c) 2\/23  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 0*c + 111*c**2 - 1\/4*c**4 + 0 - 1\/90*c**5 + 10\/9*c**3. Factor b(s).\nAnswer: -2*(s - 1)*(s + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 31 - 56 = 0. What is the remainder when 11\/2 + 3\/(-6) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 6*a - 5. Let z be f(-8). Let y(k) = 42*k - 108. What are the prime factors of y(z)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 11:09 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 5225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 32*p + 5. Let t(j) = 95*j + 16. Let o(k) = -2*t(k) + 7*z(k). Let l(m) = -1. Let i(r) = -3*l(r) - o(r). Let b(y) = 2*y**2. Determine b(i(g)).\nAnswer: 2312*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x**4 + 23084*x**3 + 52140*x**2 - 173468*x + 98260 = 0. What is x?\nAnswer: -17\/4, 1, 1445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 36*c + 3285. What is m(-91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 7233, 7241, 7255, 7275, 7301, 7333?\n\"Answer: 3*q**2 - q + 7231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 10:40 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - (3 + 8)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1025 and 74438575.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -x**6\/2 - 33*x**2\/2 + 22*x. Differentiate g(m) with respect to m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(3\/14)*i*i)\/((i\/i**(-37))\/i) assuming i is positive.\nAnswer: i**(-479\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -10*i + 16. Let q(u) = 124498*u**2 + 124497*u**2 - 248988*u**2. Calculate v(q(b)).\nAnswer: -70*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2774?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*f - 7*f + 9. Suppose -2*p = 4*w + 10, -2*p + 2*w = 2*p + 30. Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 divided by 1012903?\nAnswer: -65\/1012903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -68 + 285*g - 280*g + 263 - g**2. Let y be (-26)\/(-6) + 2\/(-6). Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -33 + 14 + 18 + f. Let n be p(5). Solve -2*t - n*c = t - 11, -5*t = -c - 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55034 = 920*x + 2677*x - 9712 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 + 2*n**3 - n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*m + 12*m + 4*z = 24, 0 = m - 3*z + 7. Let i = 19 - 18.9. Which is the closest to 1\/5?  (a) -1  (b) m  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.7 - -5.7. Which is greater: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0082374457 to six decimal places.\nAnswer: -0.008237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 713 is divided by 120.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 1361.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 24860.77 + -457\nAnswer: 24403.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 26998836811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11100 (base 2) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 143*k - 114*k + 87 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 337, 260, 127, -68, -331, -668, -1085, -1588?\n\"Answer: -q**3 - 22*q**2 - 4*q + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1200 + -3111?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 111184877 at least as big as 111184873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 251985191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/125  (b) -3\/5  (c) 78  (d) 1\/2  (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1355 (base 8) to base 6\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18900 and 10206.\nAnswer: 510300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 < 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1015 - 615. What is the remainder when d is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/3224 and 69\/200.\nAnswer: 80600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 527 - 516. Suppose -58 = -k - 5*i, 3 + 0 = i. What is the remainder when k is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80476, -81154, -81832, -82510?\nAnswer: -83188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4705\/63 less than or equal to 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l\/(l*l**12*l)*l)\/l**(-2\/5)*l\/((l*l**(2\/23)*l)\/l)*l**11 assuming l is positive.\nAnswer: l**(151\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -3, -1890 in decreasing order.\nAnswer: 0, -2, -3, -1890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 divided by -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 29977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 4 - 16. Let m(a) = -a**2 + 10*a - 15. Let c be m(8). Let l(t) = 9*t**2 - t + 1. Let k be l(c). What is the greatest common divisor of x and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14\/6*(13 - 4). Let b = 61\/3 - c. Let r = 0.1 + 0.1. What is the closest to r in -2\/15, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 21 = -4*w + 28, 5*q - 3*w - 291 = 0. Let b = 9 + 6. Calculate the remainder when q is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -4 - -1 - (-6 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.42 + -0.02. Let z be (9\/4)\/(-7 + (-22)\/(-4)). Which is the closest to -5?  (a) d  (b) z  (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 5*v - 53. Let n(k) = k**2 + 8*k - 9. Let b be n(-10). Let u be d(b). Let p be (u + 0)\/(2 + 15\/3). Put 0.23, 0.4, p in descending order.\nAnswer: 0.4, p, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 11*v**4 + 3*v**2 + 0*v**3 - v**3 + 14*v**4 in the form f*v**3 + t*v + j*v**2 + g*v**4 + y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -249488, -1996052, -6736726, -15968564, -31188620, -53893948?\n\"Answer: -249509*r**3 - r**2 + 2*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 89731\/10 - 9029. Let h = r - -177\/5. Calculate the common denominator of ((-2)\/8)\/((-1)\/154) and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*c - 2*a, -c = 5*a - 3*a. Let y(h) = -h**3 + 7*h**2 - h + 5. What is the tens digit of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4\/2 + 3465*n**3 - 8000682*n**2 + 6147169871*n + 37027218693\/2.\nAnswer: -(n - 2311)**3*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 93374940 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395 is divided by 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 - 13. Suppose 274 = 27*t + 31. Let k = v - t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -19\/12  (b) 4  (c) 0.3  (d) 0.2  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dnu when three letters picked without replacement from {u: 2, n: 1, v: 1, f: 2, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 748018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 8.869596 kilometers?\nAnswer: 8869.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bqqo when four letters picked without replacement from bqoooqoqob.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -34, -84, -156, -250, -366, -504?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5100)\/(-180)*3\/5. Solve -a = 7*o + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n + 3. Suppose -x + 5 = x - 3*k, -2*k = -5*x + 29. What is p(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k*k**(-1\/5))*k**(-4)*(k**(-1))**(16\/7) assuming k is positive.\nAnswer: k**(-213\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 4*g - 1. Let f(h) = -h**2 + 10*h - 12. Let i be f(9). Let u = i - -2. Calculate c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168 and 15883980?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 9 - 30 = -5*g, 0 = -2*m - 5*g + 33 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*n**5 + 11*n**4 - 3013*n**3 + n**2 + 16941890.\nAnswer: -1860*n**2 + 264*n - 18078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*l + 20 = 0, -4*k - 5836 = 4*l. Let j be 4\/(-2) - 8648\/6. Let y = k - j. Find the common denominator of -65\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r - 12*r + 4*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*s + s. Let b = s - -4. Suppose 4*u - 1392 = -b*r, -4*r - 6*u + u = -2790. Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24272180.10298 + 0.27.\nAnswer: 24272180.37298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 107092745 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 60895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 245332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-48)\/(-20)*(-20)\/(-6). Let a be s\/12 + 1\/3. Let f = a + 2. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*z = -43*z + 48 + 1842 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.08 - 0.14. Let x = z + 0.29. Let j = x - 0.03. Which is the nearest to 0.1?  (a) j  (b) 0.3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28 * 0.0568.\nAnswer: -1.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1517998.5 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 170420, 340084, 509748, 679412, 849076?\n\"Answer: 169664*n + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 704683862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-2*54\/54?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 4*l + 2)*(3*l - 3*l + 2*l) to o*l**2 + d*l + y and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -104\/11747 >= -0.068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*w - 65 = -29 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2561, -8568, -18573, -32570, -50553, -72516, -98453, -128358?\n\"Answer: x**3 - 2005*x**2 + x - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/(s\/(s*s**(1\/3))*s)))**(-4\/13)\/(s\/(s\/(s\/((s*s**(-10)*s)\/s*s*s)*s*s))*(s*s**(-11))\/s) assuming s is positive.\nAnswer: s**(31\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -41*y**9\/168 + 5*y**8\/336 + y**6\/40 + 571*y**5\/30 + 4771*y**2. What is the third derivative of a(f) wrt f?\nAnswer: -14760*f**3 + 300*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/9)*b)\/(b*b**1))\/(b**(1\/7)\/(b*b*b**5)) assuming b is positive.\nAnswer: b**(383\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -477, -1570, -3429, -6084, -9565, -13902, -19125?\n\"Answer: -5*b**3 - 353*b**2 + b - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 33006949 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + g**2 - 4*g - 2. Let f be h(-3). Let p = f - -8. Solve -5*w + p*w = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 2*q + 13 - 28 - 48.\nAnswer: -2*q - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0727945332 take away 0.03?\nAnswer: -0.1027945332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*a + 267. Let z = -64 + a. Solve c = -4*c + 3*v + z, c = 2*v + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 269436.8l to millilitres.\nAnswer: 269436800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16305 - 18703 - 30218 = 1804*p - 3890 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -7 - -1) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 5*b + 17. Let f be d(-4). Let p(k) be the second derivative of -k**5\/20 + k**4\/6 + 2*k**3\/3 + 3*k**2\/2 - k. What is the tens digit of p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7649158.\nAnswer: 2, 11, 37, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 41.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 101*a**2 - 6*a - 127. Let y(v) = -202*v**2 + 13*v + 254. Let o be (-34)\/102*(-2)\/((-6)\/117). Let h(f) = o*l(f) - 6*y(f). Differentiate h(r) wrt r.\nAnswer: -202*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**6\/30 - 62*b**5\/15 - 127*b**4\/6 - 128*b**3\/3 + 230*b**2 + 2. Let a(v) = 0. Calculate v.\nAnswer: -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001039 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 150 in 3.4, -5, 3, -2\/3?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 37 = -4*q - 5, 0 = -3*q - 4*l + 24. Let t = 10 - q. Suppose 0 = 5*k + 4*v - 1107, v + t*v + 675 = 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, -114365, -2 in descending order.\nAnswer: 3, -2, -3, -114365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j + 20850 = 752. Suppose -4*b = -86 - j. Suppose b = 5*t - 647. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, g: 13, e: 1}. Give prob of sequence gekg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1938, -1802, -1434, -720, 454, 2202, 4638?\nAnswer: 7876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*n + 2*n + 2*n)*(-3*n**2 - 4 + 4) - 3053*n**3 + 866*n**2 + 1959*n**2 + 3055*n**3 to the form a*n**3 + k + z*n + g*n**2 and give g.\nAnswer: 2825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 8996*y + 2329991. Determine t(-259).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-484)\/6 + 88\/(-66). Let u = 17 - l. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from {n: 2, s: 5, a: 6, w: 1, u: 1, q: 2}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + b - 2. Let c(h) = -h**3 + 3*h**2 - h - 2. Let g be c(2). Suppose -3*d + 0*t = -2*t + 7, -d - t + 6 = 0. Suppose g = z - 4 + d. Give r(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 13534*y. Let f(n) = 75*n**2. What is f(v(q))?\nAnswer: 13737686700*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = -10 + 82. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7882 = 10*l + 4*l. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8*j**3 - 11*j**2 + 6*j - 7. Let c(h) = -17*h**3 - 19*h**2 + 10*h - 13. Determine -3*c(f) + 5*n(f).\nAnswer: 11*f**3 + 2*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 354, 1438, 3226, 5706, 8866, 12694, 17178?\nAnswer: 22306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 0)*(-4*b + 0*b + 5*b)*(7*b + 33*b - 4 + 8*b).\nAnswer: -240*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 2*y + 6, -2*y + 2*u - 2 = 2*y. Let m(x) = 2*x**2 + 3*x - 2. Let r be m(2). Solve -l - r = y*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 divided by 14125?\nAnswer: -23\/14125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*i - 96*i + 200*i - 10 = 0. Solve -15 - 5 = 4*c, i*c + 26 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 4*n**2 - 6*n - 4. Suppose -18 - 12 = -6*p. Let o be u(p). What is the units digit of (-6)\/o*45 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17807.62 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - z + z)*(-3 + 2 + 0)*(-z + 3*z + 2*z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 54*f**3 + 3*f**2 - 18*f + 43. Is 11 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*l = -h - 5, -2*l = 2*h - 2. Solve -y - c + 12 = -h*y, 2*c - 15 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-435)\/6*8\/(-10). Let d = g - 36. Calculate the lowest common multiple of d and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 14*s + 75. Let k be t(-15). Suppose 8 = -v - 2*l, -3 = 3*v - 2*l + 13. Calculate the remainder when ((-8)\/5)\/(v\/k) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -v, 2*u - 2*v - 306 = -6*v. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -16*i**3 + 757*i**2 + 249 - 757*i**2. Let u(p) = -4*p**2. Calculate u(w(s)).\nAnswer: -9216*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27246335 and 9015.\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -3381 divided by -21.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, 50, 191, 404, 689, 1046?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwrwwwwwwwwwwwwww. Give prob of sequence www.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68090435.\nAnswer: 5, 7, 421, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -264, -1056, -2378, -4230?\n\"Answer: -265*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, u: 2, s: 2, q: 5, n: 1}. What is prob of sequence nk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 463328521?\nAnswer: 839, 552239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yiyo when four letters picked without replacement from rzzzriiifiyozy?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**2 + c. Let m be d(-1). Let q(b) = -b**2 + 3*b + 4. Let w be q(3). Let v(l) = -w*l - 3*l + m*l. Determine v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/(-4) + -1 + 25\/20. Let f(m) = 0*m + 0*m + 0*m**o - m**2. Let z(u) = -26*u**2. Determine f(z(r)).\nAnswer: -676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 + 27. Let w = q + 18.9. Is -0.3 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**3 - 6*g**2 + 10*g + 7. Let t = -27 + 11. Let w = t + 10. Is u(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 125  (b) 2  (c) -1\/2  (d) 3  (e) 31  (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -133 - -136. Put -4, q, 0.4 in decreasing order.\nAnswer: q, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - -2 - -3 - 24\/(-6). Solve 0 = -3*x + b, -o - 3*x + 8 = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 9*f - 10. Let l be o(10). Let i(h) = h - 9. Let t be i(l). Let w = t - -11. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 19*o + 21. List the prime factors of w(-19).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-42)\/(18\/20*1). Suppose 7*f = 9*f + m. Let k = f - -82. What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + -7. Let h be ((-4)\/(-12))\/(2\/12). Find the second derivative of h + y - 2*m**4 - 5 + 6*m wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {j: 4, z: 1, o: 9, w: 1, s: 4, t: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2 + sqrt(125) + -5 - (-4 + 2*sqrt(125))))**2.\nAnswer: 270*sqrt(5) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1260\/19 + -4983\/76. Which is the closest to 1?  (a) 4  (b) -0.23  (c) 1\/9  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 356754915.\nAnswer: 3, 5, 11, 79, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -12*f**2 - 8*f - 13. Let o(i) = 36*i**2 + 24*i + 40. Let c(k) = -2*o(k) - 7*p(k). Is c(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -15*g**4\/7 + 792*g**3\/7 - 6654*g**2\/7 - 54144*g\/7 - 6669 = 0.\nAnswer: -21\/5, -1, 19, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 58\/7 and (-516)\/142*(-8)\/36*(-1)\/(-10)?\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3416 is divided by 584?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-4*(((sqrt(110) - (sqrt(110)*-3 + sqrt(110)))*1)\/((sqrt(80)*-5)\/sqrt(8)))**2.\nAnswer: -1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {p: 6, m: 1, n: 2, b: 2, h: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -8.76. Is -0.1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**3\/4 - 9211*r**2\/4 - 531715*r\/4 - 7697673\/4 = 0. What is r?\nAnswer: -9153, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 321749 * -1.\nAnswer: -321749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + w + 3. Let z be t(5). Let r be ((-45)\/3)\/((-515)\/(-618)). Is z >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 469 - 671. Let w be 33\/671*c\/10 - -1. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.18267995 + -0.1827. What is z rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 34*c**2. Let j(x) = 825364*x**2. Calculate l(j(g)).\nAnswer: 23161674904864*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -24, -7, 14, 39, 68, 101?\n\"Answer: 2*h**2 + 11*h - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 253583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -3*f**2\/2 + 7*f - 39. Let l be 6*(-4*1 - -3). What is the units digit of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 4*a**2 - a + 1. Suppose -d = 3*d - 20. Suppose 3*k + 5*c + 29 = 0, -3*c = -k - d*c - 11. What is t(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/10134 and -61\/10027593.\nAnswer: 20055186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 2 = -0*o + o, 2*w - 5*o - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13)\/((-3)\/(-3)) - -4. Let m be (48\/c - -4)*3. Put 4, 0, m in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*b**4 - 1008*b**3 - 1180401*b**2 + 1181151*b - 295350 = 0. Calculate b.\nAnswer: -275, 1\/2, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1374*w - 10*w**2 - 450*w**3 - 3*w**4 + 222 + 1378*w**2 + 237 = 0 for w.\nAnswer: -153, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -173.\nAnswer: -12\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16720*c**2 + 6237*c**2 + 6246*c**2 - 2000*c**2 + 6234*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 600 = 75. Let f be (-6)\/33 + t\/33. Suppose -v = 2*v + 2*n - 48, f*v = -5*n + 39. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1\/58))**(-1\/12)\/(t**25)**(-2\/37) assuming t is positive.\nAnswer: t**(32617\/25752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 27  (b) -2\/47  (c) 41\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53 - -21. Let p = 34 + r. Suppose -2*v = v + 9. What is the second biggest value in v, -3\/4, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5382089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1856)\/(-48)*(-4 + 1). Is -114 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67605 by 5.\nAnswer: -13521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 678972.9938 + 0.37253\nAnswer: 678973.36633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1034 - 42. Suppose 0 = 11*m - 15*m + j. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -1\/210*u**7 - 1\/6*u**3 + 0 + 0*u + u**2 - 1\/336*u**8 + 1\/60*u**6 + 1\/30*u**5 - 1\/24*u**4. Factor n(h).\nAnswer: -(h - 1)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10578 - -10577. What is the nearest to p in -2\/19, -8.7, 2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/5)\/(209\/(-135) + 2564\/17307).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - 23. Let q = m + 7.6. Put -6\/11, q, -4 in ascending order.\nAnswer: -4, -6\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 3286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1301 + -10103130?\nAnswer: -10104431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2750, -10949, -24614, -43745, -68342, -98405, -133934?\nAnswer: -174929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 - 6*f - 2*f**3 + 5*f**2 + f**3 + 1 - 2*f**2. Suppose -3*v + 16 = v. What is z(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3*1\/(7 - -2))\/((-14)\/42). Does y = 12\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g, 4*u + 12 = 11*g - 6*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3103*y - 23169 = -3*f + 3099*y, 4*f + 9*y - 30859 = 0. What are the prime factors of f?\nAnswer: 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(2\/9))**(-2\/31)\/(b*b**5*b*b**(-2\/3)) assuming b is positive.\nAnswer: b**(-1789\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 2*a = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2270*n + 901187. Give b(-397).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3260*d + 7047. What is u(2)?\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 63 = 29*l - 24*l, 0 = -2*l - 2*t + 28. Calculate the remainder when 50 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00961677 to 4 decimal places.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2892 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2308374 is divided by 6123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of i**5\/50 + 3*i**4\/10 + 2*i**3\/5 - 16*i**2\/5 + 2*i - 21. Solve j(n) = 0 for n.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 576009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*i + 24*i - 838 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -8*p + 9*p, -16 = -9*p - 2*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 304246.18 days to weeks.\nAnswer: 43463.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -6751 at least -6752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*k - 520 = 45*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 + 37*d**2 - 49*d - 31. Let k be t(17). Solve -q = 2 + 3, -37 = -k*i + 5*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 15*w**2 - 7*w - 1. Is i(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 6*b**2 - 3*b - 3. Let s be t(-3). Suppose 2*q + 164 = z - 26*q, 0 = 5*z + 5*q - 95. What is the highest common factor of s and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-210)\/(0 - -2)*-3. Suppose -6*z - z = -i. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5*p + 104. Let c be z(-20). Find the second derivative of -63*m - 35*m**c - 3*m**5 + 38*m - 61*m - 158*m wrt m.\nAnswer: -60*m**3 - 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 1, s: 1, b: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (((168\/16)\/21)\/1)\/(17\/(-2))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 11359*l + 11553*l - 24944*l as n + y*l and give y.\nAnswer: -2032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 38 = 20*n + 146 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4021*x + 2 - 4013*x + 1. Let l be t(17). Let w = -137 + l. Solve 3 = -w*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2. Let v(w) = -4*w. Let l(g) be the second derivative of g**3\/2 - 10*g. Let o be (-4)\/1 - 1\/1. Let r(a) = o*l(a) - 4*v(a). Calculate x(r(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/(-36)*96\/(-1600). Which is the nearest to -1?  (a) -0.1  (b) -0.4  (c) j  (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (21\/(-12))\/((-3)\/5496)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 10762596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 12 = -5*v, -3*l - 6 - 4 = 4*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -65. Let c = -31 - g. Solve -7*j + 2*j = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -31*w - 11. Let n be x(-6). Calculate the greatest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 104530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oxx when three letters picked without replacement from xxxxxxxxxxuouuuo.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 0 - (-2 - (5 + -10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 25 = u. Let w = -2549639\/80 - -31870. Let x = w + 11\/16. Which is the smallest value?  (a) u  (b) x  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 g = -4\/261 - -8107\/1044. Calculate the common denominator of g and 3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, h: 6, x: 9}. What is prob of sequence xxx?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222 = -111*h - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - l**2 - 2*l. Let m be p(2). Suppose m*j = -5*j + 185. Suppose 3*h - 103 + j = 0. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8 = 0, -5*x = 3*a - 27 - 7. Is (-48)\/(-2 - (-4)\/a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -274856*i*p**3 - p**3 + 81637*p**2 wrt i.\nAnswer: -274856*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 - 119. Let t(z) = z**2 - 121. Determine 7*o(a) - 6*t(a).\nAnswer: a**2 - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -2*p**5\/7 - 139222*p**4\/7 - 2423054486*p**3\/7 - 7268328146*p**2\/7 - 1038292816*p - 346090976 = 0.\nAnswer: -34804, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1\/3)*b\/b**(1\/9)*b**11\/b**(-1) assuming b is positive.\nAnswer: b**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -9*v. Let q(w) = 3226*w**2 - 329*w. Give q(l(d)).\nAnswer: 261306*d**2 + 2961*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*m = 145686 - 144438 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 5. Let o = 24 + -15. Let x = o - 7. Suppose j - x*w - 2 = 0, -5 = j - 2*j - w. Give g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 (base 12) in base 13?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 8*q = 8. Suppose 4*h = q*g - 4*g + 178, 3*g = 2*h - 77. Suppose x - h = 40. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 447848358 and 9926.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 15 = -0*r. Let i(a) = 25201*a**2 - 5*a. Let z be i(r). Round z to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + (-15)\/(-4) + (-19)\/(-76). What are the prime factors of j - (6 - 0) - -37?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**10*i**(-3\/8)*i**(2\/11)*i**(-4\/5)\/i)**50 assuming i is positive.\nAnswer: i**(-21985\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m + 1. Let j(t) = -3*t**2 - 121*t + 4. Give j(s(k)).\nAnswer: -48*k**2 - 508*k - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139120?\nAnswer: 2, 5, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-14)*((-735)\/(-28))\/(-15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 4*z. Suppose w - 5 - 19 = z. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -156819.\nAnswer: 2\/156819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = l - 10. Let v be l\/(2\/5*5). Suppose -950 = -v*p + 420. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - -22 - (0 + 2)) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 44 + 0*(-1)\/4. Let p = -24 + f. Calculate the highest common divisor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.029554 to four decimal places.\nAnswer: -0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of j**4\/6 - 78*j. Let l(u) = -15*u + 1. Calculate l(b(z)).\nAnswer: -30*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -250066 - 4?\nAnswer: -250103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -902\/3 in 17, -4, -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 282650, 282754, 282918, 283136, 283402?\nAnswer: 283710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5*l - 14 = -2*j, 3*l = -9. Let p = 7 + j. What is the remainder when 22 is divided by (p\/6)\/(1\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -10227*o - 223. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 17065, 17136, 17257, 17428, 17649, 17920?\n\"Answer: 25*n**2 - 4*n + 17044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -2*m + 8. Let g be (-46)\/14 + (-4)\/(-14). Let b = g + 4. Is b < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, f: 1, x: 1, p: 3, o: 2}. Give prob of sequence xf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9199 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 51281539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225735013 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24174701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 2:56 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -9*t + 3. Let g(m) = -5*m + 2. Let c be ((-3)\/(-10)*2)\/((-35)\/175). Determine c*y(j) + 5*g(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18431.0200072 + -18431. Let q = h + -0.02. Round q to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*q - 2*k, -5*q + 2*k = 7*k - 25. Suppose 0 = -7*u + 4*u + 5*t + 14, q = -3*u + 3*t + 12. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3537 and 3537.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 3*j**2 + 1020384*j + 7142541 = 0.\nAnswer: -340121, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 1:46 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 3*q - 14, -4*j + 2*q = 31 - 3. Let d(h) = h**3 + 6*h**2 - 9*h - 10. Let c be d(j). Are 2 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -8167*o + 1559845. Calculate z(191).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -226, -237, -262, -307, -378?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 1051421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/9240 and 173\/3714480?\nAnswer: 3714480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - a + 26 = 0, 46673*a - 46671*a + 44 = -4*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 47\/3 in -0.1, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -1, -2, 0.3, -470 in descending order.\nAnswer: 0.4, 0.3, -1, -2, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**3 + 0*k**3 - k**3)*(2*k + 4*k - 4*k) + (k**3 - 2*k**3 - k**3)*(-k - 2*k + 6*k) + k - 4*k**4 - 152*k**3 + 684*k**3 - 349*k**3.\nAnswer: -12*k**4 + 183*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1934 - 386 = 145*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -2*q + 5*i, -443 = -3*q - i - 450 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (1*31\/(-62))\/(2\/(-20)) - 19\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 585\/27 + 2 + (-15)\/9 + 78.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -11100100001?\nAnswer: 11100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b49 (base 15) to base 16\nAnswer: 9f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36432)\/2484)\/(3*20\/225).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 8 = -32. Let r be 3\/z + (-1)\/4. Solve r*b = 2*n + 4*b + 20, 2*b = 2*n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2043 or 2042?\nAnswer: 2042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 91441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/366 and 25\/8394.\nAnswer: 512034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 4*c - 90. Let r be z(23). Suppose 8 = r*m - 0. What is the remainder when 10 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-40)\/24*(-12)\/10. Let o = -50 - -50.2. Which is the biggest value?  (a) -2\/13  (b) 1\/16  (c) o  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.6 - -12.41. Let v = y + 0.15. Let h be 24\/27*((-28)\/(-16) - 2). What is the nearest to h in 0.5, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 448 equal to 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 2*h + 15 = 0, -3*h + 15 = -0*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-630)\/81 + ((-42)\/(-27))\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 21*h**3 + h + 1. Let j be m(-1). Let q be j\/(-45)*(-6)\/21. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 25 = -n, 355 = -71*p + 189*n - 195*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + sqrt(153))**2*2.\nAnswer: -1014 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1712 + 1713 - 3425 + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + -5 + (sqrt(99) - -1*sqrt(99)))**2 + (1 + (sqrt(220) + sqrt(220)*-2 + sqrt(220))\/(-1*sqrt(405)))**2.\nAnswer: -420*sqrt(11) + 2226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -100 + 149. Let b = l + -4. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -3*q + 10. What are the prime factors of q\/((-10)\/(-4)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 3*b - 4*b)*(-5 - 1 + 4) - 10*b - 10*b + 11*b + (4 - 1 + 3)*(2*b + 3 - 3).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n + 5*n - 4*n**2)*(-3*n - n + 2*n) + 8*n**3 + 40*n - 40*n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(85) - -4*(sqrt(85) + -1*sqrt(85) - sqrt(85)))\/(sqrt(25)\/sqrt(5)*-5).\nAnswer: -3 + 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*h + 5. Suppose -3*j + 75 = h*t - 8*j, 2*j - 2 = 0. Solve 4*v = -0*v + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/8*-5*(-1120)\/(-600)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x + 8*x + x - 3*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 130*h**5 + 287*h**4 + 5*h**3 - 102*h**2 - 19*h - 153.\nAnswer: 7800*h**2 + 6888*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 223784?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.0221 - -0.0221. Which is the second smallest value?  (a) 157  (b) v  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 210 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 5) + (-8)\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {m: 2, l: 1, v: 2, c: 1, o: 2, e: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -1. Let x(v) = 5 + 25*v - 24*v - 2. Suppose 0*f = 4*f + 8. Determine f*g(q) - x(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 329 and 1645?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6992 = 5*c - 28*c. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -36*q**2 - 437*q + 1151. Give v(-15).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 13901  (b) -56  (c) 0.4  (d) -1\/3  (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -7114012 to the nearest 10000.\nAnswer: -7110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*a - 24*a + 180*a**3 + 897*a**3 - 19*a + a**2 + 63*a.\nAnswer: 1077*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2. Let y(a) be the third derivative of -a**6\/720 - a**4\/6 - 2*a**2. Let n(l) be the second derivative of y(l). Calculate u(n(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 + 5*a + 7. Suppose 2*b = -7 - 3. What is k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -6  (b) 1\/3  (c) -1\/9  (d) 6\/7  (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1512231, 3024462, 4536693, 6048924, 7561155, 9073386?\nAnswer: 10585617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -51767?\nAnswer: 51765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 277448359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9165 + 60693*a + 9165.\nAnswer: 60693*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (0 - 0 - (-2 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4070, -8141, -12212, -16283, -20354?\nAnswer: -24425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (50\/1170)\/((-49)\/42 + 2). Put -0.4, a, 0, 4 in descending order.\nAnswer: 4, a, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 16*z**2 - 21*z + 14. Let o be i(17). Let k = 111\/2 + o. Which is the closest to -15?  (a) -1  (b) -4\/5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1242 (base 5) to base 11.\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23 + 1210330?\nAnswer: 1210301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.9 + -3. Let h = -18 - -18.5. What is the closest to -2 in h, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 + 17*m**2 - 23. Calculate c(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3*j - 7 = 8, 5*j - 3 = -2*m. Solve 2*p + m = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2953*b**3 - 1896*b?\nAnswer: 17718*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1*-1)\/((-2)\/6). Let c(l) = -l**2 - 2*l - 3. Let b be c(h). Let o = b + 35. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.1, -303\/23, 1\/4?\nAnswer: -303\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -1 + 4*p**2 + 53*p - 46*p - 3*p**2. Determine o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.98 + 0.02. Let f = -5 + t. Is f at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 5*l**3 - 2*l**2 + 2*l - 1. Let i be n(1). Let t = 2 - i. Is -5\/6 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9680 and 15736776?\nAnswer: 157367760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -4, 35, 2 in descending order.\nAnswer: 35, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*l - a - 9, 3*l = 295*a - 291*a + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 80 = -1. Suppose -14*d + 11*d + v = 0. Suppose -q - d = 0, 0*q = -5*l - 4*q + 113. Do l and 25 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100100111111010 (base 2) to base 12\nAnswer: -ab62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 0)\/(2\/(-50)). Let n be (-1 - -3)*-1 + m. Solve -5*u + 12 + 16 = 3*g, -5*u = -2*g - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 520492?\nAnswer: 2, 7, 29, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*r - c, 2*c + 1 = -3*r + 15. Suppose -r*p = 2*p - x - 91, x + 67 = 3*p. What is the smallest common multiple of 15 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2879359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180749.\nAnswer: 180749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1404629*r**2 + 6969194*r wrt r?\nAnswer: 2809258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 640922 and 268?\nAnswer: 1281844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -23  (b) 0.06  (c) 0.4  (d) 1\/632  (e) -0.46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10361, -10397, -10463, -10559?\n\"Answer: -15*v**2 + 9*v - 10355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x - 5*x - 6*x - 2*x + 0 + 0 + (-2*x - 4*x + 5*x)*(5 + 1 - 4) + x + 3*x - 3*x - 7*x + 9*x + 4 - 8*x)*(-2*x - 2*x + 6*x)*(-4 + 6 - 3).\nAnswer: 50*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (-135 + -62 - -96)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b6 (base 12) in base 14?\nAnswer: 2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 5:23 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4*h - 225. What is the units digit of (-4)\/3*h\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 19 + 5. Let b = -18 - -12. Is b < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1562735591 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -14*w**2 - 39*w - 3. Let b(o) = -7*o**2 - 18*o - 2. Let d(i) = -9*b(i) + 4*y(i). Let a be (-4)\/26 + (-189)\/39. What is the units digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 222859086481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i = -11*i + 10. Calculate the smallest common multiple of 2 and 5\/i - 42\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaavaava. Give prob of picking 3 a.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 147.6003ms?\nAnswer: 147600300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -962, -966, -972, -980?\n\"Answer: -q**2 - q - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62271 is divided by 1245.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 10 = -5*q. Suppose 5*v + 37 = 3*p, 3*v - v + 10 = 0. Calculate the least common multiple of p and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((88\/55)\/4)\/(4\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8114524 less than -0.04472903?\nAnswer: 0.76672337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(3\/10)\/t*t*t*t**3\/t)\/(t**0)**(1\/6))**(-7\/2) assuming t is positive.\nAnswer: t**(-231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)\/sqrt(3) - sqrt(2)) + sqrt(8)\/sqrt(4) + 1.\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -145, 1866, 36 in descending order.\nAnswer: 1866, 36, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/2 - 2*t**2 + 64*t + 384.\nAnswer: -(t - 12)*(t + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 270 - 141 - (-2 - -67)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/2*57\/171.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.129779018 + -2053.\nAnswer: -2050.870220982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**3 + 0*h**3 + 3*h**3)*(-1 + 0 - 1) - 258*h**2 - 2*h**3 + 28*h + 258*h**2.\nAnswer: -6*h**3 + 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1120322 (base 4) to base 7.\nAnswer: -22406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.185774 weeks?\nAnswer: 1872.60192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*n**2 + 4*n**2 + 0*n**2)*(6647*n + 5964*n - 11744*n) + n**3 + 4*n**3 - 4*n**3 to the form w*n + x*n**2 + i + q*n**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.079 less than -10989243?\nAnswer: -10989242.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3945 - -3949. Solve 0 = 5*h + 3*v + 67 - 32, v = -t*h - 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (15\/30)\/((-2)\/(-20)) is divided by 2*(-2 + 7\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 79*h**3 + h**2 - 1. What is p(1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18133 - 18138. Sort -6, -2, 5, 3, x in descending order.\nAnswer: 5, 3, -2, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - (-19 + -1) - -3) + -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*h + 9 = 0. Let z = -3 - h. Let v = 3 - z. Solve v*t - 1 = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of 4*d**7\/105 - d**6\/75 - 2*d**5\/25 + d**4\/30 + 11*d. Find f, given that v(f) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3381224210 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42 + 36. Let u be 0 + 12\/(-2 - c). What are the prime factors of (4 - u)*27 + -1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119559898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 + -268810927?\nAnswer: -268810926.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11765*z**2 - 5*z - 328603 wrt z.\nAnswer: 23530*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) -17495  (c) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((4*(sqrt(432) + sqrt(432) + 1) - ((sqrt(432) - -1*sqrt(432)) + sqrt(432) + 1)) + 6*(-4*sqrt(432) + -2)))**2 + 4.\nAnswer: 147744*sqrt(3) + 5617192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27609847 and 4717.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 717 = u, 2907 = -5*u + q - 687. Let f = 1264 + u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 2\/39729433 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 109*f**2 + 6*f - 30. Let x = -574 + 567. Is m(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*o + 12*o = -12096. Suppose -2*r + 5*l + 180 = 0, 4*r - 5*l + 82 - o = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 8:34 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -97, -159, -177, -145, -57, 93?\n\"Answer: t**3 + 16*t**2 - 117*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = 4*a - 8*w, 3*a + 1743*w = 1742*w - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 3, 71, -5, -4.\nAnswer: -8, -5, -4, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4880 is divided by 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/450)\/(1272\/8586)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d - 7. Let a be x(-9). Suppose 3*t - 5 - 1 = 0. Let s(f) = 3*f**2 + t*f**2 + 3*f**a - 6*f**2. Let u(b) = b. Give u(s(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 5877*y**2 + 86 - 2*y**3 + 0*y**3.\nAnswer: -2*y**3 + 5877*y**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2020, -7948, -17814, -31618, -49360, -71040, -96658?\nAnswer: -126214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 160252\/(-32)*6*36\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-1))**(9\/8)*h**3\/h*(h\/(h*h*h\/((h*h\/h**(-4\/3))\/h)*h*h)*h*h)\/h)**(-14))**28 assuming h is positive.\nAnswer: h**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6902 is divided by 2478?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j**2 - 7*j - 4. Let v be (3 - -1) + -1 - 8. Let i be n(v). Suppose -4*r - 26 = 3*a - i, a + 109 = 4*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(52\/(-2262)*-29))\/(1\/(-2))*15?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3240154 - 25?\nAnswer: 3240126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 18 = 2*z - 24, -5*z + 2*w = -13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0555211807 take away 687?\nAnswer: -686.9444788193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - t = 5*x + 13 + 17, -8 - 2 = -2*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1670 + -557. Let h = 1567 - j. Let i = -2747\/6 + h. What is the common denominator of -15\/16 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 9?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 3, 2 in descending order.\nAnswer: 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(1 - 18\/16). Let t be ((-6)\/(-5))\/((-7)\/(140\/z)). Let o be -1 + -1 + 0 - -6. Sort o, 2, t in increasing order.\nAnswer: t, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3 = -4*g. Let j(i) be the first derivative of i**2 - 3*i + 32. Determine j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270)\/(sqrt(1089)*1 + sqrt(1089)))\/(sqrt(54) + sqrt(486)*-2))**2.\nAnswer: 1\/21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9809 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (480\/1800)\/(4\/3). What is the third biggest value in -0.4, 0, w, 0.12, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19459, 155310, 523941, 1241746, 2425119?\nAnswer: 4190454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 920441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -27, -101, -247, -489, -851, -1357?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 12:01 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/11 - 18*z**2\/11 - 54*z\/11 - 54\/11.\nAnswer: -2*(z + 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -21) + -15 + 32 - -60?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 4*v = v - 33, 5*g = 4*v - 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/12 - 3246\/(-8). Let h = 347 - j. Which is smaller: 1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65604, 262418, 590442, 1049676, 1640120, 2361774?\nAnswer: 3214638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + 1515 - 1550 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 18. Let j = 5 - p. Let a be j - 1 - 13806\/6. Round a to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 1\/6, -5, -3, -2487 in decreasing order.\nAnswer: 2\/5, 1\/6, -3, -5, -2487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 57 + (-4 - -1). Let z(r) = 2*r - l + 54 - r + 193*r**2. Is z(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1548, -1484, -1378, -1230, -1040, -808?\n\"Answer: 21*c**2 + c - 1570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -84 - -83.948. Is 2\/3 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46620 and 3955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43562, -43500, -43394, -43238, -43026, -42752?\nAnswer: -42410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -2 + p + 1\/2*p**2. Let x be l(-6). Put x, 3, 5 in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 2, x: 2, d: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence voo when three letters picked without replacement from {v: 2, o: 2, x: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 30549a (base 16) to base 15\nAnswer: 428741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -202133?\nAnswer: -202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 310 - 40. Which is smaller: c or 633\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2500)*1 - sqrt(2500)))\/(((sqrt(960) - sqrt(60))*-6 - sqrt(60) - sqrt(60))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 70301320 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 + 7*m - 3. Let t be j(5). Let w = -14 + t. Is w a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0)**45*((d*d**(-3)*d)\/d*d)**(-13\/2) assuming d is positive.\nAnswer: d**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26483460, 26483459, 26483458, 26483457?\nAnswer: 26483456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 minus -1409.8867?\nAnswer: 1397.8867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 11.2. Let t = 1.19999966 + f. What is t rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i + 509. Let g(h) = -973*h + 1. Determine d(g(w)).\nAnswer: 1946*w + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4*w - k - 250, 0 = 2*w + 3*k - 475. Suppose -5*c + w = 4*r + 9, 4*r + 52 = c. Calculate the highest common factor of 72 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**14\/((l*l\/(l\/(l\/(l\/l**21)*l))*l)\/l)*(l\/(l\/(l\/l**(-1\/21))))\/l**15)**(15\/2) assuming l is positive.\nAnswer: l**(-1205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -128, -5, 3 in descending order.\nAnswer: 3, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b7 - 1a4?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q - 7. Suppose d - 8 = -k, -5*k - 4*d - 13 + 49 = 0. Let n be ((-35)\/(-20))\/(1\/k). Let w be m(n). Solve 2*z = -1 + w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucuccuccuumcccu. What is prob of sequence uc?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -1088.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (15370\/424)\/((-5)\/(-328)). What is the highest common factor of 116 and q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -85  (b) 0.1  (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 k when four letters picked without replacement from kiiikmkkkkmim.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3.2 and 2749459840.13.\nAnswer: 2749459836.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2 + (-2 + 2 + 2)*(3 + 0 + 3))*(-34*m**2 + 34*m**2 - 4*m**3) in the form o*m**3 + n*m + l*m**2 + i and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25308 = 16*w - 52*w. Calculate the greatest common divisor of 190 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 528 and 33?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 2*r + 31, 4*a + 3*r = 2*a + 41. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-9)*f)\/f**(-9)*(f**(-6)\/f*f)\/(f**(8\/5)*f) assuming f is positive.\nAnswer: f**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 452 and -1451148 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of 35*z**6\/6 - 12*z**5 - 265*z**4\/4 - 70*z**3 - 20*z**2 - 159. Solve k(p) = 0.\nAnswer: -1, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -cb259a - -a?\nAnswer: -cb2590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 141597, 566376, 1274339, 2265486?\nAnswer: 3539817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31708229 to the nearest integer?\nAnswer: 5631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -82 greater than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19784*p**3 + 165*p**2 + p - 28088713.\nAnswer: 59352*p**2 + 330*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12013 (base 5) to base 15.\nAnswer: 3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2624*a + 2619*a = -s + 5, -4*s = 6*a + 32. Let n = 117\/17 - 4803\/646. Is a at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 0*x + x)*(-2*x + 4*x - 3*x) + 27936*x + 1596*x**2 - 13965*x - 13970*x.\nAnswer: 1597*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -24046528.8 rounded to the nearest 10000?\nAnswer: -24050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -393440*q*w**4 - 4*q*w**3 + 41*q*w**2 + 60792*q + 4*w**3 wrt w.\nAnswer: -9442560*q*w - 24*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lqq. What is prob of sequence qlq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 92 + -90. Which is the fourth smallest value?  (a) h  (b) -2\/19  (c) -5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.6760691mg?\nAnswer: 0.0006760691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5671 divided by -25798\nAnswer: -5671\/25798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 19. Let x = w - -16.9. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74, -77, -84, -95, -110, -129, -152?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**2 + 0*t**2 - 5*t**2 + (-5*t + 4*t + 0*t)*(2*t - 5*t + 4*t))*(t**3 + 3*t**3 + 2*t**2 - 3*t**3) + 13*t**5 + 7*t**5 - 6*t**5.\nAnswer: 11*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/3)*t*(t**(-15)*t)\/t)\/(t\/t**(-3\/10)*t*t*t\/(t**(-3)\/t)) assuming t is positive.\nAnswer: t**(-659\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000469 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y = -25*y. Let z(b) = -b**2 + 5*b + 10. Let l(r) = -r. Let w(h) = 5*l(h) + z(h). What is the tens digit of w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 11478*x**2 + 103304*x + 16. Determine h(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 5*g + 3*g)*(-1 - 4 + 0).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of 5*a**2 - 1\/210*a**7 + 0*a**6 + 0*a**5 + 0 + 0*a**4 + 0*a - 5\/6*a**3. Differentiate s(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3347286 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41256413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -g**2\/2 + 8*g - 118. Suppose -x + 9 = l, 0*l + l - 5*x - 39 = 0. Let d be f(l). What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*p - 38*p - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 6*w + 10. Let a(g) = 7*g + 11. Calculate 3*a(l) - 4*n(l).\nAnswer: -3*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 34*b**2 - 141*b - 19. Give p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) - -2*sqrt(209))\/sqrt(11) + (1 + sqrt(19))*-6.\nAnswer: -3*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, k: 2, r: 4}. What is prob of sequence kr?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - -119)\/(-1) + 1 + -2. Is 3\/((-2)\/u*1) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (16\/24)\/(-1 + 5235\/5229) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + sqrt(44)\/sqrt(100)).\nAnswer: -3 - 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from {r: 1, d: 1, n: 2, z: 2, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)*1 - sqrt(156))\/((sqrt(15) + sqrt(135))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 22*l**2 + 90*l + 1\/3*l**4 + 8*l**3 + 0. Factor p(h).\nAnswer: 4*(h + 1)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/63 and -71\/87041565.\nAnswer: 609290955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 7:58 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8485075 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 43*i + 58*i - 103*i - 3*i**2 + 64*i**3 + i**2 as s*i**2 + a*i**3 + v*i + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-34)\/s)\/(s**(-8\/3)\/s))\/(((s**6\/s)\/s)\/s*s\/s**(-4\/15)) assuming s is positive.\nAnswer: s**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 162?  (a) -3280  (b) 2  (c) -2  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**5\/5 + j**4\/2 + 95*j**3\/3 + 6658*j - 2198. Differentiate m(b) with respect to b.\nAnswer: -4*b**3 + 6*b**2 + 190*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8215.491 * -17\nAnswer: -139663.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 84 - 84.5. Put -4, -1\/6, y, 4 in increasing order.\nAnswer: -4, y, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -20411\/4942 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 11:53 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 8*v**2 - 6*v - 5. Suppose 3 + 2 = p. Let j be y(p). Suppose m + 3*m = j. Calculate the highest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 <= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1164.359 + -1162. What is m rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + -19)\/(20\/(-10)). Suppose 5*f = 3*f + c. What is the greatest common divisor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -153395.369 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 a factor of 1795846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*h, -2*g + 23 = -3*h + 4. Suppose 0*q + 2*q + 3*i = 236, g*q - 236 = 5*i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 380624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240582 is divided by 881?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 7338, 29341, 66014, 117357, 183370, 264053?\n\"Answer: 7335*g**2 - 2*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1878641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 256 + -255.9205. Let z = -0.25985 + i. Let y = 0.18 + z. What is y rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 5*w - 4*s, 0 = -6*w + 2*w - s - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/(-3))\/(7\/(-63)))\/(57\/(-2)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8258 divided by 5?\nAnswer: -8258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -357 + 694. Let g(x) = 4 - 331*x - 4 + t*x. Let q(i) = -6*i. Calculate g(q(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by 246743.\nAnswer: -53\/246743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/(-8)*-4*(-4)\/(-8). Let u be -9*(s + (-5)\/(-3) + 1). Suppose 0 = u*b - 2368 - 1739. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2*x + 6. Let l be y(-3). Suppose -d = -1 - l. Suppose 7*f + 636 = d*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15312481 is divided by 15312455?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 296 divided by -1.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-2 - (-97)\/2). Let g(m) = m**3 - 9*m**2 + 6*m + 16. Let w be g(8). Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of 79*n**4\/24 - n**3 + n**2 - 28*n - 50. Let p(u) = 16352*u - 1241. Determine 1241*i(k) - 6*p(k).\nAnswer: -73*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -723 + 722.94832. Let o = -0.02529 - y. Round o to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 at least 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.09 + 0.1. Let o(z) = z**2 - 7*z + 7. Let s be o(4). Sort s, k, 2\/7 in increasing order.\nAnswer: s, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12441*l - 312*l**6 - 307*l**6 - 8*l**2 + 12454*l wrt l.\nAnswer: -74280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39 - -51. Calculate the remainder when 47 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/2)\/12)\/((11552\/192)\/361)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 234630 divided by 4345?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -317 - -473. Suppose i - y = -3*i. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -657.2 + 649.178. Let t = z + 0.022. Sort 0.4, t, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 103583, 207172, 310775, 414392, 518023, 621668?\n\"Answer: 7*k**2 + 103568*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -223 - -239.3. Let w = 16 + -32. Let k = q + w. Sort -13, 0.5, k in increasing order.\nAnswer: -13, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddddmmddmdd. What is prob of sequence md?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 greater than 339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.642712l in millilitres?\nAnswer: 3642.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 7, -29, -1 in decreasing order.\nAnswer: 7, 1, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z + 39 - 3*z - 3*z - 6 + 7. Give o(25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2657*h + 1324*h + 1321*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**4\/4 + 3980225*p**3 - 8449155292875*p**2\/2 + 1494634448355018125*p + 29893111426855121875\/4.\nAnswer: -5*(p - 1061395)**3*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/2*-10*(-17)\/255?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qtqtzttq. Give prob of sequence zq.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 5*l**2 + 7*l + 4. Let u be a(-6). Is 0 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w*w\/(w*w*w*w**17)))\/w)\/w)\/(w**(-7\/4)*w)*(w**(-1\/7))**(-3\/25) assuming w is positive.\nAnswer: w**(12437\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -187*b**2 + 187*b**2 - 2 + 8*b**3 + (-8*b - 2*b**2 + 8*b)*(-3*b + 0*b - b) as u*b**2 + r*b**3 + v + c*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -945516 divided by -5434?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -27*o**2. Let f(v) = -10*v**2. Give f(l(z)).\nAnswer: -7290*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -42726.25676 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 462\/99*(-6)\/(-14). What is the third derivative of 31*u**3 - 21*u**w - 46*u**2 + 5*u**2 wrt u?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -520, -1029, -1534, -2035, -2532, -3025?\n\"Answer: 2*w**2 - 515*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express u**4 + 62 - 117 + 56 - u**2 - u as n + v*u**3 + b*u**2 + q*u**4 + i*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = r - 7. Suppose 23 + 7 = 3*a. Let x = a + r. What is the greatest common divisor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 326\/8 + ((-4)\/(-16))\/1. Suppose 0 = -5*i + 4*i + w. Suppose -5*j + 304 + i = 0. What is the greatest common factor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 4*v**3 + 2*v**2 + 2*v + 1. Let k be h(-1). Let l = -10967\/7 + 1567. Which is the smallest value?  (a) 0.5  (b) k  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 636934  (b) 1  (c) 2\/5  (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/800870 and 173\/42.\nAnswer: 2402610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 186 and 279815114?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 139 in 0, 5, 0.18, -1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, 0.4, 6.1, -3 in descending order.\nAnswer: 6.1, 0.4, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3188605*v + 60583502. Give m(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 9*c**3 + 29*c**2 - 11*c - 77. Let u be i(-7). Is -1665 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 4537131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7735 and 29750.\nAnswer: 386750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34.9 + -5.1. Let r = h - -40.2. What is the closest to r in -1, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2290 divided by -458?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d**2. Let y be k(1). Let o = 0 - y. Solve o*t + t - 4*w + 8 = 0, -2*t = w - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w + 13. Let v be (56\/(-8) - 2) + 18. Calculate j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 342043042 (base 5) to base 16\nAnswer: 172bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -420.3 + 395. Let s = -25 - r. Let y be (-2)\/5 - (-6)\/(-10). Which is the closest to y?  (a) 1  (b) 5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19946*u - 18332*u = 20982 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7925 is divided by 150?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-107)\/16 - (-57)\/19 and 49\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -0*s - 5*s. Let u be ((-60)\/8)\/(s\/(-6)). Let w(v) = 0 + 21*v**2 + 0 - u*v**2. Let m(h) = 4*h**2. Calculate m(w(j)).\nAnswer: 144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7\/((-84)\/8))\/(-1). Which is the closest to 0.1?  (a) -0.3  (b) z  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -3*x**2 + 11*x - 4. Give i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 + -0.05. Let t = g - -0.020014. What is t rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*3) + -6*sqrt(119)\/sqrt(7) + 3.\nAnswer: -17*sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -5, 4, 3, -1 in ascending order.\nAnswer: -15, -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -8. Suppose -38 + d = p. Let m = -23 - p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 458, 918, 1378, 1838, 2298?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63 + 65. Suppose 3*l - 4*c = 433, -s*c - 249 = -4*l + 325. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**2 - 2*l + 6. Let a(u) = 9*u**2 - 10*u + 30. Determine 2*a(j) - 11*o(j).\nAnswer: -4*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48760289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 - 2*f + 6. Let o(s) = -s - 1. Let m(a) = o(a) + w(a). Let u be m(-5). Let h = 12 + u. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 106 in 2, 4, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in 14, -16, 0, 0.5, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.59194844 - -16.79?\nAnswer: 36.38194844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*(-3)\/9*6\/2. Suppose 0*c + 15 = 5*c - 4*g, -2*c + 2*g = -6. Suppose -s - 809 = -5*x, 0 = 2*x - k*s + c*s - 322. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1552864\/46 - -1 - (-3668)\/42182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/3 + 370\/222.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-36))\/((45\/12)\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -s**3\/3 + 5*s**2\/2 - 2*s - 285. Determine o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 330 and 811371.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, v: 1, q: 3, d: 2, l: 2}. What is prob of sequence vll?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (11 - 14)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -753*g**2*h**3 - 2*g**2*h + g*h**3*q - 139*g*h**2 + 2*g*q wrt h.\nAnswer: -4518*g**2 + 6*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -111315.46 and 12.\nAnswer: -1335785.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 3*c - 20 + 5, -5*c - 11 = -b. Suppose -2*j - 3*r + 26 = 0, 8*j - r = b*j + 34. Solve 10*u + j - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**5 - 455 + 455 + (4*d**2 - 4 + 4)*(-2*d - d**3 + 2*d) + d**5 + 0*d**4 + 0*d**4 - d**2 + d**2 - d**5.\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10616, -10592, -10554, -10496, -10412, -10296, -10142, -9944?\nAnswer: -9696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.6899926 - -0.69. What is z rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2223200 (base 4) to base 15.\nAnswer: -33bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/p**(11\/4)*p**(-5\/8)\/p*p*((p**(-3)\/p)\/p)**(1\/8) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5193306*d**2 + 2409152 wrt d.\nAnswer: 10386612*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 5*i**2 + 7*i**2 + 0*i**2. Let j(v) = 6*v. Give j(s(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -0.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -p**2\/2 - 1. Let m(q) = -757*q + 22. Let h(x) = 8600*x - 250. Let b(r) = -11*h(r) - 125*m(r). Determine b(j(k)).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 12. Let t(v) = 5*v**2 - v - 4. Let w be t(d). Let x = 85 - w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**5\/60 + 4*k**4 - 2*k**2 + 211. Factor u(s).\nAnswer: s*(s + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0 = -8. Let j = k - -30. Suppose 3*y + 4*a - 243 = 0, -4*a + 47 = -y + 144. What is the remainder when y is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.66528*8.13\nAnswer: -13.5387264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q. Let w = -113 - -163. Suppose 2352 = -36*m + 85*m. Let d(h) = m*h + w*h - 94*h. Determine c(d(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 396648405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**2 - 9*n**2 - 13*n**2 - n**2 + 0*n**2 + 2*n**2 + (1 - n - 1)*(0*n - 5*n + 3*n) - 2*n**2 - 4 + 4.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2)*(-y + 3*y + 0*y) - 1 - y + 1 + (-184*y + 430*y - 173*y)*(-2 + 1 + 2).\nAnswer: 76*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of n**6\/15 - 12*n**5\/5 - 55*n**4\/6 + 26*n**3 + 6458*n - 2. Factor w(s).\nAnswer: 2*s*(s - 26)*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*2 + -4*(sqrt(19) + -2))**2.\nAnswer: -32*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+360568883.83594\nAnswer: 360568884.13594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 5 = 0, 10 = 5*l - 3*l + 2*v. Let p(c) = -3 - 10*c**2 - c**3 + 4 + 9*c - l*c**2 + 7*c**2. What is p(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.852 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 156693623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1570676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*v**3 + 145*v**3 + 21*v**3 + (-2*v**3 - v**3 + 2*v**3)*(6 - 8 + 7).\nAnswer: 154*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 71*g**4 + 91*g + 5525 - 5525 wrt g?\nAnswer: 852*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15742.\nAnswer: 2, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 24*q**2 - 21*q - 21. Let p(t) = 6*t**2 - 5*t - 5. Let f(n) = -21*p(n) + 5*u(n). Let g(w) = -3*w**2. Determine g(f(l)).\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v*v\/v**3))**(3\/22)*v**(13\/2)*v**(2\/49) assuming v is positive.\nAnswer: v**(3746\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-nine thirds of a day?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18375 + -18323. Solve m + 2*o - 51 + a = 0, 5*o = -10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/511948 and 23\/2620.\nAnswer: 2559740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 140*x**2 - 16*x - 39. What are the prime factors of l(-4)?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -p + 212 + 135, 5*j + 3*p - 351 = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence anx when three letters picked without replacement from kknxxannnkk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1476504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-126)\/(-70))\/(1\/45). Let d = -99 + c. Let s(h) = -h**3 - 20*h**2 - 36*h + 4. Let v be s(d). Solve v*g + 24 = 5*t, -2*t + 6 = -4*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 12) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 950 + -948. What is the lowest common multiple of c and 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 174?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of 17*c**2 + 0*c**3 - 5\/6*c**4 + 1\/20*c**5 + 0 + 0*c. What is the second derivative of u(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 0*l**3 - 4*l + 13\/15*l**4 + 0*l**2 + 79\/50*l**5 + 1\/25*l**6 - 25. Factor n(f).\nAnswer: 2*f**2*(f + 26)*(3*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6076?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 0*c + 3*c**2 - 2 - 6*c - c**2 - 10. Let p be m(6). Let z be ((-1)\/(15\/p))\/(4\/(-10)). Solve f - 8 = -0*f + 4*r, -5*f - z*r = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 247476, 494966, 742468, 989988, 1237532, 1485106, 1732716?\n\"Answer: o**3 + 247483*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -2. Let b = -3.2 + 3.6. What is the nearest to 1 in t, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -873*v**3 + 3*v**2 + 9*v + 5. Let t be k(5). What is t rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -121156024 divided by -1\nAnswer: 121156024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -6, 2, 3, -3615, 4 in decreasing order.\nAnswer: 4, 3, 2, -5, -6, -3615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddkoidf. What is prob of picking 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2 + 67*p + 505. What is r(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11653933957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1560518 millilitres in litres?\nAnswer: 0.0001560518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/33096 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21308 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 201156 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 4*h = -2796, 7*h + 151 - 7150 = -5*q. Is q a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 265\/(-60))*90\/300?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 74 and 42624?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 23*k**2 + 15*k - 9. Calculate o(-22).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*n**4*p*q - 94235*n**3*p*q + 10*n*p*q - 2*n*p - 758*n*q + 2*n - 2*p*q wrt n?\nAnswer: -60*n**2*p*q - 565410*n*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -19409, -39733, -60057, -80381?\n\"Answer: -20324*o + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 326*x. Let n(m) = -5*m. Determine q(n(c)).\nAnswer: -1630*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 80513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 1 - -4 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 32 = -12*g + 11*g, 0 = 3*g + 3*y - 48. Solve 14*b - g*b = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*n = -70*n. Let l(m) be the second derivative of -1\/20*m**5 + n - 1\/2*m**2 + 1\/4*m**4 + 0*m**3 + 5*m. Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiazzassiazsaszzzsz. What is prob of picking 4 a?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 891 - 939 = -v + 9*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.96142606 rounded to four dps?\nAnswer: 2.9614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*j**2*v**2 - j**2*v + 66*j**2 + 3310011*j*v**2 - 242261 wrt v.\nAnswer: 4*j**2*v - j**2 + 6620022*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523349940 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 162*d + 167*d - 367 = 0, -c + 4*d = -128. Solve -c = 5*x + 57*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 5 + 3)*(4 - 423*p**3 + 391*p**3 - 4).\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + -1112273?\nAnswer: -1112276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 18. Let l = 15 + g. Solve -b = -0*b + l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4908 + -4905.083. Let q = m + -2.9. Let k = 0.01700059 - q. What is k rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3, 3\/4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a804b (base 12) in base 10?\nAnswer: -470075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/6 - (-6)\/(-2 - -5). Let d = 0.9 - 1.4. What is the third smallest value in l, d, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-1 - -2)) + (144 + -87 - 48) + 44\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (248\/6)\/((-2)\/(-3)). Let i = b + -39. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (-62 + -7 + 18 - -10) - -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 2*d + 8. Let z be n(-6). Suppose 20*j - 64 = 16*j. Calculate the greatest common factor of j and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 3*n**2 - 27*n + 72. What is s(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2096940.\nAnswer: 2, 3, 5, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + u - 2. Suppose 2*s - u = 14. Suppose d - s - 14 = 0. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) -12  (c) 13  (d) -2\/7  (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*v - 4*u, u = 3*u + 8. Let p(r) = r**3 + 8*r**2 - 7*r + 7. Let k be p(-8). Calculate the highest common factor of k and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, 0.12, -2\/11, 1\/4, 30, 1 in descending order.\nAnswer: 30, 1, 1\/4, 0.12, -0.02, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -21 - -110061?\nAnswer: 110040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5222 + 5149. Is r at least -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*d**3*o - 1031204*d**3 - d**2*o + 2*d**2 - 359444*o + 2 wrt d?\nAnswer: 30*o - 6187224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16890, 16936, 16982, 17028, 17074, 17120?\nAnswer: 17166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -4*z + 2. Suppose b = 6*b - 10. Let l be c(b). Which is bigger: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41147 - 41035. Solve 45*l - f = 29*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4 = 0, -2*c - c = -2*h + 32. Let j = h - 6. Calculate the least common multiple of (-2)\/6 - (-39)\/9 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -12\/5*r**4 + 0*r + 3\/5*r**5 + 3*r**3 - 6\/5*r**2 + 0 = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0*o**2 + 2 + 2*o**2 - 3*o**2 wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2301649 - -18441913\/8. Let w = -3604 + u. Let q = 957\/56 + w. Find the common denominator of 31\/2 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 115.332 + -115. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of -13*z**5\/20 + 7*z**4\/24 - 55*z**3 - 169*z**2. What is the derivative of k(p) wrt p?\nAnswer: -78*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 2*a - 14. Let l be (-2)\/(-10) - 156\/(-20). Let x be t(l). Let m = x - -98. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -614, -602, -580, -548, -506, -454, -392?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 23, 156, 517, 1220, 2379, 4108?\n\"Answer: 19*a**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15413461 (base 7) to base 11.\nAnswer: 922a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16140.60688 + 14890.5885. Let y = j + 1250. What is y rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z + z - 2*z + (0*z + z - 3*z)*(25 + 25 - 51).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1594828, -3189655, -4784482?\n\"Answer: -1594827*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57419 + 14*w - 16*w - 323886 + 96910.\nAnswer: -2*w - 284395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 6 - h**4 - 4 + 5*h**2 - h**3 + 3*h in the form v*h**3 + t*h + r*h**4 + j + g*h**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 + 51. Suppose -i + h - 5 = 4*x, 2*i = 3*x + 18. Solve -i = -2*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2854*q + 30 = 3*y + 2851*q, -4*y + 55 = -5*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-501972)\/(-14889) + -41 + 1\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.362436 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 146690 smaller than 146691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 51*x**2 - x - 1. Let l be (-5)\/(22\/8 + -3). Suppose -20 = -5*a + a, -5*a + l = 5*r. What is the tens digit of i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*w - 33, 0 = 5*w - 6 + 1. Let v = -7 - -14. Suppose -u - 5 + v = 0. Solve -u*i + l = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36*b**2 - 43*b + 43*b + (-5 + 2 + 1)*(-3*b**2 - 4*b + 4*b) + (2 + 3 - 7)*(-3*b**2 - 2*b + 2*b) to the form l + p*b + h*b**2 and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 70473034*n**3 + 47536929*n wrt n?\nAnswer: 422838204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1152 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 345*c**3 - 78*c**3 - 93*c**3 - 89*c**3 - 78*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53 - -54. Calculate the common denominator of 4 + (u - 969\/132) and -53\/14.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 4)*(-4 + 3 + 0)*(-t**2 + 3*t**2 + 0*t**2).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/(-5))\/(-1) + -2. Let d be 4 - (7 + -5 + p). Suppose d*c = -r + 1057, -3*c - r + 637 = r. Does 43 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v*v*v\/((v**(-2\/7)*v)\/v)*v)))\/v**(-6))\/(v\/(v**(-26)*v*v))**(-3\/31) assuming v is positive.\nAnswer: v**(2757\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -3. Suppose 5*f = -l - 5. What is the units digit of 1*(1\/f + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/(-5) - 327966\/(-235)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 32\/64 - -2*7255\/4. Suppose -y = -24*p + 9884. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {d: 1, z: 1, t: 2, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 15*u + 40. Let b = -3 + 14. Let a be w(b). Suppose -13*v - a = -14*v. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 55736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 7 + 5*k - 5*k)*(-3*k + 5*k + 0*k).\nAnswer: 4*k**2 - 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 11. Let z = 12 + m. What is the units digit of (-22)\/(-5)*z\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = d - 5*l - 2, 4*d = -l + 4. Let n be 8 + d\/((-8)\/12). What is the second derivative of 7*s + 8*s**n + 14*s**2 - 14*s**2 + 2*s wrt s?\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1052 - 1050. Let s(t) = t**2 - t. Let v be s(5). Let j be (1\/2)\/((-15)\/v). What is the closest to j in c, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z + 10 = -5*z. Let i(r) = -3*r + 3. What is i(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + 3*m**2 - 51*m - 67. Determine p(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 144252 by 7.\nAnswer: 144252\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 712325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -47 + 49. Let z(a) be the second derivative of 0 + v*a + 0*a**2 - 1\/18*a**4 - 1\/30*a**5 + 0*a**3. Factor z(c).\nAnswer: -2*c**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000150562195 to six decimal places.\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 77214 = -0*i + 2*i. Suppose -2*c + i = -19521. Suppose 3436 = -5*g - c. What is g rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*w + 25*w + 172 = 10*t, 2*w + 40*t = 35*t + 74 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -56596, -113189, -169782, -226375, -282968?\n\"Answer: -56593*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d**2 + 2*d**2 - d**2)*(-833*d + 60 - 21 - 40) to the form w*d + b*d**3 + t*d**2 + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o + 0*o + o - 4. Let a = -16 + 12. Let t be d(a). Solve t = -q - 3*x - 10, -5*q + 3*x = -0*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 234.621 + -229.621. Let t = 3 + -2.6. What is the closest to -0.3 in t, 2, u, 41?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 4374 = 20*z. Let o = z + 949. List the prime factors of o.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-4)*5*(-4)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 44*a**2 - 48*a - 128. Let t be l(-45). Let c be (-321)\/(-27) - (t - 6 - -6). Let o = 9 + -3. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - ((5 - 5) + 5 - (-3 + 1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bgzbddggdggzzgggdbgd. What is prob of picking 2 g and 1 b?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-38)\/6 - (27 - 34). Let u = 0.04 + 2.96. Which is the closest to 0?  (a) -3\/2  (b) u  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-12)\/240*5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*j = 2*n - 11, 4*j = n + 5. Let a = 0 + n. Suppose 22 = 5*g - a. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -51?  (a) 1.46  (b) 0  (c) -204  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 45*j - 122 = 17*j, 704*k - 3*j = 702*k + 3 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203499 divided by -37?\nAnswer: -32527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*w**5*z - 307233*w**3*z - 6*w*z + 336438*w wrt w.\nAnswer: 80*w**3*z - 1843398*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 12 = 2*z, 0 = z + 6 - 3. Solve -3*r + 1 = -v, 3*r + l = -5*v + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - (-212 - (-1 + -97))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.206 from 0.356.\nAnswer: 0.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3078*u**4 - 84*u**3 + u**2 + 1629185*u.\nAnswer: 36936*u**2 - 504*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 6 + 18. Suppose 2*u + 3*u - 27 = 2*c, c + 16 = 3*u. Sort 3, -16, x, c in descending order.\nAnswer: 3, c, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 694*i**2 - 2*i - 1. Let t be v(-1). Let c = t - 435. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*u**2 - 7*u**3 - 17*u**2 + 33*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from crrccoocooc. Give prob of picking 2 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 - 6*t - 10. Let y be v(-9). Let x = y - 1438\/7. Let b = -0.2 + 0.2. Sort x, b, 1 in decreasing order.\nAnswer: 1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.037367 tonnes in nanograms?\nAnswer: 9037367000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1506311.859 - 1505095. Let f = p + -1216. Round f to two decimal places.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*r + 10 = b, 5*r - 10 = b. Let l = 43 - 37. Solve l*u = u - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 13875 = -3*b + r, -18502 = -4*b + 2*r. What are the prime factors of b?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 11*w - 7*w - 1259 = 0, -490 = -2*j - 5*w. List the prime factors of j.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/33))**(7\/6) assuming h is positive.\nAnswer: h**(-7\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -83792, -167694, -251684, -335756, -419904?\n\"Answer: h**3 - 50*h**2 - 83759*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23804163 to the power of 1\/2, to the nearest integer?\nAnswer: 4879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 1)*(4*t - 5*t + 2*t)*(233 - 50 + 1074 + 1067 + 393).\nAnswer: 5434*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -83  (c) 16  (d) -1.4  (e) -303\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 12:26 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 236*t**4 + 198 wrt t.\nAnswer: 944*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + y + 26 = v, -62 = -3*v - 5*y. Suppose 0 = 18*x - v*x + 36. Solve 4*t = 2*c + 4, 0 = 3*t - 15 + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-73949)\/5694 - -13)*1*(-78)\/(-12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 6. Calculate the least common multiple of (-7 - -13) + x + -1 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/316 and 37\/28.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*d**2 - 128 - 146 + 2*d**3 - 128 - 131 - 131 + 664.\nAnswer: 2*d**3 + 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 585.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 820907*s + 3*s**2 + 9*s**2 - 820904*s.\nAnswer: 12*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12416, -24756, -37096, -49436?\nAnswer: -61776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*o + 11 + 65*o - 11 as h*o + m and give h.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 + 7*x - 4. Let s be h(-8). Let o(l) be the second derivative of s*l**3 - l**3 + l - 2*l**3 - 16*l. Let n(i) = -3*i. Give o(n(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of g**5\/20 - 5*g**4\/12 + g**3\/2 - g**2 + 44*g. Calculate d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79100513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106935 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 320*z - 2635. What is the thousands digit of w(48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(140\/(-24)))\/((-12)\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(91) - -1*sqrt(91))*5 + sqrt(91) + sqrt(91))*-6)\/(sqrt(175) + (sqrt(175) - -2*sqrt(175) - sqrt(175) - sqrt(175))*-2).\nAnswer: 72*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*r + 23*r + 8*r + 17*r - 59*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 6*o - 10*o - 8*o. Let f(c) = -1645*c**2 - 1602*c**2 + 3251*c**2. Give u(f(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946797109 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -930 divided by 310\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 169422928*g**3 + 67*g**2 + 603824 wrt g?\nAnswer: 1016537568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/2 - 12\/4)*16. Is -96 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 0*y = 1. Which is the biggest value?  (a) -2  (b) -17  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -838*d. Let o(q) = 168*q. Give -16*o(m) - 3*u(m).\nAnswer: -174*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m - 2. Let x be o(-2). Suppose 5*s - 11 = -2*u - u, -2*s - 2 = -x*u. Calculate the common denominator of (-2 + s)*(-393)\/(-18) and 71\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38913459 - 149160.1\nAnswer: -39062619.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7627*c**5 + 3543*c wrt c?\nAnswer: -152540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence auyu when four letters picked without replacement from {y: 3, a: 8, u: 6}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2867465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-371)\/(-35) + 12\/40*-2. Suppose -d + 28 = 6*j. Suppose 3*n - 11 = 13. Solve j*x + v = 11, 4*x - n + 0 = 2*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*g = -27*g + 215. Suppose g*v = 46*v - 345018. Suppose 5*f - 2*s + v = s, -2*s = -4. What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 16) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6193, 6588, 27897, 57740, 96123?\nAnswer: 143052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -402*b = -396*b - 18. Suppose 7*t + 39 = 10*t + b*d, -3*t - 5*d + 33 = 0. Calculate the highest common factor of t and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-14 - -40) - 16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.59 + 1.41. Which is the nearest to -37?  (a) 0.4  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/13 + 17292*h\/13 + 37376658\/13.\nAnswer: 2*(h + 4323)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 2*r - 5*r + r - r + r - 2*r - 2 + 2 + (2*r - 6*r + 2*r)*(0 + 1 + 1) - 18*r - 15 + 15)*(1 + 3 - 5)*(-2*r**2 + 1 - 1).\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -144738?  (a) -2  (b) -1  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363 = -2*w + 553. Suppose -306 = -4*z + w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 17*m - 18. Let l(u) = 32*u - 36. What is 11*b(d) - 6*l(d)?\nAnswer: -5*d + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 497595640 to the power of 1\/2, to the nearest integer?\nAnswer: 22307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 655901\/2070 - 7240\/23. What is the common denominator of 38\/27 and z?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 83230 to the nearest one thousand.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t = -16*t + 29*t. Let m be ((-3)\/(-2))\/((-2)\/4). Sort -1, 14, m, t in increasing order.\nAnswer: m, -1, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 + 92 = 7*o. Let g(v) = -17*v - 511. What is g(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*r - 32*r - 6880 = 52*r + 119*r for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of g**5\/50 + g**4\/6 - g**3\/15 - g**2 - 27*g - 10. Let k(q) be the first derivative of f(q). Factor k(t).\nAnswer: 2*(t - 1)*(t + 1)*(t + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - 4*k**2 - 22*k + 42. What is the remainder when 99 is divided by h(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from fhhf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*h = 3*h - 4756. Suppose -1 = -m, 0*m = o + 5*m - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 113 and 0.013.\nAnswer: 1.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(2\/19)*s**(4\/7)*(((s\/((s*s\/((s*s**(-1))\/s*s)*s)\/s*s))\/s)\/s*s)**(-3\/38) assuming s is positive.\nAnswer: s**(243\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6290.8 take away -0.51596826?\nAnswer: -6290.28403174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5758800 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1206*h = 4*d + 1209*h, 3*d = h. What is the second biggest value in 57, 39, d?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26a9 (base 13) to base 15\nAnswer: -199c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-21) + 17\/((-714)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1103047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 192\/42 + 6\/14. Suppose 10 = i*n - o, n - 2*o - 2 = 3*o. Suppose -3*g + 230 = n*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/3 and 95\/132444?\nAnswer: 132444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 k when four letters picked without replacement from {c: 7, k: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jjipcpj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/13 + 153070*h\/13 - 459228\/13.\nAnswer: 2*(h - 3)*(h + 76538)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i - 2*j - 5 - 6, 5*i + 5*j - 10 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -431540947 + -2.8?\nAnswer: -431540949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*a + 198 = 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-448)\/20 - -16)\/((-90)\/25 + 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -5*t**3 + 17*t**2 + 34*t - 120. What is c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1574 + -918. Suppose -i = -2*w + 439, 2*i - 3*w = -5*w - 884. Let r = l + i. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 12*b - 12. Suppose -5*w + 4*a = -25, 5*a + 2 - 22 = -4*w. Let r be o(w). Suppose -7*s = 22 + r. Let g(t) = t**3 + 9*t**2 - 9*t + 8. Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6353785 meters to micrometers.\nAnswer: 635378.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4769 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2191, -2185, -2177, -2167?\nAnswer: -2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -10*v. Let k(t) = -76529*t + 1. Calculate k(n(z)).\nAnswer: 765290*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 1\/7*x**2 + 68644\/7 + 524\/7*x = 0.\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04123 to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 3*k + 3*k)*(-1 - 1 + 1) + (1 + 6 - 4)*(k - k + k) + 11 + 2*k - 11.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-4))\/(399\/(-152)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1.2, -1.3, 4, 1\/2, -0.3891?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -4*j**2. Let g(s) be the third derivative of 0 + 0*s**4 + 0*s**3 + 0*s + 1\/60*s**5 - s**2. Give k(g(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2\/2 + 432447*q\/2 - 216222.\nAnswer: -3*(q - 144148)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 24 = 8. Suppose 0*h - 976 = -w*h. Suppose -o + 1531 - h = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 8 = 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/(-18183)*7904\/832?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -21055, -14, -46, 5, 0 in ascending order.\nAnswer: -21055, -46, -14, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1378 or -3519?\nAnswer: -3519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 574, 3875, 12814, 30205, 58862, 101599, 161230?\n\"Answer: 469*p**3 + 5*p**2 + 3*p + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1\/(-2 + 666\/332))\/1 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -627669.\nAnswer: -627668.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 8 + 32. Solve 4*a + 4 = -p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 212969599 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d and 1 e when four letters picked without replacement from {e: 12, d: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 928.564 years to centuries.\nAnswer: 9.28564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 21 = -l - b, 10 = 2*b. Let f = l + -6. Suppose -2*z - z = -f*d - 103, -4*d - 20 = 0. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o - 1. Let u be 6\/2*(-10)\/3. Let f = -5 - u. Determine l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156, 66, 1020, 3072, 6588, 11934, 19476, 29580?\nAnswer: 42612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 5*x + 8. Let c(h) = 9*h**3 - 2*h**2 + 1. Let r(p) = -p**2 - 7*p + 1. Let u be r(-7). Let o be c(u). Is k(o) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(-1*(sqrt(6) - (sqrt(48)\/sqrt(8) - sqrt(6)))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 210\/((-126)\/6)*(-3)\/3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -2*z - 3*s - 2, -5*s + 10 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of c**7\/168 + c**6\/30 - c**4\/3 - 2*c**3\/3 - 3*c + 15. Let u(o) be the first derivative of y(o). Suppose u(b) = 0. What is b?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2948926 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 - 41796 + 41796.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1722 + 0.8912. Let z = 0.281 + n. Which is the nearest to z?  (a) -1\/7  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - t = -68 - 69, -5*l - t + 225 = 0. Suppose 4 = -4*i + l. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1913, 1911, 1909, 1907, 1905, 1903?\n\"Answer: -2*w + 1915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -3*i**4\/4 - i. Let u(f) = -3*f**2 + 3*f**2 + 5*f**2 - 3*f**2. What is l(u(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3515456, -3515452, -3515448, -3515444?\n\"Answer: 4*t - 3515460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 63 + 3bc8?\nAnswer: 3c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 2*n - 76170, 4*i + 47158 = 4*n - 105174. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1632003, 1632002, 1632001?\n\"Answer: -s + 1632004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**3 + 149*i - 298*i + 149*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*h + 44*h - 104*h + 167 + 36 = 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 0) + 423\/9 + 3. Solve 3*s + 59 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1083*p - 2*p**2 - 12 - 5 + 1084*p + 14*p**3 to a*p + k*p**2 + q + h*p**3 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1593260 by 318652.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3895 and 6080.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 212\/44 - (20\/11 - 2). Suppose -m*y = 4*d + 784, -4*d + 2*d - 392 = -5*y. Let c = 297 + d. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 5*d - 2, -5*l - 5*d = -76 + 11. Suppose -5*n + l = -16. What is the highest common factor of n and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcuu. What is prob of picking 1 u and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 1553344881*i**4\/2 + 837606891*i**3 + 62528004*i**2 + 1607445*i + 27783\/2 = 0?\nAnswer: -1, -21\/803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 58, 1\/26, 0, -17, 4?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 2, -2, -1 in ascending order.\nAnswer: -14, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1827069.6 to the nearest 10000.\nAnswer: 1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*q**3 - 920463*q**2 - 22178763 wrt q.\nAnswer: 21*q**2 - 1840926*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.98 + -0.32. Let f = 3.2 + q. Let a = -0.88 + -0.12. What is the nearest to a in 3\/7, -1.7, f?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3765\/(-3012)*9\/(-15)*((-104)\/(-6))\/(-2).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 - -14. Suppose 3*l - 6 = 2*j - 31, -m*j = l - 5. Suppose -2*u = -3*i - 6, -4*i = j*u - 3 - 12. Let b(q) = -q**2 - q - 3. Calculate b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7706363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -10447 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -11847 divided by 83?\nAnswer: -11847\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1)**(-8\/3)\/(t\/(t*t**1*t)*t)**(-2\/43) assuming t is positive.\nAnswer: t**(-350\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 1\/4*k**4 + 8\/5*k**5 - k - 1\/3*k**3 + 0*k**2 - 59. Find the third derivative of h(n) wrt n.\nAnswer: 192*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.06, 4, 12.8, 2\/17?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 82637 + -53a?\nAnswer: 820ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/481885 and 7\/192754?\nAnswer: 963770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*g**3 + 77291*g**2 - g + 16952?\nAnswer: -18*g + 154582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 6 = 0, -145 + 1216 = 5*a - 3*u. Suppose a + 24 = 2*p. What is the greatest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30126827 (base 9) to base 6.\nAnswer: -1233111341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256 = 64*o - 1653 + 181 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-235)\/(-75) + (-6)\/45. Suppose -i = -2*x - 1829, 2*x - l*i = -2*x - 3653. Let c = x - -1748. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -20*d**2 - 137*d + 171. Let a be f(-40). What is a rounded to the nearest one hundred?\nAnswer: -26300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3271, 13079, 29425, 52309, 81731, 117691, 160189?\nAnswer: 209225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 14. Let b = 0.54 - 0.34. Put b, x, 0 in descending order.\nAnswer: b, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**2 + 274*v**3 - 163*v**3 + 128*v**3 + 0*v**2 + 689*v**3.\nAnswer: 928*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 15*g**2 + 10*g - 12. Let f be z(-15). Let u = 311 + f. What are the prime factors of u?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, t: 1, l: 1}. What is prob of picking 2 q and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w - 5. Let v be m(-5). Let o be ((-2)\/10)\/(2\/v). Let b = -6 - -6.4. Sort o, b, -5\/3 in increasing order.\nAnswer: -5\/3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - 0 - -8 - ((77 - 40) + 36)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 11*l**2 - 11*l - 2. Suppose 4*o = r - 45, -5*o + 10 = -4*o + 4*r. Calculate the lowest common multiple of 4 and s(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-5 + -2*(sqrt(1331) + sqrt(1331) + 4 + sqrt(1331) + 4) + 3*(6*((sqrt(1331)*-5 - sqrt(1331)) + sqrt(1331)) + sqrt(1331)))**2.\nAnswer: 42966*sqrt(11) + 11512263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39971431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-1)*x**1*x*x**(2\/9)\/x*((x*x**(-2\/15))\/x)\/x)**(15\/8))**(1\/5) assuming x is positive.\nAnswer: x**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3128 is divided by 1324.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 16, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**6\/360 - g**5\/40 + g**4\/12 + 5*g**3\/6 - 6*g. Let h(n) be the second derivative of u(n). What is h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-12)*1*-12. Let m be 3\/p*-2*-4. What is the greatest common factor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 18. Suppose -d*h + 50 = 5*q - 0, 4*q + 4*h = 52. Suppose -2*c + 2 = -q. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25283.4ml in litres?\nAnswer: 25.2834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -147ec (base 16) to base 6.\nAnswer: -1444352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 18600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12221168047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*y**2 - 368*y + 122.\nAnswer: 2*(y - 61)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 4*a**2 - 11*a - 12. Let h be k(6). What is the remainder when (h\/24)\/(1\/(-652)) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, r: 2, y: 8, l: 4}. Give prob of sequence lgy.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 604 - 905. Let j = z + 310. Let d = -1 - -1. Put d, j, 1\/4, -3 in descending order.\nAnswer: j, 1\/4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -73 + (102 + -85 - -14)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78845 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(2057)*-1 + sqrt(2057) + -1 + sqrt(2057) + 2)*1*2*1)**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 45*z**2 + 12*z**2 - 412 - 56*z**2. Let c(y) = -2*y. Give c(t(a)).\nAnswer: -2*a**2 + 824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -156*h**3 + 16*h**2 + 2318*h - 4?\nAnswer: -936*h + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**4 + z + 0*z**4 - 9*z**2 - 12*z**2 + 46*z**2 - 11*z**2 in the form m*z**3 + q + r*z**2 + v*z**4 + a*z and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**4 - 16*o**2.\nAnswer: 4*o**2*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 512863.982 to the nearest one hundred.\nAnswer: 512900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 7:46 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**4 + 155*p**3 - 6950*p**2 + 25780*p - 25080.\nAnswer: 5*(p - 22)*(p - 2)**2*(p + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kq when two letters picked without replacement from kckkkqgglgggg?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/((-27)\/(-12)) - 1. Let s = 25.8 + -22.8. What is the second smallest value in 0.2, s, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -31.9 from -213950986.\nAnswer: -213950954.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + d**2 - d + 3. Let t be u(0). Suppose 5 + 8 = -t*i + 4*z, -4*i = -z. Suppose 4*q - 3*q = -5. Put q, i, -3 in descending order.\nAnswer: i, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = r - 3*l, -3*r = -4*l. Suppose 3*n + r = 9. Let g(v) = -2*v**2 - 8*v - 8. Let m(p) = p**2 + 3*p + 3. Give n*g(b) + 8*m(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4\/6 - 14745*i**3 - 434933216*i**2 - 12841390200397*i\/3 - 179396124751109\/2.\nAnswer: -(i + 21)*(i + 29483)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9.418 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 0) + (-57)\/51. Let g(d) = d**3 - 3*d**2 + d + 1. Let h be g(2). Let w be ((-12)\/(-16))\/(2\/h). What is the nearest to 1 in 0, w, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52486, 58769, 69240, 83899, 102746, 125781, 153004?\nAnswer: 184415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 161 divided by -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 355993?\nAnswer: 2135958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -162882, -162881, -162880?\n\"Answer: h - 162883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*k + 32*k - 1 = 0, c - 3*k - 8938 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 17845941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 40c1 (base 13) in base 14?\nAnswer: 338d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-105)\/14 + 9)\/((-3)\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*y + 5*y + 2*y**2 + (1 - 1 - 2)*(14*y**2 - 57*y + 57*y) in the form h*y + j*y**2 + b and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -a5 (base 11) to base 15\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 5*m**3 + 2*m**2 - 2*m + 3. Suppose -12 - 12 = 8*j. Let l(q) = 2*q**3 + q**2 - q + 2. Let k(c) = j*s(c) + 7*l(c). What is k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9406 - 4821. What are the prime factors of p?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of h**4\/24 + 7*h**3\/3 - h**2. Let g be z(-9). Suppose 3*a - 61 = -t, 5*a + 84 - 219 = g*t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31515\/1547 - -19\/221. Let p = o + 20. Which is the second smallest value?  (a) 0  (b) p  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -2\/13  (b) -5  (c) 1\/6  (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/2 - 3\/2. Let x = 62 - 14. Let b = 63 - x. What is the second smallest value in t, 0.2, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -162216 take away 0.13?\nAnswer: -162216.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*l - 105*l + 263*l - 87*l + 363*l.\nAnswer: 557*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8587359*k + 1400578 wrt k.\nAnswer: -8587359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**5\/15 - 5*r**4\/24 + 7*r**3\/6 + 98*r**2. Suppose 0 = -3*i - 3*i - 6. Let v(t) = -t**2 + t - 1. Give i*d(s) - 5*v(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2871630*v**2 + 2*v - 14408857 wrt v?\nAnswer: 5743260*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**5 + 0*f**5 + 2*f**5 + (3*f**3 - f**3 - 3*f**3)*(-2*f**2 - 2*f**2 + 3*f**2) + 22*f**5 - 14*f**5 + 11*f**5)*(24 + 41 - 132 - 54 - 70).\nAnswer: -4202*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8\/4 - (0 - 577).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24870 and 2155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.34 + -5395.\nAnswer: -5396.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1484)\/(-49) + 4\/(-14). Is (10\/w)\/((-1)\/(-6339)) + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 115 - 104. Let b = w - 11. Suppose b = 11*f - 3*f - 80. Calculate the remainder when 21 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 105 = 103. Put x, 2, 5 in increasing order.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3552 - 212335?\nAnswer: -215887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 119 and 350.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 4*c - 4. Let n = -13 - -6. Suppose -5*j + 83 = 3. Let r(o) = 8 - j + 7*o + 2*o**2 + 1. Determine n*g(q) + 4*r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 11:36 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 365421245?\nAnswer: 365421243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/2911856?\nAnswer: -1\/2911856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 70*w**2 + 4*w. What is b(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-10300)\/6180*(72\/(-100))\/(3\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 370761 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000191697 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 29.2, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = 7*n - 16*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 3*r - 10, -2*z = 2*r - r - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -90255*f**4 + 189*f + 30?\nAnswer: -1083060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39911739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gegeee. Give prob of picking 3 e and 1 g.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 18287 (base 15) in base 10?\nAnswer: 78202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*c + 2971 - 283 = -8*c for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hibb when four letters picked without replacement from piphhpybppyhhhhb?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-2 - 0)) + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160 + 0.0342703394.\nAnswer: 160.0342703394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.01 * 0.2.\nAnswer: -0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3b (base 16) to base 4\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1524 divide 357036259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/7 + 111956*d\/7 + 1566768242\/7.\nAnswer: 2*(d + 27989)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -1218171*c + 2. Let s(n) = n. Determine z(s(o)).\nAnswer: -1218171*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1525841, -1525791, -1525711, -1525601?\nAnswer: -1525461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 709200651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -464 + 478. What is the remainder when 28 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 12, o: 2, b: 1, a: 2, q: 3}. What is prob of sequence qo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11967 or -11965?\nAnswer: -11967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 475200*u**2 + 5847*u - 29.\nAnswer: 950400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(25\/120 - (-3)\/(-9)). What is the remainder when 168 is divided by 30 - -7*v\/56?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.4 - -0.4. Put 2\/3, -1, l in increasing order.\nAnswer: l, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 3*c - c = -32, 0 = 5*o - 4*c - 4. Let z be (o + (-10)\/6)\/(4\/12). Solve 20 = r + 3*x, -32 = -5*x - z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50, -104, -160, -218, -278, -340, -404?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + (-1 + sqrt(1008))*3 + 2)**2.\nAnswer: -96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, -2\/95, -1, 8?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -1947?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**5*u)\/u*(u*u\/(u*(u*(u*u*u*u\/(((u*u\/(u\/(u**2\/u))*u)\/u)\/u))\/u)\/u))\/u*(u**(-3)*u)\/u*u**(-2) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -3*m**4 - m**3\/9 + m**2\/3 + 2. What is f in d(f) = 0?\nAnswer: -1\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20210204 (base 5) to base 9.\nAnswer: -267750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1142, -6, 53, -8, 1 in descending order.\nAnswer: 1142, 53, 1, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2*(-5 + 7 + -4) - -11.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.51467 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 210.327373 rounded to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 7:08 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -1  (c) -51\/2  (d) -2970\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**3 - 175*f - 50*f**2 + 175*f + 50*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 5*h**3 - 4*h**2 - 10*h - 5. Let y(m) = -11*m**3 + 9*m**2 + 21*m + 10. Give 9*r(j) + 4*y(j).\nAnswer: j**3 - 6*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 1:49 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**6\/120 + 2*u**5\/15 - u**4\/2 - u**3\/2 - 133*u**2. Calculate o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -2*g**3 + 720*g**2 + 15894*g + 41148 = 0?\nAnswer: -18, -3, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 4  (b) 15  (c) 0.3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/109140 and -89\/440?\nAnswer: 2401080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 1\/630*t**7 + 0*t**5 + 0 + 0*t**6 + 0*t**4 - 2*t + 0*t**3 + t**2. Let s(c) be the first derivative of a(c). Factor s(m).\nAnswer: m**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1500378023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5, -0.5, 1, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rmrrrrrmrrmrrrmrrrm. What is prob of picking 4 m?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.107 and 311.63.\nAnswer: -33.34441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + r - 3*p - 126, 5*r + 3*p - 357 = 0. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(33*c + 317*c + 107*c).\nAnswer: -914*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**4\/2 + 155659*b**3 - 12114706480*b**2 - 24230035600*b = 0.\nAnswer: -2, 0, 155660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 7*b**3 - b**2 - 6. Let m(x) = 7*x**3 - x**2 - 7. Give -3*l(q) + 2*m(q).\nAnswer: -7*q**3 + q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * 11404.\nAnswer: -68424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*f**2 - 9231 - 9227 + 18459 + 220*f**3 to the form t*f**2 + c + a*f + b*f**3 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 - m**2 + 2*m**2)*(-1 + 4 - 1) - 407*m**2 - 4 - 4 + 408*m**2.\nAnswer: 5*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43.59 + -42.59. Which is the biggest value?  (a) -8  (b) 0.04  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 817301 - 485916. Let g = h + -331388.59938. Let o = g + 3.6. What is o rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from brukn. What is prob of sequence kbnr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72570 = 1140*h - 1155*h. What are the prime factors of h?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -6*s - 13. Let r(g) = -3*g + g + 3*g + 2. Calculate -6*a(p) - 39*r(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 17. Let t = 12 + r. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 132104799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -25*u**2 - 1. Let n be (-2 - (-7)\/2)*166\/(-249). What is g(n)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.594128 micrograms in nanograms?\nAnswer: 3594.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.143 + -3.143. What is the biggest value in 0, -2, 5, p, -59\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 251 + -251. What is the nearest to 2\/25 in 2\/11, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-4148)\/(-408))\/61)\/(-3*(-146)\/(-72)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413484 is divided by 266.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from susoohssssrsouusuoou. What is prob of sequence urso?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 30*x + 1951. Calculate o(-57).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62\/95 and -28\/209.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {d: 10, f: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*m - 732 = 0, 4*k + m - 724 = 4*m. What are the prime factors of k?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1982 + 14*g - 992 - 990.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**2 + 3*w - 2. Let l be o(3). Let h(y) = 5*y - 4. Let b(a) = 30*a + 119. Let k(t) = 24. Let f(g) = -b(g) + 6*k(g). What is l*h(n) + 4*f(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 1 - 5. Let n(c) = -l*c + 3*c + 0*c. Let g(d) = 2*d**2. Give g(n(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 33*a = -28*a + 26, -5*a = 2*i + 16. Let f(v) be the first derivative of 28 - 3\/2*v**i + 0*v. Let k(m) = -3*m. What is f(k(j))?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from naakgkngjnkknya. Give prob of sequence njg.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4b8b48 (base 15) to base 16\nAnswer: -374bee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2 - 2 + l. Let n(f) be the first derivative of 0*f**2 - 4\/3*f**3 - 32 + 0*f. Give b(n(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2947 + 3143 = 14*k. Put k, 2, 9, -5 in descending order.\nAnswer: k, 9, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 9*l = 60. Suppose -29 = l*s - 77. Is 2\/(-9) + (414376\/9)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-16)*(y**5*y)\/y*((y*(y\/y**20)\/y)\/y)\/(y**(-14)*y) assuming y is positive.\nAnswer: y**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -4286 <= -4285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-396)\/(-648) + 2\/(-4))\/(1\/30).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 PM and 12:21 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305177 is divided by 116?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13489856.\nAnswer: 2, 131, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 313318 (base 9) in base 4?\nAnswer: 231130223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 523192446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*l - 8. Suppose 2*p + 3*o = -21, -p + 10 = -l*o + 27. What is the common denominator of -61\/6 and 6\/(-8) + (-104)\/p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000034741 to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/9  (b) 10  (c) -0.5  (d) 5  (e) 150\/5023\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -4.32\nAnswer: -17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 222809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*l + 5*t, -6*l - t = -2*l - 29. Let y be (-3)\/l + (-130)\/(-4). Let q be ((-8)\/10)\/((-2)\/125) - 2. What is the greatest common factor of y and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 18 = 3823*d - 3825*d, 34 = -l + 4*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 4, -4, 1\/6, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**2 - 3*l + 8. Let w be j(3). Suppose 2*p - p + 23 = -n, 5*n = 4*p + 92. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/8 - 0 - -4. Let f(z) be the third derivative of 0*z + z**i + 0 + 0*z**3 + 1\/8*z**4. Let q(c) = -c**2. What is f(q(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of q**6\/5 - 2*q**5\/5 + q**4\/6 - 10*q. Factor x(y).\nAnswer: 2*y**2*(y - 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8694 and 1594782?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1470 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 199 + -199.174. What is h rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 6*n - 24. Let y = n - 12. Solve 4*p = -q - 17, y*p - 4*p - 5*q - 37 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 972 - 1004 - (11 + -1 + (-3 - -4))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -12*h + 76. Let f be d(-5). Let t = 137 - f. What is the second biggest value in -0.4, t, 0.03, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 15359*z + 15361*z + 12 = 0, 5*z + 9 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 - -25. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - 6*c + 12. What is the lowest common multiple of 22 and g(-7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 - 1)*(126 + 97 - 58)*(4*z**4 - 3*z**4 + 2*z**4) in the form t*z + d*z**3 + g*z**2 + k + o*z**4 and give o.\nAnswer: -2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 83309\/4 - 20933. Suppose -s = 3*o - 309, s = 5*o + 3*s - 516. Let g = r + o. What is the common denominator of 21\/4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1083050583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 11*g**2 - 2*g + 2. Let z(h) = 55*h**2 - 11*h + 11. Let v(w) = 11*x(w) - 2*z(w). Suppose -6*c + 8 = -2*c. Let s(f) = f - c*f - 2*f. Give s(v(p)).\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4322 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d + 2. Let y be l(-2). Suppose 7*f = -5*i + 2*f + 315, -i - 5*f + 63 = y. Calculate the greatest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -686*g + 17230 = 3001 - 6351 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*h**3 + 1967*h - 1967*h.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 + -10000010000101011111100011?\nAnswer: -10000010000101011111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -14. Sort p, -2, -3.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18692679*g**3 - 43538456*g**2.\nAnswer: 112156074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 166 + 186. Suppose 3*y = 3*w - 183, -2*y - 4*w = 251 - 99. Let g = -62 - y. Sort -14, g, 1, z in descending order.\nAnswer: g, 1, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1190*s**3 + s**2 - 632 wrt s?\nAnswer: -7140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.4 and -4585038?\nAnswer: 4585036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -419, -421, -421, -419?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0*(2 + 8\/(-12))\/(-4). Suppose b = -2*p - 10*p + 4656. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*u + 14, -4*q = 4*u - 5*u - 8. Let h = u + 89. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -6*z**2 - 3*z + 3. Let o(u) = 140*u**2 - 8 + u + 6 - 139*u**2 + 1. Suppose -5*k + 11 - 1 = 0. Suppose -k - 3 = -5*g. Calculate g*a(t) + 3*o(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, 25, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1307*l**2 - 513 + 1534 - 509 - 512 to the form w*l**2 + y*l + q and give w.\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 175322472 and -49226.4.\nAnswer: 175273245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1543 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29069 is divided by 1162.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**2 - 96*y + 15*y**2 + y**2 - 8*y**2 - 6*y**2.\nAnswer: -y**2 - 96*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4845 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 15 - 337. Let k = -31 - z. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3528 - -3527. What is the third biggest value in -5, f, 679?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 278087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -3*y - 0*y + 4*u, 5*y - 90 = 2*u. Let k = 109 - y. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4021351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1581019?\nAnswer: 11, 143729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 1305.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13809096 and 10521216.\nAnswer: 220945536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*o**4 - 59972*o**3 + o**2 - 11*o - 28150 wrt o.\nAnswer: -312*o - 359832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.06 + -0.492. Let i = 0.932 + m. Sort -2, -0.4, i in ascending order.\nAnswer: -2, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.95 - -0.05. Let f = p + -21. Let y = -12 - f. Which is the closest to -1?  (a) y  (b) -1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 815*i**4 - 48*i**3*s**2 + 16891*i*s - s**2 wrt i?\nAnswer: 9780*i**2 - 288*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v + c - 4 = 38, 24 = -3*v - 2*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 9401  (c) 29  (d) -0.3  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, -6, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7, 16, 41, 88, 163, 272, 421?\n\"Answer: r**3 + 2*r**2 - 4*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - p. What is the third biggest value in 1\/6, -15, p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137208 is divided by 45484.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 894912659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of l**5\/10 - l**4\/3 + l**3\/3 + 4*l. Let u be a(2). Is 37*2\/(u - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**5\/20 + 5*s**4\/12 - 5*s**3\/6 - 3*s**2\/2 + s. Let j be q(4). Let p = j - -4. Are p and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4125*t - 4128*t - 4123*t - 4121*t + 16491*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 27634530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 - -7 - 15\/1. Let w = -10 - o. Let p = -1627 - -1630. What is the least common multiple of w and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (10\/6)\/((-50)\/(-180)). Let y be 8\/v*2\/(-24). Is y equal to -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9*(3\/9)\/(-1). Which is the closest to -0.2?  (a) 0  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - 12. Suppose f = 4*f + 42. Let j be x(f). Solve -3 = -y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 2 = -5*i - 17, -2*p - 23 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -12691*r**3 + 25404*r**3 - 12712*r**3 + r**2 - r + 1. Let m(k) = -4*k**3 - 2*k**2 - k - 2. What is -m(u) - 2*t(u)?\nAnswer: 2*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -83 (base 9) to base 3\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 1, d: 4, t: 1, b: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -2*s**2 - 2*s - 14. Suppose 4*x = -25 + 21. Let l(r) = r**2 - 4*r - 2. Let u be l(x). Calculate i(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 59*l + 397. Calculate i(65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.3, 0.1, 5, 2\/49, 33\/17, 0 in descending order.\nAnswer: 5, 33\/17, 0.1, 2\/49, 0, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3909 divided by -73.\nAnswer: 3909\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -1  (c) 7\/5  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s**2 + 10*s + 40. Calculate a(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11059974 to the nearest integer?\nAnswer: 3326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 26 - 7298\/287 - -8*(-158288)\/7. Round f to the nearest 1000.\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*b = -9445, 10*t - 5*t - 3*b = 15761. Is 137 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**3 + 11*l**2 + 4*l + 1. What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 38*h - 6. Is v(3) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678.0881 centuries in months?\nAnswer: 813705.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 - 10 + 0 + (4 - 4 + 1)*(5 - 2 - 1))*(-33 - 39*p + 33 + (0 + 0 + p)*(-2 + 1 + 0))*(-3 + 3 + 5*p) to c*p**2 + y*p + z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23216490.\nAnswer: 2, 3, 5, 11, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-4) - (-2)\/8. Suppose z = 2*l - 3 - 39. Let h = l - 11. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 - i**2 + 2*i**2)*(-3*i**3 - 21 + 21) + (1 - 2*i**3 - 1)*(2 + 2*i**2 - 2) + 2*i**5 + 3*i**2 - 3*i**2.\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 37*s - 1416. Determine a(-60).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -0*d + 4. Let g = 0.01 - 11.01. Let v = -15 - g. What is the biggest value in v, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, t: 2, b: 1, m: 5, e: 2}. What is prob of sequence rrt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/6*-10 - -2. Let l = 11 - a. Solve -l*g - 22 = -6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 2. Suppose 0*w + 2*w - 6 = 0. Suppose 0*s + s = 5*x + 6, -10 = w*x + s. Sort h, x, 1\/3 in descending order.\nAnswer: 1\/3, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 81159.5, 2\/21 in decreasing order.\nAnswer: 81159.5, 2\/21, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 67402757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 41 + 259694?\nAnswer: 259715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 85748 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -15, 5, -151 in descending order.\nAnswer: 5, -6, -15, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and 32927746.\nAnswer: -1646387.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 12:03 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 144450 divided by 50\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - -3. Let y = 17.6 - b. Let a = -29\/50 + 2\/25. What is the closest to a in -4, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 5*y**3 + 2*y**2 - y. Let f(c) = 2*c**3 - 13*c**2 - 15*c + 57. Let o be f(7). Give p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*t**3 - 2*t**3 - t**3 + 0*t**3 + 0*t**3 - t**3 + (5*t**2 - 3*t**2 - t**2)*(-2*t + 5*t - t) + (-3 - 3 + 4)*(-t**3 + t**3 - 2*t**3).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 47 in -2\/11, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(1100))*-3)**2*-1 + 0.\nAnswer: -10044 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 4*g**2 - 18*g - 33. Let z be j(-6). Suppose -z*h + 764885 + 359815 = 0. What is h rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-240)\/(-50)*((-520)\/(-39))\/(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 43*b + 13 + 30 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 419346, 419347, 419348?\nAnswer: 419349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4116 + 4134. Let x(r) = -1. Let f(k) = 6. Let a(i) = -f(i) - 5*x(i). Let c(m) = 6*m - 18. Calculate p*a(z) - c(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + x + 3. Let q be -7 - (-1 + 2 + 0). Let s be p(q). Suppose 3*z + 5*b - s = 0, 2*b = -5 + 1. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 3*w - 24, -4*d = 5*w - 153 + 113 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 422315521 (base 6) to base 4.\nAnswer: 130032002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 645981?\nAnswer: 645983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -0.0757666.\nAnswer: 0.0757666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 1065 = -51. Is d a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17087426*b**5 + 9480552*b + 16.\nAnswer: -341748520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-75)\/90 + 1470\/36. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i - 7. Let g be x(5). Suppose -g*r + 6 = -r. Suppose 279 = r*v + w, -w - 4*w - 279 = -3*v. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*m**3 + 7*m**3 - 7*m**3)*(-2*m + m - m)*(2 + 4 - 5) to v + u*m**3 + r*m**2 + g*m + y*m**4 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*p + 870*p - 1626 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 41159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -3*v**2 + 1257*v - 8652 = 0.\nAnswer: 7, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -v**2\/4 - 481*v\/4 - 11352 = 0.\nAnswer: -352, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.41 - 29.99. Let p = l - -0.4. Let g = 31.99904 + p. What is g rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 15 = 2*r - 39, -4*p = 3*r - 22. Suppose -5*u - n = -5, 0 = -2*u - 0*n - 3*n + r. Solve u = -k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*v + 11. Let q(i) = v*i**2 - 7 + 1 + 3. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*h - 6*h. Let i = h - -6. Suppose 3*z = -5*b + 24, i*z + b = 6*b - 9. Solve 2*l = 5*l + z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 45830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54793657?\nAnswer: 54793657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34485 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5562.236 days to microseconds.\nAnswer: 480577190400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8826 divided by -70.\nAnswer: -4413\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -275*c*z + c - z + 559 wrt c?\nAnswer: -275*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/59, 202, 3\/2, 0.02, 5?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*d - 1. Suppose -11 = -6*j + 7. Suppose u + 4*n - d = 0, n - 11 = j*u - 56. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**2 + 228*r + 2880.\nAnswer: 3*(r + 16)*(r + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 7*m**2 + 4*m - 4. Let h(w) = 6*w**2 + 3*w - 3. Suppose 2*f = -4*t + 4, -t = 5*f - 10*f - 23. Calculate f*h(q) + 3*j(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from {e: 1, f: 1, d: 2, s: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 7*g**2 - 7*g - 7. Suppose 2 = 3*r - 4. Let j(c) = 2*c**2 - 2*c - 2. Give r*z(t) - 7*j(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 4 = 0, -5*r - 5*p = 7 + 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - g + 0*g)*(19*g + 156 - 156).\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 1. Let j be 15\/2 + l\/2. Suppose -3*a + 11 + j = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 - 10*b + 4. Give l(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 328, 322, 304, 268, 208?\n\"Answer: -k**3 + k + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -278.4 - 29.6. Sort f, 1\/9, 1\/2 in descending order.\nAnswer: 1\/2, 1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 - 59. Let b(f) = -3*f - 26. Let t be b(d). Suppose 2*o - t*o + 16 = 0. Which is smaller: o or 27\/4?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**5 + 74*c**4 + 950*c**3 + 5094*c**2 + 12096*c + 10584.\nAnswer: 2*(c + 3)**3*(c + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 213 - 140. Let c = x - 67. Are c and 6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o**2 + 3*o + 4. Let r(p) = -4*p**2 + 2*p + 3. Suppose -777*n + 176 = -865*n. Calculate n*j(g) + 3*r(g).\nAnswer: -4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 48 + -44. Suppose 5*i + 24797 = y*z + 1256, 0 = z + 2*i - 5869. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -7*v. Let f(x) = 35*x**2. Determine f(z(n)).\nAnswer: 1715*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 482 and 46089563.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (102 - 92) + -2 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h - 6 - 7 = 0. Let t be 46\/(-23)*(h + 23\/2). Is (-1419)\/t - 15\/(-35) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/9*(-5 - 4*-8). Suppose t*x - 28 = 2*x. Let f = x - -2. Calculate the highest common factor of f and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1155)\/1001)\/((-1)\/13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61, 122, 173, 208, 221, 206?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -16201?\nAnswer: 5\/16201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1225 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + -6 + -19 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19\/1403612 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 - 130776cb?\nAnswer: -130776d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 4*g + 8, -k - 11 = 3*g - 21. Suppose k*f - 23*f = -10444. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 9*j - 12. Solve m + 4 = -o - 0*m, 2 = 4*o - j*m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46068985 times 0.8?\nAnswer: 36855188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 27, -101964, -31?\nAnswer: -101964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16110 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 224*o**2 - 3038*o - 10717. What is z(237)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 541*z + 106110 = 128832 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 13422?\nAnswer: -13427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 580 and 30158840.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2bb - -1be6?\nAnswer: 192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*c**4 + 164650*c**3 - 39185*c**2 - 9 wrt c.\nAnswer: 384*c + 987900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -99*b**2 + 256*b - 11. What is f(3)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1045214 divided by 16\nAnswer: 522607\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 178 = -214. Solve 0 = 19*b - 22*b - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/10*-3*16\/(-1440)*-30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 125, 307, 569, 911?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -8*0.05162\nAnswer: -0.41296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-4)*((p**4*p)\/p)\/p)**(3\/5))**(-2) assuming p is positive.\nAnswer: p**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -95021363*c**2 + 19232363 wrt c?\nAnswer: -190042726*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g - 828 = -756 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1049559 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 117 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 3969?\nAnswer: 3972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 139965 and 12513.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1523*0.3.\nAnswer: -456.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/((h\/(h**(-1\/3)*h*h*h))\/h)*h*h**0*h*((h\/((h\/(h*(h\/(h**(1\/2)\/h))\/h*h))\/h*h))\/h*h)**18*((h**(-3\/5)*h)\/h**9)**(-3\/16) assuming h is positive.\nAnswer: h**(12547\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -26c532 (base 14) to base 13\nAnswer: -37bc74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 2*p - 97, 3*h - 762*p = -761*p + 56. Let s(a) be the second derivative of 0 - 1\/21*a**4 + h*a - 4\/7*a**3 + 0*a**2. Factor s(d).\nAnswer: -4*d*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -7653*j + 7655*j + 61, -v - 4*j = 120 + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 160516.231981 + 3.\nAnswer: 160519.231981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 + 10*o - 2. Suppose 5*n - 15 = j - 6*j, -5*j = -3*n + 9. What is the remainder when k(-7) is divided by 1*8 + (4 - n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 3271*q - 3268*q - 4*r, -3*r - 26 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 439767729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**3 + 4*a**2 - 4*a - 4.\nAnswer: 4*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43*c + 20*c + 44*c)*(-4*c + 0*c + 2*c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2\/3, 0.09, 1\/3, 5\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((-3*sqrt(190)*2)\/((sqrt(100)\/sqrt(5))\/sqrt(2)))**2)*-5.\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 + -4. Let y = -15 + g. Is 7 a factor of (81\/6)\/((-2)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus -98?\nAnswer: 97.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4 = -n + 1, -2*g = 5*n - 11. Suppose 12 = n*l - 30. Let d = 74 - 66. Calculate the smallest common multiple of d and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/56311  (b) 7  (c) -0.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2091\/20 - 524\/5. Let n = 1745820227\/64581 - 513626\/19. Let q = n + 2\/309. Which is the nearest to -4?  (a) q  (b) -0.1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 275 - 156. Suppose t = n - 68, 2*n + 2*t + 67 = 3*n. Let m = r - n. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 6*a - 34. Let f be u(6). Suppose 0 = -4*z + 2*q + 3944, 3*z + f*q - 2450 = 522. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3608876.\nAnswer: 2, 29, 53, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*18\/(-4)*1. Let k be ((-265)\/(-60))\/(1\/2). Let l = k - u. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5578, -5579, -5580, -5581?\n\"Answer: -r - 5577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 66*l**2 - 63*l - 302. Give t(67).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2. Suppose -5*t + 2*t + 16 = 4*v, 16 = t + 4*v. Let y = 1 + t. Let p(r) = -r**2 - y + 1. Give p(b(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.08 + -0.08. Which is the closest to 0.1?  (a) d  (b) -0.09  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110001 (base 3) to base 10.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 58*w**2 - 4*w - 5. What is j(-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 35?  (a) 3  (b) -621.45  (c) 1\/3  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m - 3*j = 6*m, 2*m + 14 = -j for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - 2*n - 58. Determine c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273083 a multiple of 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/((-63)\/(-4)))\/(76\/(-1330)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5959164, -11918328, -17877492?\nAnswer: -23836656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -1718 - -1741. Solve -8*i + f = 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4069, 4117, 4239, 4471, 4849, 5409?\nAnswer: 6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10405, 41693, 93873, 166957, 260957, 375885, 511753, 668573?\nAnswer: 846357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4150 by 830.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-243)\/18)\/(-9))\/(3864\/(-92))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of f**7\/21 - f**6\/15 - 2*f. Let z(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/7 or 7586?\nAnswer: 7586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3695 - 20957 = 3193*p - 2782*p for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*g + g = -14, 66 = 4*n + g. Suppose -11 = -d - 0*d. Let b(w) = w**3 - 11*w**2 + 4*w. What is the lowest common multiple of b(d) and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 132 - 133. Suppose -y - 2 + 4 = 0. Let o be (y - (1 + 2))\/f. Sort o, 0.4, -1 in ascending order.\nAnswer: -1, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*a = -2*u - 22*a + 24516, u - 12243 = 5*a. What are the prime factors of u?\nAnswer: 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/200 and -79\/28.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -3*a - 15, -4*b - 88 = a - 71 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 26\/7 of a week?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 2*t**2 + t**2)*(-4*t**2 - 10*t + 10*t) + 2*t**2 - 3*t**4 + 1 + 0*t**4 + 0.\nAnswer: -15*t**4 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1134*n**4 - 217486008*n**3 + 131181560*n**2 + 12274368*n - 12274304 = 0.\nAnswer: -2\/7, 4\/9, 191786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -199478750700 to the nearest 1000000.\nAnswer: -199479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1575 by 21.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 390*k + 188*k + 7 - 34*k - 3 in the form b*k + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 7*v + 2. Let d be y(-6). Let x be (d + -1 + 4)*-2. Suppose -7*o = -x*o - 90. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 46*j**2 + 39*j - 1. Let y be p(-1). Put 11, 2, y in decreasing order.\nAnswer: 11, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.15 + -0.15. Let t = q - 1.88. Round t to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-42 - -3) + 8 + -7. Let u = p - -71. Calculate the highest common factor of u and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.8 + -1. Let f = -14.8 + k. Let s = f - -13. Which is the closest to 0.04?  (a) s  (b) -4  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 31 + 8 = 0. Suppose 0 = -3*f - 12, 0 = -d - 2*d - 3*f - 69. Let u = t + d. Solve -u*o + 5 + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -602 + 611. What is the second biggest value in b, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-1)*o)\/o**(1\/9))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3620, 7342, 11068, 14798, 18532, 22270?\n\"Answer: 2*l**2 + 3716*l - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from izioelieiilileli. What is prob of sequence lil?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a33 - 8?\nAnswer: -a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14679 times 96?\nAnswer: -14.09184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 divided by -33.\nAnswer: 49\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 40191c - -1?\nAnswer: 40191d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1*(-1 + 5))\/(-1). Let g = 3 + -3. Let t = 0.1 - g. Which is the closest to -1\/3?  (a) t  (b) 0  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 282, 283, 284?\n\"Answer: b + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*s - 28 = 1, -2*k - 49 = s. Let o be k\/(-2) - (-5)\/10. Is 656\/10 - o\/(-30) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by (-4)\/(4\/(-21)) + 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -75625 to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/3950 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.253 - 0.043. Let x = -0.09 - d. Put 0, x, 0.2 in decreasing order.\nAnswer: 0.2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 30 = t, 2*m + t + 41 + 19 = 0. Let d = 33 + m. Solve d*g - g + 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -4. Suppose 3*x = -2*a - 2 + 16, 4*a - 16 = 0. Let j(p) = 5 + 11*p - 1 - 7*p - 5*p - p**x. What is j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -3  (c) -2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*y + 3*l, -3*l = 2 + 1. Solve -8 - 3 = -4*h - y*c, 4*h + 2*c = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*g - 818 - 92. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 8. Let t be ((-12)\/(-8))\/((-1)\/(-2)). Let a be (7\/t + -3)*-3. Solve -x*i - 2 = 0, b + i + 0 = -a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 k when four letters picked without replacement from oookkkooooooko.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 48\/(-99)*(-11475)\/(-102). Is -55 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nonnnnzok. Give prob of picking 1 o and 1 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/14*-63*(-7)\/(-252).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3029685 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 7*v + 8. Let o be 4 + 6 - 4*1. What is the remainder when 53 is divided by q(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14536310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -471518?\nAnswer: -3\/235759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gktigggqit. Give prob of picking 1 q, 1 i, and 1 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.86 - -0.14. Let w = l + -4. Let f = 0 + 3. Which is the closest to 0?  (a) w  (b) -1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 536589.4 litres to millilitres.\nAnswer: 536589400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7831?\nAnswer: 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 3)\/(4\/10). Find the second derivative of -2*r**k - 6*r**3 - r + 6*r**3 wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.04 + 0.04. Let h = -31\/15 - -7\/5. Let d(z) = -2*z - 22. Let c be d(-13). What is the nearest to h in c, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b + 1. Let a be g(4). Let j = 1 + a. Calculate the least common multiple of j and (76\/14 + -4)*7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 + 77\/21)\/((-2)\/27). Let r be ((-66)\/j + -2)*-3. What is the greatest common divisor of 68 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + 259021933.7417\nAnswer: 259021934.1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**2 + 80*l + 204 = 0. Calculate l.\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -969 - -284946.\nAnswer: 283977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -278 - -93. Let p = x - -373. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**3 + f**3 + 3*f + 2*f**3 + 3*f**3 + 4*f**3 - 5*f**3 + (5*f - 3*f - 3*f)*(-3*f**2 - f**2 + 2*f**2) - 2*f**3 - f**3 + 5*f**3)*(4*f + 0*f - 6*f).\nAnswer: -16*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 93\/5  (b) -3  (c) -1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 + 6*t**2 + 6*t + 3. Suppose m - 3*d = 24, 6*m = 4*m - 3*d + 3. Let q(x) = x - 4. Let w be q(8). Let v = w - m. Calculate h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -30*v. Let b(u) be the second derivative of u**4\/12 - 13*u. Calculate b(f(j)).\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-4)\/s)\/s)\/s**(-6\/5)*s*s\/s**(-7)*s*(s*s**(2\/11)\/s)\/s assuming s is positive.\nAnswer: s**(241\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42322, 169724, 382136, 679552, 1061966, 1529372, 2081764, 2719136?\nAnswer: 3441482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.688419385 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j + 6, -55081*x - 31 = -55083*x + 103*j + 261 + 29 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 39 - 31. Let r = x - -13. Let k be (-4)\/9*1\/4. Which is bigger: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of z**4\/12 - z**2\/2 + 6*z. Let b be j(-2). Let x be 7 + 3 + (1 - 3). Solve -28 = 5*f - x, -2*i - 10 = b*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 a when three letters picked without replacement from qniuiau.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*-6 - (8 - 10). Let z be (5\/(-10))\/(p\/4). Put 0, 2\/5, z in increasing order.\nAnswer: 0, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 739 - 739. Which is the closest to 1\/3?  (a) -0.5  (b) -1\/6  (c) 5  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 2*i**3 - 24*i**2 + 70*i = 0.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195919?\nAnswer: 195919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 364*c**2 + 757*c.\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u - 9*u = 16. Suppose 5*g - 91 = 4*y, -u*g - 2*y + 42 = -5*y. Solve -g*l - 10 = -10*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -399 - -51411?\nAnswer: 51012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -11. Suppose -s*c - 5 = 5*a - 20, 2*c = 2*a - 24. Let b be ((-36)\/63)\/((-2)\/a). Solve -j + 0*j = -b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 483489 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.026  (b) -0.04  (c) -0.064  (d) -2\/53  (e) -2\/17  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, s: 4, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b*c*g**3 + 4*b + 15*c*g**3 - 2*c*g**2 - 2*c + 3*g**3 - 27 wrt g.\nAnswer: -6*b*c + 90*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 4544c27?\nAnswer: -4544c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 1223*a - 313147. Determine h(256).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 11. Find the third derivative of -3*t**2 + t**6 + t**r + 3*t**6 wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + 5. Let v = 7.9 - s. Which is the smallest value?  (a) -0.4  (b) v  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296.35 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -75, -5, 0.3, 1\/14, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 0 + 3)*(-4 + 1 - 1)*(13 - 4*t**2 + 3*t**2 + 44 + (-2*t + 4*t - t)*(-4 + 4 - 2*t) - 5*t**2 + 5*t**2 - 3*t**2).\nAnswer: -72*t**2 + 684","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.8437781 seconds in hours?\nAnswer: 0.00217882725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -976*s + 10878*s - 1240*s.\nAnswer: 8662*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22218509\/147875 + 25347\/169. Let l = 2\/125 - h. Which is the nearest to l?  (a) 0.1  (b) 5  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*f - 3*d, f - 5*f + d + 32 = 0. Let g = 33 + -18. Let a = g - 14. Sort f, -1\/3, a in ascending order.\nAnswer: -1\/3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 48*q - 250. What is the biggest value in q, 48, 1, 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4471*x**3 + 2 - 749*x + 749*x.\nAnswer: 4471*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -374, -932, -1490, -2048?\nAnswer: -2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -c, 194 = z - 3*c + 8*c. What is the remainder when z is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnnnnnnnnninnnnnn. What is prob of picking 1 i and 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 813419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -277, 4, 13.\nAnswer: -277, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6699 + -6698.6. Which is the fourth smallest value?  (a) -2  (b) m  (c) 602  (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/4 - 10\/((-70)\/(-21))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 1 = -3. Let d be -73 - (0 - 3 - a). What is the tens digit of 1\/((-75)\/d + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 561\/(-2975) - (-1)\/5. Let j = v + 167\/700. Factor j*d**3 + 0 - d**2 - d + 1\/4*d**4.\nAnswer: d*(d - 2)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 91\/(-39)*(-27)\/42?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 - 36. Let s = z + 17. Find the third derivative of 0*v**2 + 9*v**2 - 3*v**2 - 5*v**2 - s*v**4 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0473539 millilitres in litres?\nAnswer: 0.0000473539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 666350.\nAnswer: -1332700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*c + 40*c - 64 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 261141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((0 + sqrt(147))*-3 + sqrt(147) - (sqrt(147) + sqrt(147) + -1 + 2)) + 5 + sqrt(147) + (sqrt(147) - (1 + -2*sqrt(147))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -52425, -104848, -157271, -209694, -262117, -314540?\n\"Answer: -52423*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 4*q. Let d be s(-5). Let o(t) = -t**3 - t**2 + 3*t - 3. Let g(l) = l**3 - 4*l + 4. Let h(i) = d*o(i) + 4*g(i). What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1621 - 3238 + 1617 - 10*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r**3 + 31*r**2 + 8*r + 3. Let t be d(16). Let j = t + 135. Solve 5*i + 5 = -j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215646 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 185478 and 798.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 5*t - 10, -3*t - 16*k - 26 = -12*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(12))**2 + 4)*1 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**2 + 314*z + 170. Does 69 divide p(118)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.384 to one dp.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 0 + 2\/3*w**3 - w + 2\/3*w**4 + w**2. Let t be i(-2). Solve 5*l - 23 = -4*d + 4*l, 0 = -4*d - 2*l + t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 12 + 30 = 0. Let f = -12 + z. Solve -4*q + 5 = -3*o - 0, -4*o + f = -q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.56 + 28.56. Let p = 27.999962 - j. Round p to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(-3)*(-15)\/20. Let h(o) = -3*o**2 - o. Let f be h(-1). Let z = 13 - f. Sort z, -5, a in decreasing order.\nAnswer: z, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -35, -101, -219, -395, -635?\n\"Answer: -w**3 - 20*w**2 + w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.102818473 rounded to 5 dps?\nAnswer: -0.10282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1 + sqrt(2299))*2)**2 + 4 + -1.\nAnswer: -1408*sqrt(19) + 147203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 128627 divided by -5\nAnswer: -128627\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -67585\/24 > -2815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + v)*(0*v**3 - 1 - 38*v**4 + 40*v**4 - 2*v**3).\nAnswer: 2*v**5 - 2*v**4 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-8\/5)\/j*j\/(j*j**(-1\/7)))**(-30)*j**7*j**0\/j*j**3*j*j**(-4) assuming j is positive.\nAnswer: j**(558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5.5 times -0.5\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*(u**(-1)*u)\/u)**(-34))**16)**(-12) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 128*o - 3607158 + 3615478 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -310.13168 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*u - 156 = 2916 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/9 and -48\/110692061.\nAnswer: 996228549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.08 - -0.02. Let h = 0.8 - 0.3. Let z be 6\/(-8) + 6\/(-8). Which is the closest to p?  (a) h  (b) 4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 24*o**2 + 111137*o + 5864222?\nAnswer: 48*o + 111137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18275 is divided by 4361?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.764 + -3. Let q = m + 7.6. Round q to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/5)*x)\/(x*x*(x*x**(-8))\/x) assuming x is positive.\nAnswer: x**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -149*h**2 + 4*h + 4. Let z(n) = -150*n**2 + 5*n + 5. What is 5*x(a) - 4*z(a)?\nAnswer: -145*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 392 - 391.9. Let k = -0.2 - -3.2. Which is the nearest to d?  (a) 1\/4  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 1. Suppose g = 6*c - 3*c. What is the remainder when 61 is divided by c\/((-94)\/32 + 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*p + 19*p - 6*p**2 + 28*p**2 - 7*p.\nAnswer: 22*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/7 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-324)\/(-2970))\/((-21)\/154).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265759 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -47 - 47 - 8 + x - 37 as b*x + i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {p: 2, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/10*30\/12. Let w = a + 0. Solve 2*q + w = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/13070240 and -97\/52280960?\nAnswer: 52280960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 11:50 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + -1 + (sqrt(26)\/sqrt(2))**2)*-1*-3.\nAnswer: 3*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 16) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.904603 centimeters to micrometers.\nAnswer: 79046.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, -4\/25, 14, -25\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 9 = -3*o + 2*s, -4*o + 31 = 5*s. Suppose 112 = -o*r + 124. What is the nearest to -0.1 in 0.03, -0.3, r?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5*(sqrt(468) + sqrt(468) + (sqrt(468)*1 + 4 - sqrt(468)) + -5*(0 + sqrt(468))) + 0)**2.\nAnswer: -317100 + 10800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45052 and 45052.\nAnswer: 45052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 7\/(-2) - (-7)\/2. Let i = -32 + 34. Suppose 5*v = -i*z + 15, 0 = f*z - 0*z - v - 14. Solve -5*x = 5 + 5, z*l + 26 = -3*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -249868 or -244758?\nAnswer: -249868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(6\/7)\/m)\/m**(-2\/11))\/(m**(-1\/4)*m)**(1\/50))\/((m*m**(2\/13)\/m)\/m**8*m**(-2)\/(m*(m\/m**(-2))\/m)) assuming m is positive.\nAnswer: m**(2576597\/200200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5720 = 551*u + 2414 + 10049 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3636 = 2*b + 4*y, -2*y = -2. Suppose 3*r + 1163 = n, -5*n + 2*r = -b - 2183. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 9*k - 6. Let t be f(-8). Let g be 4 + (-3 - -4 - t). What is the second biggest value in 4, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2426.984146 rounded to the nearest 10?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.1?  (a) 5  (b) -3  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0515 smaller than 10.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -91 by 885.\nAnswer: -91\/885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23894 + 23895. Sort 0, j, -1\/4, 0.07, 21\/8.\nAnswer: -1\/4, 0, 0.07, j, 21\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 956031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -10102 (base 3) to base 8\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 65 and 7474207?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and 3137292?\nAnswer: 3137291.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 429762 and 84.\nAnswer: 6016668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 55 times 94970\nAnswer: 5223350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*r - 2*r - 9, 3*o = 2*r - 6. Let z(y) = 0*y - 9*y + o*y. Let n(s) = -2*s**2. Calculate n(z(i)).\nAnswer: -162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*n - 103*n - 169*n - 165*n - 62*n + 8*n.\nAnswer: -412*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, a: 5, g: 5}. What is prob of picking 3 a and 1 v?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*w**2 - 1103*w**3 + 113*w**2 + 884*w**3.\nAnswer: -219*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*a - 27, 0 = 2*a + a + 3*s. Find the second derivative of -4*t**3 - 36*t - 7*t**a + 31*t wrt t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of -4*m**2 + 3*m**3 - m**3 + 0*m**2 + 5*m**2 - 27. Find the second derivative of p(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -9\/5*w**5 + 0 + 6\/5*w**4 + 1\/5*w - 6\/5*w**2 + 8\/5*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03608 rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 + 3 - 83*(5 - 0). Let g = o + 705. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1746999561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -807555 - -807562.50043. Let y = 7.5 - f. Round y to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 - 9 = -m, 18 = 2*m - 2*u. Solve 3*j + 6 = 4*j + 3*g, m*j - g = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.19707328 to four decimal places.\nAnswer: -0.1971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -690 + 692. Solve 22*u + 20 = m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 502026809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5\/4, -0.1, -391.79?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 10:59 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 1952*c**3 - 7*c**2 + 8*c + 14. Let h(b) = 1464*b**2 - 3*b + 2. Let y(o) = -2*g(o) + 9*h(o). Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2002 = 116*s - 2127 + 5637 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 34*r - 246. Let i be a(23). Solve o - 7 = -i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**4\/7 - 21204*g**3\/7 - 112275083*g**2\/7 + 192874656*g - 1237826304\/7 = 0. What is g?\nAnswer: -10608, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -9*t**2 + 52*t + 12. Let h be c(6). Suppose -3*p + 1 = m, 2*p - p + m - 1 = h. Put 6, -1, p in decreasing order.\nAnswer: 6, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j*j**(1\/17))*j*j**(-1)*j)\/(j**(2\/5))**(-13\/6) assuming j is positive.\nAnswer: j**(206\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/12)\/((5957\/(-74))\/23)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 102. Suppose w = a + 171. Calculate the remainder when w is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4d00cd (base 15) to base 16.\nAnswer: 3864ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/5 of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/15)\/(-4)*(4 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 722 + 4578. Suppose -36*i + 38*i = b. List the prime factors of i.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -3*x**6\/2 + 11*x**3\/3 - x**2\/2 + 41. Find the third derivative of w(y) wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 17. Suppose -2*d + 8 = 0, -3*f = 3*d - m*d - 325. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -543*p + 544*p = 14*v + 54, v + 12 = -4*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 3. Let w = o + -2. Let d(i) = -i**2 + 2. Let s be d(0). Solve s*p + 27 = -5*y, y + 4 = -w*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2442 (base 7) to base 10\nAnswer: -912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -718 plus 13727241365?\nAnswer: 13727240647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*18*(-1)\/(-3). What are the prime factors of 3\/(-6) + 75\/s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 401653761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 66 + -67. Let l = 12 + -2. Is 11 a factor of 15\/(i + 13\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72250583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 100590, 100580, 100564, 100542, 100514, 100480?\n\"Answer: -3*d**2 - d + 100594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 2*g**2 - g - 391000. Suppose 0 = -3*j + 4*z - 8, 5*z - 10 = 2*j + 2*j. Let p be b(j). Round p to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -15\/886  (b) 15  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b + 8. Let d(n) = -n - 3. Calculate 7*d(k) + 2*t(k).\nAnswer: -3*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 0, -0.3, 90.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5777, -10478, -15179, -19880?\n\"Answer: -4701*l - 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = c - 0*c, 5*a + 3*c = 16. Suppose -2*p + 4*w = -30, a*p + 5*w = 6 + 9. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 + -55. Find the second derivative of 83*b**2 + 33*b + 6*b**2 - 39*b**m wrt b.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11.6?  (a) -3  (b) 1  (c) 0.24  (d) -7  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 3*z + 4, 0 = 4*i - 7*i + 4*z - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x + 3*x - 12472 + 9*x + 12472.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2560\/256*1\/(-7)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h. Let b(d) = 153*d + 125*d + 108*d - 141*d. Give b(p(w)).\nAnswer: 490*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -404689 - -404729.0051. Let a = -0.089 + 40.089. Let i = v - a. Round i to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -5*x + 5. Let z be h(-8). Suppose -16 = -2*f + 3*g + 5, -f + 5*g - 7 = 0. What is the greatest common factor of f and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1987201019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 6, 0 in increasing order.\nAnswer: -4, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 323\/2886 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8856 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 3  (c) 1597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -7982 * 3205\nAnswer: -25582310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -7171*h**6\/120 - 9479*h**5\/60 + 15*h**2 - 264. What is the third derivative of s(w) wrt w?\nAnswer: -43026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -11*j**2 - 5*j - 5. Let m(c) = 6*c + 8*c + 2*c + 10 + 6 + 34*c**2. Let p(x) = -5*m(x) - 16*o(x). Let v(z) = 2*z. Give v(p(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 16 = 4*g, 4*t - 5*g = -3*g - 8. Solve l - 4*w = 15, 3*l - 10 + t = 5*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -1204*l - 2 - 1207*l + 2406*l. Determine x(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 2*v - 1. Let g be m(3). Solve 5*j + 28 = 2*l, -2*j - g*l - 4 = -l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 8*y + 31. Let s be i(-9). Let t = 68 + s. Suppose -2*p - 3*f + 42 = 0, t = p - f + 1. Calculate the remainder when 44 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -5*m**3 + m**2 - m - 1. Let y(s) = 2*s + 1. Let d be y(-1). Let i be g(d). Is i at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7913 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 507461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-12)*2\/(-10))\/((-2)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00512317988 rounded to five dps?\nAnswer: -0.00512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1283477774473+0.2\nAnswer: 1283477774473.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1573436571.\nAnswer: 3, 7, 74925551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2935571 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -18*u**3 - 7*u**2 - 10*u + 20. Is x(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*d**4 - 16539*d**3 + 524382*d wrt d?\nAnswer: 120*d**2 - 99234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 107 = 307. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/16 and -111\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0132458123 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 14 = -j, -36*z + 32*z + 6*j = -94 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does -194919091 = -194919091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i*i**(-17)\/i*i)\/(i**(-2\/15)\/i))\/((i\/i**(6\/5))\/(i**13\/i)))**(-16) assuming i is positive.\nAnswer: i**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*s**2 - s + 9*s**2 - 3*s**3 - 854*s**4 - 17 + 853*s**4 to x*s + q + h*s**4 + t*s**2 + m*s**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8133 - -12133. Is m a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 2*s - 768, 496 = 4*b + 3*s - 117. Let d = 86 + -40. Calculate the remainder when b is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + 1\/(-1) - -11. Let f = -7 + c. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36860762.\nAnswer: 2, 509, 36209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 75116142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 27 + -6 + 7 + (4 - 15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*v + u - 7, 5*v + 388*u - 378*u = 70 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n + 24. Let i be y(10). Suppose -i = -5*m + 6, m = l - 1. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 199, 1518, 5067, 11962, 23319, 40254, 63883?\nAnswer: 95322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 13\/27  (b) 1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - 40. Let h = v + 13. Let c = h + 31. Solve 3*g + c = 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 119256511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 46209767 divided by 46209767?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/15)\/o*o)\/((o*o**(-2\/9)*o)\/o*o))\/(o**0*o)**(-38)*(o**(2\/25)\/o*o\/(o\/(o**(-2\/7)*o))*o)\/(o**(-1)\/o)**(9\/2) assuming o is positive.\nAnswer: o**(72686\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/2 - -3*(-970)\/(-60). Calculate the greatest common divisor of 625 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53 + -16. Calculate the highest common factor of 37 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-3) - (99\/27)\/(-11)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of 19*o**6\/15 + o**5\/12 + 34*o**3 + 3*o**2 + o - 183. What is the third derivative of n(z) wrt z?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5502?\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367632419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/306 and 131\/7632?\nAnswer: 129744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 112466 (base 7) in base 5?\nAnswer: 1121023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*n, -z + 2*z + 2*n = -8. Suppose z = 4*p + 53 - 17. Is 12 a factor of 6\/p*138\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18511*m = 18513*m - 2*z + 18, -2*m - 4*z - 6 = -0*z for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 77.19415 milligrams?\nAnswer: 77194150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 28185 + 13335. Let w = -2491259\/60 + y. Calculate the common denominator of -131\/48 and w.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 - 75*h + 328680.\nAnswer: -5*(h - 249)*(h + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308777 = 1847*n - 1840*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/1709000 and -181\/4800.\nAnswer: 41016000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -78, -11, 1, 6\/7, 10, 2 in increasing order.\nAnswer: -78, -11, 1\/4, 6\/7, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/5)*j)\/j**(3\/7)*(j*j**(-5))\/j**5 assuming j is positive.\nAnswer: j**(-302\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g + 18, 742*n + 7 = 744*n - g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/(-870) - 202*(-4)\/1624.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/(-77)*(-14)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 3*u = -39, 2*u = -3*u - 5. Sort -3, -4, j in ascending order.\nAnswer: j, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of -17*x**3\/6 - 80*x. Let s(w) be the first derivative of w**2 - 1. Determine h(s(i)).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3982 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 134153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sfg when three letters picked without replacement from {x: 3, f: 3, z: 2, l: 1, g: 4, s: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 3*a**2 - a - 2. Let c(t) = -t**2 - 5*t - 5. Let r be c(-3). Suppose -6*x + 7 - r = 0. Suppose -3*h = -n - 14 - x, -3*h - n = -9. What is s(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9354 divided by 6?\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4700 = 8*j + 1028. Suppose 2*q - 28 = -3*p, q + 3*p - 19 = -8. What is the greatest common factor of q and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 12:53 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(-10)\/(-720))\/((-195)\/(-520))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*r + 325*r - 18675 + 602 = 36*r for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 1 - 5. Let 4*o**3 - o**q + 2*o**4 + 0*o**4 - 8*o - 5*o**2 + 8 = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 + 0)*(7 + 9 - 7) - 4 + 5 + 0)*(3*f - f + 0*f).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -789\/449?\nAnswer: -789\/449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 0)\/(1*24\/456).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 47*x + 44. Let z be d(14). Let t = z - 115. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25688338541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -902, -1794, -2842, -4124, -5718?\nAnswer: -7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 225*h**2 + 3019*h - 17915. What is p(-238)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 20*s**3 - 11*s**2 + 6*s - 1. Let a(k) = 19*k**3 - 9*k**2 + 5*k - 1. What is -6*a(o) + 5*g(o)?\nAnswer: -14*o**3 - o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*p - 26*p = -5*i + 15, -2*i - 2*p + 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -3. Suppose 0*i = b*i. Solve i*p**2 + 3*p**2 + 5*p + p = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -685 = -55*g + 60*g. Let n = g + 200. Calculate the remainder when n is divided by (-4)\/(-6) - 388\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 2*x - 3*x - 8, 2*y - 8 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -8 + 37 - (8 - 2). Suppose o*w = 1048 - 312. Is 31 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1544*d + 1548*d + 56 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (7 - (5 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10 - (-132)\/30. Suppose 4*p + 7 = -i, -3*p + 4*i = -m + 14. Let x be (-2)\/(-6) - (-1)\/p. Is -1 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -411397?\nAnswer: 1645588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 5*a + 4. Let v(x) = x - 9. Let l be v(5). Let s(t) = 6*t + 5. Calculate l*s(q) + 5*f(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 - -3 - -4 - (-7 + 0 - 10 - -28)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4321 + 2398 - 1799 = -155*k + 4803 for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 6*w + 20 = 0. Suppose -w*x + 101 - 31 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -1, 2.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11553*z**2 + 4011.\nAnswer: 23106*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0165 or -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(51) - sqrt(153)\/sqrt(3))*1 - sqrt(102)\/sqrt(2)*3)\/(sqrt(30)\/((sqrt(20) + sqrt(40)\/sqrt(2))\/sqrt(2))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**3 - 8*v**2 + 7*v - 1. Is d(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s - 7*s + s + (2*s + 0*s + 0*s)*(0 - 2 - 1) + 0*s + 2*s - 4*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of 0*y - 1\/3*y**3 + 0*y**2 - 187. Let m(p) = -5*p. What is t(m(q))?\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198 + 3*k**3 + 391*k - 392*k + 198 + 0*k**3.\nAnswer: 3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 948 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.3 + -2.7. Let k = 6 + i. What is the second biggest value in -0.1, 1\/7, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h*h**(-1\/18)*h)\/h)*h**(-6\/11))**(-8)*((h**(-2\/7))**(-2\/17))**(18\/5) assuming h is positive.\nAnswer: h**(237988\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.5540975 - 0.0339245. Let t = -0.589 - u. Round t to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 27723?\nAnswer: 27723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4072, 6445, 8818, 11191, 13564?\nAnswer: 15937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4671 * -0.05.\nAnswer: 233.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/9)\/(2\/1176) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in 5\/4, 26, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 93 - 20. Let m = -48 + p. Let w = -25.1 + m. Sort w, 4, -5.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 13*u**2 - 17*u - 21. Let k be o(-14). What is the highest common divisor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6568978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3 - w**2 + 3. Let m(v) = -25*v**3 - 2*v - 1. Let y be m(-1). Let s(k) = k + 26 - y. Give x(s(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.29 + 2.51. Let p = 1.8 - z. Which is the second smallest value?  (a) -0.5  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 166700081 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-3 + -4 + 8 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 9:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1376 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/3  (b) -61\/10  (c) -0.4  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 0. Suppose 3*u - s - 15 = 0, 4*s + 7 = u + q*s. Solve u*b = 3*b + 5*d - 27, 5*d - 21 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2087*c - 1045*c + 99*c**2 - 1040*c - 120*c**2.\nAnswer: -21*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4*d**3 - d**2 - 8*d. Determine g(-6).\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(1\/9))\/y)\/(y*y*y\/(y\/(y**1\/y))*y)*(y**1\/y)**13*(y**(-1)*y\/y**2)**47 assuming y is positive.\nAnswer: y**(-872\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, v: 6, d: 3, c: 1}. Give prob of sequence do.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1328205 divided by 7\nAnswer: -1328205\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*m**3 + 35246*m**2 - 35246*m**2.\nAnswer: 188*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -310 - -312. What is the derivative of 3 + 16*x**3 - 5 + 4*x**3 - x**g - 3 wrt x?\nAnswer: 60*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12403\/267360 - -27\/557. Let h(d) be the third derivative of 0*d**3 - 1\/24*d**4 + 0 - 32*d**2 - r*d**6 + 1\/60*d**5 + 0*d. Suppose h(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 9:28 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -37*q**2 - 5541*q + 1372. Determine b(-150).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2334  (b) 0.3  (c) 25\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 150 + -150.49. Let t = -0.48 - r. Which is the third smallest value?  (a) -1  (b) 1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t**5 + 0*t**5 + 0*t**5)*(3 + 2 + 3).\nAnswer: 32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -32, -19.6, -9, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 - 591*m\/5 - 5022\/5.\nAnswer: -3*(m + 27)*(5*m + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.77 in 4, -0.1, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 1818 = i - 8*w, -2*i + 2*w = -3692. List the prime factors of i.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -1482*s**2 - 5*s - 3. Let r be a(-9). What is r rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 1 = 2*x. Let j(q) be the third derivative of -q**6\/30 + q**5\/60 + q**3\/6 - q**2. Is j(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2 - 97869*p + 1468710 = 0. Calculate p.\nAnswer: -32638, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v - 1. Let c(u) = 3*u + 8. Let s be 45\/63 - 2\/(-7). Let m(x) = s*c(x) + 4*q(x). What is m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192056 divided by 8?\nAnswer: 24007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 914723827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 5, -16, 3\/4, 0.052, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -77, 0, -5, -0.3, 2 in increasing order.\nAnswer: -77, -5, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 180.3 + -162. Let d = -18 + l. Let h = -19\/62 - 6\/31. What is the third smallest value in -3, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*z = 90*z - 2623058. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*a = -2326 + 45490. What are the prime factors of a?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-4)*8\/(-2). Let l(w) = -w**2 + 6*w + 5. Let g be l(7). Is (-4)\/g - j\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98247 - 2653 = 1009*t for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.62 - 0.42. Let b = 580\/3 - 195. Let l = -8 - -3. Put c, l, b in ascending order.\nAnswer: l, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6244 = -5*z - 5*n + 31146, 4*z + n = 29900. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/10)\/(1*4\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177 a factor of 1641258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/15 and -59\/306?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d - 5*d + d)*(-3*d**2 - d**4 + 3*d**2) - 319*d**5 - 136*d**5 - 302*d**5 + (-18*d + 18*d + 2*d**3)*(0*d + 0*d - 2*d**2).\nAnswer: -762*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -265 = -3*p - 1039. Let q = p - -248. Let m be (-4)\/6*(-9)\/(-3). Which is the fourth biggest value?  (a) m  (b) q  (c) -0.5  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -15902, -15989, -16074, -16157?\n\"Answer: j**2 - 90*j - 15813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -75 * 0.3.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of a**3\/3 + 11*a**2\/2 + 5*a + 3. Let v be q(-10). Is (v - -18)*(4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 10*p - 5*d + 0*d = -4*p + 75, 72 = -4*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 70517288 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 AM and 6:56 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60 - -59. What is the tens digit of 469\/7*(w + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4585 times 1506\nAnswer: 6905010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5*(2 + (-12)\/5). Suppose 0 = -4*s + 8, -3 = 3*x + c*s + 2. What is the tens digit of (1 + x)*19\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*q - 1257*q + 43565 = -8223 - 52090 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1251  (b) -71.4  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) -1\/43  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssnnnswswnnnsnno. What is prob of sequence ss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1712 a factor of 965336378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2333231133 (base 4) to base 7\nAnswer: -6450231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.71, 4\/7, -0.5, 1206?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -5*y. Suppose -2*q - 5*n + 167 = y, 0*q + n - 85 = -q. Suppose 0 = 5*x - 14 - q. What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 AM and 11:59 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -11*((-3 - -2) + -1). Let l(c) = c + 2. Let f be l(1). Suppose h + 4*z - p = 0, -2*z + 6 = -f*h + h. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7903 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 117, 2\/23, -1\/5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-10)\/((-550)\/(-33)) - 7223\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jyt when three letters picked without replacement from yytyuyttjjjjy?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1100 - -20?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16182 is divided by 3756?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 1572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 24, 1, -195, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -771.2 and 52.\nAnswer: -719.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + t)*(-4*t + 2*t**2 + 4*t) + 3*t**3 + 0*t**3 + 0*t**3 + (2*t - 6 + 6)*(2*t**2 - 3*t + 3*t).\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/(1 - 1\/2))\/(-2). Find the common denominator of (-15873)\/(-5082) - (-1)\/((-14)\/d) and -35\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 6*l + 2. Calculate n(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 336, 1368, 3090, 5502, 8604, 12396?\n\"Answer: 345*a**2 - 3*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5399077 divided by -5399077?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n + 15. Let w be f(-6). What are the prime factors of (482\/(-6))\/((-1)\/w)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 14*v**3 - 167*v**2 - 19*v - 29. What is z(12)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*z + 23*z = -305. Suppose -z = -3*p + p - 5*d, -4*p + 131 = d. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/93)*v*(v*v**(-30\/11))\/v assuming v is positive.\nAnswer: v**(-1745\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + -3 - -3 - 1. List the prime factors of (-5 - x)*-15 - -1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 36\/1015 and -17\/1176647.\nAnswer: 1194296705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 divided by 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 - 20*t - 14. Let a be i(-10). Let s(g) = -g**3 - 15*g**2 - 15*g - 17. Calculate s(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 921.\nAnswer: -4, 5, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n - 7. Let h = -9 + 15. Let g be (h\/4)\/(1\/26). Let u be (-2)\/(-8) - g\/12. Calculate x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1655489355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 5. Let v = 24 - z. Let o = 3 + 4. Calculate the remainder when v is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163482?\nAnswer: 2, 3, 11, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1155.6262738 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18264 is divided by 73.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 80 = 5*o, -2*o + 0*o = -v - 31. Let t(x) = o + 3*x + 2*x + x. Is t(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 33  (c) 7\/5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6337.\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 941932528?\nAnswer: 2, 29, 103, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - (4 - 1)) + 11. Let q = -17 + k. Let p(h) = -h + 3. What is the units digit of p(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 - -0.74?\nAnswer: -66.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -8 - 4 - 4*l + 2*l. Let r be y(-8). Suppose -r*n = n + 105000. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q + 3*f = 12*q + 3, 0 = -4*q - f + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 - (7 + -14 + 25)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46*(-81939)\/(-79074) - (2\/(-6) + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 2:52 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-14) - 4\/42. What is the nearest to -11 in 5, -0.4, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -360 - -365. Let z(g) = -h*g + 37*g - 61952 + 61960. Let a(j) = -11*j - 3. Calculate -8*a(n) - 3*z(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 48*o**5 - 11448*o**4 + 214971*o**3 - 99645*o**2 - 90846*o - 13080 = 0.\nAnswer: -1\/4, 1, 20, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -4*l + 3. Let k be i(2). Suppose -11*d - 5*b + 5 = -6*d, -d + 1 = 5*b. Put 2, d, k in descending order.\nAnswer: 2, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2079346 is divided by 23103?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2501*l**2 + 643*l + 2 wrt l?\nAnswer: 5002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(17) + 4)**2)*6 + 4 + (sqrt(17) + (sqrt(17) - (sqrt(153) + -5)**2) - (4 + 4*sqrt(17))).\nAnswer: -4 + 76*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/15)\/((-5)\/(-25)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*k = -5*k - 3, 2*y + 2*k - 8 = 0. Suppose y*u + n - 114 = -3*n, 4*n = 0. What is the common denominator of (-129)\/4*(-10)\/(-75) and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 3, -1\/3, 0.\nAnswer: -1\/3, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 22 + 58 = 0. Let l = -6 + q. Suppose 5*n - 2*n - 5*u - 298 = 0, 4*n - l*u = 408. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 529993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492 is divided by 76\/190 - (-2 - 213\/5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - z**2 - 4*z + 3. Suppose -4*p - 3*h = -4, 2*h - 4*h + 2 = 3*p. Let o be ((-6)\/(-2))\/(-6)*p. Let s be (1 - -2)\/(o\/1). What is c(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 1500 = 216*l - 2678 - 358 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23*h**4 + 3*h**2*l*p - 33002*h**2*p - 832158*l*p - 2*l + 3*p + 11 wrt h.\nAnswer: -92*h**3 + 6*h*l*p - 66004*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -333 - -908. Suppose 0 = 14*x + 71 - n. What is the greatest common factor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from buubbuu. What is prob of sequence uub?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -4. Let u be (12\/(-15))\/((-12)\/(-30)). Which is the biggest value?  (a) -5  (b) u  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of -l**7\/21 + 2*l**6\/3 - 5*l**5\/2 - 65*l + 175. Let h(d) be the first derivative of v(d). Find a such that h(a) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12*((-15)\/(-12) + (-3 - -2)). Let d be 66\/(-30) - 2\/(-10). Let m be d\/4*(-1)\/((-3)\/f). Is m <= 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 6*h**2 + 0*h**3 - 9*h - 33 + 23 - h**3. Let b be p(5). Is b at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6+132986\nAnswer: 132980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -3*w + 169. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 70 - 222 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 2590*g - 396562. What is u(-145)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/176 and -81\/27680?\nAnswer: 304480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2881842 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*c - c = 54. Suppose -z - z - c*a + 344 = 0, 0 = 5*a + 10. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5409 * -6.\nAnswer: 3.2454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 13*r - 3041. What is d(49)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6431, -12858, -19285, -25712, -32139?\n\"Answer: -6427*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59197930 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*n**3 - 21 + 153*n + 21 + 25*n**3.\nAnswer: n**3 + 153*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 44405 divided by -51?\nAnswer: -44405\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 53*s**2. Let y(r) = -83*r**2 + 30*r**2 + 43*r**2 + 0*r + 0*r. Give i(y(u)).\nAnswer: 5300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -97.8 + 68.7. Round x to zero decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - i + 1. Let r be b(0). Let c = r - -2. Suppose 1 = -5*y + c*o, y + 3*o - 7 = -0. Put y, -0.1, 2\/9 in ascending order.\nAnswer: -0.1, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1 + 2*(3 + (sqrt(450) - (-5 + sqrt(450)) - sqrt(450) - sqrt(450)))**2.\nAnswer: -960*sqrt(2) + 3727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -4*r + 11, -293*r = -4*j - 288*r - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of 11*j**3\/6 + j**2 - 9*j. Let g be d(7). Suppose -2*u + 93 = -g. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 6*q + 69. Let j be f(-6). Put 1, -1, j, 6 in descending order.\nAnswer: 6, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 11:02 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 56 = -4*h, -5*h = -4*h + 2*q + 1. Let a be (-10)\/(-3) - 3\/h. Let k = a - -8. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4.118, 0.1, -3, -2, -16\/21 in ascending order.\nAnswer: -3, -2, -16\/21, 0.1, 4.118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 5 + 3)*(-2 + 4 + 1)*(9103 + 188*m - 9103).\nAnswer: -2256*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-6*(-2 + sqrt(7) + sqrt(7)) - (-2 + sqrt(35)\/sqrt(5))).\nAnswer: -70 + 65*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2538 - -2542. What is the closest to -3 in n, 3\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 365 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/4 + (-28)\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/1274 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*i - 9145 + 8823 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 39*m**2 + 3*m - 4. Let h be u(1). What is the highest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 162 = -4*x, -2*x = y - 37 - 42. Let v be (-803)\/2 - (-27)\/18. Let k = v - -680. What is the greatest common factor of x and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2439.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 42*z + 76. What is r(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 3*r = 42, -2*k - 3*r = -0*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y**3 - 3*y**2 + 6*y + 4. Let a(s) = -2*s - 1. Let l be a(-5). Let c = l + 26. What is the remainder when c is divided by t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/5  (b) -2\/11  (c) -5  (d) -1  (e) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -302467 or -302470?\nAnswer: -302467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -8 - (17 - (7 - 17)) - -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1242421187 less than -9?\nAnswer: -8.8757578813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 7817 = -352*u + 1387 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61 + -60. Let o be 19*q + (-64)\/16. Solve -z - 2*z = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q - 4*q**2 - 118*q**3 - 758 + 125*q**3 - 4*q**4 + 756 as l*q**3 + c*q**2 + j*q**4 + z*q + d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 1:15 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.05 and 132693\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5441985611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -7*o - 5. Let h(s) = -s**2 + 11*s + 13. Let m be (-9)\/(-3) + (2 - -7). Let x be h(m). Sort 7, x, o in descending order.\nAnswer: 7, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 19 + 11 - 29*t - 2 wrt t?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 64 = 5*q - 51, 5*r - 10*r - 172 = -20*q + 213 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9de222 (base 15) to base 3\nAnswer: 112012002020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 = -4*i + 179. Let r be -1 + -1*-27*3. Suppose 2*z = r + i. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*((-4)\/4)\/(-1). Sort 2, -16, a, -5 in decreasing order.\nAnswer: a, 2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-99671)\/1054 - (-6)\/93. Let m = -21 + -74. Let c = k - m. What is the third smallest value in 0.4, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 - u**2 - 2*u**2)*(3*u**3 - 3*u**3 + u**3) + 2*u**5 - u + u + (106*u**5 - 160*u**2 + 160*u**2)*(-5 + 2 - 7).\nAnswer: -1059*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1148 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**3 + c**2 - 5*c**4 + 3 - 2*c**3 - 2*c**3 + 0 + c to g*c**4 + j + w*c**2 + u*c**3 + d*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -86*i. Let z(x) = -x. Give k(z(f)).\nAnswer: 86*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25665?\nAnswer: 3, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-32)\/(-14) - (-18)\/(-63). Suppose -g - 105 = i*g. What are the prime factors of 4\/(-10) + (-1169)\/g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*w - 484 + 69 = 276 - 41 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-616)\/2079*(-4)\/(48\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/(-110) + 22\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 2 + 6. Suppose 2*w + 13 = 3*m, -z*w - 3*m + 5*m - 14 = 0. Let l be 2\/w - 2\/4. Which is the biggest value?  (a) l  (b) -0.1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 5.74. Let j = i + -0.04. Round j to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 7*p - 7. Let q(f) = -7*f + 6. Let m(d) = -6*j(d) - 7*q(d). Let v(w) = 28*w**2. What is v(m(x))?\nAnswer: 1372*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39056.09l to millilitres.\nAnswer: 39056090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 14 = -2*k, -33 = -2*c + 2*k - 7*k. Solve o = h, -c*h = -2*o - 0*h + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2091 + 45 = -3*l. Suppose z = -z + l. What is the second derivative of -5 + 5 + 320*w**3 - 23*w - z*w**3 wrt w?\nAnswer: -126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(1\/3)))**(-13)\/((f*f*f**(-11)\/f)\/f**(-1\/21)))**(-23) assuming f is positive.\nAnswer: f**(-2300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/29 - 3420\/(-1653).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -1) + -3 - (-4 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 16*g. Let j be u(16). What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101530 (base 10) in base 13?\nAnswer: -372a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -246452 take away 3171045.87?\nAnswer: -3417497.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6264865 micrograms in kilograms?\nAnswer: 0.0000000006264865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = -4*m + 4*u, -41*m - 5*u - 16 = -38*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 530.202 + -531. Let l = -3.202 + n. Put l, -0.1, -1, 5 in descending order.\nAnswer: 5, -0.1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1250, 2, 1, 3, -14 in increasing order.\nAnswer: -14, 1, 2, 3, 1250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22503*v**3 - 92*v**2 + 43*v - 2 wrt v.\nAnswer: 135018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -19493*x + 19625?\nAnswer: -19493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 202746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -y**5\/10 + 11*y**4\/12 + y**3\/2 + 96*y**2 - 155*y - 2. Differentiate s(g) with respect to g.\nAnswer: -6*g**2 + 22*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 29*f**2 - f. Let t be b(-1). Let d = -0.1 - 0.4. Let r = 121.6 + -121.2. What is the closest to 0 in r, t, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -279388 at most as big as -279387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + (sqrt(95)\/sqrt(5))**2 + -2 + (1*(-1 + sqrt(304) - (sqrt(19) - sqrt(76)\/sqrt(4)*1)))**2.\nAnswer: -8*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*q + 8*q**2 - 15*q)*(q**2 + 0*q**2 + 3 - 2*q**2).\nAnswer: -8*q**4 + 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 561257, 1122373, 1683489, 2244605, 2805721, 3366837?\nAnswer: 3927953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 f, 1 c, and 1 a when four letters picked without replacement from {h: 3, a: 3, o: 1, f: 5, c: 6, q: 1}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1266500 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-6)*27\/(-6). Suppose g = -0*g + 3. What is the smallest value in 0.2, v, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-20)\/2)\/((-11)\/22). Let q(t) = t**2 - 3. Let g be q(0). Let u be (1 - (1 + -3)) + g. Solve u*h = 5*h + c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -47\/120*h**6 + 0 + 17\/12*h**4 + 2*h**2 - 84*h + 0*h**3 + 0*h**5. Find the second derivative of v(w) wrt w.\nAnswer: -282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 z when four letters picked without replacement from zvzvvpz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 116 = 407. Suppose 2*h = p + 4*p - c, -3*p + 2*h = -59. Let n(j) = -12*j**2 - p*j**2 + 26*j**2. Let f(z) = -2*z. Calculate f(n(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**4 - 2*t**4 - 2*t**4 + (t + 0*t + 0*t)*(0*t**3 + 7*t**3 - t**3) to r*t**2 + p*t**3 + c*t + j + n*t**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 10*l + 2. Let y be o(0). Solve -5*v = 25, -5*x + y*v = -2*x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13.52501, -2\/81, 2?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*w**4 + 60*w**3 - 345*w**2 - 1940*w - 2100 = 0. Calculate w.\nAnswer: -15, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5004  (b) 2  (c) -15\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13198, -40291, -81278, -136159, -204934?\n\"Answer: -6947*g**2 - 6252*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a - 3. Let z be c(-15). Suppose 0*x + g - z = -2*x, 0 = -5*x + g + 16. Find the second derivative of -4*t - t - x*t**4 + 2*t**2 - 2*t**2 wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1431281323 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 6*t**2 + 2*t - 12. Let c = 59 - 53. Let d be s(c). Suppose d = -h - 3 + 4. Solve -2*p + 6*f + 2 = 3*f, -5*f = p - h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -43575*m**2*o**3 + 11*m**2*o - 2*m*o**2 + 1702*m*o - 2*m + 28*o**3 + 5*o wrt o?\nAnswer: -261450*m**2*o - 4*m + 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 9 - 1 - 4 - (5 + 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + 0*n - 2*n + (n - 5*n + 2*n)*(-1 + 0 + 2) - n + 3 - 3)*(-2*n + 5*n**2 + 2*n + (0 + 4 - 5)*(6*n**2 + 0*n**2 - 5*n**2) + 0*n**2 + n**2 - 2*n**2).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 1:01 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 259652.9t?\nAnswer: 259652900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o - 38. Give v(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1)\/((d\/d**(5\/2))\/d*d))**(4\/15) assuming d is positive.\nAnswer: d**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 2382?\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -3\/8, 92?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*n**2 - 12*n**2 + 12*n**2 + 11*n**2 to the form b*n**2 + s + a*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**3 + i - 4. Let y(b) be the second derivative of 3*b**5\/20 + b**3\/6 - 5*b**2\/2 + 3*b + 1. Give -5*w(z) + 4*y(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence shss when four letters picked without replacement from shshs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 3931440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 32 + 15?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v\/((((v\/((v*v\/v**(-4)*v)\/v)*v*v)\/v)\/v)\/v))\/v)\/v)\/(v*v**(-2\/5)\/v))**1*((v\/v**(5\/3))\/(v*v**(-5\/6)\/v*v))**(-21) assuming v is positive.\nAnswer: v**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 810 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3*i = 367, 0 = -2*t - 7*i + 6*i + 769. List the prime factors of t.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*(12\/9 + -2). Let x = -1 - q. Suppose -u + x = -1. Calculate the highest common factor of 18 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1252782 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4728000 rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*d + 8 = 0, 25 = 5*b - 7*d + 10*d. Suppose -4*v = 4*w - 21 - 3, 4 = 4*v - w. Calculate the highest common divisor of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5 + 1\/2*16\/(-8). Let a(o) = 5 - 2 - 6 + v - 7*o**2 + 7*o. Let l(b) = 6*b**2 - 6*b - 1. Let h be -2 + 1 + 0 + -3. What is h*a(n) - 5*l(n)?\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 131 + -82. Let f(w) = -51 + 100 - 46*w - c. Let a(j) = -2*j**2. Calculate f(a(y)).\nAnswer: 92*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1274508*c*d**4 + 4*c*d**2 + 4825578*c wrt d.\nAnswer: -5098032*c*d**3 + 8*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8059619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4*v - 112 = 0. Let s be (3*8\/(-84))\/((-4)\/v). What is the third derivative of 304*i**4 + 30*i**6 + i**s - 304*i**4 wrt i?\nAnswer: 3600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13\/15 + 2\/3. Let w = 20.75 + -2.05. Let s = w + -19.7. Which is the biggest value?  (a) k  (b) -5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w + 16. Give u(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1918d4 (base 16) in base 14?\nAnswer: 30b588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9.4 times 11515\nAnswer: -108241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k. Let n = 105 + -99. Suppose -4*m = -n*m + 4. Let p(o) = -16*o + 1. Determine m*p(l) + 11*h(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4036942426.\nAnswer: 2, 11, 19, 43, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 + y**2 + y - 1. Let l(t) = -38*t**3 + 3*t**2 + 2*t + 66. Let p(q) = -l(q) + 3*v(q). What is the first derivative of p(k) wrt k?\nAnswer: 123*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/(-25))\/(2\/5). Suppose l*q - 3*m = 22 - 1, 4*m = -4*q + 32. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b + 199998 = 0. Let w be b - (1 - 0 - 0). What is w rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1549439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20.9 - 33735.\nAnswer: -33714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 96388798313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.86 - -1.6.\nAnswer: -7.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.293447 - -0.2914. What is q rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wkkk when four letters picked without replacement from kkwkkkkkdddkkdwd.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 5921340.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 265, 300, 407, 586, 837, 1160, 1555?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of g**4\/4 - 2*g + 295. Let b(h) = 448*h. Give a(b(q)).\nAnswer: 602112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 133, -4, -5, 1, 0.\nAnswer: -5, -4, 0, 1, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110)\/(-55)*5\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -228022 * -244.7\nAnswer: 55796983.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -421*a**2 - 3380*a - 91. Give h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t - 5. Let h be c(-12). Suppose -g = -f - h + 21, -42 = -3*f + 2*g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2 + 2 - 5 + 3. Let l(p) = -p. Let q(o) = -o**2 - 6*o - 6. Let h be q(-4). Suppose -2*g - 3*g = -5*w + 15, h*w = g + 1. Calculate w*l(y) - t(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 0.4  (b) 6  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**5 - 96*i**4 + 1144*i**3 + 384*i**2 - 4608*i = 0.\nAnswer: -2, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 70933271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2575334?\nAnswer: 2, 229, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 274, 283, 296, 313, 334, 359, 388?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((1*(sqrt(833) + -1) + sqrt(833) - sqrt(833)) + -2*sqrt(833)*-5)*-3*-6 + -1)**2.\nAnswer: -49896*sqrt(17) + 32657256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 114 + -32. Suppose 236 = 6*l - f. Let t(n) = 11*n**3 + n**2 - 1. What is the remainder when l is divided by t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11629769 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 18*j**2 - 4*j + 4. Let b be g(3). Suppose 4*h = 42 + b. Calculate the smallest common multiple of h and 2368 + -2370 - (-33)\/(-12)*(-3 - (-2 - -3)).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6910 - 9859. Let h = p + 11873\/4. Find the common denominator of h and 2\/(8\/(-5)) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29489149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 373 = -5*k - 3*g, -4*k - 59 - 261 = -3*g. Let l = -7 - k. Is (3\/(-2)*l)\/(-1) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 12:03 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 7*t + 0*t - t**2 + 13*t + 13 - t. Calculate the remainder when r(17) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f**2 + 48*f - 72. Determine w(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (33\/(-6))\/((-35)\/(-42)) + 2. What is the closest to -6 in z, 0.1, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/3*4\/60.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.142?  (a) -0.037  (b) 2\/7  (c) 3  (d) 3.4  (e) -3\/7  (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 + 0)*(3 - 4 - 7)*(0 + 0 - 1)*(-2 + 4 + 3*h - h)*(-3*h + 4*h + 4*h)*(-9 + 3 - 13).\nAnswer: -4560*h**2 - 4560*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - k = -4*k - 91780, k = -4*o + 183546. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 0.3, 46, 2, -0.3, 0.157?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 922.655.\nAnswer: 3690.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from {i: 12, e: 3, v: 1}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3380747127 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t**2 - 9*t + 5. Suppose -197 + 245 = 3*a. Calculate the remainder when v(6) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0183 plus -358734384866?\nAnswer: -358734384865.9817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 39. Let v = -18407 - -18405. Which is the smallest value?  (a) n  (b) 3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ayt when three letters picked without replacement from wtaya?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (0 - -1)*9 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5 = -17. Let a be (-7)\/(147\/(-216))*7. Suppose 4*c + 0*z = -4*z + a, 5*z - 34 = -c. Solve 5*s - 2*t = -c, -s - 5*t + k = 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 146 + (-1 + (4 - 7 - (-14 + 16)) - 4)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 2 c, and 1 w when four letters picked without replacement from {c: 2, w: 3, d: 1, o: 1, j: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 75 = -4*x. Calculate the remainder when -3 + -295*-5*(-10)\/(-250) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*u - 36971 = 162500, 2*a - 398960 = -u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - r - 3*r)*(3 - 5 - 1)*(-7*r + 5*r + 48*r**2 + 10*r**2).\nAnswer: 348*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -9. Suppose -5*k - o*a = -240, -5*k + a + 224 = -40. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 833\/12 - 279\/4. Calculate the common denominator of o and 2*2\/(-64)*-93.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6211896863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (36 - 4031\/116) + (-10)\/8. Suppose 0 = -3*p + 6*p - b + 5, b = -p - 3. Let v be 9 + p\/(4 + -2). Solve u = m + 3*m - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -0.5, -9, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-4*sqrt(63)*3)\/(2*sqrt(900) + sqrt(900) + 3*sqrt(9)*-2).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5435127.068 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3, 15, 59, 153, 315, 563, 915, 1389?\n\"Answer: 3*g**3 - 2*g**2 - 3*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22578223, -22578220, -22578217, -22578214, -22578211, -22578208?\nAnswer: -22578205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 7  (b) 3  (c) -8  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/((-180)\/5))\/(-14 + 12222\/864).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**4\/24 - 5*d**3\/6 - 2*d**2. Let k be v(0). Let a(z) = z**2 + 2*z. What is the units digit of a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -715.9 and -38526475.5.\nAnswer: -38527191.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 2 + (28 - 19) - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -420 + 420.0051. What is y rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 + 3445738.323\nAnswer: 3445738.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -1. Let c = -1.11 + w. Let k = c + -0.39. Put k, -4, -1 in decreasing order.\nAnswer: k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from xdxt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*u + 5 = -0*x, u + 10 = x. Suppose 13 = x*r - l - 203, 175 = 4*r - 3*l. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, v: 10, a: 5}. Give prob of sequence hv.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*s + 5*s**2 - 10*s)*((-2*s - s + s)*(3*s**2 - 3*s**2 + 2*s**2) + 2*s - 2*s**3 - 2*s + 2*s**3 - 3*s**2 + 3*s**2 + 71865*s**2 + 262*s**3 - 71865*s**2).\nAnswer: 1290*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + 2)\/(10\/(-20)). Let z(l) = -l**3 + l. Let h be z(g). Let y = -10 - h. Is y >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 401261 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 + (-22 - 30) + 1 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50895 and 103086.\nAnswer: 194317110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 836, 1660, 2482, 3302, 4120, 4936?\n\"Answer: -h**2 + 827*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1891115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 131 and 7729.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 6*f - 2 = -2*u, -4*u + 16 = 4*f. Solve -u + 0 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 5*z - 4. Let v(r) = 6*r**2. Let x be v(-1). Let q be x\/(1 + 2) - 1. Let t be 0 - -4*q*1. Calculate h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**5\/12 + 5*z**3\/2 + 23*z**2. Differentiate j(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c + 14. Let d be x(7). Suppose d*j + 147 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 60643*g*j - 241*g + 5*j - 16805 wrt j.\nAnswer: 60643*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from okkzzky. Give prob of sequence zyk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 150220321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3666*n - 2. Let c(s) = -4*s. What is z(c(p))?\nAnswer: 14664*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 2*h**2 - 3*h + 4. Let w(o) = o**3 - 15*o**2 - 32*o - 30. Let v be w(17). Give c(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11884 times -0.1\nAnswer: -1188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -12*7\/(308\/(-627))*285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r - 3*a + 29, -5659*r + 3*a = -5658*r + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2118, -2124, -2136, -2154, -2178, -2208?\n\"Answer: -3*a**2 + 3*a - 2118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 807*k - 5553. What is the remainder when c(8) is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-26 - -5) + (-79 - -98)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268741?\nAnswer: 11, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279599.\nAnswer: 17, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -301 + -1140?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 45*y + 314. Calculate s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 679 and 147.\nAnswer: 14259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of 0*h**4 + 0*h**5 - 9*h**2 - 32 + 77\/30*h**6 + 0*h**3 + h. What is the first derivative of m(x) wrt x?\nAnswer: 308*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 3, 1, 2, -4585 in decreasing order.\nAnswer: 3, 2, 1, -2, -3, -4585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 7*h**3 - 6*h**2 + 6*h + 6. Let p(f) be the first derivative of f**4\/4 - f**3\/3 + f**2\/2 + f - 1. Let o = 2189 - 2183. Give o*p(u) - w(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26047 is divided by 13020.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -2 + (6 - 2) + 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 1. Let r = -5.4612 - -0.4612. What is the nearest to -1 in r, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321366 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t - 4. Suppose 0 = 3*v + 9, 4 = 3*a - 4*v - 8. Let p be a - 3 - 0\/(-1). What is d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-24))\/(-5*(-5)\/50)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-6)\/(m**3\/m)*((m\/(m*m*m**0))\/m*m)\/(m\/(m*m\/m**5*m)))**(-2) assuming m is positive.\nAnswer: m**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 14 + 0 + 2043*f**2 + 8 + 8*f**2.\nAnswer: 2051*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1521 (base 7) in base 9?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*p*v**3 - 6*p*v**2 + 1976*p*v - 52470*v**3 + 2 wrt v?\nAnswer: -18*p - 314820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(275)*2 - sqrt(275) - sqrt(275))**2 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 0*g = -24. Let p(a) = 7 + 2*a + g*a**3 - 9 + 3. Let c be 2\/(-7) - 5\/7. Give p(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2\/5 + 404*i\/5 + 80.\nAnswer: 4*(i + 1)*(i + 100)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000179 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6*d**3 - 8*d**2 - 1. Let v(u) = 5*u**3 + 7*u**2 - u. Let o(r) = 5*v(r) + 4*x(r). Let h be o(-4). Solve h = 6*i - 5*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4561560991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -8*p. Let w be i(-7). Let s = 55 - w. Let l(t) = 5*t + 0 - 2*t - 1. Give l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.19 or -467914?\nAnswer: -467914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3835138 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 3, -2250, 28 in descending order.\nAnswer: 28, 3, -1, -4, -2250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(567) + -2 + 6*(sqrt(7) - sqrt(28))*-1)**2.\nAnswer: -90*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 79080896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -27050?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 4 = 4*u. What are the prime factors of 1\/4*-11*52*u?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8042 less than 8042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/3459 and -22\/29.\nAnswer: 100311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b**3 + 16*b**2 - 13*b - 16. What is p(7)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1 - 1 = 0. Suppose -4*h + 4 + 16 = -4*p, -5*p = -25. Solve -2*o + 4*c = h, -2*o + n*c = 5 + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/20)\/((-66)\/825))\/((-2)\/8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a + 12. Let r = -131 - -131. Give n(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 12:40 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*b - 12 = 15*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 100600642 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2209 - -2209.4. Suppose 4 = 5*w + 4*s, 2*w - 1 = 5*s - 6. Let z = -3 - -3.1. What is the nearest to z in w, j, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41026.\nAnswer: 2, 73, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 464, 434, 406, 380?\n\"Answer: w**2 - 33*w + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 2*q - 96 - 148, 0 = 3*u - 15. What is the least common multiple of 32 and q?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10670\/(-1320))\/((-2)\/24).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1*1)\/((-1)\/6). Suppose 0 = -2*x + q*x - 32. Suppose 4*z = 8 + x. Solve 3 + 5 = z*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 7*q = -69, -1664*c + 1669*c - 12*q + 112 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, l: 9}. What is prob of picking 2 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -3, -49, -6, -51\/2311?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 483311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**4 + 0*h**4 + 3*h**4 - 3 + 3 + 2*h**4 + (0 + 0 - 2*h**3)*(2 - 2 - h) + 3*h**3 - 3*h**3 + 3*h**4 - h**2 - 3*h**4 + h**2.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 226 = 3*q + 289. Let y be (-4)\/14 + (-1)\/(q\/(-5979)). List the prime factors of (2\/5)\/((-3)\/y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -4094, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/50)\/((-16508)\/(-3507950))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {q: 1, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -1\/4, 1, 0.7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 8\/6)*(-510)\/68. What is the highest common divisor of n and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24657, -49119, -73581, -98043, -122505, -146967?\nAnswer: -171429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u**2 + u**2 + u**2)*(-2*u + 4*u + 0*u) - 2*u**2 - u**3 + 2*u**2 - 14*u**3 + 6*u**3 - 6*u**3 as i + l*u**2 + q*u + d*u**3 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8875*o - 267509 = 30436 + 483055 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -89 - -85. Let o = 2424 - 2424.2. What is the second smallest value in -1\/18, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + m = 5, -21*m + 22*m = -3*d - 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4116564 (base 7) to base 14\nAnswer: -cb4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(0 + (-3)\/21). Let s be (-5 - 0)*7\/b. Let x(q) = -4*q**2 - 2*q**3 - 4*q + 5*q**3 - 7 - 2*q**3. Give x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(28\/(-9))*37786\/10796)\/((-15)\/6)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12282 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: What is the least common multiple of 26 and 9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from bbbbbhbbbbbbbbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*g**3 + 0*g**3 - 28*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {l: 1, h: 1, j: 1, z: 1, b: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t + 4. Let z be l(-2). Let d be ((-9)\/(-12))\/(z\/16). What is the closest to 1 in d, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100303021323 (base 4) to base 15.\nAnswer: -5bec90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*f = 109, -4*f + f + 3 = 0. Suppose 0*c - 4*c + z = 0. Let i = 156 - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0  (b) -0.18  (c) -3  (d) -11.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 144111 and -3.8?\nAnswer: -547621.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -9 + 6. Which is the closest to h?  (a) -3\/7  (b) 0  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-16)\/(q\/(q\/q**(-16))))\/(q**(1\/3))**(4\/9) assuming q is positive.\nAnswer: q**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = m - 5*i, 4*m - 3*i + 61 = -10. Let d = 25 + m. What is the remainder when 15 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(108) + (sqrt(108) - sqrt(108)*1) + -1 + sqrt(108) - -5*sqrt(108)*1) + (-6*1*sqrt(108) + sqrt(108))*3)**2.\nAnswer: 288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 960*x + 40 - 22.\nAnswer: 960*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17861386 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 30*y - 120 = -29*y, -y - 95 = -4*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 770, 1587, 2468, 3413, 4422, 5495?\nAnswer: 6632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 0*h**2 - 4*h + 1 + 5\/3*h**3 + 1\/4*h**4. Suppose -5*a = 5*m, -4*m - 11 - 4 = a. Calculate j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 3:28 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**3 - 5*a**2 - 10*a - 13. Let v be r(-2). Solve 4*f = -h - 0*h + 20, -v*f - h + 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -397 - -396.8. Which is bigger: 0.09 or a?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177410 is divided by 44343?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/5 + 2972*t**2 + 27617304*t\/5 + 55175184\/5.\nAnswer: 2*(t + 2)*(t + 3714)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -64 times 1728\nAnswer: -110592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*x + 20*x + 7*x.\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1020531\/3143 - -199\/449. Let d = 326 - c. Let p = -0.2 - -1.2. What is the third biggest value in d, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000221627 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10224 and 6768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*b - 14*b - 24 = 0. Let m(g) = 10*g**2 - 149*g - 9. Let u be m(15). Let y(s) = 3*s**2. Let p be y(1). Solve 0 = -b*i + u + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 29391 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**2 + 8*z - 21. Let n(t) = 2*t**2 + 5*t - 14. Suppose 5*i = -4*j - 19, -5*i + 0*j - 5*j = 15. Let m(q) = i*n(q) + 5*k(q). Give m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -2, 5\/19, -3\/4, 809.\nAnswer: -2, -3\/4, -2\/5, 5\/19, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1320101020 (base 4) to base 5.\nAnswer: -111230431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1819 + -3635\/2. Let v = -0.2 - -0.2. What is the nearest to 1 in 1, v, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 25 - -3a35?\nAnswer: 3a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/5)\/((-6)\/270). Find the common denominator of 9 and (111\/8)\/(z\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8928, -8808, -8688, -8568, -8448?\nAnswer: -8328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 754 is divided by 206.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3591351 is divided by 387?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 70*s**2 + 266*s + 120. Let j be r(66). Suppose -2*k = -16*k + 784. Calculate the greatest common factor of j and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 53*y**2 - 110*y + 5. What is x(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 + 4*w - 14. What is the remainder when 89 is divided by i(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/7 - 53*x + 5340\/7.\nAnswer: (x - 356)*(x - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*k - 8 = -32*k. Suppose 0 = 2*x - 19 + 13. Sort 2, x, k, 4 in increasing order.\nAnswer: k, 2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*c - 35, 5*c - 11*g = -12*g + 20. Sort c, -1, -12, 0, -6.\nAnswer: -12, -6, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2448 divided by -3.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -16  (b) -1  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -39*m + 12. Let u be f(-5). Let y = u + -205. What is the closest to -2\/7 in y, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/(21\/3)*-4*(-28)\/48?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000600365183 rounded to six dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 - 117. Let u = v + 75.26. Round u to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3364172 is divided by 841040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 630343 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22031 (base 4) to base 13.\nAnswer: 3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5, 2, -13, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 45*g**2 + 143*g - 42. What is u(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 3*y + y + 27, -5*y = 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4 + (sqrt(245) - (-1 + -2*sqrt(245)) - (-1 + sqrt(245) - sqrt(245))*-1))**2.\nAnswer: 168*sqrt(5) + 2218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.08 - -3.92. Suppose -7 = -83*g - 90. Let w be -1 - (27\/(-6) + 3). Which is the third smallest value?  (a) r  (b) g  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 2*f + 218646. Let a be o(0). Suppose -4*r = 5*t + r - 364415, 0 = 3*t + 2*r - a. Round t to the nearest 1000.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1170 - 341. What are the prime factors of q?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - (15 + (-38 - -6)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/14 and 45\/1154.\nAnswer: 8078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + 3)*1*7. Let c = 12 - f. Solve 0 = -2*k + 3*k - m + 5, -c*k + 3*m = 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 62 = 253. Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -50013081451 and -3?\nAnswer: 50013081448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**2 + 3*u**2 + u**2 + (2*u - 1 + 1)*(u + 4*u - 3*u) + 13*u**2 - 39 + 39.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 14*l**3 - 35*l**2 + 35*l - 27. Let a(n) = 5*n**3 - 12*n**2 + 12*n - 9. Let w(q) = 17*a(q) - 6*g(q). What is w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s**26)*(s\/(s\/(((s*s**(-5\/3)*s)\/s)\/s)))\/s*s*s**30\/s*(s*s**(-1\/2)*s)\/s assuming s is positive.\nAnswer: s**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4124981ml to litres.\nAnswer: 0.0004124981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*i + 2*g = -34*i + 490, -118 = 3*i - 226*g - 412 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*p - 2 + 0 + 2 - 1.\nAnswer: -118*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -2  (c) -16\/7  (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3993246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, -0.1, 2, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 14*w - 70. Let x be j(5). Suppose -2*q + 12 = -x*q - 4*s, -q = 4*s. Let 3\/7*l**q + 0*l + 0 - 9\/7*l**3 + 6\/7*l**2 = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - (30\/6 + -6). Let w(v) be the third derivative of d*v**3 + 0*v - 1\/20*v**5 - 3\/8*v**4 + 0 - 18*v**2. Factor w(c).\nAnswer: -3*(c - 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + w + 11 = 5*q, 4*q - 25 = -w. Suppose -q = -5*r + 2*r. Solve -2*s = r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-56)\/8 - -9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/5 - (-40067)\/(-5). Let r = -112233\/14 - b. What is the common denominator of -35\/6 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1103 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 1741*d**3 - 2*d**2 - 4*d. Let n(z) = 1509450*z**3 - 1735*z**2 - 3470*z. Determine 3470*j(c) - 4*n(c).\nAnswer: 3470*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -368282830, -736565663, -1104848496?\nAnswer: -1473131329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {j: 4, d: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*i - 10 = -38, 3*z = 4*i + 28. Suppose 4*b - 2*b + 69 = 3*o, -z = -4*b. Let l(s) = o*s**2 - 60*s**2 + 33*s**2. Let a(u) = 60*u. Give l(a(x)).\nAnswer: -7200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 10 - 69261*a**4 + 69156*a**4 - 4*a**2 - 4*a**3 in the form h*a**2 + l*a**4 + c*a**3 + z + v*a and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2*c + c - 53 = 0, 2*s - 4*c - 44 = 0. What is the lowest common multiple of s and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 8:47 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**7)\/x)\/x*x*x\/x**(-5)*(x*x\/x**(2\/9))**(-41) assuming x is positive.\nAnswer: x**(-539\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2279259, 2279327, 2279381, 2279415, 2279423, 2279399?\n\"Answer: -a**3 - a**2 + 78*a + 2279183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-4)*(-10)\/(-15). Is 15\/49 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (0 - (63 - 59))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 2 - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 30\/293 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from mkmmkmmekke.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -95*s**7\/42 + 61*s**5\/60 - 2*s**3\/3 - 22*s**2. Find the third derivative of q(b) wrt b.\nAnswer: -11400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - 19) + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus -219?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*k + 3*k. Suppose -x + 4*p - 10 = 0, 4*x - k*p - 3*p - 4 = 0. What is the derivative of 2 - 5*s**4 + x*s**4 - 1 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (2 - (-33)\/(-9)). Is 0 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -8. Suppose -2*m - 2*m = -4*n - 8, -5 = 5*m. Let g = n - 0. Put g, c, -5 in descending order.\nAnswer: g, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w - 11. Let s be x(-7). Suppose -s*y + 7 = 2*i - 7, 3*i - 3*y - 6 = 0. Suppose 10*j - i = 6*j. Which is the closest to j?  (a) -5  (b) 0.2  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5*h - 14. Let d be q(12). Let x = -70 - d. Solve -x + 0 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/6739095 and -34\/219067?\nAnswer: 397606605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (-1*sqrt(396) + sqrt(396))*-4 + -1 + ((sqrt(396) - (sqrt(396) - (sqrt(396) + -1) - sqrt(396))) + sqrt(396))*-6)*-6)**2.\nAnswer: -54432*sqrt(11) + 4620708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 + -30. Let o be (r + 1)*14\/224. Factor -1\/8*t**3 + 0 - 3\/8*t**2 + o*t**4 + 0*t + 1\/8*t**5.\nAnswer: t**2*(t - 1)*(t + 1)*(t + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2276 - -18241?\nAnswer: 1a507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + q**2 + 230*q - 1319. Determine l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.8 + -1.8. Let o = p - -2. Put 0.2, o, -3\/4 in descending order.\nAnswer: o, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 3*w + 4*f - 13518, -2*w = 3*f - 9011. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - 94 + 20*n + 0*n**2 + 96. Let d be v(-20). Let p(h) = -9*h + 2. Let q(z) = 26*z - 5. Let w(t) = -11*p(t) - 4*q(t). Give w(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62473719 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4 = 2. Suppose -5*b = l + 13. Let d(q) = -q**3 - q**2 + 5*q + 2. Let a be d(b). Solve -3*t + 0*n = -3*n, -a*t = 2*n - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 16*w**2 + 4*w. Let y(v) = -32*v**2 - 7*v. Determine 7*s(l) + 4*y(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 412 = 14*f - 10*f, 0 = 3*f + 6. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102670*r**2 - 6560333 + 6560333.\nAnswer: -102670*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (119\/(-21))\/(-95*(-2)\/30 + -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 9. Suppose s*w - 8 = -w. Suppose 4*x - 10 = w*x. What is the nearest to 0.3 in 0.4, -2, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (171\/(-76))\/(42\/56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -1. Suppose 135 = z*i + 3*n, -i - 10 = -2*i + 4*n. What is the highest common factor of i and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/458 in -5, 5\/6, -0.403?\nAnswer: -0.403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009235 to five decimal places.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zpprh. Give prob of sequence pr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/5 + 37540*d**4 - 1501466*d**3\/5 - 563176*d**2\/5 + 11636296*d\/5 + 10510304\/5 = 0.\nAnswer: -2, -1, 4, 7, 93842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*f = 149*f + 182 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-3 - (-2 + 5)) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -1686\/2849 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 44694 greater than or equal to 44694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x - 8113 + 8833 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1158664 and 41028.\nAnswer: 914185896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9480 and 80?\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -500\/3?  (a) 2\/3  (b) 3  (c) 0.01  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -0.4  (c) -3\/17  (d) -2\/13  (e) 2  (f) 13.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53)\/(-2862)*63*144\/3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8457 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 11*c**2 + 9*c + 8. Let k be n(10). Calculate the remainder when 18 is divided by (-192)\/(-20) - k\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/((-1190)\/56))\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 160\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -82.5 - -515.5. Let n = c - 428. Sort 11\/3, 4\/5, n in decreasing order.\nAnswer: n, 11\/3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + n + 2*n)*(3 - 1 - 18).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (38 - -1)\/(-4 - -5). Suppose -2*x = -8, f - 19 - 2 = -2*x. What is the greatest common divisor of y and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 137*l**2 - 1. Let a be h(1). Suppose y - a + 45 = 0. Calculate the remainder when y is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12255?\nAnswer: 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/5 - (-4)\/20. Let m = q - -6. Calculate the remainder when m is divided by 5\/(15\/(-12))*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 9:15 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/8?  (a) 5\/4  (b) 4\/893  (c) 5  (d) 1\/5  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - n**2 + 6*n**3 + 2 - 12*n**3 to the form u*n + m*n**2 + x*n**3 + j and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/804 and -1\/36.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.278  (b) -3\/7  (c) 50020  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + 1. Find the third derivative of 5*p**j + 35*p**2 - 5*p**5 + 4*p**5 - 38*p**2 wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -2  (c) 68  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1043300 rounded to the nearest 10000?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (197*i**3 + 1259*i**2 - 1259*i**2)*(4*i**2 - 3*i**2 + 4*i**2).\nAnswer: 985*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 8 + 6831661*u.\nAnswer: 6831661*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of 12265*o**4\/24 + 35*o**3\/2 + 78*o**2. Let l be x(-17). Round l to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 3:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -59, -119, -179, -239, -299?\n\"Answer: -60*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20766238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence khhx when four letters picked without replacement from {x: 3, k: 7, n: 5, h: 2, s: 1}?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f + 6*f + 0*f - 4*f + 5*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*5\/(-30)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -9817000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*q**3 - 102*q**5 + 20*q**2 + 0*q**3 + 46*q**5 wrt q.\nAnswer: -3360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.142*-7\nAnswer: 0.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 106*v. Let q(w) = 91*w. What is j(q(p))?\nAnswer: -8281*p**2 + 9646*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12\/((-6)\/(-2)) - -134?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*o - 19*o + 6 = 2, o + 200 = -18*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (963 - 965 + 24*m - 18*m**2 + 22*m**2)*(6*m**2 - 3*m**2 - 4*m**2) to the form i*m**3 + k*m + l*m**4 + d + c*m**2 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 4:24 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s - 17. What is b(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 4 = -0*w + 2*w - 0, -138*w + 71 = -3*a - 34 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 8*i - 1. Let g be o(7). Let y be g\/3 - 2\/1. Let d(t) = -t**3 + t + 5. Let f be d(y). Solve 5*r - 15 - 15 = f*v, 4*r + 21 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1233*n**2*v + 355*n*v - 4709198*v wrt n?\nAnswer: -2466*n*v + 355*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c - 5. Let h be -1*(-13 - 3)\/2. What is the tens digit of x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -4*j**3\/5 - 87728*j**2\/5 - 22968076*j\/5 - 22880352\/5 = 0.\nAnswer: -21667, -264, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 3*m. Let s = -3 + 7. Suppose m = f - 1 - s. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (2 - (-10)\/(-8)). Let k = 55\/8 - 43\/8. Sort k, 5, -2\/7, q in decreasing order.\nAnswer: 5, k, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2574521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 6:05 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19985 and 1847185?\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**2 - 13*j - 18. Let y be h(-4). Solve y*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (0 - (3 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 128921363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + f = 18*c + 45, -177*c = -180*c + 4*f - 93 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0098031 and -159937948?\nAnswer: 159937947.9901969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {w: 1, p: 1, n: 4, l: 2, z: 5, s: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2019735527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2717926 is divided by 277.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2973*r**2 + 677*r**3 + 2973*r**2)*(-3*r**2 + 2*r**2 - r**2).\nAnswer: -1354*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddxx when four letters picked without replacement from {d: 7, x: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (14*13\/2912)\/(5\/((-60)\/2))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 99581 or 99579?\nAnswer: 99579","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19622.\nAnswer: 2, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1011?  (a) 32.3  (b) 2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4\/8 + 2*r**3 + 12*r**2 + 32*r + 32.\nAnswer: (r + 4)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2895.697 rounded to the nearest integer?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 3*f = 51, -4*f - 15 = 4*b - 91 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k**2. Let y(w) = w**3 - w**2. Let t(a) = 10*a - 8. Let p be t(-6). Let c = p + 72. Calculate c*y(x) - l(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -93, 4, -18, 18 in descending order.\nAnswer: 18, 4, -18, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 331*c**2 - 21*c + 45. List the prime factors of j(2).\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/5)\/((-6)\/(-15)). Suppose 6*n - 99 + 27 = 30*n. Which is the nearest to 0.2?  (a) p  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95472 divided by 54.\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 9*k**2 + 11*k - 12. Let h = -3 + 3. Let p = 33 - h. Calculate the remainder when p is divided by b(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of -3*m**2 + 0*m**5 + 0*m + 0 - 1\/70*m**7 + 0*m**6 + 0*m**4 - 5\/3*m**3. Find the first derivative of f(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -4*w**2 + 15*w + 7. Let k be o(4). Solve -k*d = -5*n - 3, -5 = -2*n - 36*d + 31*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-180)\/27)\/4*(-9)\/25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*(s*s**3*s)\/s*s\/s**6)**(1\/39))**(1\/6))**(1\/62) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 528578, 1057164, 1585748, 2114330, 2642910?\nAnswer: 3171488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 207450 - -0.46.\nAnswer: 207450.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1046)\/(-3661)*(-2)\/2*1*-18?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -202, -631, -1258, -2017, -2842?\n\"Answer: 11*x**3 - 165*x**2 - 11*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4808 - 4808.5. Put m, -3\/4, -14.05 in decreasing order.\nAnswer: m, -3\/4, -14.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37.778*-1.49.\nAnswer: -56.28922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 - 111. Let s = 129 + g. What is the highest common divisor of 96 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 = -13*k - 36 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2. Let u be z(-2). What is the units digit of (-29)\/(u + (-156)\/(-20) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 7:41 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-98800)\/(-665))\/(-104))\/1?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3608 divided by -101?\nAnswer: 3608\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + n - 30 = 0. What is the smallest common multiple of 10*(-8)\/(-30)*n and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -56580\/29, 0.2, 4 in ascending order.\nAnswer: -56580\/29, -1\/7, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -2*u**7\/15 + 8*u**6\/15 + u**5\/5 - 8*u**4\/3 + 8*u**3\/3 - 44*u**2. Solve i(j) = 0 for j.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 20 = h, 4*h + 30 = 6*x - 3*x. Let l be ((-10)\/(-25))\/(2\/x). Solve 0*b - 10 = -l*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**2 + 6. Let t(h) = 959*h - 465*h - 475*h. Determine o(t(z)).\nAnswer: -722*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from {h: 1, g: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.372  (b) 0.2  (c) -0.5  (d) 0.3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 322386*r**4 - 190660*r**2 - 2*r wrt r.\nAnswer: 7737264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 4 + 4 + 10*d + 3 - d**2. Let l be z(11). Suppose -2*b + 90 = -l*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 329 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 121043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -121158\/263 or -462?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -59. Suppose 2*d = 4*d - p. Suppose -3*i = 4*a - 156, -79 - d = -2*i - 2*a. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -7*z**2 + 113*z - 12. Let b be w(16). Suppose -23484993 = -b*x + 4075007. What is x rounded to the nearest 100000?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93353646 is divided by 5389.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -2. Let s(a) = -7 + a - n*a + 5*a + 2. Let v be s(5). Solve -2*f - 1 + 9 = v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11332965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 8 = 0, 0*w + 2*g = 4*w - 48. Solve 0 = -d - d - w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = m + 2, 0 = 5*x + m + 42. What is the common denominator of -11\/10 and (-189)\/360*x\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 3, -1\/2, -29 in decreasing order.\nAnswer: 3, -0.3, -1\/2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/10)\/((-20)\/1950) - 1. Suppose f - 30 = -5*j, 5*f = z*j - 115*j + 20. Which is greater: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 314 (base 5) to base 16.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2 + sqrt(133)\/sqrt(7) - 4*(-2 + sqrt(19) + sqrt(19))))**2 - (sqrt(57)\/(sqrt(3) - sqrt(12)*3) - ((-1 + sqrt(1216))*-2)**2).\nAnswer: -15439*sqrt(19)\/5 + 39680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (24 - 47) + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-34450)\/40 + (-2)\/8. Let i = -885 - c. Find the common denominator of i and 41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 12:18 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -13. Suppose -f*h + 48 + 12 = 0. Suppose -14117 = h*z - 52451. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -320 (base 7) in base 4?\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007078633 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 8013*d + 1 - 2*d**4 + 10*d**2 + 8012*d in the form s*d + t*d**2 + i + x*d**4 + p*d**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of 1 - 3*l + 1\/2*l**2. Calculate z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/25 + 4)\/(15\/(-400)). Let u be ((-15)\/(-10))\/(12\/c*1). Suppose 0 = 3*k - 0 + 12. Sort u, 3, k in descending order.\nAnswer: 3, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**3 + m - 1. Let w be 0 - (1 + -3 - -1). Let j be v(w). Suppose -j*s + 3*s - 23 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -83.1 + 83. What is the closest to 0.2 in -3\/2, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/10)\/(((-297)\/(-12))\/3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-96)\/12*(-1)\/2. Suppose q*d = 2*d. Solve d = -b + 2 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fszfvfzxzxmmzsmsf. What is prob of sequence mzx?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/8)\/(2 + (-5)\/2). Let f = 26 - 26.09. Let y = -0.59 - f. Which is the nearest to 1\/2?  (a) -2  (b) s  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 238362 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -144 + 226. Suppose -k = -l - i, -85 = 2*k - 3*k - 2*l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5.221 at least as big as -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h**4 - h**3 - 25*h + 4. Let u(i) = -i**5 + 5*i**4 - 25*i + 5. Let p(c) = 5*s(c) - 4*u(c). Find the second derivative of p(f) wrt f.\nAnswer: 80*f**3 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 712294361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (8*(-10)\/60)\/(2\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16\/1745097 or -1?\nAnswer: 16\/1745097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -563606, 110 in decreasing order.\nAnswer: 110, 3, -2, -563606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1424 - -9970\/7. Put 1, -1, 0.05, r in descending order.\nAnswer: 1, r, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 41307609852*q**3\/7 - 126351252*q**2 + 118772*q\/7 - 4\/7 = 0.\nAnswer: 1\/14823, 1\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 - 22. Let b be -114*((-49)\/(-21) - 2). Let c = b - -150. What is the greatest common factor of c and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7.1 + -13.3. Let g = -5 - y. Let v = g + -1.1999993. Round v to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 1\/8, 3\/4, 107000, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1183, 1367, 1551?\n\"Answer: 184*h + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 30 + 2*w - 31*w + 4 - w**2. What is the units digit of b(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4532 is divided by 200?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -3*h + 180, 4*j - 15 = -j. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -75 - -75.026. Let b = p - -0.251. Let c = 0.077 - b. Put -2, c, 0.5 in descending order.\nAnswer: 0.5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.21 + 1.21. Put 1\/5, -1\/5, b in descending order.\nAnswer: b, 1\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**5 + 2*y**5 + 0*y**5 + (-y**4 + y**4 - 2*y**4)*(4*y + 2*y - 3*y) + 15*y**5 + 78*y**5 - 10*y**5.\nAnswer: 79*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 16*i**5 + 699268*i**4 + 6466724*i**3 - 5942668*i**2 - 6466740*i + 5243400 = 0?\nAnswer: -43695, -10, -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 60039 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13.94 - -14. Let x = 28.2 - 28. Which is the second smallest value?  (a) x  (b) r  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127397393 is divided by 2043.\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23224940 and 3140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*z + 15*z + 417 + 618 = 0 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27632 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 456223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 1 = z - 3*k, 3*k + 25 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - -1)*9\/17118. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8\/39 - -5\/39. Let r = 0.31 - 0.01. Let m = r + 0. Put -2\/11, u, m in ascending order.\nAnswer: -2\/11, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 9*d**3 - d**2 + 4. Let h be c(2). Let z = 34 + h. Suppose z = 2*s - 4*b, -4*s + 4*b = -s - 153. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*x**5 - 2*x**5 + 0*x**5 + (x**2 - x + x)*(-x**3 - 5*x**3 + 4*x**3) - 2*x**5 + 2*x**3 - 2*x**3 - 4*x + 2*x**5 + 4*x.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101111 - -1111?\nAnswer: 10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*j - 0 - 0. Solve 3*u - 2*i = -3, -3*i - 2 = -j*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5502 (base 6) in base 8?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 37*s**2 + 38*s + 53. What is the remainder when w(38) is divided by (-2)\/(2*4) + 924\/48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 8973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.037 in -0.2, 3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 117 + 3*c - 62 + 4*c - 66 - 3*c to the form q*c + r and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.73519 take away -87277122?\nAnswer: 87277121.26481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -27841 + -215?\nAnswer: -28156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 491*z**2 + z. Let t(x) be the second derivative of x**3\/3 - 518*x. Calculate p(t(y)).\nAnswer: 1964*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -5*k + 8. Let c(j) = -2*j + 3. Let x(n) = -8*c(n) + 3*z(n). Let d(u) = 3*u**2. Determine x(d(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 3  (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6101, -31599, -74095, -133589, -210081, -303571?\n\"Answer: -8499*b**2 - b + 2399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 5:48 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**2 - 27*d\/2 - 9 = 0.\nAnswer: -6, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-6)*2\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of -5*c**2\/2 + 8*c - 2. Let z(l) = -11*l + 16. Let h(q) = 13*x(q) - 6*z(q). Let p be h(-6). Is 2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.066 and 0.051?\nAnswer: 0.003366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -35.1237 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/61, 2\/31, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 3*x + 2*x)*(4 - 3 + 3)*(1 - 2 - 5)*(0*x**4 + 3*x**4 + x**4).\nAnswer: -384*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 40 + 30. Find the common denominator of w and 1 - 2\/(32\/(-94)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.3, -1\/9.\nAnswer: -0.3, -1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -200 - -10?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1800\/(-21))\/((-3)\/56). Calculate the highest common divisor of n and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132127969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sjsj when four letters picked without replacement from sssjjjssssss?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**5 + 756*c**4 - 12416*c**3 - 529380*c**2 + 13549950*c - 82026000 = 0. What is c?\nAnswer: -392, -31, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20\/2787 + -18560\/2787. Find the common denominator of w and 4\/2 - (-199)\/(-85).\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -4*c - 5. Let m = 79 - 89. Determine h(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + -0.24. Let g = i + -0.05. What is g rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.188, 3 in increasing order.\nAnswer: 0, 0.188, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (4 - 6) - (-8 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -1 - (-6 + (8 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 349.5267 weeks in days?\nAnswer: 2446.6869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d + 1. Let g = 10221 + -10220. Let j(p) = -p - 2*p + 0*p + 7. What is g*j(r) - 6*z(r)?\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -7. Suppose m + 3*m = 12. Calculate the remainder when 1*r + 4 + -2 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i + 22. Let c be x(5). Suppose -844 = -11*f + c*f. What are the prime factors of f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(99))*2*-1*6)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13c7 (base 15) to base 3.\nAnswer: 12210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1811144080 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*n**3 - 10*n**3 + 81*n**4 - 77*n**4.\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oclgologogoq. Give prob of picking 3 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**3\/3 + 77*l**2\/3 + 1460*l\/3 + 868 = 0.\nAnswer: -14, -2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 16*o - 2*o**3 - o - 10 - 16*o - 8*o**2 + o**3. Give v(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 9*c**2 + 210*c + 101. Determine h(-23).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23599022?\nAnswer: 2, 661, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 48*l**5 - 22680*l**4 + 2774019*l**3 - 22497201*l**2 + 62672016*l - 58614336 = 0. Calculate l.\nAnswer: 11\/4, 3, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**3 - 42839*t + 42839*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of 2*x**3\/3 + 1. Let b(q) = 523 + 524 - 34*q - 1047 + 36*q. Determine m(b(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14242210 - -11?\nAnswer: 14242221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 119?  (a) 0.13  (b) 40  (c) -0.1  (d) 2  (e) 0  (f) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 2*w - 4. Let n be c(3). Let y = 14 - n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7113, -15289, -23477, -31677, -39889, -48113?\n\"Answer: -6*s**2 - 8158*s + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + -1 - -9) + -10 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 95.55353 meters?\nAnswer: 0.09555353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 13*b + 10 = 0. Let w(d) = -4*d**2 + 4*d + 13. Let h(l) = 3*l**2 - 3*l - 9. Calculate b*w(m) + 7*h(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 10587 (base 15) to base 9\nAnswer: 78141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-2) + (-32)\/16. Let v(d) be the first derivative of d + 1\/2*d**o + 3 - 1\/3*d**3 - 1\/2*d**4. What is v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 165186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 125161547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1148 divided by 2\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*22*(-47)\/4653\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2231 + -13124?\nAnswer: -10453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.9355495 micrometers?\nAnswer: 0.0000009355495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112789 = 635*o - 913*o - 1753*o - 35611 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136 divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -7  (c) 0  (d) 1\/4  (e) -47.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122, -151, -180, -209, -238, -267?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 42 + (-76 - (-83 + 99))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -82 (base 9) in base 4?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 17 = 4*f - 0, m = -1. Let x be 8\/(-1)*(22 + -42). Let d = x + -137. Sort d, 1, f, 0 in descending order.\nAnswer: d, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-17)\/(p*p**(-34)) assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53314 - 240*l - 53314.\nAnswer: -240*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17364 by 6.\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 132a + -11653?\nAnswer: -10325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -66 (base 10) to base 14.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15382014 is divided by 854555.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (14\/6)\/(13635\/(-621) + 35) and 47\/150.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30.9 <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 2.84. Let f = -4.07 - -3.8. Let y = f + p. What is y rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9 + -1347?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 418348 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 127125 and 449175?\nAnswer: 6737625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -37, -123, -249, -403, -573, -747, -913, -1059?\n\"Answer: 2*a**3 - 32*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ymmmccymmccccmcm.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -5*c - 35, -f + 4*c - 17 = -6*f. Solve -5*p = -5*w - 15, 2*p - 10 - 5 = f*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000143681712 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 8681957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4877 is divided by 122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 1. Let j(y) = -5*y - 5. Let c be (-1)\/(-8)*4*-2. Suppose -2*i + 0 = 6. Let x(r) = c*j(r) + i*u(r). Differentiate x(o) with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 14631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2308 + 11543\/5. Which is the nearest to -1?  (a) -1  (b) i  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1656 - 1656 - 6*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + 7)\/((12 + -6)\/(-12)). Let u be (1 + w\/8)\/(1\/(-324)). Let v = u + 427. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 297 + -280. Calculate the remainder when 131 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3*w + 5. Suppose 2*g + 3*g = -35. Let j be 16\/(-6)*9\/6. Let c(l) be the first derivative of l**2 - 3*l + 2. Give g*c(b) + j*t(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (8 - 11) + (-6 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 1, -1, -0.4 in decreasing order.\nAnswer: 16, 1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -5*v + 4. Let x = v + 0. Suppose 4*q - 2 - 7 = 5*i, 1 = -2*q - 3*i. Is q greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.62 times -4?\nAnswer: -58.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - -3. Let l = 246 + -176. Calculate the remainder when l is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.77 + 12.77. Let h = 63 + -42. Let x = h - -1. Sort 1\/2, x, f in decreasing order.\nAnswer: x, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 324*r - 3303. Calculate g(10).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -960, -1695, -2430, -3165, -3900, -4635?\n\"Answer: -735*w - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.85 + -6.85. Let p(w) = w**2 - 2*w - 10. Let f be p(5). Let i = 0.2 - -0.1. What is the nearest to i in f, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r - 312 = -o - 2*o, r - 3*o - 21 = 24 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 + -91. Let s = t - -32. Is 36 a factor of s\/(-2 + 3) + 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 - 0.2. Let v = 50 + -27. Let w = 22 - v. What is the third smallest value in w, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1669.1 + 1669. Sort -11, g, 5, 0.11 in decreasing order.\nAnswer: 5, 0.11, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1899 is divided by 510?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 45*t**5 + 93*t**4 + 6*t**3 = 0?\nAnswer: -2, -1\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 6*a. Solve a = 3*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s - 2*s + 45251*s**2 - 6*s**3 + 2 + 3*s - 45366*s**2 as k*s + z*s**3 + m*s**2 + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 280, 282, 284, 286, 288, 290?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/14 and 137\/432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 37300 - -595413.\nAnswer: 632713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -13*n**2 + 479*n - 2675. What is h(30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjabjpjpacjjjbkpjccj. What is prob of sequence kacp?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47944, 47869, 47736, 47539, 47272, 46929?\nAnswer: 46504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 201 and 2452803?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7\/9 + 8\/9. Let j be 21157*(-2 + 4)\/(-12). Let s = j + 3518. Calculate the common denominator of s and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -233 - -125. Let r be (-1)\/4 - 39\/g. Let h(d) = 8*d + 40. Let a be h(-5). What is the third smallest value in -1\/7, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5.38 in -14, 3, 1\/9, -3, 0.3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 2:11 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -23*z**3 + 93*z**2 - 19*z + 28. Let s(c) = -8*c**3 + 31*c**2 - 7*c + 9. Let f(m) = -3*p(m) + 8*s(m). What is the second derivative of f(u) wrt u?\nAnswer: 30*u - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b + 17. Suppose -q = -7*q - 30. Let f be l(q). Suppose n = -5, y + f = -2*n - 8. What is the third smallest value in 2\/13, y, 2\/5, -4\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 699\/91 + -725\/91. Let c = 99\/35 - 17\/7. What is the closest to 5 in 4, a, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -227*f + 232*f - 2*q - 19, 2*f - 5*q = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + 5)*12\/28. Let r(g) = -5*g - 3. Let h be r(-2). Solve 5*v + i = -h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4741737 and 45045.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00029901634 rounded to seven dps?\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t + 14*t - 21 = 0. Suppose 4*q - 77 = -t. What is the greatest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 597*s**2 - 2. Let z(y) = 595*y**2 - 3. What is -5*v(i) + 4*z(i)?\nAnswer: -605*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/((q*q**0)\/q))\/q*q**(5\/2)*q**(-14)*q**(3\/10)*q)**(-1\/12) assuming q is positive.\nAnswer: q**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 148*l - 75*l - 292. Solve -l*s + 3*x = -6*s, 0 = -5*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {o: 2, f: 2, r: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -99 - -3?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of i**7\/1365 - i**6\/390 - i**5\/130 + i**2 + 81. Factor t(q).\nAnswer: 2*q**2*(q - 3)*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = i + 4*k - 0*k, -4*i - 5*k = -43. Calculate the remainder when 904\/28 + 2\/(-7) is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + p - 3)*(2 - 4 + 5) + 18*p + 2*p - 10*p in the form k + b*p and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 3*k - 31 + 21, -3*n = -2*k - 5. Suppose -20 = -2*y + 2*r, 28 + 2 = n*y - r. Solve -y*h = -7*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 46*s**2 - 91*s + 8. Let h(p) = 10388*p**2 - 10341*p**2 + 6 - 19*p - 71*p. Let y(g) = -4*h(g) + 3*l(g). Find the second derivative of y(f) wrt f.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5047, -41019, -138647, -328759, -642183, -1109747?\nAnswer: -1762279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -11*f**2 + 8*f**2 + 8*f**2. Let j(q) = q**2 - 10*q + 11. Let i be j(9). Let r(w) = 7*w - 7*w - 4*w**i. What is x(r(y))?\nAnswer: 80*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3791396 = -81*q + 349*q. What is the highest common divisor of q and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1508, 6031, 13576, 24149, 37756, 54403, 74096, 96841?\n\"Answer: o**3 + 1505*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3131351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/4 of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2220 (base 4) to base 8\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 3*f - 17 + 92, 0 = -2*r + 3*f + 40. Suppose r*n - 535 = 431. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 534165.6 decades?\nAnswer: 53416.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7711429866?\nAnswer: 2, 3, 7, 107, 547, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 919.6472 and 2.\nAnswer: 1839.2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m + 242. Let l(r) = -4*r + 240. Give 2*l(h) - 3*o(h).\nAnswer: h - 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 5*c - 21, 2*j + c - 2*c - 3 = 0. Which is greater: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -93?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t - 38 = 5*t - 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 40 + 11*l - 40 - 4*l - 3*l + 5*l - l + 0*l + 3*l + (-l + 1 - 1)*(-2 + 4 - 1) - 3*l + 2*l + 3*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 + -38. Let c = -0.2 + 1.2. Let m = c + p. What is the second biggest value in m, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 257230 and 10092.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-504)\/(-30))\/(-6)*(-320)\/224 + -30\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - (-1)\/(-1) - 1\/1. Let v be f - (-3 + (2 - 2)). Suppose 5*g - 293 = -3*x, -5*x - 5*g = -v*x - 192. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**2 + 11. Let i be r(8). Is 29 a factor of (4\/(-7))\/((-2)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -24*q. Let w(u) = 8*u**2. Determine w(y(g)).\nAnswer: 4608*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 1392*l**3 + 118004*l**2 - 363732*l - 8424 = 0. Calculate l.\nAnswer: -351\/4, -2\/87, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 8:47 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(32) - sqrt(8))\/(sqrt(40)\/sqrt(90)) + 3 + (-2*sqrt(162)*4 - 3*sqrt(72)).\nAnswer: -69*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(12)\/(2*sqrt(6)) + 3 - (sqrt(400) - 5*(-1*sqrt(400) + sqrt(400)))\/sqrt(8).\nAnswer: -9*sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f**3 + 7*f - 2. Let p(a) = 3*a**3 + 8*a - 2. Calculate 4*p(r) - 5*t(r).\nAnswer: -3*r**3 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) 9  (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.276 * -4\nAnswer: 1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 17532024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 + 145?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 45 and -0.01?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -7*n + 11. Let a(t) = 7*t - 27. Let h(s) = -6*s + 28. Let p(k) = -6*a(k) - 5*h(k). Let u(b) = 7*c(b) - 4*p(b). Give u(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5164 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dhh when three letters picked without replacement from {h: 1, q: 1, n: 1, l: 2, d: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1705)\/44)\/5 - -3) + (-1)\/(-4).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.048 - -5.652. Let t = 1.7 - n. Which is the closest to -0.1?  (a) 2  (b) t  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of 4*q**2 + 0*q + 0*q**3 + 0*q**4 + 0 - 1\/30*q**5. Let p(o) = -2*o**2. Determine k(p(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 + 148 = 2*g. What is the greatest common divisor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 473 - 478. Suppose 2*c = -2*z - 16, 2*c = 3*z - 0*c + 4. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adswaassswaxdatsa. What is prob of picking 1 w, 1 x, and 1 d?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-96 + 60 - 164)*(-2*h**2 + h**2 - h**2) + (3 - 2 + 0)*(-2*h**2 - 4 + 4) + h**2 + 3*h - 3*h in the form x*h + o*h**2 + m and give o.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.6  (b) -109  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.493934ug?\nAnswer: 0.000000000493934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 2589351432.\nAnswer: 2589351431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*1*(7 + -6) - 19. Let h(t) = t**2 + 20*t + 28. Let n be h(u). Let i = n + -48. Solve -i = -b - 0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -131463.461423983.\nAnswer: -131462.961423983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 94.999745 + -95. What is o rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*b**2 - 2*b**3 + 45*b - 24*b**2 - 20*b**2 as j*b**2 + h*b + y*b**3 + a and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (1 - 3 - (2 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2523203 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 + 8*b**2 + b + 1. Let p be y(4). Let k(i) be the first derivative of -1\/12*i**3 + 1\/4*i + p + 0*i**2. Factor k(t).\nAnswer: -(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80563814 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1031 + 2475. Is z a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 127*s - 137. Give r(6).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6650 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7451 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.77270006 to 2 decimal places.\nAnswer: 15.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 126*w = -129*w + 1, -d = w - 1. Solve 5*f - 2*b = -14, d*b - 16 = 2*f - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -2 - (-13 - -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 + 7*z - 9. Let k(a) = 3*a**2 - 21*a + 26. Let p(n) = 8*b(n) + 3*k(n). Let w = 12 + -3. Is p(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44*((-12)\/(-15))\/((-5144)\/3215)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16059 rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = p + 3*l - 9, 8 = -2*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-4*(sqrt(49) + (sqrt(294)*2)\/sqrt(6))\/(-2*(sqrt(7) + sqrt(21)\/sqrt(3)) - sqrt(7)))**2)*-2.\nAnswer: -1866\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -746, -1031, -1334, -1649, -1970, -2291, -2606, -2909?\n\"Answer: r**3 - 15*r**2 - 247*r - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -11 + 3. Let f be (-8)\/(-6)*6\/(-4) + d. Suppose 5*o - 15 = -f. Solve -o*c + 3*p = -c, 0 = 3*c - p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - r = 80, 0*f = -3*f + 2*r + 79. Suppose f*l - 37*l = -9750. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((-148)\/24 + -8 + (-49)\/(-6)). Let r = -0.023 + 80.023. Sort r, w, -2\/7.\nAnswer: -2\/7, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2228561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(1300))**2 + -1 + sqrt(1300) + 1 + sqrt(1300) + -5 + -4*4*(sqrt(1300)*6 - sqrt(1300))**2)*-1.\nAnswer: -20*sqrt(13) + 508305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z - 14*z + 19*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8 - ((-18)\/(-3) + -3). Suppose 3*p + 2*j = -0 + l, -2*p + 15 = -j. Solve -4*d - p = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 145\/288 - 9\/32. Let b = -2209 - -2209.2. What is the closest to b in 0.08, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/15)\/(6\/15). Let i be 2 + (-13 - -3) + r. What is the units digit of 0 + 1 - (-7 - i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1101 - 91 = 5*x - 106*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40)\/350*(-10)\/(-4). Sort m, -1\/4, 7, 1 in ascending order.\nAnswer: m, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5022 - 220?\nAnswer: -5242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 5:12 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 5 + sqrt(38)\/(sqrt(2)*-2))**2.\nAnswer: -6*sqrt(19) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 403524 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 8*r**2 + 4*r + 102. Let g be x(-6). Solve 6*j - g = 4*j - z, 6 = 2*j - 3*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/2  (b) 21.83  (c) 0.2  (d) 0.3  (e) 0.5  (f) 2  (g) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 - 3*c + 7. Let g(p) = -p**2 + 2*p - 1. What is g(b) + u(b)?\nAnswer: -2*b**2 - b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 148*g - 195. What are the prime factors of c(13)?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0\/2)\/(-4 + 8\/4). Suppose -x - 4*x - 4680 = v. Let f = 546 + x. Round f to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 6*n - 3*n + (-5*n + 4*n - 6*n)*(0 + 0 + 1))*(-6*n**2 - 5*n**2 - 6*n**2).\nAnswer: 85*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2019 - 957. What is the highest common divisor of 486 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*a**2 - 27*a + 4*a**2 + 27*a + 4.\nAnswer: -9*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/(-6) - (-33 + 31). What is the closest to w in -0.4, 3\/4, 1.14, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of j**5\/20 + 7*j**4\/12 - 7*j**3\/6 + 9*j**2\/2 - 2*j. Let g be n(-8). Suppose a - g = 3, 2*c - 3*a = 62. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1435202 (base 6) to base 14.\nAnswer: 22266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -10*n**2 + 3. Let c(t) = 2*t**2 - 1. Let y be 2\/(-7) + 1\/(-28)*76. Let b(f) = y*c(f) - k(f). Let o(i) = 5*i - 9 + 9. Calculate o(b(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6259 + -18459. What is r rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/17, 1, -5, -45, 16\/103, 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18767 and 5?\nAnswer: 93835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 91 + -91. Let u(p) be the first derivative of -1\/3*p**3 + 1\/2*p**4 + m*p + 12 + 1\/5*p**5 - p**2. Factor u(b).\nAnswer: b*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 - -16. Let g be 0\/(u + 2 + 2). Solve 4*r = 0, 3*r + g*r = 3*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16284 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25260 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6838 + -2895. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102732 divided by -46?\nAnswer: -51366\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 1195 - 6259. Let w = -819 + l. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 0. Let n = m + -2.6. Let k = -1945 - -1940. What is the nearest to -4 in k, n, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v - 5. Let c be h(-3). What is the remainder when 41 is divided by (13\/(-39))\/(c\/(-33))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 85794769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -99120 less than -693842\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 4*q**2 - 4*q - 5. Let h(t) = -t**3 - 3*t**2 - 4*t - 6. Let a(v) = 2*h(v) - 3*l(v). What is a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/(-6)*(-2)\/3. Let o = 18 + -17.9. What is the second smallest value in o, 0.5, h, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-9 - -4 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14452*a + 11 - 4 - 7.\nAnswer: 14452*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**2 + 0*b**2 - b**2)*(1 + 5 - 7)*(-3*b - 2*b + 6*b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4\/3 + 98*f**3\/3 - 1793*f**2\/3 + 9196*f\/3.\nAnswer: -f*(f - 76)*(f - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1, 9 in descending order.\nAnswer: 9, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 23 - 2 = 0. Let d be ((-4)\/z)\/((-36)\/30). Which is the closest to d?  (a) -1\/5  (b) 3\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)*4*-5)\/(1*sqrt(90)).\nAnswer: -20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -228887, -228873, -228857, -228839, -228819, -228797, -228773?\nAnswer: -228747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/(-12))\/((-25)\/200). Put -3, -566, 1, t in descending order.\nAnswer: 1, -3, t, -566","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 382 = -6*m. Suppose 4*r - 2*u = 1346, 4*r + 4*u + 0*u - 1364 = 0. Let p = m + r. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 258 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 207 + -2?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k + 2. Let n be -2*2 - 16\/(-4). Let y be j(n). Is (y\/(-10))\/(4\/(-1180)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 5, 57, -4, 274, 0, 1 in ascending order.\nAnswer: -7, -4, 0, 1, 5, 57, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 4, -34, -218 in ascending order.\nAnswer: -218, -34, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (593 - 532) + 61 + -21?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 194 divide 47268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-7 + 4 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/648450 and 83\/2237400.\nAnswer: 293099400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 8*g + 48. Let h = g + 19. What is the units digit of 35 - h\/2*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 380 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 8) + 2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 501373 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 505 - 283. Put 1\/2, 4\/5, j in descending order.\nAnswer: j, 4\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0.25. Let n = 0.25022 + m. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**0*v)**(1\/4)*v**(3\/4)\/v*v*v**(3\/8))**(-40) assuming v is positive.\nAnswer: v**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*s**2 - 5*s**2 - 2*s**2 + (1 - 1 - 2*s)*(s - s + s) + 3 - 3 - s**2 + (3606*s + 1843*s - 1600*s)*(-s + 1 - 1) to q + h*s**2 + r*s and give h.\nAnswer: -3854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 342*h + 337*h - 1353*h + 340*h + 343*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 - 2*l**2 + l**2)*(2*l**3 + 0*l**3 + 0*l**3 - 3*l**3 + 6*l**3 - 5*l**3 + (0 + 0 + 2*l)*(2*l**2 - 6*l**2 - 2*l**2) + 0*l + 0*l - 3*l**3).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.32 + -6.30581. Round w to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2737 (base 8) in base 4?\nAnswer: -113133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - (-6104)\/360)*40\/1?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 2. Suppose q = -2*s + 4*q - 14, -5*s - q - 1 = 0. Find the common denominator of (-246)\/44 - s - m and 87\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1503024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 42 - 100*w**2 + 47 + 19 - 42 as z*w**2 + g*w + c and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -7*w**3 - 5*w**2 + 59*w. Let b(k) = -9*k**3 - 7*k**2 + 61*k. Give -5*b(c) + 6*u(c).\nAnswer: 3*c**3 + 5*c**2 + 49*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 7. Let o be 0 + -14*i\/2. Let x be 1 + (-5)\/o + 0. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.07 + 0.23. Let f = -3.49 - 0.81. Let y = f - -4. Sort -5, y, j.\nAnswer: -5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 19*j + 1650. Determine p(-89).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(10\/3))**(-13\/4))**(-27) assuming w is positive.\nAnswer: w**(585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(1440) - sqrt(40)) + (sqrt(440) - (1*sqrt(440) + sqrt(440) + sqrt(440)))\/sqrt(11))\/(2*sqrt(8)*-3*1).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 9*g**2 + 8*g - 1. Let i be w(8). Let o = 4982\/3 - 1675. What is the common denominator of i\/(-6) + (-169)\/(-12) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 87*m - 8661. Calculate t(55).\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47 - -50. Let w be 1 + 3*8\/(-12) + t. Suppose 61 = w*k + 25. What is the least common multiple of k and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5 = -4*z - 2, 4*z = -16. Let m(j) = 289*j**2 + j - 4. Let d be m(f). Round d to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*g + 12 - 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68893837 is divided by 7621?\nAnswer: 7618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1192862243?\nAnswer: 3391, 351773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -482.95 - -485. Let g = z + 0.95. Which is the smallest value?  (a) -4\/3  (b) -6  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwm. Give prob of sequence wwm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 6 + 13)*(8*b - 8 - 6*b - 5).\nAnswer: 14*b - 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25\/143 - -5249\/5148. Let n be (-876770)\/(-207460) - (3 - 2). Let m = n + 1\/943. Find the common denominator of m and u.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 292213*r - 2337701. Determine w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/55 and 67\/8208365.\nAnswer: 8208365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 2.5101\nAnswer: 0.50202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1411.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3506*t**3 - 94*t**2 + 28*t + 70. Let g(d) = 702*d**3 - 19*d**2 + 6*d + 14. Let o(n) = -14*g(n) + 3*v(n). What is the third derivative of o(k) wrt k?\nAnswer: 4140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**4*i**8 assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-39) + (-604)\/(-130). Let f = 21\/5 - u. Let s = -2 + 3. Which is the smallest value?  (a) s  (b) 0  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*(c**(-13)*c)\/c*c)\/(c\/(c\/c**(-23))) assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2676349 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5757976 + 5757976 + 13*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0096481992 to 6 decimal places.\nAnswer: -0.009648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 17 = -5*k, -4 - 8 = -3*o. Suppose 0*u = -u - 1, -3*u + k = -s. What is the units digit of (2 + -5)\/(6\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 1. Suppose n = o - 62 - 29. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1090929826.\nAnswer: 2, 7, 223, 49919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 8*s**2 - s - 2. Let n = -14 - -22. Let x be y(n). Let g = -5 - x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 1827*j**3\/5 - 325209*j**2\/5 - 326499*j\/5 + 537\/5 = 0.\nAnswer: -1, 1\/609, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*d - 9*d - 45. Suppose -2*f + 3*a - 16 = 15, -d = 3*f + 3*a. Let r = f + 28. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b + 4*b + 0*b + b - 3 + 3 + (-17 - 8*b + 17)*(-2 + 3 - 2).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -148844, -297706, -446592, -595514, -744484?\n\"Answer: -2*b**3 - 148848*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gaaaaggannga.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-5 - 77\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 22\/(-5) + -16 + 20. What is the second smallest value in j, -4, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 5*h. Let t = -3 + 4. Suppose h = 3*a - j - 12, 2*a - 3*j = t + 14. Solve 3*s + 5*v = -5, 4*s = a*v + 3 - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -142*a**3\/3 - 2*a**2 + 4*a + 320. What is the second derivative of k(l) wrt l?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -823*b**3 - b**2 + 180 wrt b?\nAnswer: -4938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -301 (base 4) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 573645 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g - 1. Let q be t(-7). Let p be -4*10\/24*-3. Suppose -z + 4*s - 14 = 0, p*z + 3 = 5*s - 7. Solve 4*r - z = q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2 = -2*b, n + 4*b = 1 + 3. Suppose 4*c = 4*g - 40, -5*g + 3 = -12. Let p = c - -12. Solve -2*q + p*o = 7 - 2, n = -2*o + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54008 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001294 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (17\/((-442)\/39))\/(-6*78\/(-48))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*o**2 - 8840*o + 390728 = 0. Calculate o.\nAnswer: 442\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - -3) + -4 - -22. Suppose -r = -6*i - 3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/1296172 or -0.3?\nAnswer: 3\/1296172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*l - 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (273000\/(-29250))\/((-56)\/330)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11141941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 2) + 14 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -6 + 13 + (-6 - 31)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 3*v**4\/8 + 72*v**2. Let l(r) = -42*r**2. Calculate p(l(x)).\nAnswer: -378*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + i + 3. Calculate the lowest common multiple of b(-2) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 3*t)*(-9 + 1 + 2) + (-2 + 1 + 2)*(385*t - 6 + 4 - 598*t).\nAnswer: -231*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g - 6. Let k(b) = 3*b - 21. Let v(p) = 5*k(p) - 18*w(p). List the prime factors of v(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -171 - -102. Let t = b - -99. Let y = t - 31. What is the nearest to y in 4\/7, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 18. Let q be 2\/(1 - r\/(-6)). Suppose -q = 3*z - 30. Solve -z*m + m = k - 27, -2*m + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 403*q + 754 - 754 - 145*q to h + o*q and give o.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 30. Let a = -7 - p. Let z = a + 2. Solve 2*s = 3*q + 4*s - 11, q = s + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 - 3*c**2 + 16. Let n be s(5). Let x(f) = -12*f - 55. Let d be x(-13). Let b = d + -35. Is b >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 7:09 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + t**2 + 2*t + 18. Let h be y(-3). Let j = -51 + h. Sort j, -2, -7, 6.\nAnswer: -7, j, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txxh when four letters picked without replacement from hxttthtththxth.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -763*j**2 - 20*j - 10. Let l(h) = 14496*h**2 + 384*h + 192. Give 5*l(t) + 96*n(t).\nAnswer: -768*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -214788 or -214753?\nAnswer: -214788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*i + 2 = 0, -5*o + 20 = -5*i - 0*i. Let w = 2 + o. Solve w*g - 3 = 3*b - 0, 2 = -3*g - 2*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 11:16 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 2*u**2\/5 - 28*u\/5 - 6 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 6330 = 5*z + 16629, -5*c + 4*z = -51327. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 16*k - 349 = -21*k, -5*p = 3*k + 950. Let n = 183 + p. Suppose 2*v + 3*i - 12 = 0, 2*v + 0*v - 2*i = 2. What is the closest to 1 in v, n, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1 + sqrt(243))**2 + sqrt(243) + sqrt(243)*-1 + -1 + ((sqrt(243) - (sqrt(243) + 0))*-3 - (sqrt(243) - (sqrt(243) + -4*1*sqrt(243))))**2 + 2.\nAnswer: -90*sqrt(3) + 4157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(-2)*(-12)\/10. Let r = 0 - -7. Solve l = 5*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111101100 + -1001010?\nAnswer: -1000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15 - (-4)\/(8 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2636, -10622, -23928, -42554, -66500?\nAnswer: -95766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 - 16. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**6\/(f**2\/f)*((f\/(f*f\/(f\/(f\/(f**(3\/2)*f)*f))))\/f)\/f*f\/((f\/f**(-1))\/f)*f)\/(f**(-3\/7)\/f**5*f**6\/f**(-7)) assuming f is positive.\nAnswer: f**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 514 a factor of 9275674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of p**4\/12 + 8*p. Let h(g) = 2*g**2 - 1 + 1. What is h(b(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 18*k + 3. Let v be a(-14). Let o = 94 - v. Suppose -5*q = -30 - o. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33573 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 8:51 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -0.4, -359, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 0. Suppose 0 = -25*a + 5*a + 40. Suppose -n*f + 12 = -a*b, -b = 2*b + 12. Solve -5*l = 3*r - 15, -3*r - l + 5 = -f*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7285 is divided by 810.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.9 - -4. Sort 1\/12, 2\/7, h in increasing order.\nAnswer: 1\/12, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/(k\/k**(-15)))\/k)\/k)\/((k**(2\/23)*k*k)\/k)*(k*k\/k**(1\/18)*k)\/k*k**(-19))**2 assuming k is positive.\nAnswer: k**(-14549\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/6*0*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 416*a + 10198. Let t be l(-19). What is the highest common factor of 806 and t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -4*y**2\/5 - 203068*y\/5 - 32372136 = 0.\nAnswer: -49957, -810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-4)\/38)\/((-4)\/(-50)) and 107\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(2 - 6 + 0)*(-3*c + 4*c - 2*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -1, 1\/9, -5\/38, 0, 3, -6?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.10759kg in tonnes?\nAnswer: 0.06310759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1194*f - 3617*f + 1204*f - 10*f**2 + 3*f**2 + 1219*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d**3 + 84*d**2 - 87*d - 27. Give b(-43).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -1.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*p - 789 - 1189 = -58. Solve -152 - p = -40*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tbtbt. What is prob of sequence tbbt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 11 - 6 - 14*o + 6*o + 47. Let u be j(6). Solve 3 + u = -5*x - 4*p, 4*x = p - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a + 21. Let v be n(-11). Let w be v\/65 + 2\/(-13). Suppose -5*j + 14 + 21 = w. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/4 - 39510*o**3 - 4162852617*o**2\/2 - 36553314784052*o - 438564850328517\/4.\nAnswer: -(o + 3)*(o + 52679)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 669, 2677, 6015, 10683, 16681, 24009, 32667?\nAnswer: 42655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from zddzddzdzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 25)*(-11)\/35. Let l = w + -57\/7. What is the third biggest value in -4, l, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**5)**(5\/12)*((g\/(g**(2\/15)\/g))\/g)**(-7\/6) assuming g is positive.\nAnswer: g**(343\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 4080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 101, -14, -0.59?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**5*r*r)\/(r**1*r))**33 assuming r is positive.\nAnswer: r**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 1:14 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 19*c**2 + 21*c + 37. Determine y(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139317*f + 3*q + 19 = -139318*f, -4*f + 5*q - 8 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23056*m**5 - 3219*m**2 + 503196393*m wrt m.\nAnswer: 461120*m**3 - 6438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-2\/5)*x)**30\/(x\/(x**(-2)*x)*x*x**(-7)) assuming x is positive.\nAnswer: x**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 116 + 602. Let c be (-1)\/2*((-4)\/1 - y). Suppose -c = 8*r - 1321. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/3975 and -29\/2250?\nAnswer: 119250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 796736 smaller than 796739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) 6  (c) 926  (d) 5.871\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u**3 - 10*u**2 + 39*u**3 - 13*u - 2 + 2 + 12*u.\nAnswer: 43*u**3 - 10*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/(v*v**(-8\/7)))*v**7)**(-44) assuming v is positive.\nAnswer: v**(-2420\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3664?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 + 25.63. Let a = -0.37375 - m. What is a rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -57034, -57516, -57998, -58480, -58962, -59444?\n\"Answer: -482*o - 56552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -3.06. Let f = k - -0.16. Let x = -351 + 2453\/7. Which is the smallest value?  (a) x  (b) f  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**2 - 444*x - 24642 = 0?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1046005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -39179*w - 6. Give a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13000 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: Calculate (-1)\/2*20\/55.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 49279 = -4*h, -21*h - k + 36954 = -18*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -74, -268, -584, -1016, -1558, -2204, -2948?\n\"Answer: n**3 - 67*n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u - 3. What is the units digit of l(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3103 - -123344320?\nAnswer: 123341212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -2*l - 5*g, 0 = 3*l - 8*l - 2*g - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5301 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: Collect the terms in 850*y**2 - 1652*y**2 - 2 + 808*y**2 + 2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*v + 450. What is the hundreds digit of -5 - v - 6\/(-2*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -328*w**4 - 3*w - 67 wrt w?\nAnswer: -3936*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 5*n**3 - 2148*n**2 + 75229*n - 323070 = 0.\nAnswer: 5, 33, 1958\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 d when three letters picked without replacement from djacuzzd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 divided by -424?\nAnswer: -22\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209648 + 209648 + 5*k + 0*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260941 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1358661*q + 1358874*q + 1358595*q - 4075789*q.\nAnswer: 341*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3*i + 6 = 0, 3*t - 4*i - 8 = -0*i. Suppose t = -3*g - 0 + 9. Solve -2*q = -g*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.07 + -0.37. Let r = -132 - -132.1. What is the biggest value in r, o, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 29 from -257391754648.\nAnswer: -257391754677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 5  (c) -0.4  (d) -10  (e) 3\/8  (f) -1046.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tajtrcn. Give prob of sequence tjt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1704, 1713, 1736, 1779, 1848?\n\"Answer: s**3 + s**2 - s + 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/15 and 11\/11 + (2 - 136\/22).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2560 = -9*u. Find the third derivative of 12*t**5 - 8*t**2 + 2*t**3 + 256 - u wrt t.\nAnswer: 720*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.9 - 11.9. Let j = -15 - y. Let i = 29 + j. What is the third smallest value in 3, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + -0.7. Let f = -3.8 + 5. Let u = -0.2 + f. Are u and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j**3 + 16*j + 3*j**3 + j.\nAnswer: -j**3 + 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d**3 - 321 - 737042*d + 737045*d - 77*d**2 + 5*d**3 - 3*d**5 wrt d?\nAnswer: -60*d**3 - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(88) - 1*sqrt(88)))\/(sqrt(64)\/sqrt(72)) - ((2*sqrt(6336))**2 + (sqrt(704)*1 - sqrt(44)) + sqrt(44)).\nAnswer: -25344 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125 and 2375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-12))\/((-3)\/(-12)). Let f = -1208 + 1206.4. Are z and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + i**2 - 2*i. Let m be 924\/473 - (-18)\/387. Let v(o) be the first derivative of -3*o**4\/2 - 2*o**3 + 11*o**2\/2 - 1. What is m*v(d) + 11*a(d)?\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 - (4 - (-9)\/(-6))\/(115\/276)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 12 = -7*d. Solve 3*q = 0, -q - 3*q = -d*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {o: 3, h: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 3:40 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 707010 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4*2 + 83 + 9512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 10*w**2 - 5*w + 5. Let t be h(-8). Let r(g) = 88*g + 2 - t*g + 86*g - 5. What is r(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6745292.48 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -63\/2 + 31. Let u = 0.011 - 6.211. Let y = -1.2 - u. Are a and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -326*t**2 - t - 13. Let z be (0 - (-62)\/(-15)) + (-6)\/(-45). Let x be h(z). What is the common denominator of -77\/148 and (x\/(-90))\/(-11) - 3?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32148 and 5060772.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -33*w - 52*w + 6*w + 0*w. Let g(q) = -7*q. Determine p(g(h)).\nAnswer: 553*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*a - 91*a = -1086. Let t = -356 + a. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s = -9*s - p - 4, 21*s + 5*p + 20 = 0. Suppose -4*v = -g + 20 + 21, 5*g = -v + 100. Solve s = z + 5*w + 11, 5*w + g - 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25271 - -833873\/33. Calculate the common denominator of p and -61\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5841 divided by -33.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 434059.\nAnswer: 277, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.82 + 11.78. Put 0.4, -2\/3, 0.2, x in ascending order.\nAnswer: -2\/3, x, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213600275?\nAnswer: 5, 7, 239, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**5*(((n**(-5)*n)\/n)\/n)\/n)**45*((n*n**(-1\/2)*n*n*n*n*n)\/n*n*n)\/n**(-2\/13)*n*n**(-3)*n\/((n*(n\/n**2)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-997\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*g - 51*g - 39 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -342*t + 1957. Let p be g(5). What is the highest common divisor of 273 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 9:28 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.048317 plus -0.06?\nAnswer: -0.108317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffabab. What is prob of sequence bfaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3026689545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (4 - (0 - (-2 - -3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*r**3 + 1234*r**2 - 3560*r - 606?\nAnswer: -198*r + 2468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -147 - -152. What is the remainder when 57 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 7*a**3 + 2*a**2 + 3*a + 4. Let p(c) = 7*c**3 + 2*c**2 + 4*c + 5. Let h(n) = 5*d(n) - 4*p(n). List the prime factors of h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from cciciivcciiicii?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -0.16309?\nAnswer: -4.83691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 6:55 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1300 = -3*x + 5*x. Suppose -2*p = -5*s - x, s - 4*p + 130 = p. What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 285275935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/(-25)*(-10)\/(-4). Suppose v = f*v. Suppose v = 11*s - 6*s. Solve 0 = 4*a + 4 - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 550 = -87*q - 13*q + 1650 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k + 20 + 4 + 2 + 29 to v + j*k and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of -241 + 40*d + 13\/3*d**3 + 0*d**2. What is the derivative of p(w) wrt w?\nAnswer: 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 8, 0 = -f - 237390*m + 237394*m + 6 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 7*r**2 - 4*r + 8. Let p be y(-7). What is the greatest common factor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b + 327 - 1128 = 0. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 128\/2 + (-4)\/4. Suppose -5*a = -p + 23. Let k = 5 + a. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 956988880.\nAnswer: 2, 5, 991, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*15\/((-120)\/(-104))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -273497, -273462, -273355, -273140, -272781?\n\"Answer: 6*d**3 - 7*d - 273496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 68 = -20. Let n = k - 15. Suppose 3*z - 100 = -n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-12)*f**(-26))\/(f**(2\/9))**(-8) assuming f is positive.\nAnswer: f**(-326\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3922*d + 671*d - 520300 = 2799*d for d.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33496623.\nAnswer: 3, 3721847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 12:15 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3171796 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -14, 1\/860?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 4*b + 1. Let y(c) be the second derivative of -3\/2*c**2 - 11\/6*c**3 + c + 0. Let s = 11 + -19. What is s*j(w) - 3*y(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a**2 - 12516*a - 311025 = 0.\nAnswer: -4147, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 81514785823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -12 + 3450\/285 + 0. Suppose 0 = -2*g + 3*g - 2. Which is the third smallest value?  (a) v  (b) g  (c) -0.1  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 18*b**2 - 77*b - 2. Give o(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.2916 != 2\/879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1666)\/(-21)*7029\/10934?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -236\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 150767035 to the power of 1\/2, to the nearest integer?\nAnswer: 12279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(3\/(-7)*(-15)\/45). Suppose h*w = -29*w + 36507. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -4\/5757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004876 to 6 decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.062 + -4.938. Which is the biggest value?  (a) 5  (b) -1\/3  (c) 2  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (2 - (-13)\/(-4)). Let y = -2 - -6. Let l = y + -8. What is the second smallest value in -1\/3, l, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 141177253 + -208208253. What is k rounded to the nearest 100000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 68*j**2 + 126*j - 376. Give m(-66).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*w - 0*w. Let h be (44580\/40122)\/(3\/(54\/(-8))). Which is the nearest to 0.1?  (a) w  (b) h  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 10, t: 4, e: 6}. What is prob of picking 1 a and 3 e?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/256  (b) 0.1  (c) -85.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + -6. Let m(h) = -3*h + 1. Let t(w) = 7*w - 1. Let z(y) = -9*m(y) - 4*t(y). Let k(q) = -q - 4. Give u*z(l) - 7*k(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 172 + -111. Let a = 39 + -26. Let h = a + z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 + 19*i**2 + i - 22. Let s be l(19). Which is the closest to 1\/2?  (a) 0.4  (b) s  (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29125121.\nAnswer: 61, 477461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 13*p + 5*p**2 - 5*p - 2*p**3. Is 4 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 946386 and 22533?\nAnswer: 946386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 19720+-346.1\nAnswer: 19373.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 239\/5 + -47. Suppose 0 = -46*y - 267 - 9. What is the biggest value in c, y, 1\/3, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y**3 - 27225*y**2 + 37019160*y + 111302640 = 0. What is y?\nAnswer: -3, 2724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 211000*j**3 + 2*j**2 - 1. Suppose -7 = -2*i - 5. Let k be w(i). Let u = k + -431001. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41405205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3c (base 13) to base 9.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -93834660 rounded to the nearest one million?\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = -17*n + 24*n. Let t = -19 + n. Sort t, -2, -1 in decreasing order.\nAnswer: -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*v - 6 = j, 2*j - 12 = 5*v. Is 6 a factor of (-1)\/(j\/(-3 + -15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.35 + -0.76. Let f = 0.47 + k. Which is the nearest to f?  (a) -2  (b) 4\/5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 89*a**2 - 2*a. Let d be h(1). Suppose -2*g = 5*m - 539, 247 = 88*g - d*g - 2*m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s - 8. Let o be d(-8). Let k = -71 + 567\/8. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 29*z + 1. Let j be d(-29). Let p be (3 - 1)*2\/38. What is the second smallest value in j, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 90 - 66. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of 146*k**3\/3 + k**2 - 231*k + 53. Find the first derivative of t(y) wrt y.\nAnswer: 292*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + (sqrt(2)*1 - sqrt(2)) - sqrt(18)\/(-1*sqrt(9)))*-6)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19446534122 + 0.3?\nAnswer: 19446534122.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -4. Suppose 4*i + 0*j + 2*j - 34 = 0, -i = -2*j - 1. Suppose -i*t + w*t = -15. Solve -t*p - p - 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 11) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of 5*v**6\/2 + 27*v**5\/5 + 18*v**4\/5 + 4*v**3\/5 + 19. Factor p(x).\nAnswer: 3*x**2*(x + 1)*(5*x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53191 rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of 0 + 1\/2*b**3 + 1\/60*b**5 - 16*b**2 - 1\/6*b**4 + 0*b. Let x = -129 + 133. Determine v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2231148.12 to the nearest one hundred.\nAnswer: 2231100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2716418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 11:08 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/5)*s\/(s*s**(-1\/7))*s*(s**(-1)*s*s*s*s)**(1\/4)*(s**0\/(s*s*s**(-1)))**(-11) assuming s is positive.\nAnswer: s**(1721\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 912865, 912866, 912867, 912868, 912869?\nAnswer: 912870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -66*d**2 - d + 7 - 2*d + 67*d**2. List the prime factors of t(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21 - (19 + -33)) + -17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -105 - -111. Solve 2*l + 5*d + m = d, 0 = 3*l - 5*d - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(512) - (sqrt(512)*-1*6 - sqrt(512))) + sqrt(512) + sqrt(512) + sqrt(512) + sqrt(512)))\/((sqrt(32) + sqrt(512)*6)\/(2*sqrt(8)*1)).\nAnswer: -576*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f + 145*f**2 + 20 - 55*f**2 - 46*f**2 - f**3 + 0*f**3 to the form g + t*f**3 + c*f**2 + s*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -161 + 161. Let n be (k\/2)\/(76 - 73). Is 3\/7 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1818\/84)\/(1 + (-44)\/(-28)) and -31\/2286.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -74*t**2 + 14*t = 0.\nAnswer: 0, 7\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.038 - -0.062. What is the third smallest value in i, 3, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 3)*(6 - 3 - 1)*(3*o - o - 4*o) + 3*o + 3*o + 0*o + 2*o + o - 2*o + (3 + 1 - 6)*(0 - o + 0) + (-2 + 2*o + 2)*(3 - 4 - 5) as j*o + h and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.11  (b) 2\/3  (c) 12  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 8*w - 7. Let s be c(-9). Suppose d + 5*o = 8, -s*o + 6 - 13 = -3*d. Suppose -4*p - 4*u = -112 - 4, 0 = 5*p - d*u - 121. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g - 3*g + g**2 - 6*g**2 + 9 - 9 + (1 + 2*g - 1)*(-5 + 5 + g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 5. Calculate the remainder when w(7) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*s + 83*s - 4680 = 0. What is the least common multiple of 655 and s?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13 + 1 + 12\/(-12) + 3. What is the greatest common factor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3628551 (base 9) to base 5\nAnswer: 1000434042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -367, 6, 2 in decreasing order.\nAnswer: 6, 2, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 47818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/18)\/(7\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 10658 = -4*k, 0 = 2*k - 3*k + 4*u + 2660. Suppose 2*d - 4*d - k = 0. Find the common denominator of -17\/11 and d\/24*8\/(-54).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1659958\/35 and 47428 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -392 + 390. List the prime factors of (m + 54\/4)\/((-9)\/(-54)).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -23 - 424?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -120322322 (base 4) in base 12?\nAnswer: -4b0a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 + -78. Let g = 47 + t. Suppose g*s - 6477 = -1449. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l - 2*l + l)*(l + 0*l + l) - l**2 + 2*l**2 + 0*l**2 - 4*l + 4*l + 2*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - 1 - (118 - 129).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14645903 to the power of 1\/2, to the nearest integer?\nAnswer: 3827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 5*n**2 - 76*n - 22. Give a(-13).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 16 - 6)*(-18 + 38 - 13)*(2*x - 3*x + 16*x).\nAnswer: 420*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 14\/86264625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) 67  (c) -2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4178 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -14854488 and 3.4.\nAnswer: -14854484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of u**3\/3 - 5*u**2 + 13*u - 6. List the prime factors of f(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -284, -639, -1136, -1775, -2556, -3479?\nAnswer: -4544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34896622 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(35)\/(sqrt(42)\/sqrt(6))))\/(sqrt(121)\/(2*sqrt(11)) + sqrt(176)*4) + 0.\nAnswer: 2*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y + 171 = 11*y. Let d be (-2)\/(-1)*(y + 21). Differentiate 0 - d*m - 11 + 9*m + 5*m wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 5*k + k)*(136*k**2 - 8*k**2 - 21*k - 46*k**2 - 13*k**2).\nAnswer: 207*k**3 - 63*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -4*o**3 - 5*o**2 + 14*o - 8. Let l(r) = r**3 - r**2 - 2*r - 1. Let j(t) = -3*l(t) - v(t). What is j(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 6*j - 3. Let z be t(-4). Suppose 0 = z*k - 83 - 102. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k + 2. Let n be (-9 - -11)\/(2\/8). Let h(f) = 1. Give n*h(u) - 4*d(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from onpop. Give prob of sequence oo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-5) - 1596\/(-1155). Let k = 0.45 + -0.15. Sort k, 0.1, o, 9 in increasing order.\nAnswer: 0.1, o, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 506 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 155886574 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 14 - 11. Calculate the common denominator of 4\/(-12)*-26*s and 2\/6*(-87)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*c**3 + 28*c**3 - 23*c**3.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -151\/11 at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153) + (-1*sqrt(153))**2*-6.\nAnswer: -918 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-1) + (-2 - (68 + -1)). Let b = a - -69. Let g(m) = 31*m - 6. List the prime factors of g(b).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42 + -40. What is the smallest common multiple of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - ((-21 + 2 - -20) + 27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -618254 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 3*q**2 - 4. Let n(f) = f**3 - f**2 - f - 1. Calculate g(w) + 2*n(w).\nAnswer: w**3 + w**2 - 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.4  (b) 3  (c) 2  (d) 1.1  (e) -6\/11  (f) -1571\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -k - 15. What is the second derivative of 3*h - k*h**3 - 31*h**2 + 31*h**2 wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/75*32\/(-112)*-70?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (-141 - (-20)\/(-5)). Let p = h + -152. Sort -1, -5, p in decreasing order.\nAnswer: -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 34542, 34510, 34448, 34350, 34210, 34022, 33780, 33478?\n\"Answer: -o**3 - 9*o**2 + 2*o + 34550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and 406.3.\nAnswer: 401.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2221 + -1996. Calculate the remainder when k is divided by 95.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 26*y**2 - 58*y - 48. Let i be j(-28). Let p be -8*i\/(-48)*21. Solve 0 = -5*q - 4*k + p, 2*q + k + 2*k - 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/4 and -2735 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31068\/39698*(-23)\/(-13)*-52.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 6*o**2 - 2*o - 13. Suppose 16 = 4*d - 0. Suppose z = 2*r + 3, -r = -z - d*r - 22. Calculate the remainder when u(z) is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x - 164*x**3 - 3*x - 60*x**3.\nAnswer: -224*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -20*u**2. Let b(r) = -2408*r. Determine q(b(a)).\nAnswer: -115969280*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = l + 60. Let n = 22 - l. What is the lowest common multiple of 6 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 13. Solve -3*i + 4 = -u - 0, s*u - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((-50)\/24)*(-5)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2971363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 10:19 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3549272 millilitres in litres?\nAnswer: 0.0003549272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3159*f - 21 = -t + 3164*f, -f = 4*t + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 33*d + 40*d = -1090, -3*t - 5*d = 78 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*h*j - 2*a*h - a*j**2 + 3*a*j - 42*h*j**2 + 2*h wrt j?\nAnswer: -2*a - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) + sqrt(85)*-2)*-2) + sqrt(85)*1*4)\/((sqrt(3240) - (sqrt(3240)*-1 - sqrt(3240)))\/sqrt(8))*-5.\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 142922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 8*s**5\/11 - 854*s**4\/11 + 3026*s**3\/11 + 6658*s**2\/11 - 6778*s\/11 - 2060\/11 = 0.\nAnswer: -2, -1\/4, 1, 5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 7240*q + 36251. Determine f(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/6*15)\/2 - 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -3. Let k be 0 - (0 - a\/(-13)). Let v = -281 + 281.4. What is the second biggest value in k, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 227 + 101. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14334 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of 5*o**4\/12 + 15*o**2\/2 - 7. Let p(r) be the second derivative of b(r). Let h(s) = -s. Calculate h(p(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + 11*h**2 - 5*h - 27. Let d be j(-11). Suppose -3*v - v = -4*l - d, -4*v - 2 = 2*l. Solve -v*i - z = -4*i + 7, -3*z = 3*i + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -32  (b) 3.07  (c) -1\/6  (d) 254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 720 + 608. Let d(y) = -25*y - 1. Let l be d(1). Let n = l - c. Solve 12 = -n*q - 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8539370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + -1 + sqrt(1377) + -5 - ((sqrt(1377) - (4*(sqrt(1377) + 2))**2) + 0))*6.\nAnswer: 13824*sqrt(17) + 530208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 7*x**2 - 15*x + 26. What is n(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - g**2 - 4. Suppose -5*m - 50 = 20*m. Let o be 0\/((-3)\/2*m). What is i(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82878280 is divided by 1182?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 30. Let n(m) = m**2 - 12*m + 15. Let y be n(f). Calculate the greatest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 6 + 4)*(-19 + 175 - 20)*(-5 - 4*g + 5).\nAnswer: 1088*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9266*r - 164 + 329 - 165 to the form n*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.5 - -8.5. Put 8, -3, y in decreasing order.\nAnswer: 8, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a503a4 (base 12) to base 6\nAnswer: -131322324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3762 divided by 114\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -465293, -930582, -1395871, -1861160, -2326449, -2791738?\nAnswer: -3257027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 + 59. Let w = g + -11. Let i = 4 + -9. Which is the nearest to 1?  (a) w  (b) i  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -1 + 0 + -80 + 80\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5232 - 2610. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6a68 + -40?\nAnswer: -6aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14 + -1143567?\nAnswer: -1143553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -13*h + 13. Let g(q) = 59. Let u(k) = -49. Let d(c) = 5*g(c) + 6*u(c). What is -13*d(s) + l(s)?\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 496*p - 501*p - 20 = 3*v, 3*p = -3*v - 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((-3 + (-1*sqrt(112) - sqrt(112)) - sqrt(112) - (sqrt(112)*2*-6 + sqrt(112))) + -1*(1 + (sqrt(112) - (sqrt(112) + -1))))*-4*3)**2.\nAnswer: -184320*sqrt(7) + 4143168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4817 + -0.35515. Let v = -0.13 + x. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3943329152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 594094 is divided by 4274.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 300 + -289. Calculate the remainder when (0 - 1)*-41*1 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6073 divided by 1001.\nAnswer: -6073\/1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -12*b**2*i + 1597*b**2 + b*i - 49*b - 12882938*i wrt b?\nAnswer: -24*b*i + 3194*b + i - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 11311044?\nAnswer: -11311051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 396622 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 7*f. Let a be x(5). Suppose 0 = 15*y - 85 + a. Solve -4*r = -y*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fl when two letters picked without replacement from vrlqfttffvtvqvq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 8 = 2. Let a(p) = 16*p**2 + p - 10. Let n(s) be the first derivative of -s**3 + 2*s - 13. Determine w*a(g) - 11*n(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1428713124 or 1428713123?\nAnswer: 1428713124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 22 = -3*s + 60, -2*s + 8 = 0. Let l(j) = -j**2 + 13*j + 19. Determine l(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -64c19 (base 14) to base 8.\nAnswer: -734207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39304 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1949381 and 11039.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(117 - 117 + 69*p + 79*p).\nAnswer: 148*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41 - -46. Which is the third smallest value?  (a) o  (b) 1  (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 20*v - 133. Determine m(26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15515647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1534  (b) 5\/8  (c) -0.2  (d) 3  (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 301492 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20550350144 + -12?\nAnswer: 20550350132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = -x - 80. Let k = x - 11. Suppose 5*w + k = -5. What is the closest to 1 in w, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 217 + -215 + 6\/27 + (-3207)\/(-27). Calculate the greatest common factor of f and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9*(-25)\/15 - (-5 + 1). Is i at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 944217955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -17*b + 5. Determine p(7).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -142995, -684, 2 in ascending order.\nAnswer: -142995, -684, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -4*s**2 + 68*s + 71. Let i be l(18). Which is the second smallest value?  (a) -9  (b) -3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06513 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - j = 0. Suppose -w = -2*h - 1, -4*h = -7*w + 2*w + 5. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1371 - -1595.5. Round d to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 43, 1, -4, -157 in descending order.\nAnswer: 43, 4, 1, -3, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -88\/9  (b) 0  (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31398299 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + z = -48. Let n be (-12)\/(-192)*z\/(-2). Let j = 3.9 + -4. Which is the closest to 1?  (a) -1\/2  (b) j  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of -2*r - 3\/2*r**2 + 0*r**4 + 0 - 3\/10*r**5 + 0*r**3. Differentiate f(p) wrt p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8737.49788 rounded to 0 decimal places?\nAnswer: -8737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/((g\/g**(-1\/2))\/g)))\/g)**(-10\/9)\/(g**1*g)**(-1\/6) assuming g is positive.\nAnswer: g**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -502*r + 502*r + 734*r**3 - 3 + r**3 + 3 - 5*r**2 + 5*r**2 - r**3 + (-3 + 0 + 2)*(-2*r**3 + 4*r**3 - r**3).\nAnswer: 733*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 2*i**2 - i**2)*(-165*i - 304*i + 920*i + (-2*i - 4*i + 4*i)*(4 - 2 - 3) + i - 3*i - 2*i).\nAnswer: -449*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c + 2. Let i = -91 + 94. Let f(o) = -3. Determine i*s(n) + 2*f(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7, 10, 9, 4, -5, -18, -35?\n\"Answer: -2*p**2 + 9*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -524 - -523.8. What is the biggest value in s, -1\/7, -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 12780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -452 or -44\/3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 - -31. Let g be (-7)\/5 + (2 - 1). Which is the second biggest value?  (a) g  (b) s  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1145.693 - 1149. What is x rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.357424 and 0.05?\nAnswer: 0.5678712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*g = -33*g + 273. Let k be 2\/(-3) + g\/(-21). Does 6 divide (2 - 1)\/(k\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 492\/(-11275)*2200\/(-176)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (-1 - 7) - ((8 - 40) + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2287 or -709427\/310?\nAnswer: -709427\/310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 200 + -101. Calculate the greatest common factor of v and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 66574.888 to the nearest 100.\nAnswer: 66600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 698712 or 698720?\nAnswer: 698720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -7, -10, -2\/13, 1\/3, -5, -39, 54?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of 0 - 1\/24*b**4 + 0*b + 1\/2*b**3 + 2*b**2. What is o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 4*y - 5*c = -25, 2*c - 14 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p - 7. Let g be 9\/(-12)*(-12 + 0). What is the units digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*f - 40*f + 272 - 272.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gccc when four letters picked without replacement from {g: 3, c: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29\/12 - 9\/4. What is the second smallest value in 2\/11, 0.2, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 713 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.2, -3\/2, 1, 88?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4666979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -q**3 - 123*q**2\/2 - 2881. Factor z(w).\nAnswer: -3*w*(w + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -48850*d + 83213 wrt d.\nAnswer: -48850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-80)\/(-30))*(-4)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341342 (base 6) in base 5?\nAnswer: 1410422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.4 + 1.4. Let r = -2 - f. What is the third smallest value in -5, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -737 divided by 1\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 6:12 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 7*p - 2222. Let t(d) = -6*d + 2243. Give 8*k(z) + 9*t(z).\nAnswer: 2*z + 2411","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -3111.\nAnswer: 622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 27 + (7 - (42 - 16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -j - 1. Let h(d) = -d - 1. Let c be h(-5). Suppose -5*a + f = 2*f + 439, -c*f + 158 = -j*a. Round a to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1070 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 86*g + 8. Let t(f) = -39*f + 144*f - 56*f - 78*f - 3. What is 5*b(k) + 14*t(k)?\nAnswer: 24*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - (1 + 5) - 1)\/((-21)\/(-35)). Put 3, 2, i, 0.3, -4 in descending order.\nAnswer: 3, 2, 0.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 18982640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2090  (b) -2\/9  (c) 5229  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2005033 (base 6) to base 13\nAnswer: 33c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, 1\/3, 4, -50, -766, 44 in decreasing order.\nAnswer: 44, 4, 1\/3, -0.02, -50, -766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 220 + -158. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -20*b**3 - 7626240*b**2 - 7626225*b - 1906555 = 0.\nAnswer: -381311, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 + 12. Let t be (-4)\/o - (-1 - -3). What is the tens digit of (t - (-48)\/15)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d**2 - 17*d + 8. Let g be n(-9). Let b be (-10)\/4 + g\/2. What are the prime factors of 3\/b*(-177)\/3?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4*x**2 + 5*x + 31. Let z(u) = -3*u**2 - 5*u - 32. Let o(f) = 4*w(f) + 5*z(f). What is the remainder when o(-5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 158457, 158636, 158933, 159348?\n\"Answer: 59*q**2 + 2*q + 158396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 2*h. Find the third derivative of -3*c**5 - 2*c**2 - c**2 + h*c**2 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 17 + 15*i + 3*i - 15.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (612\/(-60))\/(78\/(-130))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t + 15. Let c be w(-8). Suppose -c*u + 3*u + 52 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = -2*g - 16, 4*g - 533 = -2*b - 505 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*o**2 + 14*o - 5*o - 6*o - 5*o.\nAnswer: -116*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*s - 66 = -6 - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, -2, -1\/9, 0.05?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (324\/(-243))\/(22\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.001, 21, 1, -370?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (125 + 2*a**2 - 124 + a**2)*(-50*a - 21*a**3 + 50*a).\nAnswer: -63*a**5 - 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -724 + 361 + 362 - 22*d**2 + (3*d**2 - d**2 - d**2)*(0 + 2 - 6) to the form v*d + l*d**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 (base 7) in base 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 3*f - 6*f + 17*f = 5*f - 93, -5*f - 56 = -2*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -289 + 314. What is the remainder when 68 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 774628 and 7254.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*x - 857*p - 486 = -851*p, p = 2*x - 61 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 736308 divided by -6\nAnswer: -122718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 40*p + 37*p - 17*p**3 + 35*p + p**2 + 3 + 31*p - 139*p. What is f(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b. Let d(a) = a**2 + 2. Let z be d(0). Suppose 2*s - 8 = -z*s. Let g(f) = f - f + f**s. What is r(g(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 88\/3 + 2\/3*t**2 - 10*t.\nAnswer: 2*(t - 11)*(t - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 87346 - 31793821\/364. What is the common denominator of x and -9\/130?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 63 = 5*i + 14, -19 = -4*p + i. Calculate the lowest common multiple of p and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6159 + 0 - ((-48)\/6 + 8)?\nAnswer: 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a*b**4*d + 163966*a*b**3*d - 63189*a*b**2*d*o - a*b**2 + 10*a*b*o - a*d*o - 60*b**3*o + 2*b*o + 5*b wrt b?\nAnswer: 24*a*b*d + 983796*a*d - 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of -r**5\/12 - r**4\/8 - 3*r**2\/2 - 7. Let s(j) be the second derivative of a(j). Find the second derivative of s(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2092.6902454 plus 0.5?\nAnswer: 2093.1902454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**2 - 28016*g - 98112032 = 0 for g.\nAnswer: -7004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3278197 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-634)\/94 + (-91)\/(-13). Let i = t + -271\/141. Which is the nearest to -5?  (a) i  (b) 2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/35, 53, 0.5 in descending order.\nAnswer: 53, 0.5, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 4:15 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 110*c**3 - 55*c**3 - 54*c**3 + 30*c**2 to the form v + q*c + d*c**3 + a*c**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 484\/21*s**3 + 90*s + 0*s**2 - 22\/21*s**4 + 0 + 1\/70*s**5. Factor l(v).\nAnswer: 2*v*(v - 22)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 378020629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3165 + 3212. Solve -j = 3*s - 32 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2332800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Is 29197705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 2*sqrt(468)*2)*-3 + -4*(sqrt(468) + 1) + 4*(sqrt(468) + (sqrt(468) - (sqrt(468) + 0 + sqrt(468)) - sqrt(468))) + -2 + -1)**2.\nAnswer: 5280*sqrt(13) + 187684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1233, 1311, 1393, 1479?\n\"Answer: 2*d**2 + 72*d + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 2*a + 6. Suppose 17*g - 15*g = -2*i + 12, -3*i = 4*g - 22. Let y be 30\/g + (-655)\/262. Solve 4*o - 2*k + a = 14, y*o = -4*k + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 18\/(-8) - 26\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69480848, 69480851, 69480854, 69480857, 69480860, 69480863?\nAnswer: 69480866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = -5*i, -5*i = m - 9. Suppose -4*a - m = 0, -2*a = -0*o - o + 4. Solve 0 = o*j - 3*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from kkkkkckkkkkkkkkkkc?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -178 + 204. Let b = g - 33. Let p(d) = -2*d**2 - 4. Let m(x) = 3*x**2 + 7. Calculate b*p(z) - 4*m(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 5*i + 2. Let n be l(-6). Let y be (-27)\/60*(-70)\/n. Let w = -8 - y. Which is the third biggest value?  (a) 2\/9  (b) w  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 8*w + w. Let c(v) be the second derivative of 0*v**4 + 1\/40*v**5 - 2*v + 0*v**2 + w + 0*v**3 + 1\/24*v**6. Factor c(u).\nAnswer: u**3*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 598647 is divided by 614.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1211\/440 - (6 - 2). Let t = 7\/55 - y. Calculate the common denominator of -97\/6 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.143, -0.1, 4, 0.02, 1?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 3*y - 2947, 0 = -4*i + 8*y - 4*y + 11724. Suppose 0 = 2*t + 3*t - i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 - n + 27 - 100 - 7.\nAnswer: -n - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/4*5\/(-11) and -151\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*h**3 + 8*h**3 - 78*h**3 + 61*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -6*v**2 - 2*v - 77952. Let l(h) = h. Determine s(l(g)).\nAnswer: -6*g**2 - 2*g - 77952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 6 = -3*z - 2, 5*i + 6 = -z. Let m(j) = 0 - 5*j + z - 1 + j. Suppose 4*y + 6 = 18. Calculate m(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of i**4\/4 - 2*i**3\/3 - i**2 + 2*i + 103. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110124?\nAnswer: 2, 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -492\/11 + 145118\/3245. Is v > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/1*(-80 + 17). Let h = j + -5515\/4. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/4)\/(9\/(-72)*-10). Let s(g) = -17*g**2 + 5*g**3 + 3*g - 4*g**3 + 35*g**2 - 9*g**m. What is s(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r**3 + 3*r**2 - 3. Let d(y) = -3*y**3 - 5*y**2 + 5. Suppose 0 = -22*x + 13*x - 54. Give x*d(z) - 10*s(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 - 19. Let g = n + 4. Let a = 145\/286 - 1\/143. Put g, -0.4, a in ascending order.\nAnswer: g, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 365*r = -85*r + 11700 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 3*j - 99, 0 = q + j - 16 + 1. What is the remainder when q is divided by (-1 - 1)*(-755)\/302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, h: 4, u: 11}. Give prob of sequence uuu.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*r + 6 = 45*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(((-210)\/165)\/7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2*v + 55. List the prime factors of (-2)\/(-11) - (-155)\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 98, 4, -47, 0, -1 in descending order.\nAnswer: 98, 7, 4, 0, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20\/2)\/2 - (-2 + -15). Suppose j - 127 = -3*h. Calculate the remainder when (2\/2)\/(1\/103) is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 0*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 297242.\nAnswer: -2080694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*u + 23 = 0, 2 = 2*k + 17*u - 15*u. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348243551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2128830421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 354146 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9456, -18890, -28302, -37692?\n\"Answer: 11*l**2 - 9467*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.37 - 40.63. Let g = k - -40.63. Let j = -0.3801 - g. Round j to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.25703\nAnswer: -0.51406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -74222 and -2?\nAnswer: 74220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2205820704.\nAnswer: 2, 3, 23, 347, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(72)*-1 - ((-5*(-1*sqrt(2) - sqrt(2) - sqrt(2)))**2 - sqrt(10)\/(-1*sqrt(5))).\nAnswer: -450 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*o**4 + 19*o**2 - 19*o**2 + (-2*o**4 + 0*o**4 + o**4)*(-4 + 1 + 1) + 0*o**3 + o**4 + 0*o**3.\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 11:07 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 3*w**2 + 3*w + 1. Let r(q) = 0 + q - 1 + 5 + 0. Let m be r(-2). Suppose -m*p = p + 6. Determine x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -205*d - 1428. Let t be n(-7). Solve 49 = -t*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y = -9*y - 197. Suppose y = 9*j - 91. Suppose -9*h = -h + j. What is the biggest value in h, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + 7 + -9 - 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*k - 0*k. List the prime factors of 1\/(k\/(-20)) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -1\/6*r**4 + 0*r + 0 + 0*r**3 - 2*r**2. Let k(l) be the first derivative of -l**3 - 1. Calculate k(q(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 3*s + 11 = -2*d, -4 = -d - 2*s. Suppose -l = 2*a - 34, l - 30 = -d*a - 2*l. Solve 6 = -4*q + a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 481, 962, 1443, 1924, 2405?\nAnswer: 2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 8:13 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 341.9989 weeks to nanoseconds.\nAnswer: 206840934720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4101509 rounded to 3 dps?\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -326224*c + 652462*c - 326622*c.\nAnswer: -384*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3831082427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-30)\/9)\/(-5)*12. Let s be m*(1 + 2)\/6. What is the biggest value in 3, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l = -553 - 620. Let p = l + 173. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -169\/330 - -2\/165. Let k = -45 - -87. Let i = k - 39. What is the biggest value in i, f, 0.2, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, -0.5, -2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 289886, 579789, 869708, 1159643, 1449594, 1739561, 2029544?\nAnswer: 2319543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/115662 and 127\/134418.\nAnswer: 4973466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 30*z + 181. Let g be x(-6). What is the remainder when 19 is divided by g\/(-5) + (-3192)\/(-285)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2421*n - 2421*n - 5 + 3*n**2 + 4. Give a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.6931 * -1.248.\nAnswer: -2.1129888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 114, -32, -4.\nAnswer: -32, -4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.054 + 0.054. What is the closest to 2 in 4, -0.2, -3, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (24\/(-20))\/(9\/(-30)). Suppose 0 = -5*l + l - d*c + 392, -4*c - 184 = -2*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188080440.\nAnswer: 2, 3, 5, 751, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -4. Suppose g = -g + 2. Put y, 0, g in decreasing order.\nAnswer: g, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f. Let p be 4\/(-6) - (-6)\/9. Let i(j) = 0 - j + p. Calculate k(i(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) 4  (b) 2\/41  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 9*f**2 - f. Let k be p(-2). Suppose 0 = -5*t + 67 + k. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/4  (b) 149  (c) -0.3  (d) 4\/15  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 75260 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 590635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 329 = 5*v. Let h(m) = -10*m + 2. Let n be h(-4). Let o = v - n. Calculate the highest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 54, 85, 120, 159, 202?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 40213?\nAnswer: 160852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 10*g**3 - 4*g**2 + 13*g - 24. Let l(c) = 2*c**3 + 3*c - 6. Calculate 2*f(m) - 9*l(m).\nAnswer: 2*m**3 - 8*m**2 - m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -5\/2  (c) 0.4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**2 + 25521*a\/5 - 10206\/5 = 0. What is a?\nAnswer: 2\/5, 1701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 917.4691 litres in millilitres?\nAnswer: 917469.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 0 - 2\/15*w - 2\/15*w**4 - 2\/5*w**3 - 2\/5*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 9:28 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359604128.\nAnswer: 2, 13, 17, 50849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -5*q + 327 - 244, -q = -3*c - 9 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49910 and 91126.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-55))\/(2\/(-11))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -16 + 3*v + 14 + 2. Let p(s) = s**2. Determine o(p(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/27)\/(((0 - 0) + -1)\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-12))\/(7\/49)*666\/(-63)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gcaixggg. Give prob of sequence acc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m + 38. Let t(c) = c - 1. Let f(l) = -2*t(l) + w(l). Is 3 a factor of f(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.08  (b) 6\/11  (c) 1\/634  (d) -0.3  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 16. Let v be 2 + -1 - (10 + o). Let z be (2\/5)\/(v\/(-1740)). What is z rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -1 - 11*u**2 + 7*u**3 - 39*u**3 + 11*u**2. Let x be y(-1). Let o = x + -18. Calculate the highest common factor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -7, 0.3, -1.\nAnswer: -7, -1, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -110, -251, -448, -701, -1010, -1375?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s + 13. Let c(u) = 26*u + 3*u - 35*u + 4*u - 40 + 7*u. Give 4*c(w) + 11*o(w).\nAnswer: -2*w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 3 - 2*t**2 - 40 + 25*t. Calculate the remainder when v(21) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s. Let f(w) = -4*w - 5. Let z(p) = 595*p + 170. Let n(u) = -102*f(u) - 3*z(u). Calculate k(n(d)).\nAnswer: -4131*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20 + 2*b**2 + 5*b**3 - 8*b**3 - 4*b**3 + 2*b**3 to the form v + r*b**2 + s*b + d*b**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, -4, 1\/4, -0.2 in ascending order.\nAnswer: -4, -0.2, -0.04, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1955?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-4)\/(-30))\/(2\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 81833 and 493772.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*z - 6 = -5*z, 0 = -4*z. What is the first derivative of -2 + 9 - q + 14 - 11*p wrt p?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + 212?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/(-10) + (-51702)\/(-105) - -1 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4, -46, -166, -406, -808?\n\"Answer: -7*d**3 + 3*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10\/(-4) + 2)\/(22\/880). Which is the closest to -0.1?  (a) 1\/4  (b) l  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (164 - 23) + -152 - (-2 + (16 - 1))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/5  (b) 13970  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 297\/165 + ((-358)\/(-210))\/(2\/(-2))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/3774 and -1\/3264?\nAnswer: 120768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 10:00 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/3 - 92*x**2\/3 - 89*x\/3 + 182\/3.\nAnswer: -(x - 1)*(x + 2)*(x + 91)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 74 times 8.5?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -13*h**2 - 1. Calculate n(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 11, n: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6628 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -2476275?\nAnswer: -2476275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 - 8. Suppose -5 + 1 = -3*i + 2*b, -i + 4*b - 2 = 0. Let r be 144\/(-90)*(-5)\/2. Solve -r*z = i + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) - 1*(sqrt(128) - (sqrt(128)*-1 + sqrt(128))))\/sqrt(4) - (2 + sqrt(8)\/(sqrt(64) - sqrt(64)*2))) + -1.\nAnswer: -3 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 410*x + 374*x = 393*x - 321*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 times 0.087\nAnswer: 0.0957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -12*h**5\/5 - 7*h**4 - 4*h**3 + 6*h**2 + 8*h - 25. Let v(u) = 0. What is u?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 408803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 5, 1, 4, 179 in ascending order.\nAnswer: -4, 1, 2, 4, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 5*f**2 + 2*f - 9. Let h be s(-6). Suppose -h*j + 2170 = -8*j. What is the greatest common divisor of j and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, c: 2, r: 8, e: 1}. Give prob of sequence eaa.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (15\/(-10))\/(-3 - (-15)\/6). Solve -4*u - a = 5*w - 5, 3*w - 4*u = 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**2 + 508*c = 0. Calculate c.\nAnswer: 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 320155501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 79\/456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4.3  (b) 6  (c) 14  (d) 41.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from jujuuajxuuljojlxj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-234)\/(-27) + (-1)\/(6\/4). What is the lowest common multiple of 2 and d\/36 - (-744)\/54?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42129270 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.555 + -28.055. Which is the third biggest value?  (a) 2\/9  (b) u  (c) -1.7  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -8*o + 4. Let x(u) = -23*u + 11. Let b(c) = -11*v(c) + 4*x(c). Let h = 10 - 14. What is the remainder when b(h) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1218*0.098\nAnswer: 119.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = o + 7. Suppose -2*x = o*f - 10999994, 2*f + 31929328 - 4429324 = 5*x. Round x to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2 - 14*y**2 - 216*y + 213*y + y**3 + 12*y**2. Let l(d) = d + 1. Determine -h(k) - 2*l(k).\nAnswer: -k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -149*v**2 + 11*v*w**2 + 2388*w**2 wrt v?\nAnswer: -298*v + 11*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 - 23*o**2 + 97*o - 1163. Determine i(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -4*o + 4*h + 17, 3*h + 12 = 3*o. Let n(i) = 12*i - 3. Calculate the remainder when n(o) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1194522768 to the power of 1\/3, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9570 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 4*q + 12 = 0, -4*b + 42 = -q - 37. Let d be 1 + (1 - b)\/3. Let s(p) = -p**2 - p - 1. Let n(i) = 2 + 4*i**2 + 0 + 3 + 5*i. What is d*s(g) - n(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 18\/13, -1\/3, 0.5, 2 in descending order.\nAnswer: 2, 18\/13, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}