{"text":"Question: Let a(h) = 50*h**3 - 2*h**2 + 2*h - 2. Let u(m) = -99*m**3 + 5*m**2 - 5*m + 5. Calculate -5*a(v) - 2*u(v).\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = v + 1, -4*v - 3*b - b = 64. Let w(i) = i**3 + 21*i**2 - i - 41. Let s be w(v). Let t = s - -30. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 9, 0, -4\/7, 0.01?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iviv when four letters picked without replacement from vmiimmiiivmmiii.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 197, 365, 529, 689, 845, 997, 1145?\n\"Answer: -2*f**2 + 174*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4259, 4299, 4339, 4379, 4419?\nAnswer: 4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**2. Let l(m) = -286*m**2. Give l(k(h)).\nAnswer: -286*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/180*(-1413)\/(-210) and 17\/9.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24119 - -24114. What is the fifth biggest value in -43, -0.5, 3\/10, u, 0.5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 164875904 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2229462 and 362.\nAnswer: 403532622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 39 = 3*j, -5*d - 3*j + 123 = -4*j. Suppose 12 = -0*i - 2*i + f, 5*i - f = -d. Let r(l) = -3*l - 1. What is the units digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) + (-3*-1*sqrt(13))**2 + 4*(-2*sqrt(13))**2 + 5 - 3*5*sqrt(208)*-2.\nAnswer: 330 + 121*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4415c5 + 2?\nAnswer: 4415c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 503790 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*g**2 - 3*g**2 + 2*g**2 - 3*g**2 - 5*g**2 + 3*g**2 + (5*g + g - 4*g)*(-4*g + 6 - 6) to the form h + k*g + q*g**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 - 11. Suppose 0 = -4*p + 5*z - 6 - 0, -j*p = -z + 18. Let f = 0 - p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g = -0 + 35. Solve g*x = -5*d - 20, 0 = -d - 3*d + x - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 4*y + 292, 0 = 5*y - 2*a - 641 + 1006. Which is smaller: y or 16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 + 16*q**2 - 18*q + 26. Let u(x) = 5*x**3 - 81*x**2 + 90*x - 130. Let m(o) = -11*d(o) - 2*u(o). Let a be m(13). Sort -1, 1, a, 3.\nAnswer: -1, 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 AM and 5:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, -2\/17, 17, -0.4, -1.3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10221221042 + 0?\nAnswer: 10221221042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 4357.274 decades?\nAnswer: 43.57274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 + 7 + -5)*(4\/6)\/(337\/(-9436))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 286.221056 take away -3.69?\nAnswer: 289.911056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.1 and -3954?\nAnswer: 3953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -8414*r - 32. Let x = -98 + 56. Let n be 36\/14*x\/(-9). Let v be w(n). Round v to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -13668407.029+0.9\nAnswer: -13668406.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1774, -1775, -1776, -1777?\nAnswer: -1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2646*l - 15004 = 2525*l. Suppose -3*t - 128 = -4*k + t, 3*t = -2*k + 44. What is the smallest common multiple of k and l?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 10:57 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(23\/(-13) + 2). Let v = z - 5. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 3*x**2 - 96423*x - 11419686 = 0.\nAnswer: -118, 32259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7536?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 12*w**2 - 6*w + 3. Let m(h) = -36*h**2 + 17*h - 8. Suppose 2*b + 24 = -2*c, -c + 36 = -7*c + 3*b. What is c*i(q) - 3*m(q)?\nAnswer: 12*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2 + (sqrt(405) + -1)*-6)**2.\nAnswer: -864*sqrt(5) + 14649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-6)*-6*3\/48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3011120 (base 4) to base 10\nAnswer: -12632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 1 = 2*g + 4*z, 2*g = 5*z + 16. Let m be ((-2)\/6)\/(11\/(-99)). Find the third derivative of 10*u**2 + u**2 - 2*u**g + 3*u**m wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = y - 12. Suppose 0 = v - 4*k - 9, -5*v - k + 2*k - y = 0. Is v greater than or equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1002 (base 11) to base 6\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27\/2*3508\/(-36834).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwv when three letters picked without replacement from {v: 2, w: 2, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 9:15 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 5*a - 8*a + 93906, 0 = v + 3*a + 31294. What is v rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -13 - ((0 - -5) + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1640 - -678. Let m = h + 1612. What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2560 a factor of 2438799360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 311 a factor of 3700000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2, 5, 3, 13995, -44\/3, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5*1\/(-1))\/1. Let j(v) = -594*v**2 - v + 5. Let g be j(t). Let i = g + 207793\/14. What is the common denominator of i and -107\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -17*d**2 - 7*d - 1. Let m(g) = 14*g**2 + 7*g + 1. Give -4*a(v) - 5*m(v).\nAnswer: -2*v**2 - 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.0419 from -20543.5.\nAnswer: -20543.5419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 6) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1*sqrt(7) - -1*1*sqrt(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the second derivative of -1\/2*m**2 + 4*m + 1\/6*m**3 + 0. Let a be (-1*1)\/((-3)\/12). Determine g(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**2 - 293*y + 4300. Give j(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -149\/8? (a) 5 (b) -10 (c) 1\/9 (d) 171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1621654897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 318204 and 52.\nAnswer: 4136652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 41.1 - 45.1. Let d = 23 - 45. Let m be d\/(-60) + 1\/(-2). What is the biggest value in 1, f, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in -3, 4, -4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 2195, 283.8, -1\/2, -0.2.\nAnswer: -1\/2, -0.2, 2\/11, 283.8, 2195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -2*i. Let n(c) = -456*c**2 - 20*c + 40. Let y(d) = 65*d**2 + 3*d - 6. Let g(w) = -6*n(w) - 40*y(w). Give k(g(l)).\nAnswer: -272*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 + 13. Let x(g) = 21*g - 11. Let p(l) = 11*l - 6. Let d(r) = i*p(r) - 6*x(r). What is the least common multiple of d(-2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -z, -5*z = 2*k - 4*k + 9. Let y(j) = -j - 1. Let q be y(k). What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -5, 1318\/9, -4, 0, -210?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 - -0.2. Let w be 2\/12 - 482\/(-2892). Let y be 4\/6 - (-13)\/(-15). Which is the closest to y? (a) 1\/4 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 67 + -31. What is the greatest common divisor of r and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 56376 divided by -87\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 234882218 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (30\/(-7) + 4)*7. Let t = 1313 + -22339\/17. Is y at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.01, 506\/3, -4, -2, -3, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d = -0*d. Let s = -33 - -34. Sort -3, d, s, -4 in decreasing order.\nAnswer: s, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -0.3, 5, -8, -3.\nAnswer: -8, -3, -0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + ((-195)\/25 + (-3)\/15)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 773 and 47354.\nAnswer: 36604642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16, 136, 460, 1090, 2128?\nAnswer: 3676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 85 divided by -37?\nAnswer: -85\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -4316935.\nAnswer: 12950805","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*m - 21*m - 6*m - 52966 + 52951.\nAnswer: -2*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 5:36 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -5*d**2 - 6*d + 5. Let a = 47 - 42. Suppose 55 = a*r + 325. Let h = r - -60. Let z(n) = -4*n**2 - 5*n + 4. Calculate h*k(f) - 7*z(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j + 3. Suppose 0 = 9*p + 739 + 206. Let q = p - -151. Let u = -51 + q. Let m(a) = 3*a + 5. Give u*d(t) + 3*m(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 103, 410, 921, 1636, 2555, 3678, 5005?\n\"Answer: 102*p**2 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-268)\/6 - (-12)\/18. Let k = 84 + p. What is the greatest common factor of 60 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence clv when three letters picked without replacement from lillciiwcllvcvlcclv.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 + 11*i**2 + 9*i + 39. Let g be d(12). Suppose -48*n + 75 = -21. Suppose 2*j - 30 = -4*m, 2*m + 0*m + 4*j = 30. Solve -g = n*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h + 1. Let y be g(0). Let r be 1 + -4 + (5 - y). Let u(q) = -q**3 - 3*q**2 + 5*q. Let p be u(-4). Sort p, r, 4 in decreasing order.\nAnswer: 4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 10*m**3 + 20*m**2 + 19*m + 1. Let b be f(-7). What is the tens digit of 0 + b\/(-14) - (-36)\/63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 156 a factor of 10140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uucu when four letters picked without replacement from {u: 7, c: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -8961, -35845, -80613, -143265?\n\"Answer: -8942*u**2 - 58*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.2 - 13.5. Let r = t + 11. Let h = r - -0.2. Which is the second smallest value? (a) h (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k + 3*h + 140, k = -k + 4*h + 140. Suppose 5*n - 3*n - 74 = 0. Let b = k - n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 + -2)*(-1)\/2. Suppose 5*a = 2*k - 51, -5*k - 34 = 5*a - 4. Let s be 4\/(-6) + (-42)\/a. Solve -s*g + g - 3 = x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 at least 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be (38\/285)\/(2\/(-2973)) + (-36)\/45. Put -2, -1, x in descending order.\nAnswer: -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 - 4*f**5 - 212*f**2 + 84*f**3 - 3*f + 199 + 50*f**4 - 77*f + 18*f**4 = 0. What is f?\nAnswer: -2, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 76 and 29088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 99 = k. Let i(m) = -3*m - 6. What is the remainder when i(-9) is divided by (-6)\/(-9)*k\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 779483564?\nAnswer: 2, 194870891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4238230 is divided by 141274.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -4*p + 4. Let z = 93 + -92. Let j(y) = -4*y + 9. Let w(d) = 1. Let o(c) = z*j(c) - 4*w(c). Give -4*o(i) + 5*v(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/5*6\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 823.11 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 + 2)*348\/(-18). Let u = -29 - n. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-4) - (3 - 12\/4). Factor 1\/4*u**3 - x*u + 0*u**2 + 0.\nAnswer: u*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*k + 35*k = -330 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2 - 54*w**3 + 63*w**3 + 18*w**2 + 294*w**2 - 1772*w + 294*w**2 wrt w.\nAnswer: 54*w + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188 a factor of 179447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*c + c + 3*c)*(3*c + 50*c - 12*c) - 2*c**2 - 5*c**2 + 2*c**2)*(c + 0 + 0)*(10 - 10 - 4*c).\nAnswer: -308*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -15*s - 112. Let i be b(-8). Suppose i*m - m + 5*m = 0. Solve 2*c + 14 - 8 = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1*(3 + 1)*-1. Sort -1, -5, h in increasing order.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of m**5\/40 - m**4\/8 + 4*m**3 - 7. Let k(o) be the third derivative of c(o). Give k(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, j: 2, d: 5, y: 5, l: 1, e: 3}. Give prob of picking 1 d and 1 j.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 183 * 0.593031\nAnswer: 108.524673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.02 from -0.01949563.\nAnswer: -0.03949563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 4, f: 3, d: 1}. What is prob of sequence fdfk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 1181*g**5 + 14*g**2 + 5*g - 8. Let o(i) = -i**5 - i**2 + i - 1. Let n(w) = j(w) - 5*o(w). Find the third derivative of n(s) wrt s.\nAnswer: 71160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1114 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-32)\/(-10) + (-3)\/15. Let f(z) = 16*z - 3. Let q be f(x). Is 2\/(-10) - (-2214)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 1 = -3*r, -4*k + 22 = 2*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 633*u + 11562 - 37515 = 0 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 111947913 - 28357913. What is y rounded to the nearest 1000000?\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-25619)\/(-9042))\/(3\/(-4))?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express n - 4 - 2*n + 4 in the form s*n + l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14189 - -14184. Let i(l) = -2*l**2 - 8*l + 14. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-336)*-4*(-5670)\/1260.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -6*d**3 - 2*d - 3. Let v(b) = 2*b**3 + 11*b**2 - 8*b - 15. Let m be v(-6). Does 32 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (84343 - 84343 - 1465*s)*(-3*s - 2*s + 4*s) + 3*s**2 - 3*s**2 + 3*s**2.\nAnswer: 1468*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2795 - -2814. Solve 0 = 3*g + 3, -w*g = r - 22*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 12750 by -51.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 25, -77265\/14, 0.06?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of 1\/50*l**5 + 62 + 3\/5*l**2 - 4\/15*l**3 - 1\/40*l**4 + 0*l. Find o, given that a(o) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*t - t + 2. Suppose -t*f + 16 = 2*f. Suppose 0 = l - 3*v - 32, -15 - 22 = -l + f*v. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1991476345 and 28046.\nAnswer: 14023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -211*w. Let v(p) = -73*p**2 - 4*p + 54. What is v(u(y))?\nAnswer: -3250033*y**2 + 844*y + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5007.9 - -5008. What is the nearest to h in 2, 15, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d - 6. Suppose 0 = x - 2 + 8. Let w be v(x). Let u = -1.1 + 1. Which is the nearest to 1? (a) 1\/5 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 2*p + 15. Let y = 4 + p. Let z be ((-12)\/(-137 - 7))\/((-7)\/(-8)). Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 4, y: 1, e: 3, o: 1, b: 4}. What is prob of picking 3 e?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/(-3) - -4*25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34587898 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -101122120 (base 3) to base 7\nAnswer: -31431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6 + 44 - 7 - 175*d + 1 - 27 to the form c*d + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j**3 - 10530*j**2 + 6802299*j - 1229303952 = 0.\nAnswer: 387, 2736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -4142320 divided by -560?\nAnswer: 7397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) -1\/8 (c) -15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 6*j - 2. Let w be b(-1). Let g = -11 - w. Is g not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + (49 - (2 - -19)) - 69.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2061543329364 - 5\nAnswer: 2061543329359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25603824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 4 + 6*q**3 - q**3 - 2*q**3 to the form b + a*q**3 + l*q + k*q**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z - 7. Let m = 7 + 0. Let g be c(m). Suppose -q = -n + 27, -3*n + g*n - q + 97 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-9)\/(-2) + (-1)\/2. Let l = 31990 - 31995. What is the biggest value in s, 0.4, l, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 45 - 40. Suppose 0 = v + 4*f - 43, -o*v + 115 = -2*v - 2*f. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5 - 5 - 1)\/(1\/(-13)). Suppose 15 = -16*q + s*q. What is the second smallest value in q, 2\/9, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 837 = 4*y. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 203, 180, 157, 134, 111?\n\"Answer: -23*d + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -3*z**2 + 3*z + 9. Let o(q) = 2*q**2 - q - 5. Let t(b) = 5*o(b) + 3*u(b). Let a be t(-3). Which is smaller: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 69072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 AM and 9:13 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-3325)\/3)\/((-147)\/441)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 313 and 981?\nAnswer: 307053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, c: 2}. What is prob of picking 2 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 6, u: 2, k: 1, w: 2}. What is prob of picking 2 w and 1 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**3 + 5*b**2 - 6*b + 3. Suppose -u - 1 = 1. Let y = u + 4. Let i be (4 - -1) + y + -3. Determine o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 5 + 14. Suppose 21 - 6 = n*v. Let l(z) be the first derivative of z**3\/3 - 2*z**2 + 2*z + 1. Calculate l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 924955.59 to the nearest 100.\nAnswer: 925000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 495568670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 163777040 is divided by 16377703?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -911 - -13\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 320 is divided by 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 245 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -437.1 - -498. Let w = -54 + y. Let d = -7.3 + w. What is the nearest to 0 in 2, d, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 826 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -795e6 - 2?\nAnswer: -795e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -522 + 476. Calculate the remainder when w + 41 + 181\/1 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 119 divide 3971707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 49 in 0, -0.49, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**32*l*((l*l\/(l\/(((l*l\/(l**(2\/55)*l))\/l)\/l)))\/l)\/l assuming l is positive.\nAnswer: l**(1703\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 3 = -1. Let q = -1282 + 1282.5. Let h = 0.7 - -4.3. Which is the second biggest value? (a) h (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 1 = 5*v - 2*i, -4*v - 5 = 5*i. Suppose 2*o - 7*o = v. Suppose -5*f - 4849 - 1051 = o. What is f rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 603389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 80 - -39 - (56 - 0 - 27).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(((-32)\/33)\/(-8))*-33*136\/6732.\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-16)\/(-6) - 2)*-3. Let q(s) = 3*s**2 + 2*s + 1. Let a(x) = 7*x**2 + 8*x + 2. Let d(o) = -a(o) + 2*q(o). Let p be d(u). Solve 4*g - p = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64.1960149 plus 89.1667?\nAnswer: 153.3627149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/1 + -20)*(-1010)\/20 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35942.\nAnswer: 2, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + b = -8. Suppose -5*y - 13 = f - 2*f, -b*f + y = 5. Which is smaller: -7 or f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, e: 17}. Give prob of sequence me.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 41070, 41080, 41096, 41118, 41146, 41180?\n\"Answer: 3*n**2 + n + 41066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -539*w**2*x - 1748*w**2 wrt x.\nAnswer: -539*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -9967, -10652, -11337?\n\"Answer: -685*i - 9282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -900.3 + 900.7. What is the fourth biggest value in 6\/5, -0.5, 0.06, d, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 5*j - 4. Let g be (56\/112)\/((-3)\/(-12)). What is u(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d - 24. Let y(o) = -o + 16. Let l(h) = -2*n(h) - 3*y(h). Let r(m) = -136*m. Give l(r(s)).\nAnswer: -136*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37235 = 4*v - 71429. Let r = 77566 - v. What is r rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 4\/5 - 34\/15*q + 2*q**2 - 2\/15*q**4 - 2\/5*q**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28546028.81 plus -112675?\nAnswer: -28658703.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 48.87475mg in kilograms?\nAnswer: 0.00004887475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/134670 and 91\/48?\nAnswer: 1077360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 90*x**3 - 13*x - 14. Give y(-1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1506 and -57926.1?\nAnswer: 59432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 1 + 4 + m**2 + 2*m - m**3 + 1 + 14. List the prime factors of q(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 17*k**2 - 951*k - 56. Let b be y(56). What is j in 5\/2*j**3 + 0 + b*j + 5\/2*j**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of h**7\/84 - 11*h**6\/90 - 53*h**5\/60 - 13*h**4\/6 - 97*h**3\/36 - 11*h**2\/6 - 31*h - 1. Suppose w(k) = 0. What is k?\nAnswer: -1, -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 9 = 2*t, -3*t = f + 6. Suppose -10 = 4*j - 3*i, -5*j - f = -i - i. Let l(x) = -20*x**3 + x**2 + x. Does 7 divide l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-51)\/238)\/(12\/(-28)))\/(2\/(-56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(3\/10)\/i)\/i*(i\/((i**(-1\/5)*i)\/i))\/i*(i**(-8\/3)*i)\/i*((i*i**(4\/7)\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**(-193\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -61 + 76. Suppose -4*j + 6 = -3*j. What is the remainder when z is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 42292 and 776.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*i + 4. Suppose 0*m - m = -i. Factor 0*j**2 - 2*j**3 - 2*j**m + j**3 + j**4.\nAnswer: j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -479001380 divided by -43545580.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 4*y - 3*y - 2 - y + y**2. What is the units digit of f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 32207*f - 6. Give t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-411)\/6*8\/(-4). Let o = u - 94. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13 + 16*r + 13)*((-2*r - 4*r + 3*r)*(0 - 3 + 2) + 217*r + 124*r - 26*r) to the form l*r**2 + b*r + g and give l.\nAnswer: 5088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 7 - 9)*(16*f - 10*f - 19 + 17) + (0 + 0 - f)*(1 - 4 + 4) + 2*f + 1 - 1 - 3*f + 2*f + 0*f.\nAnswer: -78*f + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 25671490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 59, 110, 173, 254, 359, 494, 665, 878?\n\"Answer: x**3 + 44*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12739584 a multiple of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 - 4*d**2 - 4*d - 47. What is t(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 6627 - 6660 = 3*r, 1 = -5*o - 2*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, d: 2}. What is prob of sequence odoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 11*b - 192. What is the remainder when o(23) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1.6813137 - -0.3\nAnswer: -1.3813137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -1332*l + 25357 - 53841 = 31456 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -920000 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10059 + 2*x**2 - 10059.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*v**2 + 54*v**2 - 8 - 117*v**2 + 9*v = 0. What is v?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1a + 30788?\nAnswer: 307a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a hour in seconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 28 = -22. Suppose v - 1 = i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-114)\/36*(12\/1)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11878253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/2 - (-58)\/4. What are the prime factors of (-2)\/c + 2277\/63?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -30\/7 or -3?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**2 + 2171*b - 74759. What is o(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-9 + 7 + -15 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/13 (b) 526707 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5.3 + 6.3. What is the third biggest value in 2, p, 2\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - 8 = 2*a. Let v be (-2 - 2)*a\/4. Let i be (-64)\/(-12)*(-3)\/v. What is the highest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b - 2. Let t be h(3). Let z be ((-7)\/7)\/(-1*1). Suppose q - z = -2. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*262.7.\nAnswer: 262.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26.001 - -0.001. Let t = c + 43. Let b = -19 + t. Put -3\/2, b, 5 in ascending order.\nAnswer: b, -3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2 - 3967520*s - 47610096.\nAnswer: -(s + 12)*(s + 3967508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3029, 6166, 9421, 12800, 16309, 19954?\nAnswer: 23741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 + 0)\/(2*1\/3). Suppose -2*b - 2*j - 9 = s*b, -3*b - 11 = 4*j. Let r(w) = -20*w - 5. Let a be r(b). What is the greatest common divisor of 75 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3350 and 500?\nAnswer: 33500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2.6? (a) 3\/2 (b) -4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -133 + 134. Which is the nearest to k? (a) -0.064 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2125247392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -10 - 26. Calculate the lowest common multiple of r and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 2 (c) 17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 11:11 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.088097 rounded to 3 dps?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 215670?\nAnswer: 2, 3, 5, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 6*s = -3*f + 36, 2*s - 51 = -3*f. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/(106\/26 + -4). Let l = 45 - x. List the prime factors of 184\/12*9\/l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -21 + 26. Solve 6 = j + 2*a + 1, -11 = -2*j - m*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let c = 2449 + -1012. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the third derivative of -p**6\/24 + 3*p**5\/4 - 5*p**4 + 40*p**3\/3 - p**2 + 31*p. Find a such that y(a) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4.3 <= -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47 + 3*v + 47 - 5*v.\nAnswer: -2*v + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 41195421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 54 - 51. Factor -3*q**j + 20*q**2 + 16*q**2 + 133*q - 27*q**3 - 25*q**4 - 141*q.\nAnswer: -q*(q + 2)*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 321 by -5.\nAnswer: -321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/2))**1*(l\/(l**(-2\/7)*l))\/l*l*l\/(l*l*l**(3\/14)\/l)*l assuming l is positive.\nAnswer: l**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(576\/(-280) - -2). Which is bigger: o or 33?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c08 (base 14) to base 2.\nAnswer: 1001111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 5*o + 108, -36*o - 54 = -k - 34*o. Solve k*d = 59*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q = -4*d - 5*q - 24, 4*q = -3*d + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/2 and 47\/13516.\nAnswer: 13516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 25944 divided by -2?\nAnswer: -12972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t**2 + 0*t**2 + 2*t**2)*(-2*t + 2*t - 2*t)*(-2*t**2 + 0*t**2 + t**2) + 5*t**5 - 5*t**2 + 5*t**2.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/5)\/((-56)\/70). What is the nearest to 1 in 1\/4, t, 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*d + 24920 = 828*d for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v + 2*k - 6, -k = -5*v - 8 - 4. Let j be 1 - (v + 0 - -1). Solve -j*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lxoooloollllllvooo. Give prob of sequence ovl.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -734 - 752 - 718 + 3003 + 5*z**3 - 4*z**3 - 756.\nAnswer: z**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h**2 + 1. Let g be x(1). Sort 22, g, -2.\nAnswer: -2, g, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3450 and 8?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 7*t - 1. Let v(x) = -x**3 + x**2 + x. Let k be v(1). Give h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2 + 9*x**2 - 5*x**2 - 15*x**2 + 4*x. Let b be n(5). What are the prime factors of b\/(-3) + (-18)\/(-54)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/7, 6841, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -316.6966 - 141\nAnswer: -457.6966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*d - 100*d**3 + d**2 + d + 79*d**3 to the form a*d**2 + p*d + k*d**3 + c and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 103495?\nAnswer: 5, 7, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = 3*k - 6*o + 4*o, -3*k = -o + 21. Let i(j) = 3*j - 10. Let n(p) = -1. Let b(q) = -2*i(q) + 18*n(q). What is the tens digit of b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c + 21. Let h = -12 - -12. Let t be h + 0 + -9 + 21. Calculate n(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32, -68, -98, -116, -116, -92?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 86290 and 86290.\nAnswer: 86290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-3*-4*sqrt(78) - sqrt(78))\/sqrt(6))**2*5*1.\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y + 2*l + 1758, 4*y - 1999 = 3*l + 345. What are the prime factors of y?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 14) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*t - 4*c = -11*t - 6, 11 = 3*t - c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate o*p**2 + 18*o*p - 3410*o - 502*p**2 - 5 with respect to p.\nAnswer: 2*o*p + 18*o - 1004*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of -13*y**3\/6 - y**2 + 14*y. Let d be n(-1). Solve -g - 1 + 4 = -c, -3*c = -2*g + d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - 4. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7318547 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of 187*c**4\/6 - 257*c**3\/6 + c**2 - 1031*c. Find the second derivative of m(f) wrt f.\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -233287309*v**4 + 20665141*v**2 + 12?\nAnswer: -5598895416*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -4*t - 4*q, 2*t - 5*q - 12 = 0. What is the second smallest value in -2\/29, 9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 287230251?\nAnswer: 3, 7, 11, 1243421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 + -15. Sort -5, -9, m in decreasing order.\nAnswer: m, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(112) - ((sqrt(112)*3*3 - sqrt(112)) + sqrt(112))) + sqrt(112)) + -4 - -5*((sqrt(112) + -3)*6 + -2))**2.\nAnswer: -7488*sqrt(7) + 19888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (48\/90)\/(-4) - 8\/12.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, s: 3, d: 4, n: 1}. Give prob of sequence nsw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + 11022200000?\nAnswer: 11022200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 311 and 58779?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 + 998\/16*-2)\/(79499\/(-45428))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 244373 - -110?\nAnswer: 244483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -0.75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 105196 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 12, -64, -274, -684, -1360?\n\"Answer: -11*k**3 - k**2 + 4*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (-105 - (-108 - 6)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 139194.\nAnswer: 2, 3, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (((-9)\/20)\/(9\/(108\/3)))\/(12\/160)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/60)\/(34 - 26 - (-152)\/(-18))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**4 + 84*d**3 + 656*d**2 + 2256*d + 2880.\nAnswer: 4*(d + 4)*(d + 5)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 191146 and 22?\nAnswer: 2102606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 31, -22.\nAnswer: -22, -3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - 6*sqrt(130)*1 - sqrt(130)))\/sqrt(5))\/(-6*(sqrt(242) + sqrt(242) + 2*sqrt(242)) - sqrt(242) - sqrt(242)).\nAnswer: -7*sqrt(13)\/286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002653 to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, j: 5, c: 1, o: 2}. Give prob of sequence ic.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*62\/(-24) - (-37)\/(-148).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (10\/(-5) + 7)\/1. Solve 12 = -r*y + 3*y - 4*g, 0 = -2*y - 2*g - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6383, 6276, 6127, 5936, 5703, 5428?\nAnswer: 5111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -552142*d**3 + 276416*d**3 + 275306*d**3.\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -157, -566, -1227, -2140, -3305, -4722, -6391?\nAnswer: -8312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1179*c**4 + 11*c + 1176*c**4 - 2 - c**2 + 19*c to the form v + f*c**4 + i*c**3 + q*c**2 + l*c and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*b**3*m**4 + 30*b**3*m**2 + 88892*b**2*m**6 + 27*b**2*m**2 + 14*m wrt m.\nAnswer: 48*b**3*m + 10667040*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oypwrywwopoo. Give prob of sequence yo.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 11 - 1 + 4*m + 3 to the form o*m + r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/8 >= 30837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 28*a**3\/3 + 1132*a**2\/3 - 13048*a\/3 + 17600\/3 = 0.\nAnswer: -50, 11\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5811783947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (1\/2*-2)\/(14\/14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 2:58 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78235 is divided by 78225?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11*(-304)\/(-2508))\/(2*3\/(-612)*4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3117898.189693 - -3117901. Let w = c + -2.81. Round w to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 5 - 1)*(g + g - g)*(688*g + 876*g + 1740*g) in the form d + h*g**2 + m*g and give h.\nAnswer: -3304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 46 + 162. Let r = -163.5 + q. Let x = r - 44. What is the nearest to 1 in x, -2, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 - 8241*z + 1783371. What is m(211)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12559*d**2 + 5872*d**2 - 34*d - 7*d.\nAnswer: 18431*d**2 - 41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -s**4 - 181*s**3 - 55*s**2 - 1?\nAnswer: -24*s - 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 679, 4455, 14697, 34639, 67515, 116559, 185005, 276087?\n\"Answer: 539*h**3 - h**2 + 6*h + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 46598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -704*c**2. Let b(y) = -114*y**2. Calculate b(g(i)).\nAnswer: -56500224*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(297\/(-6)) + 0\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hnlhllmhmhwk. What is prob of sequence mnw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**4 - s. Let x(v) = -19*v**4 + 29*v. Let g(b) = -x(b) + 5*y(b). Find the second derivative of g(u) wrt u.\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 1 + 4 - 11 + 137*h as f + y*h and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -90, -91, -92, -93?\n\"Answer: -q - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 38215280 and 21320?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.025 and -0.151.\nAnswer: -0.003775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 18517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 3 - 5 - j**2 - 8*j - 5. Calculate u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 251.93536 + 0.19464. What is v rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 103, 215, 327, 439?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 4585365 by 26815.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-18)*(1265\/1155 + (-4)\/6)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4172 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 + 6*p - 1. Let b be t(-6). Let i = -6497\/28 - -232. Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -37095326\/77 or -481756?\nAnswer: -481756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 228 = -427. Round p to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -10.7, -0.2, 2\/11, 2, -17, -2\/13, 0.1?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 - o. Let z(a) = -4*a**2 + 3*a + 3. Calculate 3*n(t) + z(t).\nAnswer: -t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 64 and 176.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.073 - -0.225?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3012 + 3009. Which is the fourth biggest value? (a) z (b) 0.2 (c) -84 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*v = 90 - 90 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cco when three letters picked without replacement from coccco?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*b**3*v**5 - 91*b**3*v**3 + 28*b**3*v**2 + 2*b**3*v - 7*b**2 wrt v?\nAnswer: -180*b**3*v**2 - 546*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y - 2*y - y)*(-12*y**2 + 13*y**4 + 12*y**2) + 3*y**5 - 4*y**3 + 4*y**3.\nAnswer: 29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 2*u + 16. Let g(w) be the second derivative of w**6\/720 + 7*w**4\/4 - w + 68. Let h(t) be the third derivative of g(t). Give h(f(j)).\nAnswer: 2*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4818 - 16*t + 15*t - 141*t**2 - 4812 to the form j*t + q + v*t**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express ((3 - 2 + 1)*(-6 + 1 + 2) - 4 - 2 + 4)*(10 + 4 - 3)*(0 + 0 + 2)*(-262 + 262 - 14*p) as w + k*p and give k.\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8525131 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = 5*b - 47. Let l be 1 + -1 + 0 + b. Let c = 2 - 0. Solve -l = t - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, -2\/15, -0.03, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 2*l + 4 = 0, -4*l = -5*p + 3 - 11. Suppose 2*q - 5*c = 15, -3*c - 1 = q - 36. Calculate the remainder when q is divided by 6 + p + 7 + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12647, 25295, 37943, 50591, 63239?\nAnswer: 75887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -2461.491 to the nearest 10.\nAnswer: -2460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 + (2010\/(-33))\/(-10). Suppose 207*n - 200*n - 28 = 0. Which is bigger: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 - 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -12790, 0.02, 22, -5.\nAnswer: -12790, -5, -0.2, 0.02, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q + 4*q - 2*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2137 - -2199) + -125 + -2.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 9 = 3*k, -309*k - 2*z = -298*k - 42 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 - 7*q - 7. Let a be l(-1). Are -4 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2914924 is divided by 42245.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + (sqrt(3) - (-3*sqrt(3) + -1)) + (sqrt(12))**2 + 4.\nAnswer: 5*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 333149137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 9*a**2 + 26*a**3 - 27*a**3 + 17*a**2 as u*a + m + o*a**3 + b*a**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 35\/(-630)*21*(-8)\/14.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 12:29 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the third derivative of -2*c**7\/105 - 17*c**6\/40 - c**4\/12 + 16*c**3\/3 - 3*c**2 - 28*c. What is the second derivative of s(a) wrt a?\nAnswer: -48*a**2 - 306*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/(w*w\/w**(-2)*w)*w*w*w*w)\/w)\/w**(-2\/3)*((w**(-2\/7)\/w*w)\/w)\/(w**(-3)\/w) assuming w is positive.\nAnswer: w**(71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**2 + w + 6. Let q be z(3). Let d be q\/(-72) + (-18)\/(-8). Let c be -3 + (-9)\/((-6)\/d). Solve -m + 2*a + 4 = c, 3*m + a = -0*a + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w + 2735 = 383. Calculate the greatest common factor of 96 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 2)*(-1335*t**2 - 3973*t**2 + 1721*t**2).\nAnswer: 7174*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mxqq when four letters picked without replacement from {m: 1, x: 12, q: 5}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 + -4)*2\/(-4). Is 4 + (-2 - -795) + w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.14 + -0.7938137.\nAnswer: -0.6538137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 76\/17929?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001110110011010000110 + 10100100?\nAnswer: 1001110110011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -1\/6*d**5 + 1\/3 - 1\/6*d + 1\/3*d**3 + 1\/3*d**4 - 2\/3*d**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1.67 times 98641?\nAnswer: -164730.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 40, 1 in descending order.\nAnswer: 40, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 + 14. Let i = s - -13. Let r = 13\/14 + -145\/126. Which is the closest to 0? (a) i (b) 1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -170*t = -198*t + 252 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 144*n**2 + 11 - 52*n + 176*n**2 + 21*n**2 + 58*n. Let t = 52 - 55. Is p(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 3*o**5 + 162*o**4 + 1029*o**3 - 24426*o**2 + 63552*o - 40320 = 0.\nAnswer: -40, -24, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kjjjjjj. What is prob of sequence jk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1215163 and 97.\nAnswer: -11.7870811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5280581 meters to micrometers.\nAnswer: 528058.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37978.\nAnswer: 2, 17, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1291*n + 3332*n - 41721 = -2905*n + 26031 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 18301 or 18309?\nAnswer: 18309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 215*o**2 - o - 3. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 10:40 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*h**3 + 5*h**3 - h**3)*(h - h - h**2) - h**5 + 3 - 3.\nAnswer: -16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -26 - -25.9. What is the closest to 0 in -3\/4, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 93\/7 + (-20)\/70. Let w = -19 + 33. Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31636.\nAnswer: 2, 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -10*p**3 + 3*p**2 - 3*p. Let l be t(2). Does 9 divide l\/(-4) + (-3)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/10932 and 52\/8199.\nAnswer: 32796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12732?\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 25\/362 (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9775 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/6 - 42*29\/(-20). Let n = 62 - w. Which is the nearest to -2\/5? (a) 0.1 (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v**3 - 198*v**2 - 199*v - 59. Calculate u(67).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 28098218\/2692515 + 62\/25643. Let v = 74\/7 - j. Let i = 2.35 - 1.35. Sort 0.2, -1\/2, v, i in descending order.\nAnswer: i, 0.2, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4798 - 1552 = -2*v, -a + 2*v = -1600. List the prime factors of a.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1124052751 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 158*q - 22298. Give l(143).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of 13*j**4\/24 - 19*j**2. Let d(c) = 2*c. What is d(y(b))?\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-637)\/(-2205) + (-2)\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1116)\/31*((-1)\/(-10) + 714\/(-840)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of v**9\/2160 + v**7\/630 + 5*v**4\/12 + 11*v. Let s(r) be the third derivative of a(r). Find the third derivative of s(t) wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 10.5 (b) 162\/713 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 + 9*v**2 + 11*v + 8. Let q be -6*(0 + (-2)\/(-4)). Let l be (-75)\/(-20)*(-8)\/q. Let h be k(l). What is the greatest common divisor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -410 - 0.655.\nAnswer: -410.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = 3*o - 5*k, -2*o - 4*k + 0*k - 24 = 0. Let s(i) = i + 16. Calculate the remainder when s(o) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 - -15. Suppose -5*r + 14 = -6, -35 = -5*i - k*r. Suppose 2*u - u = i. Calculate the remainder when 8 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.04 (c) -1.3862\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 43*j + 463. What is l(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m + 17 = 10 + 35 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7316 - 7315. Suppose -3*r = 3*l + 1 - 13, 0 = l + 4*r - 4. Put -4, u, l in decreasing order.\nAnswer: l, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 2*m - 24 = -6, -5 = -2*i + 3*m. Suppose 6 = 31*p - 28*p. Solve -p*x + i + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-176400)\/(-60515) - (-42)\/(-13).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1201926*d**4 + 2*d**2 + 4*d - 189589991?\nAnswer: 4807704*d**3 + 4*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -13) + 9 + (5 - (7 + 14 - -21))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 3*m**3 + 6*m. What is p(-3)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2531305, 2531376, 2531447?\n\"Answer: 71*p + 2531234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -449 take away -0.8?\nAnswer: -448.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*x**5 + 275*x**4 - 5705*x**3 + 54225*x**2 - 222750*x + 270000.\nAnswer: -5*(x - 15)**3*(x - 8)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2687 - 2694. What is the third smallest value in t, 3\/7, 1, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -338 (b) -5\/4 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 17797, -1.4, -3 in decreasing order.\nAnswer: 17797, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 217 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.6? (a) 0 (b) -0.4 (c) -1 (d) 3 (e) -1032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 + 7*x - 1. Let b be -4*3\/(-6) - 20\/4. Determine k(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -7*w**3 + 15*w**2 + 5*w + 5. Let a(h) = -3*h**3 + 7*h**2 + 2*h + 2. Give 5*a(x) - 2*p(x).\nAnswer: -x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 AM and 1:20 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-3\/13)\/w**9 assuming w is positive.\nAnswer: w**(-120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 76\/(-28) - 10\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j - 2*j + 4 = 0. Let v be (j\/15)\/(30\/(-100)). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 - y - 1. Let q(s) = -4*s**2 + 5*s + 6. Calculate 5*j(f) + q(f).\nAnswer: 5*f**3 - 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-10)*(80\/16)\/((-6)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 72082161 to the nearest integer?\nAnswer: 8490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 38 = r, -6*s - 4*r = -2*s - 40. Let i = -6 + s. Suppose 2*v - 84 = -i*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33482 is divided by 1860.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 1. Let j = 0 + n. Let m be 2 + 62\/(-40) + 4\/(-20). Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3925\/162 + -86\/81. Find the common denominator of (-47)\/8 - (0 - 2) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from {t: 6, w: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1164 - -6\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 32\/(-2)*25\/20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 7 = 5*z. Let p be (-1 + 22\/16)\/z. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*g**2*h**4 + 101*g**2*h**2 + 3*g**2 - 68*g*h**4 - 11*g*h**2 wrt h.\nAnswer: -168*g**2*h - 1632*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -43\/885?\nAnswer: -43\/885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 - 9*z**2 - 14*z + 26. Let i(t) = -5*t - 69. Let l be i(-16). Does 12 divide u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1102 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-12) + (-639)\/(-4))\/27 - (-932)\/12582.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 + -7. Let t = 86 - 49. Let y = t - 32. Sort 2, p, y in ascending order.\nAnswer: p, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 24000004\/10 + 6\/(-15). Let g be (-1)\/(1*(-2)\/4). Suppose -u = -g*k - k. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -20, -5*x = -7*c + 8*c + 23. Let t(z) = -17 - z - 16 + 17 + c. What is t(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 951106.\nAnswer: 2, 13, 157, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 6 (b) 1\/3 (c) -274 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7445272576?\nAnswer: 2, 7, 619, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.39617896 to 4 decimal places.\nAnswer: -0.3962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((-1*sqrt(152))\/sqrt(8) - (sqrt(228)*-2)\/sqrt(12)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 29341768361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = -5*u + 83. Let x(n) = n - 6. Suppose 4*p - p - 27 = 0. What is the least common multiple of x(u) and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -1820 + 0*x**2 + 5*x**2 - 6*x**2 - 32*x + 1765. Let o be w(-30). Solve -25 = o*v - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34844918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2114*t - 6882*t - 224096 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.15 - -5.65. Let q = -5 + k. Which is the closest to 2? (a) -3 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 - ((42 - 26) + -41)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 710 = 14*y - 69107. What is the highest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/154440 and 35\/1152?\nAnswer: 2471040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p - 8 = 4*p. Let s be 1*(p + -2) - (3 + -3). Which is the nearest to s? (a) -0.1 (b) -3\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 - 13)*(-9)\/18. Let l(f) = u*f - 3*f + 2 - 4*f - 2*f. What is l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27915322 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -2*k**2 - 108783*k - 652618. Calculate l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -17 - 104.619648?\nAnswer: -121.619648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/7 in 0.1, -0.11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1935, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 + 23*a - 117*a + 28*a - 10 + 24*a + 33*a.\nAnswer: -9*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 24660827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -636 by 212.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5429.427 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 48 = -2*j, 46*f - 4*j - 32 = 48*f. Let a be 6*(0 - (-12)\/8). Let l be (-142)\/a + (-2)\/9. Is l less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28, -13, -10, -25, -64, -133, -238?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**2 + 5*w + 15. Let t be n(8). Let q(x) = -x**2 - 8*x + 15. What is the units digit of q(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/96 and 115\/528.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(4\/6)*28\/21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 347 - 344. Let i = -61 + 61.4. Put s, i, -4, 14 in ascending order.\nAnswer: -4, i, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 - 8. What is the second biggest value in 2\/9, p, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -2*h**2 - 11*h + 4. Is o(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 200, 2 in ascending order.\nAnswer: -3, 2, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (54*l + 176*l**5 - 54*l)*(-17 + 94 + 45).\nAnswer: 21472*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**3 - 435864*u**2 - 12201840*u - 85407392.\nAnswer: -4*(u + 14)**2*(u + 108938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 23662 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*j + 19*j - 14*j - 1 to p*j + a and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u + 6*u - 4*u)*(0 + 1 - 3) - 4*u + 4*u + 2*u + 175 - 175 + 87*u + 2*u - 2*u + 3*u + (-6 + 3 + 1)*(3*u + 2 - 2).\nAnswer: 88*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/741 and 53\/3?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the second derivative of -28*p**7\/33 - 56*p**6\/33 - 93*p**5\/110 - 3*p**4\/22 + 2063*p - 2. Determine y so that q(y) = 0.\nAnswer: -1, -3\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:03 AM and 9:19 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 2 = -1. Suppose -j*i + i + 4 = 0. Suppose 3*q - 3 = 0, -q + i = -u + 3*q. Is u smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*z + 2*c + 6 = -9*z, 3*z + 4 = -5*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 35*(-7)\/(-70) + -2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t**3 - t**2 + 3*t + 268. Let q be n(0). Let f = q + -126. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8509 = 16*q - 32493. List the prime factors of q.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -7 + 8 + -1 + 2. Is w greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 367115540.68 take away 0.3?\nAnswer: 367115540.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 12:50 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75164 is divided by 5363.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 87 and 1334.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of 2*y**6\/15 - 5*y**3\/6 + y - 5. Let d(l) be the first derivative of h(l). What is the second derivative of d(x) wrt x?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 43 + 18 - 70 + 34 + 77*n + 125*n in the form c*n + l and give c.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*s**2 - 8*s + 0*s**2 - 2*s - 9*s**2 to the form j*s + l + k*s**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the second derivative of l**5\/20 - l**3\/6 + l**2\/2 - 2*l - 16. Determine z(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.74488 millilitres in litres?\nAnswer: 0.00074488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 9*q**3 - 4*q**2 - 2*q. Let j(u) = -122*u - 11*u**2 + 34*u**3 - 8*u**3 + 117*u. Give 4*j(t) - 11*x(t).\nAnswer: 5*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 - 31*q**2 + 22*q + 245. Let c be j(30). Let y be (-2)\/(8\/6 - (c + -3)). Suppose 4*g = 3*g + 6. What is the greatest common divisor of y and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-5 + 0 - (-7 - 7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*b**4 + b**4 + 0*b**4)*((1 + 1 + 0)*(-3 + 3 - 1) + 1 + 2 - 4 + 0 + 4 - 3) to g*b**2 + m*b**3 + j*b**4 + w*b + u and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*i**2\/5 - 31588912*i\/5 + 63177808\/5.\nAnswer: 4*(i - 7897226)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 150 - 150 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.06 - 4.06. Let d = 4 - 9. Let w = g - d. Sort -4, -0.1, w.\nAnswer: -4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 636390.1km in centimeters?\nAnswer: 63639010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 410 and 420?\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i**2 + i + 2. What is l(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 589 is divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17307 - u**3 + 17307.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2.4 (b) -0.4 (c) -1 (d) 1 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.6915 - -52.6915. What is the second smallest value in b, -1\/5, -3, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(136)*1*1 + -1*sqrt(136)*-1))\/(5*(sqrt(800) - sqrt(800)*-3)*-5).\nAnswer: -sqrt(17)\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 199.20967 to one dp.\nAnswer: 199.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*j - 18*j + 35 = -y, 0 = -3*y + j + 2*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**2 + 6*s - 8. Let q be i(6). Let z = 10 + q. Suppose 22 = z*r - 4*j, 28 = 2*r - 5*j + 4*j. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -49*t + 310. Calculate q(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s**4 + 10248*s**3 - 6543316*s**2 - 26296368*s - 26337424.\nAnswer: -4*(s - 1283)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 - (2\/(-1) - -28). Let y = l + -21. Let j = y + 32. Which is smaller: -16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the second derivative of -11*o**5\/20 - 2*o**2 - 21*o. What is the first derivative of n(p) wrt p?\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -247 - -3773?\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 62.01041mm in centimeters?\nAnswer: 6.201041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**3 + d. Let a(q) = 10*q**3 + 4*q. Let s be 87\/7 + (-15)\/35. Let n(k) = s*w(k) - a(k). What is the second derivative of n(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2 + 0 - g + 6. Let b be (-4)\/2*2\/4. Let h be b\/(1\/3*-1). Determine d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 182675, 182703, 182743, 182789, 182835, 182875, 182903?\nAnswer: 182913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 92, 136, 176, 212?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the second derivative of j**6\/40 + j**4\/6 - 9*j**2\/2 + 9*j. Let v(z) be the first derivative of q(z). Find the second derivative of v(h) wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 293785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27, -38, -57, -84, -119, -162?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 297 divided by 6?\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-56)\/6*(4 - 1). Let g be 1\/(z\/(-104)) - 2\/(-7). Solve -2 + g = o, -2*b + 4*o = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 + 0 - (1 + -5). Let s be 122\/3 - y\/9. Let p = s + -21. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -10*p**3 - 2*p**2 - 2*p - 1. Let u be m(-1). Let f = 0 + u. Suppose 5*h - 20 = l, 4*h - 3*l = 26 + 1. What is the remainder when f is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/130 and 17.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 111 divide 4558739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 6*f**2 + 17*f + 80. Determine m(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.1, 40\/3, -6\/7, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gao. What is prob of sequence oa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the first derivative of u**3 - 1. Suppose -4*t + t = -6. Let h(q) = -3*q**2 - 3*q**t + 9*q**2 - 5*q**2. Determine g(h(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -4861*s**2 + 304*s - 99*s**3 - 2*s**4 + 11552 - 205*s**3 - 6689*s**2.\nAnswer: -2*(s - 1)*(s + 1)*(s + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 338 + 342 = j, 0 = v - 5*j + 39 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2)\/x*x**(2\/5))\/(x\/(x*x**(-4\/5))*x**(-1\/4)*x)*(x\/((x**4\/x)\/x))\/(x*x**(-5\/2))*(x\/x**4)\/(x**(-1\/7)\/x) assuming x is positive.\nAnswer: x**(-771\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/o**(1\/8)))**(-36)\/(((o\/o**19)\/o)\/o**33) assuming o is positive.\nAnswer: o**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -52 + 32. Let r = -1137\/4 + 284. Sort -2, i, r in descending order.\nAnswer: r, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/9 and 38\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**2 - 15*g + 7. Let c be z(-7). Suppose 32 = l + d - 31, l + 4*d = c. Let v = 80 + l. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 0.2, 4, 0.01, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 4*r + r - 2*q, -5*r + 30 = q. Suppose 9 = 8*g - r*g. Find the second derivative of -x + x**3 - g*x**3 - 3*x**3 wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/7, -89, 2, -0.1, -1 in ascending order.\nAnswer: -89, -1, -0.1, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 220.9066 weeks?\nAnswer: 37112.3088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the second derivative of -2\/3*k**4 + 0*k**3 + 0 - 7*k + 3\/2*k**2. What is the first derivative of v(x) wrt x?\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1940001 is divided by 358.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 2*s - 5*k + 2, -3*s = 5*k - 8. Calculate the lowest common multiple of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b**3 + 17*b - 8. Let o(m) = m**3 - 11*m + 5. Let i(f) = 13*f - 15 - 25*f + 4 + 13*f. Let v be i(6). Give v*j(s) - 8*o(s).\nAnswer: 2*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((a*(a**(-2\/45)\/a)\/a*a)\/a)\/a)\/a)\/(a\/a**(-8\/5)))**(-2\/89)*a*a**(-8)*a*a**(-1\/9)*(a**(2\/5))**43 assuming a is positive.\nAnswer: a**(4991\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1296494, 2592983, 3889472, 5185961, 6482450, 7778939?\nAnswer: 9075428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1629 - -3206. Suppose -5*m + s = k, -7*m = -3*m - 12. Suppose 4*z - k = -j, -4785 = -j + z + 2*z. Round j to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 291*v**2 + 6*v + 2. Let d(h) = -323*h. Determine d(o(l)).\nAnswer: -93993*l**2 - 1938*l - 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 AM and 3:54 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -1178124.9 to the nearest 1000.\nAnswer: -1178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*l**2 + 9*l**2 + 13*l**2.\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000012229102 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, r: 2, w: 1, b: 1, g: 2, j: 1}. What is prob of sequence jgg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(3\/(-8)*(-8)\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4383 or -4384?\nAnswer: -4384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7\/21862 + 40619547\/153034. Which is greater: 265 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a - a + 4*a + (0*a + 6*a - 4*a)*(-8679 + 2555 + 3323) in the form q*a + l and give q.\nAnswer: -5596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 252677099.\nAnswer: 252677099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w + 12. Suppose 7*j - 4*j + 78 = 0. Let y be 12\/8 + j\/4. Let l be k(y). Calculate the highest common factor of 63 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o - 13. Let t be z(10). What is the smallest common multiple of 16 and (30\/t)\/1*-2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 585 divided by 2.\nAnswer: 585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s + 2*s - 6*s + 63 - s - 9*s**2 - 57. Let m(t) = 17*t**2 + 13*t - 13. Give 6*m(o) + 13*r(o).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 8*k - 309. Give h(42).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6\/(-12))\/((-3)\/12). Solve -2*l + m = 0, 2*l - 1 = -4*r + l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7)\/2 + (-4)\/(-10)*5. What is the third biggest value in -2\/11, -8, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 337427300 to the nearest integer?\nAnswer: 18369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + 5*g - 5*g)*((2 - 3 + 2)*(1 + 1 - 1) + 1 + 0 - 2 - 1 + 4 - 2 - 4219 - 843 + 1359).\nAnswer: 3702*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 + -196811?\nAnswer: -196809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 3850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1697 and 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -266*f + 5057. Let a be b(20). Which is smaller: -226 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.245 times 0.3\nAnswer: -0.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1878503.\nAnswer: 11, 170773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -2*sqrt(1872) + (-1 + sqrt(1872))*-2 + sqrt(1872) + sqrt(1872) + 0 + 2 + -3)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 27810786, 27810793, 27810802, 27810813, 27810826, 27810841?\n\"Answer: d**2 + 4*d + 27810781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**2 + 21*h - 20 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -415 = 11*o - 1097. Suppose 0 = o*y - 68*y + 1134. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2892 less than 0.7?\nAnswer: -2891.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, j: 1, e: 2, s: 1, m: 5}. What is prob of sequence esc?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**2 - a - 1. Let o(q) = -q**2. Let u(w) = -h(w) - 3*o(w). Suppose f - 1 = 1. Let d(t) = -2*t + 4*t + 5*t**f + t**2 + 6. What is -d(p) + 4*u(p)?\nAnswer: -2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.781832 grams to tonnes.\nAnswer: 0.000002781832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 2*l**2 + 25*l - 95. Calculate b(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -6, 5, -1, 0, 943 in descending order.\nAnswer: 943, 5, 2, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2 (b) -206\/1163 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 854088881?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 - s**2 + s + 2. Suppose -2*u = -3*u. Let g be b(u). Suppose g*r = 4*r - 2, 3*p - 2*r = 64. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27750 is divided by 224?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.8, 0.2, -4, 4\/9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 9\/2*r + 0 + 3\/2*r**3 - 6*r**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -5*((-1 + sqrt(360)\/sqrt(8))*-4)**2*-3.\nAnswer: -1440*sqrt(5) + 11037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/7 + 75352*u\/7 - 21528.\nAnswer: -2*(u - 37674)*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 580338 is divided by 397.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 206 = 2*t, -3*t + 148 = -3*k - 116. Is 87 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2010638*d**2*j + 493*d**2 - 3*d - 189 wrt j.\nAnswer: -2010638*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 4749.481 years?\nAnswer: 474.9481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -71, 9, -3, -11, 5 in decreasing order.\nAnswer: 9, 5, -3, -11, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**2\/c**1)\/((c**(-18)\/c)\/c*c*c**(2\/9)) assuming c is positive.\nAnswer: c**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1400834.\nAnswer: 2, 17, 41201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 9*f**3 - 7*f**2 - 5*f + 18. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 547027\/2859 or 190?\nAnswer: 547027\/2859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2 - 8*c - 6. Let w(z) = -5*z**3 + z**2 - 1. Let t be -1 + 0 + 1 - -1. Let b be w(t). Determine n(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (8\/3)\/(20\/(-30)). Let r be -5*(x + 36\/10). Find the third derivative of o**6 + 3*o**2 - 6*o**6 + 6*o**r + 0*o**6 wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 97*p - 314 = -91*p + 1566 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 11 - 3. Let a(x) = -20501*x + 2. Let v be a(p). What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*f + 61*f + 8*f - 77*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*p = 2097*p + 272*p - 222509 - 38731 for p.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 310629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 4*h**2 - 3 - h**2 + 6*h + 6. Suppose -62 = -5*n + 78. Suppose -7*y = -3*y - n. Let o(t) = 5*t**2 + 11*t + 5. Determine y*f(c) - 4*o(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2357?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:02 AM and 1:57 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 260 and 100490?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -15*o**2 + 20*o + 16. Let f(u) = 3*u**2 - 4*u - 3. Determine 11*f(t) + 2*x(t).\nAnswer: 3*t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 939089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 524497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 25515\/567 + (-21 - -2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -286 or 37289?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 140 + 75 + (-4 - 253).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(297)\/(sqrt(99) - -1*sqrt(99)) - ((sqrt(54)\/sqrt(2))**2 + -3)*4)*-3.\nAnswer: -3*sqrt(3)\/2 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -583*w**2 + 5*w - 5. Let c(z) = -1734*z**2 + 16*z - 16. Let p(q) = -16*b(q) + 5*c(q). Let g(l) = 2*l. Give g(p(h)).\nAnswer: 1316*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 + 14. Suppose -3*q = 2*u - s*u - 12, 2 = 4*u - 2*q. Solve -h = h + 5*w + 30, 0 = -4*h - u*w - 32 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10\/9? (a) -19 (b) -2\/5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 150 = -270. Suppose 27 = 2*b - b - j, 4*b - j - 111 = 0. Let a = b + -13. What is the greatest common factor of a and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 9*o = 4*j - 25, -2*j = 4*o + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is t in -2*t**5 + 6*t**4 + 10*t**3 - 54*t**2 + 64*t - 24 = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -18, -14622.\nAnswer: -14622, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 3*x**4 - 2*x**3 + 9*x**2 - 2*x - 2. Let d(l) = l**4 + l**3 + l + 1. Let q(n) = 2*d(n) + o(n). What is the third derivative of q(a) wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0976703385 rounded to four dps?\nAnswer: -0.0977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3 (c) -474.9 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 2*s - 56. Solve -v = 4*i - 3*v - 14, 3*i = 5*v + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 + 7*w - 23. What are the prime factors of b(11)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {y: 1, u: 1, c: 3, f: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v + 5. Let c(u) = u + 1. Let k(h) = -3*c(h) + w(h). Let n be k(-2). Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(75) + 1))**2 + (sqrt(75) - -1*sqrt(75)*-6) + (-2*sqrt(75))**2 + 1 + -2.\nAnswer: 135*sqrt(3) + 1515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1339aa + -2?\nAnswer: 1339a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from {p: 6, e: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 23200?\nAnswer: -23202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 3*g - 9 = -4*o, g + 36 = 4*o. Let n = 62 - o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -8*t**2 - 4*t - 3. Let v(w) = -4*w**2. What is n(m) - 6*v(m)?\nAnswer: 16*m**2 - 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3432 - 6858 + 134*g**2 - 4*g**2 + 3426.\nAnswer: 130*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 117\/60055040 and 65\/375344.\nAnswer: 60055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 385, 753, 1121?\n\"Answer: 368*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 576 - 268. Let h = 780 - l. Suppose 3*c - 449 = h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -49 + 48.36. Round g to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1280412*i**2 + 2560810*i**2 - 1280422*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -9c + 22c?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1020 - 1019.8. Which is the smallest value? (a) -0.119 (b) v (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/4*86*1. Suppose -g - 5*t = -3*g - 19, 3*t + 103 = -4*g. Let j = g + v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the first derivative of n**3\/2 - 6*n - 1. Let c(q) be the first derivative of f(q). Let y(d) = 5*d**2. Calculate y(c(x)).\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the first derivative of 4*m**3 + 16*m + 11 + 1\/2*m**4 + 12*m**2. Factor a(t).\nAnswer: 2*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-u - u + 6*u)*(3 - 1 + 3) as b + h*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -18\/5*j - 2\/5*j**3 - 8\/5 - 12\/5*j**2.\nAnswer: -2*(j + 1)**2*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence su when two letters picked without replacement from {q: 7, s: 3, u: 7, j: 2}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from wwwvwmwkwwwwwwhwwhw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 - 3 - (-1 + 1). Let f(v) = -v + 27. Let w be f(u). Suppose 0*z - 3*z + w = 0. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z + 4. Let a be k(-2). Let d(v) be the second derivative of 11\/20*v**5 + 2\/3*v**3 - 1\/10*v**6 - v**4 + a*v**2 - 3*v + 0. Factor d(r).\nAnswer: -r*(r - 2)*(r - 1)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-154)\/(-10) - (-6)\/90*-6. Suppose -f*v + 206 = -124. Calculate the greatest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 243256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7.2 + -0.8. Let r = 8.024 + g. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -38*h + 43*h - w - 1, 8 = -2*h - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:13 AM and 12:51 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -5719396, -11438793, -17158190?\n\"Answer: -5719397*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15022, 15024, 15030, 15040, 15054, 15072, 15094?\nAnswer: 15120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.4 + 0.1. Let w = 0.2 - 0.1. Suppose -172 - 12 = -46*y. What is the nearest to w in -1\/4, d, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -102875, -205706, -308523, -411326, -514115, -616890?\n\"Answer: 7*t**2 - 102852*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2560 + -507. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/(((c\/(c*c**(-3\/16))*c)\/c)\/c))\/c**(-13))\/(c**(-6))**35)**(-4\/5) assuming c is positive.\nAnswer: c**(-3597\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - 63. Let l = a - -72. Put l, -2, -4, 1 in decreasing order.\nAnswer: 1, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**2 + 0*j**2 + 115 - 117)*((-3 + 0 + 5)*(2 - 5 + 1)*(-2*j**2 - 2*j + 2*j) - 2*j**2 - 2 + 2)*(1414 + 41*j - 1414).\nAnswer: 492*j**5 - 492*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -28*m**3 + 1. Let k be u(-1). Suppose -25*r + 24*r + k = 0. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 76, -458, -3, 3.\nAnswer: -458, -3, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2023 (base 4) in base 3?\nAnswer: -12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 2 = 2. Suppose -i = -2*b - 0*b + z, -5*i = -b - 4. Calculate the remainder when 2 + (3 + 13)\/i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-116)\/348)\/(3*(-1)\/(-3258)). Which is smaller: a or -367?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/4 (b) 9.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 + n + 3. Let r be u(0). Let c(t) = -t**2 + t + 11. Let o be c(0). Suppose q - o = r*a, -q - a = -5*q + 66. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -18.39071165 to 2 dps.\nAnswer: -18.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1892 and 1.2?\nAnswer: 2270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 + v - 2. What is w(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 106 + 28. Suppose f = -5*j + 6. Let y = j + 32. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*t + 93*t - 13355 + 12545 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1954 is divided by 1940.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1.7644 rounded to 2 dps?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = 4*a - 34 + 22, 3*a = 16*n + 38 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 34160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -712115 + 1040115. Suppose 3*v - 7*v + m = 0. What is v rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -977.5 and -693.\nAnswer: 677407.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 215458111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of 2*s**2 + 7. Give p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*h + 0 = 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * -11079.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 5*s**2 - 1648*s - 21600. Calculate f(-13).\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/18)\/(30\/(-20)) + 20 + 4160\/180.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 0.3, 0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -297, -5, -1, 8 in decreasing order.\nAnswer: 10, 8, -1, -5, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 5*h + 5*a, -6*a + 2*a + 4 = 0. Suppose 0 = -12*c + h*c + 420. Let t = c - 63. Let w(k) = -k + 5. Give w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 4 = l. Let i be 2\/(12\/8 - l). Let g be 1\/i + 90\/24. Solve 0 = -g*r - 0*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.103139 + -69\nAnswer: -68.896861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-6*(sqrt(567) - (sqrt(567) + 3 + sqrt(567))) + 1*sqrt(847) + -4 + 1)**2*-4.\nAnswer: -715200 - 46800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 351 - 349. Differentiate 29 - i**t + 3*i**3 + 64 - 160 with respect to i.\nAnswer: 9*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 - 403530*h - 8878107. What is c(-22)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 176402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -1948*q + 74020. What is w(38)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 580 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -33.43 times 0.4\nAnswer: -13.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*g**3 - 6*g**3 - 4*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 47 + -46. Let o(r) = -r - 5. Suppose -4*l + 0*l = -2*h - 14, h - 5 = -2*l. Let m(p) = 1. Let v(k) = b*o(k) + h*m(k). Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 945.2746 tonnes?\nAnswer: 945274600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 747644.8 or 2?\nAnswer: 747644.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = 3*f + 3*q, -25 = -11*q + 6*q. Let b = -442 + 667. Suppose -z + b = 3*d, -d + f*d + 472 = 2*z. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p - 3. Let v be j(-7). Suppose 3*f - v*f - 4000 = 0. Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 + (-31 - (-29 + 13 - (-16 + 5))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the third derivative of 27*z**8\/56 - 816*z**7\/5 + 225622*z**6\/15 + 201824*z**5\/15 + 11236*z**4\/3 - 365*z**2 + 1. Suppose v(o) = 0. Calculate o.\nAnswer: -2\/9, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {f: 9, u: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 936 and 91312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**2)**(-13\/6)\/(v**(1\/5))**28)**(2\/123) assuming v is positive.\nAnswer: v**(-121\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (9 - (15 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + 24. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44.1 + -44. Let i = -4 - 1. What is the nearest to -0.1 in i, 1\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -248362, -993384, -2235086, -3973462, -6208506, -8940212?\n\"Answer: c**3 - 248346*c**2 + 9*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 127 by 382.\nAnswer: 127\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -27*j**2 - 123*j - 126.\nAnswer: -3*(j + 3)*(9*j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1b884a (base 14) to base 10\nAnswer: -983986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p - 3. Let s(t) = t**3 + 24*t**2 - 16*t + 6. Give -2*n(h) - s(h).\nAnswer: -h**3 - 24*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-85)\/20 + 4 - (-91)\/28. What is the third derivative of -14*o**3 - 35*o**3 + o**r - 6*o**3 - 40*o**2 wrt o?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 38100 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b - 2758 + 91 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20212221 (base 3) to base 16.\nAnswer: -139c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**2 + 3*j**2 + j**2)*(11*j**2 - 49*j**2 + 22*j**2).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -7*b**3 + 2*b**2 - 1. Let c be r(1). Let n be ((-6)\/10 + -1)\/(c\/15). Solve f + k - 2 = 4*f, 0 = n*f - k + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 4*q + 16 = 0, -x - 3*x + 20 = -4*q. Suppose -1 = -f - x, 2*p + 255 = -f. Calculate the remainder when 7\/(p\/(-240)) + (-4)\/(-6) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*m + 45*m + 28 = -4*g, 5*g + 60 = -5*m for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -259750.\nAnswer: 1\/51950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -2*j**2 + 21*j - 38. Let l be o(8). Which is the nearest to 0.1? (a) -1\/2 (b) 54 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 406366?\nAnswer: 2, 203183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**2 + 28*g - 90. Let x be 4848\/(-1414)*(-7 + 0). Determine w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2602 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43 - -95. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/41))**(1\/16)\/((c\/c**(-12))\/c**(-28)) assuming c is positive.\nAnswer: c**(-26897\/656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3275 and 43623?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16591 is divided by 1273?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1559, 2984, 4407, 5828, 7247?\nAnswer: 8664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p**3 - 61161*p**2 - 305774*p + 366936 = 0. Calculate p.\nAnswer: -61156, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 7*y**2 + 4*y - 14. Let s = 166 + -164. What is the remainder when 0 + -41*(1 + -2) is divided by g(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 5:58 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -60778\/3 + 20259. What is the second biggest value in 1\/7, -354, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 39 = 7. Suppose d*l - 216 = 24*l. What is the remainder when 42 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1033688671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from wbbtwtbwwwb.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 136 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 6642080 divided by 32\nAnswer: 207565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -32935, -65456, -97549, -129208, -160427, -191200?\n\"Answer: m**3 + 208*m**2 - 33152*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - b + 0*b)*(-12 + 7 + 2 - 15).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((84\/805)\/(-3))\/(378\/315).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/5)\/(12\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/((-8)\/(-2)))\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 301, 5, 0, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ssggsggg.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2098 + -20981\/10. Which is the closest to -1? (a) 4 (b) 1\/5 (c) i (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22385 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of p**4\/6 + 342*p**3 + 197633*p**2 + 1182722*p\/3 - 8698. Factor r(t).\nAnswer: 2*(t + 1)*(t + 769)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (4*(-5)\/10)\/(72\/(-105)) and 27\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/((r\/r**0)\/r)*r\/(r*r\/(r\/((r\/r**(-5))\/r)*r))*r*r**(7\/2)*r**(-2\/21) assuming r is positive.\nAnswer: r**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is (-130)\/(((-322)\/(-714))\/(-23)) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - (-3)\/1 - 0. Suppose 0 = -2*s, -7*n - b*s + 104 = -3*n. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4472)\/(-40))\/43*(-20)\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 8*k = -a - 551, 0 = -5*k + 4*a + 902. Solve -445*p + k = -476*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3622770 is divided by 144909?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5d0 + 89?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 + 2 + 3*a**2 - 4 to k + t*a**2 + q*a and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 738 is divided by 199.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -7*l + 4*s, 60*l + 9*s + 67 = 29*l + 32*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 497368*a**2 + 2922021*a - 94 = 0.\nAnswer: -47\/8, 2\/62171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*u**3 - 117*u + 117*u.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3 - 150*r**2 - 144*r + 296.\nAnswer: -2*(r - 1)*(r + 2)*(r + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 102834 = 1600*g - 135*g + 303*g for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200*v**2 + 51*v**2 - 15*v**2.\nAnswer: -164*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/2*15\/30. Suppose 2*a + 4*g - 72 = 0, 5*a - g - 158 + 33 = r. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tzzz when four letters picked without replacement from {z: 13, j: 2, t: 5}.\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 - 14*j + 17. Let y be u(12). Let c(o) = o**2 + 12*o + 16. Let s be c(y). Let h = s - -26. Solve 3*b = n - b + 13, 4*n = b - h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -57 (base 12) to base 15\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.2 - 0.56005388\nAnswer: -0.36005388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 - 12)\/((-3)\/((-54)\/(-1))). Suppose 0 = -g + r + f, -660 = 12*g - 16*g + r. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 67 (base 9) to base 7.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 43, 2, -3, -5, 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5\/((-460)\/8) + (-2)\/(2024\/(-341)). What is the closest to -0.1 in q, -104, 0.4, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 141502182.\nAnswer: 2, 3, 23583697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -18 times -42\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 159990 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1965*f = -1961*f - 216. Calculate the least common multiple of 2502 and f.\nAnswer: 7506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 2\/3 (b) 57\/5 (c) -5 (d) -0.5 (e) -234\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5.9 + -3.9. What is the nearest to -0.1 in -5, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -376738.\nAnswer: -376738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -3*v + 3. Let t be (18\/(-8) - -2)\/((-2)\/24). Let z(m) = -2*m + 1. Calculate t*n(f) - 5*z(f).\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -6. Suppose -10 = -3*n - 2*n. Suppose u = n*g - 5*g. Which is smaller: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-8)\/6)\/((-2)\/69). Suppose f - d = -f. Suppose f = -0*b + b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.116074 in -0.06, 1\/3, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*i**2 + 5 - 41*i - 3 + 40*i - i**4 to the form b*i**2 + y*i**4 + f*i + x + s*i**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -233.4596947 to the nearest integer.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1601 - 20*s - 445*s + 1602.\nAnswer: -465*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000044194 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 2 = -4*n + 14, 3*o = n + 17. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3591513 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*r = 0, 2*r + 0 = 4. Let k(a) = -6*a**3 - 2*a**2 + 1. What is k(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-101)\/(-3838) + 4185\/(-190).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5573 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 402048.9 millennia in years?\nAnswer: 402048900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -7529087.63 + -33?\nAnswer: -7529120.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 668 and 370907.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11294*q + 11294*q + 4*d - 12, -4*q - d = 53 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 36949633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 3*u**3 + 4*u**2 + 2*u + 69. Is p(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j = -4*j - 54. What is the remainder when 51 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 102\/5 - 16\/40. Let q = -19 + h. Calculate the least common multiple of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.9 + 2.98. Let f = y + 0.38. Let k = f + 0.24. What is the closest to -2 in 1, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from bcfbbfbbfbfabkbcbf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 - 20*h**2 + 19*h - 27. Suppose 42 = -692*o + 690*o. Calculate the remainder when 44 is divided by p(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - 2*i**2 + (-2 + 4 + 7)*(-2*i**2 - i**2 + 5*i**2) + (-5*i + 3*i + 3*i)*(-3*i + 3*i + 2*i) - 20*i**2 - 98*i**2 - 72*i**2.\nAnswer: -172*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3 - 2)*(-1)\/5. Let y be ((-6)\/8)\/(g\/12). Let q = 13 + y. Solve -l + q = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7095\/285 - 25) + 132\/(-190).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65585 is divided by 135?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 43673.65ml in litres?\nAnswer: 43.67365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8136665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((-6*(sqrt(143) + (sqrt(143) - sqrt(143)*2)))\/sqrt(11)*6 - (sqrt(130) - 2*(sqrt(130) - -1*sqrt(130)))\/(sqrt(40)\/sqrt(4)*5))**2.\nAnswer: -468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6694 - 1199. Suppose 0 = 2*z - k - 683. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.25 + -0.25. Let u = -20.816 + 20.3. Let q = -0.016 - u. What is the nearest to 0.1 in p, -0.03, q?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 117, 393, 841, 1461?\n\"Answer: 86*s**2 + 18*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 101 (base 5) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 + 2*a**2 + 9*a + 66. Suppose 9*m + 16 = 5*m. Let c be l(m). Sort -5, -17, 2, c in ascending order.\nAnswer: -17, -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8.9 - 9.2. Which is the fourth biggest value? (a) 1 (b) -2 (c) k (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 167613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 20\/113 and -91\/4.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684) + 0)*3.\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 11\/2847, -11, 0.022 in ascending order.\nAnswer: -11, -0.2, 11\/2847, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20 + 13*s + 40 - 18)*(-2 + 13*s**4 + 2).\nAnswer: 169*s**5 + 26*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*c + 5*m, 4*c - m = -2*m + 1. Let f(p) = 11*p - 1 + 5 - 6*p**3 + 8*p**2 + c*p + 7*p**3. Determine f(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 88\/5 of a millennium?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (2*(-2)\/(-10)*-5)\/((-660)\/(-330))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 19081 - 7932. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -132636 or -132643?\nAnswer: -132636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-36) + 80\/9. What is the greatest common factor of 36 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4.248*0.6.\nAnswer: -2.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = s - 105, 3*y - 355 = -3*s + 8*y. Let b be (3 - s\/35) + (-560001)\/(-7). Round b to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -1*-6*sqrt(57)\/sqrt(3) + (2*sqrt(475))**2*2 + ((sqrt(475) + 0)*3)**2 + sqrt(475))*-3.\nAnswer: -24228 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5090923?\nAnswer: 5090923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 253875 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2, 1, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -2*d + 2*c, 0 = d + 11*c - 6*c + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 + 7*l. What is the smallest common multiple of 18 and o(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, i: 1, r: 1, w: 2, g: 1, k: 1}. What is prob of sequence wgir?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 129062 - 2*w**3 + 5*w**2 + 3*w - 129064 - 4*w**2 + 3*w**3 to the form g*w**2 + o*w**3 + a + m*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 + 5*t - 102. Let c(k) = -9*k**2. Determine r(c(f)).\nAnswer: 81*f**4 - 45*f**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - -334?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 170933, 341495, 512057, 682619?\n\"Answer: 170562*k + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -16*u**3 + 145*u**2 - 2*u + 10. Let l(p) = 32*p**3 - 291*p**2 + 4*p - 17. Determine -3*l(s) - 5*v(s).\nAnswer: -16*s**3 + 148*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*u + 51 + 55 = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 84 = -28078*j + 28082*j, -3*j - j + 46 = -i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1069, 2145, 3233, 4333, 5445, 6569, 7705?\nAnswer: 8853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1991 + 0*z - 8*z + 2675*z**2 - 2682*z**2 - 4*z - 2*z wrt z?\nAnswer: -14*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1988 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -12*t**2 - 2. Let h(k) = 25*k**2 + 5. Let c(r) = 2*h(r) + 5*m(r). Let y(w) = 6*w + 5*w + 7*w - 20*w. Determine c(y(v)).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*x + 2*g - 18, -4*x + 13 = -201*g + 204*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes before 11:13 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83 - 2*w + w + 43.\nAnswer: -w + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6481539 and 11583?\nAnswer: 926860077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(143)\/(sqrt(22)\/(sqrt(2)*1)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 9*m**2 + 12*m + 20. Let o be p(-5). Let r = o - 40. Calculate the remainder when r is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 44 - 4. Let s = 40 - j. Solve -5*d - 25 = -s*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -41 + 76. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 372 divide 808559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -2*k - 5*a + 131, a = k - 41. Calculate the remainder when k is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38074200 divided by 15.\nAnswer: 2538280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 l, and 2 q when four letters picked without replacement from {p: 1, q: 5, m: 2, l: 2, g: 2, u: 1}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/((i\/i**(-1\/2))\/i))\/i*i)**14\/(i**11\/(i**(-10)*i)) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ippjijvo. Give prob of sequence vj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 2*p = -0*h - 1, 2*h = -2*p + 20. Suppose -h*c = -4*f - 3*c + 48, -4*c = 16. Solve f*k = 3*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2158424783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(1\/9) + 34568\/(-3944).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*y - 19 = -10*g, -388 + 383 = y + 4*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -131191, -259941, -386249, -510115, -631539, -750521?\nAnswer: -867061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 82 + 3 + 3 + -21 + -8 + 28.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(7) + 0)*5)**2.\nAnswer: -100*sqrt(7) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 + 7*b**2 - 3*b - 13. Determine h(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 + 4. Let w = 2 + x. Do w and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 1)*(w**2 + 4 - 4)*(-w - 1 + 1).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 353499167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -34 + 38. Suppose -6*x = -x - 5*v - 45, x - 2*v = g. Let q(n) = n**3 - 3*n**2 - 5*n + 4. Let b be q(x). What is b rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 != -1151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002146673673 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 19 = -m, 71*m - 66*m = y + 103. Solve -4*o = -40*u + 41*u - 11, o + 5*u = -m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4348036 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -402100 - -402098.7114712. Let f = j + 1.288. What is f rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -57 - -56.9. Which is the nearest to j? (a) 4 (b) 1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -11*t**2 - 20*t - 27. Let o(j) = -13*j**2 - 22*j - 28. Let a(f) = 5*o(f) - 6*r(f). Is 12 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/35 less than -1611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = -9 + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of 0*s**3 + 1\/70*s**7 + 0*s - 1\/15*s**5 + 0 + 0*s**4 + 0*s**6 + s**2. Find the third derivative of b(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 69 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 595333 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7830 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + b - 4*h + 4 = 0, -84*h + 82*h = 61*b - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m + 2*k = 6, 4*m = 3*m - 2*k + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**3 - d**2 + d + 15. Let o(n) = -n**3 - 2*n**2 + 2*n + 4. Let a be o(-2). What is the least common multiple of 12 and x(a)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -g**4\/5 - 12497*g**3 - 1998277*g**2\/5 + 2735373*g - 21358926\/5 = 0. What is g?\nAnswer: -62453, -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -15, -1253, 4, -74, 0 in increasing order.\nAnswer: -1253, -74, -15, 0, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 43 and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-6*(0 + sqrt(425))*6)**2 - (5 + (sqrt(425) + -1)*6 + 3)**2) + -1.\nAnswer: -120*sqrt(17) + 1637095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -173\/9 (c) -0.2 (d) -9.7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - n - 1406 = 0, -4*n + 676 = 5*d - 3*d. Suppose o = 2*o - 140. What is the greatest common divisor of o and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*w + 7*w - 8*u - 641, -667 = 3*w - 5*u. Is w equal to -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 191506420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2399743967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -204144 (base 6) in base 8?\nAnswer: -40140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -165247*u - 3965928. Determine c(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3599 - 11741 = 295*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 11*w. Let r be m(-4). Let l = r + 79. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -30.36515+-369.6\nAnswer: -399.96515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of 5*n**4\/12 - 43*n. Let k(h) = 3*h**2. Calculate t(k(q)).\nAnswer: 45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 56135938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 + -9. Let z(g) = -2*g**3 + 3*g**2 - 3. Let r(m) = -3*m**3 + 7*m**2 + m - 5. Let s(l) = i*r(l) + 5*z(l). Is s(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5185 or 1?\nAnswer: 2\/5185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 222 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 5320.749 days to weeks.\nAnswer: 760.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 2*m - 0*m - 6, -3*m = -4*b - 11. Let w(c) = -c**2 + 2*c - 3. Let o be w(3). What is the units digit of (-46)\/(-6) + b\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99)\/(-1*sqrt(9)) - ((sqrt(11) + sqrt(11) + -4*1*sqrt(11))**2 + sqrt(11) + sqrt(11)))*-5.\nAnswer: 15*sqrt(11) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = x + x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22176 and 168?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/15 + (-592)\/10. Let c be -2*(f\/2 + 3). Let a = c - 38. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/s**(-2))\/((s*s\/(s\/s**(-5))*s*s)\/s)*s**(-5)*s**(-1\/23))**1)**(3\/2) assuming s is positive.\nAnswer: s**(33\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6399 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - (2 + -3))\/((-1)\/(-7)). Let o(j) = -j + 8. Calculate o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -25*r**3 - r - 1. Let c be t(-1). Let j = -18 + c. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1920)\/90*38\/912.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 21147546192665 + 0.1.\nAnswer: 21147546192665.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - 111001010101?\nAnswer: -111001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000062621116 to seven decimal places.\nAnswer: -0.0000626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 4, z: 1, x: 2, b: 7, n: 2, v: 1}. Give prob of sequence zf.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010010 + -11000010001?\nAnswer: -10100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -30*b**2 - 34*b + 206. Let k(i) = -10*i**2 - 12*i + 69. Let f(t) = -4*j(t) + 11*k(t). Is f(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t**5*t)\/(t\/(t**(16\/7)*t)) assuming t is positive.\nAnswer: t**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the third derivative of h**8\/1680 + h**5\/60 - 2*h**3\/3 - 3*h**2. Let f(a) be the first derivative of z(a). Find the second derivative of f(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1235 divided by -5\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*a = -6*a - 8. Suppose 0 = -a*p + 4*f + 535 + 21, 2*p - 556 = 3*f. List the prime factors of p.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 351 + -318. Sort 2, 0, y, -1 in ascending order.\nAnswer: -1, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -0*q + 10. Suppose -1 = -v - 5*g, -4*v + 4*g = -2*v - 44. What is the lowest common multiple of v and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 373089725 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -3*m**4\/7 + 30*m**3 - 5499*m**2\/7 + 9120*m - 277248\/7 = 0.\nAnswer: 16, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1179 - -333. Let i = x - -849. Factor -m**i - 3\/2*m**2 - 1\/4*m**4 - 1\/4 - m.\nAnswer: -(m + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 106 - 40. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21 - -36. Suppose c + 1 = -4*h + n, 4*c - 20 = 2*h. What is the derivative of 0*k - 2 + c*k - k wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-7)\/l)**(-39)\/(((l*l**(-3)*l)\/l)\/(l\/l**(-9)*l)) assuming l is positive.\nAnswer: l**325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -121\/80 - -13\/40. Find the common denominator of 43\/128 and y.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the third derivative of -1\/9*a**3 + 0*a + 1\/72*a**4 - 1\/360*a**6 + 8*a**2 + 1\/90*a**5 + 0. Factor k(x).\nAnswer: -(x - 2)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 3*k + 3*k)*((4 - 3 + 1)*(1 + 15 - 6) + 2 + 2 - 2)*(57*k**3 + 6*k**2 - 6*k**2).\nAnswer: 2508*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*a - 14*a - 528 = 47*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.12, 5, -4\/13, 3.9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (183 - 183 + 13*p**2)*(-4*p + 12*p + 0*p) to j + o*p**3 + s*p**2 + i*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 61\/6 - (-3)\/(-18). Suppose -3*o + 4*r - 13 = -6*o, -4*o = -2*r - z. Find n such that 0*n - 2\/9*n**o + 0 + 2\/9*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 0*l = 3*b + 5*l - 15, 0 = 266*l + 358 - 624 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -164*m + 3439. Give k(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**3\/h*h**(1\/3)\/h*h*h**(-5\/4)*h*h*h*h**(-4\/7) assuming h is positive.\nAnswer: h**(295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*p = -52 + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -66026792*w**4 - 391619307*w?\nAnswer: -792321504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 + 0.2. Let s = h + -4. Sort s, 2\/15, 3 in ascending order.\nAnswer: 2\/15, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*s - 4*s + 5*s + 2*s**2)*(-1 - 2 + 1)*(3*s**2 - s**2 - s**2)*(0 + 8 - 3)*(-26 + 36 + 15) to the form o*s + q + i*s**4 + x*s**3 + b*s**2 and give i.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9854905.\nAnswer: 5, 797, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -2*l + 2. Suppose 2*q = -3*q - 30. Let s(k) = 16*k**3 + k - 2. Let d be s(1). Let h be q\/(-9) - (-80)\/d. What is y(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-25))\/((-36)\/(-630))*69*(-3)\/63\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-959 + 453 + 996)*(-35*t + 16*t - 28*t).\nAnswer: -23030*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -4*m + 5*m, 2*m + 4*l - 18 = 0. Suppose 8*v = m*v + 135. What is the greatest common factor of 243 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10.07 - 10. Let k = 3.07 - l. Let h be ((-6)\/5)\/(9\/(-30)). Sort h, k, -0.5 in increasing order.\nAnswer: -0.5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 708687 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: What is the square root of 357946577 to the nearest integer?\nAnswer: 18919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 161\/120 and -11\/2722.\nAnswer: 163320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*j**4 - 4*j**2 - 37419*j - 33345466 wrt j.\nAnswer: 40*j**3 - 8*j - 37419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -23 - -23.2805. Let b = -0.32 + u. Round b to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*u + 56*u + 46 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7945, -7943, -7941, -7939?\nAnswer: -7937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*c - 51797*c**3 - 2*c + 13*c.\nAnswer: -51797*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-114)\/(-95))\/(3\/10). Is (-2 - 12\/(-3))\/(a\/1706) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 187481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 1*(5 + (1*(2*sqrt(33))\/sqrt(11))**2 + (sqrt(192)*1 - (sqrt(48)\/sqrt(4))\/sqrt(4)) + -3).\nAnswer: 7*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 174.3 + 0.7. Let h = -174.9 + t. Let f be (-7)\/(-9) + -1 - 0. What is the nearest to -0.1 in -2, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r = 5*n - 366, -31*n + 4*r + 111 = -30*n. What is the remainder when 1325 is divided by n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 + 7*k**2 - 8*k + 6. Let t be c(-8). Suppose -3*j + 5*j = x + 1, -t = 2*x. Put -2, 0, j in decreasing order.\nAnswer: 0, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -113, -443, -963, -1673, -2573, -3663?\nAnswer: -4943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (48 - 50) + 27 + -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-44901)\/(-44901))\/(137\/3*-1)?\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 12aa9 (base 12) to base 14\nAnswer: 9561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*o**2 + 7901 - 7901.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bwpbbbprllwpwrb. What is prob of sequence wb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-2 + (sqrt(63)*-2)\/sqrt(9)).\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3 - (-6 + 9 + 1) - -10*4. Sort -9, -6, g, -1 in descending order.\nAnswer: g, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -3*t**3 - 494*t**2 + 205*t + 6752. Calculate h(-165).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*j + 13236 - 13218, -2*l - 2*j = -8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -3*-2*sqrt(243)*1 - 1*(sqrt(1728) + -1)*-4)**2*5.\nAnswer: -6000*sqrt(3) + 337580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/(-2) - ((-31500)\/(-7770) - (1 + -5))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 34 - 16 = 0. Let c be 72\/(-30)*j\/4. Let u(p) = 2*p**2 - 8*p + 9. Is u(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 + -5. Let c = h + 0. Suppose 2*n - 5 = -4*u + 19, -3*n + 24 = 3*u. Calculate the smallest common multiple of c and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*f**4 + f**3 + 5616*f**2 - 5616*f**2)*(3 + 5 - 3) in the form x*f**3 + r*f**4 + w*f**2 + q + h*f and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000138755048 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - 44) + 2 - (3 - -5 - (6 + 12)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = 9*o - 13, 18 = 4*o + 106*a - 108*a + 44 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -11, -8.17, 128?\nAnswer: -8.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 359 = 4*n - 25, -3*g + 3 = 0. Suppose 4*k + 68 = -4*i, 5*i + 4*k + n = 9*k. Is -10 - -12 - (i - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2266 + -791. Is q a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 3*j - 901 = -4*w, -714 = -4*w - j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -5 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 256228 and 504.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.1 - -8.1. Let x = 6.5 - a. Let s = 1104 - 1106. What is the third smallest value in -0.13, s, x?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -115 + 119. Suppose -2*f - 113 = -3*v + 742, v - 285 = m*f. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128) + (-1 + (sqrt(128) - sqrt(128)*-1) - sqrt(128)) - (3 + 1 + sqrt(128)) - ((sqrt(128) - (sqrt(128) + 3 - sqrt(128)))*-2 + -5))**2.\nAnswer: -288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(2\/29)*j\/(j**(1\/16)*j))\/(j**(4\/5)*j*j*j**(-1\/3)\/j*j) assuming j is positive.\nAnswer: j**(-17123\/6960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -11*s**2. Let o(q) be the first derivative of 2*q**3\/3 - 46*q + 660. Determine o(a(p)).\nAnswer: 242*p**4 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**2 + 4*i - 7. Let h be r(-5). Let s be 37 - 3*h\/3. Suppose -5*x = -4*c - 123, -2*c + s = 3*x - 48. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11011000001 + -1000010101011101?\nAnswer: -1000110000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 17112957451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 22 = 4. Let a = s + -48. Let m = 23 + a. What is the nearest to m in 0.4, 1\/3, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1798852, 7195450, 16189788, 28781866, 44971684, 64759242?\n\"Answer: 1798870*b**2 - 12*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 0.11505, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/172 and 31\/28.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -320, -306, -312, -344, -408?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(6*(sqrt(1008) - (sqrt(1008) - (sqrt(1008) + -2))))**2.\nAnswer: -6912*sqrt(7) + 145728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 29, 5879, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -7844169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 666131, 1332239, 1998347, 2664455, 3330563, 3996671?\n\"Answer: 666108*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*r - 238477162806576 - r + 238477162806576.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**3 - s**2 + s + 14. Let f(v) = 25*v - 96. Let n be f(4). Suppose 5*c - 2*l - n = 3*c, 10 = 3*c - 5*l. Determine j(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-5 - 4\/(-6))*(-2 - 1). Differentiate d - 5*d - c - 7*d + 10*d wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 90*m**3 - 48*m**3 - 41*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 2*b - 5. Let s be w(7). Suppose -s*h = -11*h - 8. Let p be h\/(-6) - (-10)\/(-15). What is p rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 920550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 87 - 89. Let f = -293\/5 - -58. Which is the nearest to f? (a) -2\/21 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yniouiioono. What is prob of picking 1 u and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -144343 (base 5) in base 9?\nAnswer: -8474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -8173, -8117, -8061, -8005, -7949?\n\"Answer: 56*b - 8229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-8)\/(-52) - 9050\/13. Let z = 1159 + x. Let t = -168 + z. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121255 smaller than 121253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6570, 26288, 59152, 105162, 164318, 236620, 322068?\nAnswer: 420662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4464 + 0?\nAnswer: -4464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + y**2. Suppose 73*h = 88*h - 900. Let a be 4*-5*(-3)\/h. Let r(p) = p**3 - 2*p**2. Determine a*r(w) + 2*j(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 10*a**3 - 2*a**2 - 4*a - 2. Let h be w(-2). Let n = h - -117. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 256 = 2*h. Let r be (15\/(-10) - -3)*h\/(-3). Calculate the highest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23665.\nAnswer: 5, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 5, -3\/4, -0.048, 3, -2 in ascending order.\nAnswer: -2, -3\/4, -0.048, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*m - 5565644*m**3 - 5*m + 5565662*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, f: 1, l: 3, b: 7, v: 3, a: 3}. Give prob of picking 1 m and 2 b.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*q**2 + 30 + 16 - 17 + 458358*q**3 - 460668*q**3 wrt q.\nAnswer: -13860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 860138158*p*y**2 + 543*y**2 - 69625*y wrt p?\nAnswer: 860138158*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 2)*(3*p + 2*p - 6*p) + 2 + 2*p - 2 - 2*p + 4*p - p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from {s: 1, f: 2, u: 6, e: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w**4\/3 + 3958*w**3\/3 - 27772*w**2\/3 + 21176*w - 15888 = 0. Calculate w.\nAnswer: -1986, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59 + 57 + 2814*q - 116.\nAnswer: 2814*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184*m - 266 = 165*m. Solve m = 5*c - 2*i - 11, 3*c - 7*i - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -2*t. Suppose t = -0*b - b - 6. Let h(z) = 5 + 0*z - 7*z + 15*z - 6*z - 3*z. Give h(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14 and 48629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yxddyviixxdidxxddii. What is prob of sequence vy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * 137399\nAnswer: 68699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p**2\/11 - 618*p\/11 - 16740 = 0.\nAnswer: -186, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -1517, 57, 3, 0.036.\nAnswer: -1517, 0.036, 0.1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/117214 and -31\/42675.\nAnswer: 8791050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146*r = 149*r - 1668. Is r not equal to 555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-180)*16*(-6)\/8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**2 - 6*v - 1. Let o be y(-5). Solve -4*z - o*g - 3 + 11 = 0, 0 = 4*z - 4*g - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 343318 and -51496317?\nAnswer: 51839635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q**2 + 64*q - 1752. Determine l(18).\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/(s*s\/s**(4\/5))*s*s)*s)\/((s\/(s\/((s*s*s\/s**2)\/s)))\/s))**(2\/55) assuming s is positive.\nAnswer: s**(12\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4632 - -51456. What are the prime factors of j?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**3\/4 - 1570023*u**2\/2 + 616242270120*u + 1232487680288.\nAnswer: (u - 1570024)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -165.798 + -0.202. Let c = z - -107.5. Round c to 0 decimal places.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51085 is divided by 12756.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54854.\nAnswer: 2, 27427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be -4 + (-2 - -4) - -1. Suppose 0 = -o - 2. Let f = o - v. Which is greater: -3\/4 or f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 0.009, 12\/2417, -0.11, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6? (a) 16 (b) -3 (c) -0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.3 (b) 1 (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 657*h*s*u**2 + 2*s*u - 168*u**2 wrt h.\nAnswer: 657*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 7*o + 2. Suppose -3*m - m + 16 = 0. Let p(k) = k + 2. Let w(l) = -l + 3. Let h(r) = 2*p(r) - w(r). What is m*c(f) - 9*h(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -503*l**2*t**4 - 2*l**2*t**2*x - 175*l**2*t*x + 9*l*t**5*x - 5*l*t**2*x - 2*l*t*x wrt t?\nAnswer: -12072*l**2*t + 540*l*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 5 - h)*(1 - 1 + h)*(4 - 7*h + 4*h + 7*h + (h + 3 - 3)*(0 + 2 - 3)) in the form j + k*h**3 + b*h + t*h**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -323072614*i**4 + 185034039*i**2 wrt i.\nAnswer: -7753742736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -128*h + 453 = 69. Solve 36*w - 31*w + 11 = h*a, 4*a = 5*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*v**3 + 0*v**3 - 3*v**3 + (4*v**2 - 2*v**2 + 0*v**2)*(-v + 3*v - 4*v) + 0*v**2 + 2*v**3 + 0*v**2 - 4*v**3 - 4 + 4.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*v + 42 + 75. Let s be 91*(-3)\/(1*-3). Calculate the highest common factor of v and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 141175 = 4081*k - 87361 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:03 PM and 6:41 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3427*u + 3*u**2 - 3427*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 158 = -32*g + 34*g. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 658 + -386. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the second derivative of -155*v**3\/6 - 94*v. Let z(m) = 2*m**2. What is z(f(o))?\nAnswer: 48050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1975 - 1975.08. What is the nearest to -2\/15 in -0.5, -6\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8951012 tonnes in micrograms?\nAnswer: 895101200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 108552150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(2\/13)*f*f**(3\/17)*(f\/((((f\/(f**(-8)\/f))\/f)\/f)\/f))\/f*f*f*f\/(f*(f*(f*f*f\/(f\/f**(-2\/19)))\/f)\/f)*f*f assuming f is positive.\nAnswer: f**(-10768\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.4561 * -6\nAnswer: -2.7366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (d**2 + 2 - 2)*(108*d**2 + 4067*d - 4067*d) to the form t*d + i*d**3 + p*d**4 + c*d**2 + f and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*j - 4*j - 3*j - 10*j - 14*j - 16*j + (0 + 0 + 1)*(3*j + 2*j - 6*j) - 5*j + 31*j - 16*j + 0*j + j - 2*j + (j + j - j)*(4 - 4 - 2).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**2 - 2*a. Let o(b) = -10*b**3 - 2*b**2 + 5*b + 9*b**3 - b**2 - b**2. Let v(u) = 2*o(u) + 5*s(u). What is c in v(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -750 * -1.21.\nAnswer: 907.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -5, -10 in ascending order.\nAnswer: -10, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -5*b + 9. Suppose -20*m + 15*m + 40 = 0. Let c be t(m). Let k = c - -33. Solve d = k*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41448329039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 209, 2, -4, 3, 5 in descending order.\nAnswer: 209, 5, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n = -48*n + 329 + 7 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 7274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from nnqqnyrry.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2.3 smaller than 33369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.1 - -0.24. Let h = c - 0.24. Put 4, -2\/5, h in descending order.\nAnswer: 4, h, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.379 + 181.621. Let c = s + -191.1. Let v = -9.23 - c. Sort v, 0.4, 0.2, -4 in increasing order.\nAnswer: -4, v, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -13*j*p**4 + 2199*j - 3854*p - 2 wrt p?\nAnswer: -52*j*p**3 - 3854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-3 - (3 - 2)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 + 6*q - 2. Let v be k(5). Suppose -v*g = -5*g + 150. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -36. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -3*d - 16. Let x be q(-6). What is the third derivative of -27*z**5 - 213*z**2 - 218*z**2 + 404*z**x wrt z?\nAnswer: -1620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12 - 6. Suppose 0 = k + 3*k + n, 2*k = -n - 2. Let j = k + 17. What is the lowest common multiple of j and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -535 - -547. Calculate the remainder when 79 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -59 - -45. Let s = k - -18. Solve 0 = y + s*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 4*y + 5, 5 + 2 = -y + 5*w. Let x = 2 + y. Let b(g) = -32*g + 514. Let d be b(16). Solve d*o + 2*m = x, 5*o - 9 = o - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = -4*q + 1903 - 1927, q - 4*s - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(440)\/sqrt(288))\/(-1*sqrt(5)*-3) + 3)*6.\nAnswer: sqrt(11)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 115 + (-6 - (-4 + 2)). Is 111 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*f**4 + 3*f - 1 - 4*f**3 + 3*f - 2*f**2 - 5*f + 2*f to n*f + m + s*f**3 + i*f**2 + d*f**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**3 + 7*i**2 - 9*i + 6. Determine g(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 53.758 + -41.7. Let h = -12 + p. Let c = h + -0.05849. What is c rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 78267552 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8540 - -59782\/7. Let r = -0.3 + 0.5. Let l = 0.1 - r. Which is the nearest to p? (a) l (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59000005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8270459 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/36 + 26\/12. Calculate the highest common divisor of w and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.938028 millennia to centuries.\nAnswer: 9.38028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 196358010 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32226?\nAnswer: 2, 3, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:40 PM and 7:43 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3377, -4875, -6283, -7601?\nAnswer: -8829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*g**3\/2 + 185*g**2\/4 + 225*g + 405\/4.\nAnswer: 5*(g + 9)**2*(2*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1 + (-1*sqrt(304) - sqrt(57)\/(sqrt(48) + sqrt(3))) - (-1*(sqrt(19) + sqrt(152)\/sqrt(8) + 5 + 1))**2).\nAnswer: -141*sqrt(19)\/5 - 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2953, 6001, 9039, 12067, 15085, 18093, 21091?\n\"Answer: -5*i**2 + 3063*i - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 40\/18719?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8698287 in 0, -0.5, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 116 - 90. Calculate the greatest common factor of 104 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 670932781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, -7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 + 0 = -146*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -35.943 - -35.833. Which is the second biggest value? (a) w (b) -12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 157560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1a0406 + 2?\nAnswer: -1a0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**3 + 12*x**2 - 13*x + 25. Let g be n(11). Suppose -g*z = -5*o - 179, -3*z + z - 5*o = -86. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.7 + 0.0974.\nAnswer: 1.7974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 19, -45, -2, 250 in decreasing order.\nAnswer: 250, 19, 2, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**3*o**3*u**2 + 52137*i**3*o**2*u**2 + 2*i*o**2 + 103918*o**3*u**2 wrt o?\nAnswer: 6*i**3*u**2 + 623508*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*y + 4775 = 213*y - 3380 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 476 - 6191\/13. Let f(q) = q + 7. Let b = -36 + 28. Let k be f(b). Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4 - x - 5 + 2. Let y(q) = -12*q + 9. Let t = -213 + 204. What is t*r(l) + y(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 12 + 1 + -118 + (41 - 18) + -13 + 12\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b = 3*p + 3*b - 7282, -4*b + 4 = 0. Suppose 5*h - 4*q - 21643 = 0, -2*h + 2*q + 11087 - p = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -119 + 121. Let a(m) be the second derivative of -1\/2*m**3 + 0*m**k + 4*m + 0. Determine a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -285 - -289. Determine i, given that 23*i**4 - 2 + 5 - 3 + 16*i**q + 108*i**2 - 144*i**3 - 3*i**5 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10531171\/3000 - 122929\/125. Suppose -2*q + 5052 = -4*q. Let f = h + q. Find the common denominator of 19\/3 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 17.72 times 4\nAnswer: 70.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -354\/455 + -2\/91. What is the second biggest value in -2, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(-31)\/(1302\/56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 83017282507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 609 - 550. What is the remainder when a is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -1 (b) 4\/5 (c) 2 (d) 2\/9669 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22.9 - 23. Let q = -2\/63 - -73\/315. Which is the biggest value? (a) d (b) -2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 350 is divided by 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26631661.\nAnswer: 7, 1787, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -2*u**3 - u**2 - 5*u**3 + 3*u**3 - 2 + 8*u**3 + 3*u. Let i be n(1). Is 10\/i*(-3678)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 7*i - 8. Let c be w(4). What is the units digit of 251 + 1\/((-5)\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 190 divide 180552060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*l + 2*l - 3*l + (9*l - 173*l - 72*l)*(4 - 1 - 5) to g*l + m and give g.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 + 13*l - 33. Let i be x(3). Let k(d) be the second derivative of -d**4\/12 + d**3\/6 + 2*d**2 - d. Determine k(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112865088 is divided by 5940267.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 1096 by 50695.\nAnswer: 1096\/50695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-40))\/((-7)\/(315\/(-18))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.4 (c) 3 (d) -22.5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 4\/(-20) - (-249)\/20 and -71\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-8)*12\/(-81).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 22501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-95)\/(28500\/(-700))*(-7)\/(-539)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0, 5\/3, 1\/17, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 2*u**3 - 2*u**2 - 2*u - 4. Let w be d(3). Suppose 28*l - w*l - 224 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13 + 7 - 16) + 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lj when two letters picked without replacement from ppwajlg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5479*t**2 + 2206*t?\nAnswer: -10958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -0.04 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 - 7*z**2 + 3*z + 17. Let p be c(6). Are 1\/35 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 36*y**3 + 51*y**2. Let z(v) = -7*v**3 - 10*v**2. Let w(o) = 4*x(o) + 21*z(o). What is the third derivative of w(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 341104306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -130, -129, -128?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11.263 - 10.81. Let u = z - 0.053. What is the third biggest value in 2\/9, u, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -v**3\/6 + 217*v. Let d(n) = -21*n**2 + 2*n. Give z(d(m)).\nAnswer: 21*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) -2\/7 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the second derivative of b**5\/20 - b**4\/3 + b**3\/2 - b**2 - b. Let l be v(3). What is the closest to -0.1 in -1, 5, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -10. Suppose 3*n = h*n. Solve 5*w - 3*i + 5 = n, 0 = -3*w + 4*i + 11 - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - bb4?\nAnswer: -bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 - 9*c - 2. Let k be x(-9). Is k greater than -7\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of a**6\/960 - a**5\/80 + 3*a**4\/64 + 23*a**3\/6 - 18*a**2. Let k(h) be the first derivative of b(h). Factor k(s).\nAnswer: 3*(s - 3)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5068 and 159069316.\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 90 and 61953315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 2*m**3 - 3*m. Suppose 0*y = 2*y - 3*x - 4, 3*x - 8 = -4*y. Let a(z) = 2*z**3 - 2*z. Give y*o(g) - 3*a(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 976 + -135. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**2 - 5*j + 2. Let b be m(6). Suppose 6*o + 218 = b*o. Calculate the remainder when o is divided by 85\/3 + 2\/(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z - 1. Let s(a) = -45 + 21 + 2*a + 26. Determine 5*k(b) + 2*s(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1310141 (base 5) in base 11?\nAnswer: -18318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -11, -0.072, 4, -2\/173?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from kxkxxkxkkxxkkxkk.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-6))\/(7\/2877). Let c(g) = g**3 - 15*g**2 + 14*g + 3. Let u be c(15). Let q = u - o. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3826200 and 2869650?\nAnswer: 11478600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -333425349 divided by 181?\nAnswer: -1842129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21941?\nAnswer: 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -2\/159515 and -32\/1285.\nAnswer: 40995355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 4, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2317?\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -21*v + 495. Let n(u) = -1. Let l(f) = g(f) + n(f). What is the tens digit of l(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/6*192\/(-3). Let l = w - -35. Let m(f) = 201*f - 10. Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -77, -3, 1\/70, 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 31935*x - 31936*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/((-4)\/(-8))*1. Suppose -u - 1 = -b*u. Is 3\/4 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, a: 2, y: 7, u: 1, v: 3, n: 3}. What is prob of sequence ayae?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -180\/11 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 32 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 93374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-73)\/((-264114)\/54)*(-1)\/((-1)\/(-2))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 731547, 731552, 731559, 731568?\nAnswer: 731579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 PM and 11:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/2 of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14135 + 3506 + 3542 + 3547 + 3540 + 268*x.\nAnswer: 268*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**2 - 10*p - 13. Let j be r(-2). Let l = j + -9. Solve -l + 14 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12 + ((-112)\/196 - 34\/14). Solve 2*k + f - d = 0, 0*f = 3*k - 5*f - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -83*x - 116*x + 147*x to the form w*x + u and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -13*d + 67. What is h(8)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 - (2 - 14\/6). Let p = 13 + -14. Which is the nearest to p? (a) v (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 18, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/650 and 51\/950170?\nAnswer: 4750850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 333 (base 14) to base 3.\nAnswer: 212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-27 - -44) + (-23 - (16 + -101)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -406 by -854.\nAnswer: 29\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1857850735+8729\nAnswer: -1857842006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85670596 is divided by 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -3.34 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence npnf when four letters picked without replacement from pppppnppppfpnpn.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 135*d + 1287211 = 1289641 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/5*(-225)\/(-630). Which is the fourth biggest value? (a) g (b) 3 (c) 0 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*((-58)\/58)\/((-12)\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/30*13\/(156\/30)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.62 and 0.03899516?\nAnswer: 1.58100484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -153, -583, -1291, -2271, -3517, -5023, -6783, -8791?\nAnswer: -11041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4530234)\/(-292))\/((-9)\/6). Are -10343 and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -416853.13 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.097263 - -0.0953. What is z rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/(-14) + 610\/(-252). Let q = 2623\/225 + -97\/25. Let s = q + c. What is the common denominator of -87\/4 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*(-8)\/(-32)*2\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (94\/1096)\/(2\/(-12)). Let t = x - -2\/137. Put t, 3\/4, 1 in decreasing order.\nAnswer: 1, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y + 49. Let x(n) = 2*n - 48. Determine -5*q(d) - 4*x(d).\nAnswer: 2*d - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 7 = -4*h + m, 10 = 4*h - 2*m. Suppose 1 = -h*x + 8*n - 3*n, -11 = -4*x - 3*n. Sort x, 1\/2, -2, 1.5.\nAnswer: -2, 1\/2, 1.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 81\/4 + 1\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 8\/(-20) - 6935\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.0609 to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = 0, 0*q + 5*q - 5*i = -15. What is the third biggest value in 0.3, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 2*l - 2*o + 27, 88 = -5*l - 2*o. Let b = 82 - 37. Let x be (-149 - 1)*l\/b. Calculate the highest common factor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-118)\/(-1062))\/(1\/(-6))*441\/70?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*u**3 - 3*u**3 - 9*u**3 - 5*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -66 + (-16 + 37 - -31) - (2 + 0 + -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 32466141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 0*a = 2*q - 367, -3*a + q = -1087. Suppose b - a = -10*l + 6*l, 1557 = 4*b - 5*l. List the prime factors of b.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 + 7*h**2 + 2*h**2)*((-1 + 0 - 1)*(0*h + 4*h - 5*h) + 3*h - 1 + 1 + 0*h + 0*h - h).\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -16555 divided by 3311?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 34*h + 593. Calculate x(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -151\/534 and -25\/3026?\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 + -5. Suppose 4*o + 5 - 21 = v. Suppose o*z + 121032 = -82968. What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 520065313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2209 + 2200. Which is the smallest value? (a) 0.1 (b) -2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.4 - -7.9. Let f = 7 - t. What is the second smallest value in -3, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 936*m - 34572 = 13890 + 1146 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 4*y + 6. Let w(f) = f**3 - 6*f**2. Let c be w(6). Let r(x) = 3*x + 1 + 4 + c. Calculate 4*h(k) - 5*r(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 291 + -135. Let w be 1000\/84*1 - (-10)\/105. Calculate the highest common divisor of w and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7866 - 7865.6. Suppose 0*r - 3*r = -12. Which is the closest to -1.1? (a) 2\/7 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from ssststssssszsstss.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19015782?\nAnswer: 2, 3, 3169297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from dkddadaanakna?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z + 9. Does 2 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -62469 or -62676?\nAnswer: -62469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*i - 24 + 324. Calculate the least common multiple of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 - -19. Suppose -g*p - 4*m + 120 = 48, -p - 2*m = -26. Calculate the remainder when 1 - 1 - (-51 + -7) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/5*c**5 - 128\/5*c + 64\/5 + 64\/5*c**2 - 4*c**4 + 16\/5*c**3.\nAnswer: 4*(c - 2)**3*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9485 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/10)\/(-14 + 12). Let n = -52 + 47. Let w = 3.99 - -0.01. Which is the closest to 7? (a) n (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*g - 11*g - 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 202 (b) 6\/223 (c) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -115 - -114.99901. What is k rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 1 = -3, -3*i - 23 = -5*g. Is 10 a factor of (-108)\/((-4)\/g) + 4 + -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xfff when four letters picked without replacement from affaxfaf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -8502728.53 rounded to the nearest one hundred?\nAnswer: -8502700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -107.\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32898609.\nAnswer: 3, 1218467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 107354221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 40 or 0.731?\nAnswer: 0.731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2010?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -74 - -79. Let y be -3 + h - (-8)\/4 - -8. What is the highest common divisor of y and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 AM and 1:43 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -1. Let a(s) = 2*s**2 - 3*s - 28. Let t(b) = -a(b) + 6*u(b). Let q be t(4). Solve -2*j = 2*j - 4*p + 4, 3*j - q*p + 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116692013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dddi when four letters picked without replacement from {i: 4, d: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -9*a - 11. Let h(z) = -8*z - 10. What is -4*h(l) + 3*i(l)?\nAnswer: 5*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21947724*x**2 - 2*x + 9304598.\nAnswer: 43895448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30\/121 - -5385\/242. Let h = r + -22. Let q = 247\/35 + -55\/7. Which is the smallest value? (a) h (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4 = 10. Solve 0 = p*g + 2*c + 4, -g + c = -3*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the first derivative of 5*l**4\/6 + 3*l**2 + 15*l - 26. Let j(i) be the first derivative of r(i). What is the first derivative of j(b) wrt b?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 - 103*x**2 - 2100*x + 7160. Determine l(120).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**2)**(17\/6))**(-46\/3))**(24\/11) assuming c is positive.\nAnswer: c**(-3128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -5.6 (b) -4 (c) -2\/5 (d) -2\/235 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*k**3 - 19*k**3 - 11*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 19.36189 millimeters in centimeters?\nAnswer: 1.936189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 9, -62, 5.\nAnswer: -62, -6, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 88420915 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = -257*i + 254*i + 2*a, i - 4*i - a - 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-70) + 58\/(-77).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -13 and 0.717?\nAnswer: 13.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:56 AM and 9:31 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 - 2*j**2 + 4*j - 3. Let o be h(-4). Let c be (-1)\/(-5) + 1557\/15. What is the greatest common divisor of c and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -597 - -536.2. Is k greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -173 - -135.4. Let s = a + 38. What is the fourth biggest value in s, -0.5, -4\/7, 3\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-1\/2)\/g)**(-2)*(g*g**(-3)*g*g)\/g**1 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q - 1. Let l be r(3). Let d = l - -2. What is the units digit of -1 + (-1)\/(d\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11220222110120 (base 3) to base 5.\nAnswer: -1132224244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 10*d + 1848 = 0. Let r = d - -174. Solve r*f + 15 = 9*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3105147*c - 553320 wrt c.\nAnswer: -3105147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.4 in 2, -21\/2, 3\/2, -1\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94 = -o - 10*h, 0 = -4*o - 2*h + 72 + 456. Put -1, 12, o in ascending order.\nAnswer: -1, 12, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*m - 4565 = 19*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31207673 to the power of 1\/2, to the nearest integer?\nAnswer: 5586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 327*f + 212. Let l be t(5). List the prime factors of (-2)\/(-4)*(l + -5 - 2).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 2*n + 2. Let s be (0\/(8\/n))\/2. Suppose -5*f + 14 + 6 = s. Solve -t - 3*t = 4*d, -f*d + 9 = -5*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 4*q**2 - 2*q + 1. Let a(y) = -5*y + 17. Let u be a(4). Let c be z(u). Is -3 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 PM and 5:05 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 464251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 1 - 2 = -d, -2*d + 8 = -3*x. List the prime factors of x\/(-4) - 39\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 177*r*t**2*y**3 - 347*r*y**3 - 2*r - 2*t**2 - 139829*t*y**3 wrt r.\nAnswer: 177*t**2*y**3 - 347*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 299 + -3885\/13. Which is the closest to 2\/5? (a) 9 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-17)\/(c*c**(-13)))\/(c*((c*c\/((c\/c**33)\/c))\/c)\/c*c*c*(c**26*c)\/c) assuming c is positive.\nAnswer: c**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -753 + 419 + 395 + 3*p + 0*p to l*p + u and give u.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from slblgut. What is prob of picking 1 u, 1 g, 1 b, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 405 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 + 30. Suppose 2*l - 11 = 11. What is the remainder when l is divided by 24\/u*10\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 51484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 16 + 59798435301.\nAnswer: 59798435317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(441) - sqrt(441))\/(sqrt(252)*-2 - sqrt(252)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of n**4\/6 + 4165*n**2. Let c(i) = 17*i. Determine 6*c(d) - 22*w(d).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -7\/2 (b) -1\/207 (c) 0 (d) -13 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 2*p + 13 = 7, 4*p = 3*v - 20. Let o = 2 + 0. Suppose -5 = -5*y + 2*l, -o = -y + 2*y - l. Solve -y*n - n + v = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 232 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 14 = 1. Suppose -5*u = -2*z - 76, 0 = 5*u + 4*z - a*z - 67. What is the highest common factor of u and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + d**4 + 1)*(-30 + 27 + 5 + 381*d).\nAnswer: 381*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 203 + f + 0*f + 218 - 421.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -396306609*m**4 - 5961203*m**2 wrt m?\nAnswer: -9511358616*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*a - 31*a = 206 - 1250 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 474 (c) 90\/11 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (f - 2*f + 0*f + (-1 + 15 + 34)*(2*f + 4*f - 3*f))*(f - 5*f + 3*f) to the form h*f**2 + m + k*f and give h.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do -107718 and -107712 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 661355623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 59.22129239 less than -12.92?\nAnswer: -72.14129239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*l - 0*l. Solve o + 5 = -4*n, 0 = 4*n + 2*o + l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 63.85 - -1.15. Let m = z + -5.6. Let q = 47 - m. Round q to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 40516 - -4?\nAnswer: 40522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 2\/112651?\nAnswer: 2\/112651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6483 is divided by 1004.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(132)*2)\/(1*sqrt(36)\/sqrt(3)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 21*q + 7. Let s be f(-5). Let g = -56 - s. Calculate the remainder when g is divided by (-85)\/(-8) + (-21)\/(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k - 4. Let g be r(4). Let d be 4 - (g - 3) - -3. Suppose -7*w + d*w - 6 = 0. What is the highest common factor of 10 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -6 + 40\/5 - 0. Sort -3, f, 28 in descending order.\nAnswer: 28, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + n = 4. Let a be (n - 0)\/(6\/(-24)). Differentiate -a + 9*k**2 + 0 - 3*k**2 + 7 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of (-45)\/(-60) - 378\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*x**5 + 52*x**4 - 179*x**2 + x wrt x.\nAnswer: 120*x**2 + 1248*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 132*o + 1269. Calculate c(-13).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2\/9, 0.54, 1\/5?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -20*o. Let x(g) = -70461*g**2 - 22*g. Determine x(p(q)).\nAnswer: -28184400*q**2 + 440*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-120)\/(-20)*(-2)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) 0 (b) -0.12 (c) 1\/4 (d) -3\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 12 = 4*h, h + 4*h + 30 = -4*i. What is the second biggest value in 1, -2\/5, -0.5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 103*v**2 + 2917*v + 920. Calculate i(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 114 - 104 = 0. Suppose 0 = 4*f + i + 2. Suppose 3*t = w - 4, -2*t + 4*w = 9*w - 3. Sort 0, f, t in descending order.\nAnswer: 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2 + 6*s + 24. Let j be k(8). Suppose 55 = 2*l + 5*r, j*l = 7*l + r + 10. Solve -4*g - l = -27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 2*k**3 + 11*k**2 - 19*k - 8. Determine j(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.2, 42\/13, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -960 + 951. Let b = 90\/979 + 8\/89. Put z, 0.5, b in decreasing order.\nAnswer: 0.5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.103*-0.2.\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6362\/(-14) - 6\/(-14). Let o = 6361\/14 + v. Calculate the common denominator of o and -16\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -5*t - 12. Let q = -20 - -12. Let l be j(q). Suppose 3*u + 7 = l. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -341444*249.\nAnswer: -85019556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 2*g - 7, 3 + 0 = 3*g. What is the third derivative of -2 + 0*w**2 - w**2 + 44*w**b + w**2 + 3*w**2 wrt w?\nAnswer: 2640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*v**5 + 2*v**5 + 4*v**5)*(1 + 1 - 1 - 1 + 1 - 2 + (5 - 2 - 1)*(1 + 1 + 0) + 2 - 8 - 6).\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 234, 952, 2148, 3822, 5974?\n\"Answer: 239*m**2 + m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of 2*f**3 + 0*f - 84*f**2 + 0 + 13\/24*f**4 + 1\/60*f**5. Solve x(d) = 0 for d.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1741 + 1739 - 344*y + 13*y**3 + 189*y**2 - 7*y**3 + 16*y**3 wrt y?\nAnswer: 132*y + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13494 + -13493.9. What is the closest to l in -3, 3\/4, 365?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + -15. Let y = o - -5.1. Let x = -7 + 11. Which is the smallest value? (a) -2\/7 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + z - 5*z)*((-z + 0*z - z)*(-1 + 1 + z**3) - 2 + 2 + z**4).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -281, -1613, -3841, -6971, -11009, -15961, -21833, -28631?\nAnswer: -36361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38 + 16823*b - 13 - 25.\nAnswer: 16823*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1.69 times -0.3\nAnswer: 0.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -350 + o**3 + 1049 - 349 - 350.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(-6) + -26*6\/(-72). Let y(j) = 1 - d*j**2 + 4*j**2 + 6*j + 4*j**2 - 4*j**2. Give y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(27) + (sqrt(27) + sqrt(3267)*-2 - sqrt(27)) + sqrt(108)*-1)\/(2*sqrt(1296) + sqrt(1296) + sqrt(576) + sqrt(36)) + 2)**2*-3.\nAnswer: -57\/4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -228 (b) 2 (c) 6\/7 (d) 2.6 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21 and -50*64\/96*(-15)\/10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*g**3\/10 - 1513*g**2\/10 + 1011*g\/10 + 101\/2 = 0. Calculate g.\nAnswer: -505, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3063 + -3006. Solve -17*a + y = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 110 and 15441360?\nAnswer: 15441360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20012102001210 + -1120?\nAnswer: -20012102010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the second derivative of j**4 - 19*j. Let a(y) = -6*y**2. What is a(t(i))?\nAnswer: -864*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-49)\/((-1176)\/(-144)) + (6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -b**4*i + 2042712*b**3*i + 78*b**3 - b**2*i - 53928*b**2 + 30*b*i + 2*i - 2 wrt b.\nAnswer: -24*b*i + 12256272*i + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22856 + 22860. Let v be (1\/(-9))\/(3\/6). Put 12, -4\/7, s, v in decreasing order.\nAnswer: 12, s, v, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 4890ae?\nAnswer: 4890aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 + b + 5. Let l(m) = -3*m**2 + 3*m + 14. Let f(q) = -17*k(q) + 6*l(q). Let v(u) = 12*u - 5*u**2 - 6 - 28*u + 8*u + 13*u. Give -6*f(n) + v(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - -17794802388?\nAnswer: 17794802390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -2 - -2 - (-14 + -3) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*f*y**6 - 11*f*y**3 + 24*f - 5*y**5 - 2*y**2 wrt y.\nAnswer: 240*f*y**3 - 66*f - 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*g - 697 = 1207. Calculate the greatest common divisor of g and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2726 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: Let p(h) = -9*h - 7. Let q(j) = -5*j - 4. What is -3*p(n) + 5*q(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - -2. Let m be 70\/x*(-16)\/(-10). Let i = 42 - m. Calculate the greatest common divisor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23 - 92 - 421*w**2 + 423*w**2 - 86*w + 150*w to the form f + k*w**2 + q*w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 64984792 to the power of 1\/2, to the nearest integer?\nAnswer: 8061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 + 1)*(-4*u - 2*u + 5*u) + 0*u + u - 3*u - 4 + 4 + 2*u - 18*u - 10*u + 0*u + 0 + u + 0.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, p: 2, a: 1, o: 1}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f**2)\/f)\/(f\/(f*f**(2\/7)*f)))**(2\/9)\/(((f**(1\/2)\/f)\/f)**(-2\/15)*f**(-3\/5)\/f*(f\/f**(-1\/8))\/f*f) assuming f is positive.\nAnswer: f**(2533\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12741337 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -17 by -274.\nAnswer: 17\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, -130, 30 in increasing order.\nAnswer: -130, 1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 6) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2011951ml to litres.\nAnswer: 0.0002011951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2463606 (base 8) to base 16.\nAnswer: -a6786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-4)*(-14940568)\/348 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 95145765 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 5*q - 4*b = -929, -q + 5*b = 190. Find the common denominator of -43\/2 and 1 + -1 + q\/(-310) + 0.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -124*t - 1. Let w be (4\/(-3) - -2)\/((-7)\/(-42)). Suppose l = -4*y - 10, 2*l - 14 = w*y + 2. Is c(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6762 and 843?\nAnswer: 1900122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 - 6*q**2 + 7. Let t be p(4). Let l = t - -105. Find the common denominator of 101\/10 and 129\/l - (24\/10)\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from bjbjjjjbbbbujuu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/315972 and -107\/72?\nAnswer: 631944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*o**3 + 22235*o + 2*o**2 - 9 - 7 + 16 - 22156*o to d*o + z*o**2 + u + g*o**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 973532.1 nanograms in micrograms?\nAnswer: 973.5321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9)\/(-3) + (-11 + 2 - -2). Let f be -1 + 0 - (z + 6) - -183. Suppose -4*w + 4*c + 100 = -44, 4*w - f = -5*c. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.4, -2, 4, 36.36, -2\/81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -8446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - -3. Suppose -2*t - t - 84 = 0. Let q be 20\/t + (-4)\/14. Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2, 2222, -0.3, -0.2, 15\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 114\/(-665)*(-5)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -45138, 3, 15 in increasing order.\nAnswer: -45138, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 1 = m + 3, 3*m + 4*i = 0. Let g(w) be the second derivative of 3*w**5\/20 - w**4\/4 - w**3\/6 + 5*w**2\/2 - 4*w + 36. List the prime factors of g(m).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 776 - 167. What is the greatest common factor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 5*g**2 - 2*g + 5. What is q(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4627*q = -957*q - 932*q - 13032 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1726, -960, -206, 530, 1242, 1924?\n\"Answer: -v**3 + 773*v - 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = j - l + 26, 5*j = l - 40. Let r = j + 20. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, -33, -92, -179?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -65273 (base 8) in base 9?\nAnswer: -41428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**13\/o*o*o**3 assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - 4.3. Let b = y + 0.5. Which is smaller: b or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3451004983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -22*m**2 - 2*m. Let c(l) = 4384*l + 1. What is c(o(b))?\nAnswer: -96448*b**2 - 8768*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j**18*j*j))\/j**26)**(-2\/15) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.256 times -246865\nAnswer: -63197.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 537953 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + -768bc18?\nAnswer: -768bc19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 331*o**3 - 2 + 327*o**3 + 12*o - 654*o**3 - 3*o**4 to the form w*o**2 + v*o + u*o**4 + k + n*o**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21272)\/2310 + 43424\/4720?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j**2 + 3*j**2 - 28*j**3 - 32*j**3 - 207*j**3 + 36*j**3.\nAnswer: -231*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 14*w**2 - 24*w**2 - 2 in the form l + p*w + c*w**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21.7391 + 0.0609. Let i = 21.6 - b. What is the nearest to 1 in -0.3, -1\/7, i, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 141 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 18888, 82455, 190702, 343629, 541236?\n\"Answer: 22340*n**2 - 3453*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 105\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38 + -36. Suppose h + 6 = -l, l - h = -j*l - 18. Let w = -1 - -1.1. Which is the closest to -1? (a) l (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3104883 less than -3104897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = 2*l - 27. Solve -2*a + 0 = 3*i + 4, 0 = -l*i + 3*a + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/36)\/(5\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2179248907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -24*w - 4. Let r(x) = 107*x + 15. Let c(d) = 18*q(d) + 4*r(d). Let o(p) = 5*p + 13. What is -3*c(a) - 2*o(a)?\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 288644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -820057015 divided by 1976041\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -249 or -20?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1*(-3)\/28*(-11)\/((-66)\/12)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*m**5 + 10*m**3 + 10*m**2 - 1274*m - 9?\nAnswer: 40*m**3 + 60*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 3*a = 6, -u + 5*a = 2*a. Which is bigger: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*c - 34209 = 5493. List the prime factors of c.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60.925448 rounded to 2 decimal places?\nAnswer: 60.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -j + 70. What is the greatest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5\/20 - (-7)\/4. Suppose -q - 8 = -3*h + q, -b*h + q + 4 = 0. Suppose -5*t + 28 + 47 = h. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 222.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -25. Suppose 0 = -b*m + 3*m + 4. Let p be 10\/44*(-6 + (16 - 6)). Is p < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lppxppplcltltppx. What is prob of picking 1 p, 1 c, 1 x, and 1 t?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -70987*a**2 + 2*a - 27. Let u(j) = 7*j**2. Calculate w(u(m)).\nAnswer: -3478363*m**4 + 14*m**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15312 + 9869. Let r = -5443.0000004183 - b. What is r rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -57.881 + -0.119. Let r = v - -132. Let s = -74.1 + r. Which is the closest to -3\/23? (a) s (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, 0, -0.11.\nAnswer: -15, -0.11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 67*n - 47*n + 140 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + (1 - 17) + -12 + 10 + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxxjxxjxxxjxxxjxx. Give prob of sequence xxx.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 - 7*k**2 + 5*k. Give m(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -z**4 - 6158*z**3 - 9492549*z**2 - 37896332*z - 37871716 = 0.\nAnswer: -3077, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from ppappaagaa?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -37117\/53 or -699?\nAnswer: -37117\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*y - 4*a + 26, 5*y - 800 + 825 = 5*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5735?\nAnswer: 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*d + 18*d - 128 = 0. Suppose -1173 = -67*i + d*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 212112 - -111?\nAnswer: 220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.27732 - 115766.\nAnswer: -115766.27732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 4218*a + 4651*a + 2 as k*a + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -525580 or -525568?\nAnswer: -525568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*u - 7*u**2 + 76*u + 11*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -50 - -50. Suppose o*p - 40 = -4*p. Let h = 15 - p. Solve -b + h - 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 196061616 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 102 and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 35\/(-35) + (-4)\/2. What is the hundreds digit of q*(-4 + 5) - -432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 29 + -26. Let m be 75\/30*(l + 1). What is m rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p - 2*p - 38 + 72 - 29. Calculate l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 189132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify o\/(o**(-8)*o)*o**34*o**2*o**(-9) assuming o is positive.\nAnswer: o**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 56930.01 nanoseconds to microseconds.\nAnswer: 56.93001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8676335531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 7:02 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 112 and 1204?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.08 * -1.08778.\nAnswer: 1.1748024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s*s**3*s*s**(-1)\/s*(s**(2\/3))**22*s*s**(-1)\/s*(s**(-5)*s)\/s*(s**(-6)*s*s)\/s*s**(-4) assuming s is positive.\nAnswer: s**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the second derivative of -2*r**3\/3 - 2*r**2 - r - 9. Let x(c) = -c + 2. Let s(t) = t - 3. Let d(f) = 3*s(f) + 4*x(f). Determine -2*b(n) + 10*d(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 85294 is divided by 17057.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -935072 - 3643504 = -204*t. What are the prime factors of t?\nAnswer: 2, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(1\/3)\/r**(-3\/11)*r\/(r**2*r)*r*r**(-1\/5)*((r\/r**(2\/15)*r*r)\/(r\/(r*r*r**(-6)\/r*r)))\/(r**0\/(r*(r**(3\/4)\/r)\/r)) assuming r is positive.\nAnswer: r**(-131\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of 2*t**5\/15 + t**2. Let c(d) = d**3 - 8*d**2 + 6*d + 9. Let f be c(7). Let n(u) = 14 - 13 - 1 + 2*u**f. Give n(j(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4.45 + 2.55. What is the third biggest value in -2, -3\/7, -5, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 2, 5, -4\/7, -0.3, -40.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3 - 11*p**2 - 10*p - 1. Let r = -9 + -1. Let l be t(r). Let y be -1 - ((-2)\/(-12) - 1). Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from whhhhkhhwkh. What is prob of picking 2 w and 2 h?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/(102600\/144) - (-1693)\/(-19)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -10*m + 348 - m**2 - 348. Let q be g(-10). Solve q = -3*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -2898*l**2. Let f(a) = -5*a**2. What is f(v(c))?\nAnswer: -41992020*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -37.973 - 25.587\nAnswer: -63.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = 4*a - 20 - 2, 2*a = -4*l - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-3))\/((-26)\/117).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (28\/24)\/(((-145)\/30)\/(-29))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*f**4 + 14*f - 11*f + 972 + 973 + f**2 - 2*f**3 - 1939 to the form k*f**2 + m*f + z*f**4 + j*f**3 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 71353470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 3\/4, -12, -0.11, 1, -6.\nAnswer: -12, -6, -0.11, 2\/7, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 - 9*j**2 + 22*j. Calculate the smallest common multiple of 42 and o(7).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/(-14))\/((2\/29)\/((-133)\/133))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 930 in 70, -2\/21, -4?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 125, 241, 375, 533, 721, 945?\n\"Answer: x**3 + 3*x**2 + 100*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, s: 7}. Give prob of sequence sww.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 135025.\nAnswer: 3\/135025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 353 and 14109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -28*n + 26 - 33 - 245 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1987124 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(88)*2*-2)\/((sqrt(128)*1 - sqrt(128)) + sqrt(450)\/sqrt(9)))**2.\nAnswer: 2816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11420584 and 89808?\nAnswer: 68523504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -81894964.6 to the nearest 1000.\nAnswer: -81895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 times 4?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.03 + -5.03. Let x = -28.33 + 28.23. Which is the nearest to x? (a) -4 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 915988.\nAnswer: 2, 31, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -123210 - -12113322?\nAnswer: 11330112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*u - 488 = 6*u. Let m(r) = 122 - 9*r**2 - u. Let j(l) = l**2 - 7*l - 1. Let f be j(7). Calculate m(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.142 to two dps.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 3 = -3*k + 4, 175*w - 174*w = 68*k - 64 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 3*s = 7*s + 2, 5*i - 5*s - 5 = 0. Which is the nearest to 2\/11? (a) -60\/11 (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 PM and 3:27 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**3 + x**2 - x. Let s(n) = 4*n**3 - 13*n - 4. Suppose -37 = -4*m - 17. Let b(i) = m*a(i) - s(i). Factor b(c).\nAnswer: (c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of -13*n**5\/5 + n**4\/12 - 271*n**3\/3 - 4*n**2 - 133. What is the first derivative of l(k) wrt k?\nAnswer: -312*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6208017*v**3 + 1834858*v.\nAnswer: -37248102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2971930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2908, -210, -19 in increasing order.\nAnswer: -210, -19, 3, 2908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -4*s + 3. Suppose 4*h - 36 = 4*c, 4*h + c = -6 + 17. Let r(d) = -4*d + 4. Determine h*v(w) - 3*r(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum 24 and -0.0619.\nAnswer: 23.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/(21\/(-2))*(-28)\/12. Let h(u) = -u**2 - 4*u + 4. Let x be h(-5). Is k greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 4*u + 6*u = 8, -17 = 2*i + u - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d**5 - 1192*d**4 + 19032*d**3 + 21424*d**2 - 19036*d - 20232 = 0 for d.\nAnswer: -1, 1, 18, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 635 (base 9) to base 5.\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 230312134 (base 5) to base 11\nAnswer: 640874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 2*y + 5*g + 36, 5*y - 4*g - 75 = 0. Suppose -a + y = -153. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.311 + -0.011. Sort -1, r, 0.09.\nAnswer: -1, 0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 262106503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16553 is divided by 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 62436 divided by -63?\nAnswer: -20812\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 3, 4*g + 848 = -g + 3*f. What is g rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 11:22 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from liakxxio. Give prob of sequence la.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/8 - 4*(-22)\/((-4224)\/(-18)). Find y such that 3\/4*y**3 - s*y + 3\/4*y**2 - 3\/4*y**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 820 = -7*h + 841. Let v be (-2 - -2)\/((-9 + 15)\/h). Factor 0 - 1\/3*q**4 - 4\/3*q**3 + v*q - 4\/3*q**2.\nAnswer: -q**2*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -42*m**3 + m**2 - 7*m**2 + 54*m**3 wrt m.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the second derivative of -5*z**3\/6 + 5*z**2 - 15*z. Let n be s(5). What is the common denominator of 53\/10 and (n\/130)\/((-3)\/(-19))?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -22 + 15. Let v = -18 - -13. Put v, c, 1 in decreasing order.\nAnswer: 1, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -5147, -4053, -2959, -1865, -771, 323?\n\"Answer: 1094*t - 6241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.5 (c) -0.5 (d) 1\/8189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zhbzszzcbzbbbzb. What is prob of sequence zbhs?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + 15*q - 42. Let o be i(19). Round o to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9745132*w + 23460 = -9745477*w for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -354090 (base 11) in base 13?\nAnswer: -16891c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that y - 9*y**2 + 5 - 5*y + 8*y**2 + 0*y = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*y*y\/(y**(-2\/3)\/y*y)*y)*y*y)**(-5\/3)\/((((y\/(y*y\/y**(-2\/27)*y))\/y)\/y)\/(y\/y**2)))**(-46) assuming y is positive.\nAnswer: y**(-7268\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 11194963 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -275425, -550858, -826291, -1101724, -1377157?\n\"Answer: -275433*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + a - 11 = 0, -2*s - 4*a + 1 = -13. Suppose s*b = 7 + 2. Let z be 0*(5\/b)\/(-5). Solve g - 3*g - 4 = z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3612402 from -0.0394.\nAnswer: 3612401.9606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/3))**25\/(q\/q**10*q\/(q\/q**(-7\/4))) assuming q is positive.\nAnswer: q**(329\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 10424, 10422, 10420, 10418, 10416?\n\"Answer: -2*f + 10426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 10 - 2 = 0. Let w be (-32)\/v*3\/2. What is the highest common divisor of w and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1273432 (base 8) to base 2\nAnswer: -1010111011100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3204626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v = 2*v + 5. Let b = -1 - -2. Calculate the least common multiple of b\/(2*1\/2) and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = -2*b, -18*b - 2*g = -22*b + 10. What is the lowest common multiple of 314 and b?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 165184007\/440 - 375418. What is the common denominator of q and 51\/275?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/18 and 318940\/721056 - (-6)\/(-16).\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:12 AM and 5:44 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 349438689 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*b**2 + 48*b**2 - 15*b**2 - 21*b**2 - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the first derivative of 17*f - 1\/3*f**3 - 28 + 11\/2*f**2. Calculate j(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 2 - 46 = -3*f, -5*u + 75 = 4*f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**3 - 6*k**2 + 5*k + 2. Let c be s(5). Let x be -60*((-1)\/c)\/1. Solve -5*h = 4*j - x, -j = -2*h + h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1396*n = -1397*n + 6. Put 5, n, 4 in descending order.\nAnswer: n, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/2840 and -87\/2661080.\nAnswer: 2661080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -7521*p + 21402 = -7890*p for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 240203488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9333 - 9320. What is the highest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 344772996 rounded to the nearest 10000?\nAnswer: 344770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 1467*n - 2525. Determine v(2).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -25935 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -11.1 * -0.4\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 14 = 2. What is the least common multiple of x and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 11 = 5*x, -5*x + 5 - 12 = -2*r. Let w = 28 + r. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-72)\/1134*7*-18)\/((-4)\/(-2)). Let k(f) = -11*f**2 - 2*f + 1. Let n(h) = -33*h**2 - 5*h + 3. Determine s*n(d) - 11*k(d).\nAnswer: -11*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 615 - 355. Calculate the lowest common multiple of 12 and u.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 3:20 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48197960 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2927, 6234, 9541, 12848, 16155?\n\"Answer: 3307*o - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(20\/(-8) + 2). Let w be 6\/h + (-97727)\/14. Let r = -153607\/22 - w. What is the common denominator of r and -111\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1762)\/4 + (105\/10)\/(-7). Let q = w + 1092. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 - g - 3*g + 0*g + g + (-1 + 5 - 2)*(-18*g + 12*g - 13*g) + (-5*g + 4 - 4)*(-6 + 1 + 1) + (3 - 3 - 1)*(-4 + 4 - 2*g).\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.5917 - 0.0657. Let z = 0.126 - g. Let x be (3\/4)\/((-6)\/(-10)). Which is the third smallest value? (a) x (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -28949, -230648, -778129, -1844282, -3601997, -6224164, -9883673?\n\"Answer: -28815*l**3 - l**2 + 9*l - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -767 - 148 + 5*z - z - 7*z.\nAnswer: -3*z - 915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1348*g**2*i**3 - 215*g**2 + i**2 wrt i.\nAnswer: -8088*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (-1 + 1 + 2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/252 and -113\/180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -926*5065.\nAnswer: -4690190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-384)\/468 - (-2)\/13. Which is the closest to 1? (a) v (b) 5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 32032312013 (base 4) in base 13?\nAnswer: a081b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**3 - 6*s**2 + 5*s. Let m be a(5). Suppose m = -j + 6*j - 65. Is 13 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/3)*k**0*k**(2\/9)\/k*k**(-1\/2))**(-5) assuming k is positive.\nAnswer: k**(145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 + 13 = -5*o. Let c(h) = h**3 + 6*h**2 + 4*h - 1. Let l be c(o). Let q = 2.3 - 1.3. Put q, l, -2\/5 in decreasing order.\nAnswer: l, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + -3 + 8 + -13. What is the units digit of (4\/v)\/((-1)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14100 equal to 14100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 155 (base 8) in base 5?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 5 + 0 = -5*x, d + 4*x = -4. Let s = 114 - 112. Let h(m) = m - s + 7 - 20 + 2. Calculate h(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.1 + 4.0981. What is y rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, 0.082, 12, -1\/3, 0.1, 5?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 - 7*s**2 - 10*s - 22. Let w be b(-6). Let d(g) = g - 10. Let u be d(7). Let i be (u\/5)\/(-3)*-1. What is the nearest to 0.1 in -2, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the first derivative of y + 12. Let g(l) = l + 9. What is -5*c(q) + g(q)?\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nxnnwrxurxiiixi. What is prob of picking 1 u and 1 x?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 100 (base 8) in base 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -12*p. Let m(s) = 50*s**2 + 10. Give d(m(l)).\nAnswer: -600*l**2 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 119669166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:03 PM and 6:35 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.06 and 905.\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 9:51 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + 34 + -18 + (4 - 4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 4*n - 6728, -105*n + 106*n = -2*c + 6713. List the prime factors of c.\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1 (b) -31999 (c) 3\/7 (d) 2 (e) -2\/13 (f) 1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (123 - 205 + 178)*(6*l - 3*l + 2 - 2*l).\nAnswer: 96*l + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7.2*-0.1095.\nAnswer: -0.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o**(-2\/7)*o)\/o)\/o**19)\/((o*o\/(o**(2\/55)\/o))\/((o\/(o*o*o*o\/((o*o\/o**(-2\/45))\/o)*o)*o)\/o)))**(4\/7) assuming o is positive.\nAnswer: o**(-69868\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/4, -29, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -8931328 divided by 4\nAnswer: -2232832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 3*a = 9, 7 = 2*w - 5*a - 6. Is w at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/(0 + 15 + (-12282)\/801)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes before 6:16 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(114)*1*-1 + -1*(sqrt(114)*2 - sqrt(114)))\/((sqrt(72)\/sqrt(6))\/sqrt(2)*-5).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes after 1:36 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90 + 1833 = 3*h. Let w = -390 + h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*b*v**3 + 2*b - 8*v**4 + 41*v**2 + 13881*v wrt v?\nAnswer: 24*b*v - 96*v**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*g**2 - 18 + 32 - 11 - 3.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (141\/(-470))\/((4\/2)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by -2762\nAnswer: 4\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d. Let b be u(-2). Let a be 30\/(-8)*84\/(-63). Suppose 6 = 2*h - 0*h. Solve -b*j = -a*i - h*j - 10, -3*j = 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00007966 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 6*c - 54 = 0. Suppose 32 + 58 = c*k. Solve 6*m = m - k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-1\/20)*k**25*(k*k**(-3\/14))\/(k*k*(k**(-4)*k)\/k*k) assuming k is positive.\nAnswer: k**(3743\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 - 1)*(-2*y + 8*y**4 - 10*y**4 + y).\nAnswer: 10*y**4 + 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 3*r + 1. What is the remainder when (1 - (3 + -12))*(-24)\/(-16) is divided by h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15 + -17. Let l = 1.9999904 + x. Round l to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -33*f + 14*f**5 + 7*f + 4*f**5 - 12*f wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + n)*(-48 + 48 + 4*n**3 + (-2*n**2 + n**2 + 2*n**2)*(3*n - 3*n - n) - 2 + 2 - 2*n**3).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*r**2 - r**2 - 5*r**2)*(r**2 - 1 + 1 + 0*r + 0*r + r**2 + (-r + 3*r + 0*r)*(2*r + 2*r - 6*r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 minus 21814422592?\nAnswer: -21814422592.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3\/4 + 77*o**2\/2 - 34103*o\/4 + 323208.\nAnswer: (o - 67)**2*(o + 288)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -11*o**2 - 481*o - 1448. Determine f(-3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16099819?\nAnswer: 31, 519349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**4\/3 + 8*f**3\/3 - 64*f**2 - 392*f\/3 - 196\/3.\nAnswer: 4*(f - 7)*(f + 1)**2*(f + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 4 = 0, -h - m + 2114 = -6*h. Is h\/(-5) - (-6)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00049292738 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - (-1 + sqrt(7) + sqrt(7))*4)*-6)**2.\nAnswer: -2016*sqrt(7) + 12924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j + 1. Let h(t) = -4*t - 1. Let x(w) = g(w) + h(w). Let c(p) = -3*p**2 - 8. Let b(d) = -7*d**2 - 28. Let y(u) = 2*b(u) - 7*c(u). What is x(y(z))?\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -34.66 + 34.86. Which is the fifth biggest value? (a) r (b) 2 (c) -6 (d) -1\/16 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - s + 3*s - 2 = 0, -2*c - 17 = -3*s. Let j be -1 + 4 + c + 6. Solve 4*i = -4*o - 16, 2*o - 5*o + 4*i - j = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.654 + -0.5. Round z to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(19) - ((sqrt(95) - sqrt(95)*1) + sqrt(95))\/sqrt(5)) + sqrt(19) + -4*sqrt(57)\/sqrt(3))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of -2*g**5\/55 + 2148*g**4\/11 - 4613904*g**3\/11 + 4955332896*g**2\/11 - 2661013765152*g\/11 - 75. Factor t(b).\nAnswer: -2*(b - 1074)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -566 + 189 + b**4 + 186 - 19*b + b**2 + 189 + 5*b**3 as x + m*b**3 + k*b**2 + g*b + j*b**4 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -4*b**3 - 7*b**2 + b - 5. Let h be f(-5). Suppose 0 = 11*q - 389 - 304. Calculate the greatest common factor of h and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (32 + 51 - 23)*(-44*z + 44*z - 6*z**4) to the form p*z**3 + m + o*z**4 + t*z**2 + s*z and give o.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1*-2*(-111)\/(-12)*2. Suppose -b + 2*b - 41 = 0. Let x = r + b. Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2 + 5*b + 9. Let y(q) = -q**2 - 3. Give -2*y(w) - z(w).\nAnswer: 3*w**2 - 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 160657897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5203 - 7179 - 6878 = -1239*p + 5520 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 88847 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 1:39 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 18*p**3\/7 - 1506*p**2\/7 + 4464*p + 1512 = 0. What is p?\nAnswer: -1\/3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 4:12 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 + 212448102?\nAnswer: 212448087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 2*m + 4, -4*b - 3*m - 6 = -20. Suppose -9*o = 207 - 891. Suppose -5*g + o - 1 = 0. Sort b, -4, g in increasing order.\nAnswer: -4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 147008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 8:31 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*i = -8*i - 48. Let a be (3\/9)\/(14\/i). What is the second biggest value in -0.03, 2\/5, a, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 216883174, 216883173, 216883172, 216883171?\n\"Answer: -m + 216883175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.8 and 102.3568?\nAnswer: 81.88544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*x**3 - 6029*x + 6029*x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 138 and 117369?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeyywkkyyeyyyyqyyyb. Give prob of picking 1 y, 1 k, and 1 w.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14.7 - 14. Which is bigger: 0.08 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 13923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 8 = 1. Suppose -o - 4 = -s*o. Suppose -4 + 2 = -o*c. Put 5, c, -1 in descending order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2283\/515 or 5?\nAnswer: 2283\/515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 4:29 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -540 and -4.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) -39997 (c) -0.5 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 682.471371 - 0.385.\nAnswer: 682.086371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -248 - -754\/3. Suppose h = 2*o, 0 = 3*h - 2*h - 3*o + 2. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 88.4 + -88.5. Let l = -0.8 + -0.2. Is c <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/(-4) + ((-142580)\/(-8) - -1). Is ((-4)\/14 - x\/(-35))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -8. Suppose k + 0*k = -x. Is (-67)\/(-6)*k*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4 - -1)*(-8)\/(-20). Suppose 18*d - 2 = 17*d. Suppose -2*l + 3*l = 8. Solve -d*w = s*t - 4, -l = -3*w + 4*t - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -16, -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*j**3 - 2*j**3 + 4*j**3 + (-3 + 2 + 6)*(-j**3 - 4*j**2 + 4*j**2) - 1373*j + j**3 - 1381*j - 24*j**2 + 2756*j.\nAnswer: -2*j**3 - 24*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(597\/300 + -2). Let n = b - -158. Let q be (-2)\/((-1)\/((-2)\/n)). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most -1\/87674361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -5 * -12880\nAnswer: 64400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -2*q**5\/7 - 3382*q**4\/7 - 1421260*q**3\/7 + 1024384*q**2 - 8629248*q\/7 = 0. What is q?\nAnswer: -848, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**3 + 4*z**2 + 7*z + 8. Let a be i(-8). Suppose 344 + a = 19*s. Calculate the remainder when s is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8265243\/340 + 121547\/5. Find the common denominator of 81\/260 and g.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -4281428734812 and -0.3?\nAnswer: 4281428734811.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/6? (a) 123 (b) 2 (c) -31 (d) -1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22, 23, 10, -23, -82?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 6*g - 1)*(1 + 1 - 5).\nAnswer: 18*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1878 - 4155. Let i = -4198 - a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.3 and 38123838923.\nAnswer: 38123838922.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1.318, 3, 5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.995 + -0.005. Sort z, 1, 3\/11 in increasing order.\nAnswer: z, 3\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4.3, -2088\/55, 25?\nAnswer: -2088\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 123114103114 - 2?\nAnswer: 123114103112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(63)\/sqrt(36) - sqrt(7)) + (sqrt(252) - ((sqrt(252) + -1)**2 + sqrt(252) + 3)).\nAnswer: -254 + 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16942601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - 1110011111110111110000010010?\nAnswer: -1110011111110111110000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (110\/(-1375))\/(-3*1\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -112 (base 6) in base 3?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 286115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2937 less than -25440395926?\nAnswer: -25440398863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 5*b**2 + 35*b - 11. Let s be j(-9). What is the highest common factor of 1027 and s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 20 in 10588, -4, 64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - a = -15. Suppose 5*f + 12 = y, 0 = 4*y - 4 - 4. Let q be 0*((-5)\/f)\/(-5). Solve a*p - 5 - 15 = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + 32*o**2 + 25*o - 2717. Determine f(30).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 133580 and 400740.\nAnswer: 400740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 113\/10 and 52\/155?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -262*s - 1503. Let j be u(-4). Which is greater: -459 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Subtract -42.0045 from 2.\nAnswer: 44.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 42007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/3)\/((62\/155)\/((-324)\/60))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -723, -712, -685, -636, -559?\n\"Answer: f**3 + 2*f**2 - 2*f - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (5 - (7 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-162)\/7)\/((-6)\/(-42)). Let y be n\/12*8\/1. Let x = y - -233. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 + i. Let s(q) = -4*q**2 + 4*q - 7. Let c(o) = -o**2 + 5*o + 7. Let r be c(6). Let a(l) = r*s(l) - 5*p(l). Determine a(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m\/m**(17\/5))*m*m)\/m**(-10))**21 assuming m is positive.\nAnswer: m**(1617\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 484 and 1078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8670 + -8639. Solve 44*d - f*d + 13 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -79*p + 1051. Is 37 a factor of g(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the second derivative of x**5\/20 - 4*x**4\/3 + x**3\/3 - 5*x**2\/2 - 6*x. Let w be y(16). Let t = w - 15. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 - (8\/(-4) + 0). Suppose -2*p - 46 - 102 = -4*r, -g*r + 93 = 3*p. Suppose -f + 6*f - 3*k = r, 0 = -k. Which is greater: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oaj when three letters picked without replacement from {j: 8, t: 1, a: 1, o: 7}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes after 4:43 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 599822 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes before 6:52 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v**5\/6 + 2*v**4 + 25*v**3\/3 + 14*v**2 + 15*v\/2 = 0. What is v?\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1527*r*v**3 + 616*v**3 - v**2 wrt r.\nAnswer: -1527*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the first derivative of -68 + 0*s**2 + 6\/5*s**5 + 0*s + 0*s**3 + 1\/3*s**6 - 5*s**4. Factor o(f).\nAnswer: 2*f**3*(f - 2)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1473.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/3*o + 1\/3*o**2 + 0 - 1\/3*o**3.\nAnswer: -o*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 3 = l, -23*c + 22*c + 12 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*i + 40*i = 4*t + 6133, 4*i + 4*t = 4892. Let h = i - 1220. Factor 44\/5*p**2 + 14\/5*p**4 + 6\/5 - 26\/5*p - 36\/5*p**3 - 2\/5*p**h.\nAnswer: -2*(p - 3)*(p - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -190*l**3 + 19770*l + 19768*l + 1997*l**3 - 59311*l + 19771*l.\nAnswer: 1807*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11 and 312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 202 or 276?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = t - 2 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - a = -8, 0 = -2*g - 0*a - 4*a + 26. Suppose 7*y - 52 = g*y. Solve 4*m + 3*s = y, -m = -4*m + s + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6.1 + -1.1. Let w = p - 7. Which is the smallest value? (a) 0 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6 or -503\/72?\nAnswer: -503\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 3, o: 3, j: 2, v: 1, s: 3, n: 2}. Give prob of picking 1 o and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -511078, -511077, -511076?\nAnswer: -511075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 21208 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 86 - 80. Solve q = w*q + 5*u + 5, -u = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oeg when three letters picked without replacement from veovoveghooogeg.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express j**3 - 235*j**4 + j**2 - 9*j**2 + 236*j**4 as p*j**4 + x*j**2 + w*j**3 + q + k*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*y = 13865 - 641. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 111200 (base 4) to base 14.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - 1) + (21 - 27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 81048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134*r = -127*r. Suppose r = -12*l - 51662 - 223138. Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4074 and 2284350.\nAnswer: 15990450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5266188 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 510\/1211?\nAnswer: 510\/1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.073 - 217.8.\nAnswer: -217.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 142*m - 794. Calculate w(5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 162941 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 620153 is divided by 155034?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11647 + 11659. Which is the nearest to x? (a) 2\/3 (b) -2\/3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of 7*g**4\/12 - g**3\/6 + 35*g**2\/2 + 36*g. Find the second derivative of n(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11601 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the first derivative of c**9\/1008 + c**5\/40 - 2*c**3\/3 - 3. Let f(u) be the third derivative of t(u). Find the second derivative of f(m) wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2299*o - 107439 = 6572 + 5537 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23 - -60. Suppose p - 1 = 1, -3*y = 5*p - x. Let v = y + -8. Is 3\/8 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one half of a millennium in centuries?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of -n**7\/70 + n**6\/30 + n**5\/100 - n**4\/12 + n**3\/15 + 29*n + 25. Let b(a) be the first derivative of t(a). Solve b(w) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -47 - -48. Let m be 4\/12 - (p - 4\/6). Suppose -5*a + 803 - 213 = m. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:54 PM and 8:03 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.393 + -1.593. What is the closest to -2\/7 in 43, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -30*o**2 - 3. Let r(f) = -270*f**2 - 26. Calculate 52*n(k) - 6*r(k).\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 335279 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from jjjs?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25.1104 - -83575.\nAnswer: 83600.1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -11, -4, -6, -75, -13 in descending order.\nAnswer: -1, -4, -6, -11, -13, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -25009420 divided by 5\nAnswer: -5001884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 + 46 - 93)*(-3*b + 3*b + 2*b).\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-165)\/10)\/((-2)\/(-4)). Sort w, 4, -4.\nAnswer: w, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -8*o - 306. Let f = 54 + o. Which is bigger: 19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9 + 19 + 26*x**3 + 2 + 19*x**3 + 19*x**3 in the form z*x**2 + y*x + p*x**3 + k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.5 (b) -3 (c) -22 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/4*(-4 + 250). Let r = b + -48. Suppose -3*x + r + 78 = 0. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the second derivative of -251*m**5\/20 + 85*m**4\/4 - 191*m. What is the third derivative of n(q) wrt q?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -4*q**3 + 2*q**2 - 124*q - 1187. What are the prime factors of r(-18)?\nAnswer: 131, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3 - (3 - 2))*-25. Let l = g - -74. List the prime factors of 102\/l - 1\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -52 by 184.\nAnswer: -13\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*b - 12*b = 0. Let m(l) = 3 + l**2 - l**3 + b*l**2 + 5*l**2. Let d = 0 - -6. Give m(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j + 4*p - 8909 = 4*j, p = j - 1789. What is the greatest common divisor of 70 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 57 + -27. Suppose -2*y = y + l. Let a = 10 - y. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of -q**3\/3 - q**2 + 3. Suppose 3*i = c + 9, c - 23 = 6*c - 4*i. What is p(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -5005, -10015, -15001, -19939, -24805?\n\"Answer: 4*h**3 - 12*h**2 - 5002*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*j**2 - 3 + 2*j**3 - 8*j - 4*j**3 + 8*j to a*j + r*j**3 + q + m*j**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, s: 10, g: 6}. What is prob of picking 1 u and 3 g?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -17*g. Let m(b) be the first derivative of 9*b**2\/2 + 111. Determine l(m(y)).\nAnswer: -153*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r = -2*g + 44, -1492*r + 1493*r - 110 = -5*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(204)*3)\/(sqrt(48)\/(sqrt(4) - (sqrt(100) - sqrt(4)))))**2 + 2.\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.9 - -2.71. Let f = d - -0.18939. Round f to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6165813 is divided by 1027635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 18*p. Let h(r) = -2*r. Let g(o) = 52*h(o) + 6*l(o). Calculate g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 + 6*w**2 + w + 8. Let n be r(-6). Let f(o) = -o + 9. Let b be f(6). Suppose a - 32 = -5*x, a + 10 = -2*x + b*x. Solve n*l = x*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 4, t: 3}. Give prob of sequence tll.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the third derivative of j**5\/60 - 5*j**4\/24 + j**3\/3 - 63*j**2 + 15*j + 1. Let h(a) = 7*a - 1. Let k be h(1). Determine i(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1106 + -1105. Which is the closest to m? (a) -82\/7 (b) 2 (c) 1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnvvngvvnvgnvv. What is prob of sequence vvv?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 326057742 to the nearest integer?\nAnswer: 18057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1379 + 1380. Which is the fifth smallest value? (a) 0.3 (b) 27 (c) y (d) 2\/11 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in fifty-three fifths of a gram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - -2. Let j(u) be the first derivative of -2*u**2 - 5*u + 1. Calculate the remainder when j(-12) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (-7 + -7)) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f - 6*f - 2*f)*(5*f**2 - 65*f**2 - 55*f**2) + (-f - 5 + 5)*(0 + f**2 + 0).\nAnswer: 919*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9 or 242.27?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*m + 30*m - 1000. Suppose -3*c = v - 62, 6*v - v + 5*c = 330. Let y = m - v. What is y rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 4*n - 10 = -5*l, 12 = 4*l. Let i be n + (-4)\/10 + 85\/25. Solve 5*g - 8 = 3*t + 6, -4*g - i = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3059 + -3026.18. What is o rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 2*o = 21. Suppose u + 5*q - 962 = -2*u, o*q - 954 = -3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*b - 0*z + z, -4*b + 8 = -3*z. Is (-3)\/3*b - -20 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**3 + 10*w**2 + 9*w + 75. Give d(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -281*o**2 - 2*o + 280*o**2 + 324*o**3 - 326*o**3 + 0*o + 77 to x*o + v + y*o**2 + z*o**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3534931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 21 = -3*t + 4*t, n + t = -1. Differentiate r**n - r**4 + r**4 + 2*r**4 + 2 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnllnlllnhlnnnnnln. Give prob of picking 1 h and 3 l.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 881 + -880.8. Let q = -3 - -4. Let g = 0.2 + -0.7. Which is the second biggest value? (a) j (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, 4495713, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-609)\/108 - -4)\/(235\/188) and -17\/1895?\nAnswer: 17055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 111112 (base 3) to base 10.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 247*s - 259*s - 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*s + 8 = 75*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3 - 4) + (-1 - -8). Suppose -13 - 11 = -i*u. Let j be -1 + (3*2 - 1). Solve 0*f + 2*f - y = j, -y = u*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5153885 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/7 - 4304*y\/7 + 4306\/7.\nAnswer: -2*(y - 1)*(y + 2153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*g - 4 + 4)*(3 - 3 - g) + 2 - 2 + g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 + 4*a**2 + a + 1. Let t be n(-4). Let k be 6\/9 + (-10)\/t. Let q = k + -2. Let c(f) = 3*f + 1. Let i(g) = -g. What is q*c(d) + 5*i(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 - 16*w - 38. Suppose -31*l = -51*l - 120. What is the remainder when 57 is divided by d(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -3\/7 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -4 (c) -6 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 5 = 3. Suppose x*i + 0*i - 92 = 0. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 0.4856?\nAnswer: 0.14568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 11 = -5*b, 2*b = 5*w - 131. Let o = w - 12. Let j be 110*(-2)\/6*o. Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 - -1 - 40\/(-18). Let p = 48817 + -48821. Put 12, f, p, 5 in descending order.\nAnswer: 12, 5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 542193, 1084384, 1626575, 2168766, 2710957?\n\"Answer: 542191*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 325 - 3729867262?\nAnswer: -3729866937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-8)\/60 - (-186)\/45. Solve 3*v + 4*f + 15 = 0, -5*f + 2*f = w*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 134 by -67.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3380*h*p + 40438*h + 2*p**3 wrt p.\nAnswer: -3380*h + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162898862?\nAnswer: 2, 7, 17, 31, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 656, 656, 658, 662?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the second derivative of z**4\/3 - 3*z**3\/2 - z**2\/2 - 12*z. Let h(c) = 2*c**2 - 5*c - 1. Give 7*h(a) - 4*w(a).\nAnswer: -2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-147)\/1869*(-98)\/(-343)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 211507369?\nAnswer: 181, 457, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/910 and 191\/4368.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1851397119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -1. Suppose -26 = -x*l + 2*s, -l = s - 3 + 1. Let d(o) = o + 1. What is the least common multiple of 1 and d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4 + -7)*(-2 - -1). What is the smallest value in 4, d, -25, 0.5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8309041nm in meters?\nAnswer: 0.0000000008309041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**2 - 7*k + 87. Let g be p(0). Calculate the greatest common divisor of g and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 + 44*g - 320. Calculate v(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 - 4. Find the first derivative of 3*k + 7 - 3*k - g*k wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-3\/13)*i)\/i**(3\/11)*(i**(-3\/4))**(-16\/5))**(-30) assuming i is positive.\nAnswer: i**(-12426\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 227 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11.6 + 1.6. Let l = t - -5. Let n = 2987\/5998 - -6\/2999. What is the nearest to -1 in n, -3, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**2\/11 + 34*o + 613080\/11 = 0.\nAnswer: -468, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -877742, -877729, -877698, -877643, -877558?\nAnswer: -877437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1248409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 60 and 4359.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of -5*w + 1\/4*w**4 + 3 + 0*w**2 + 0*w**3. What is the first derivative of y(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 2*q**5 - 13102*q**4 + 28366164*q**3 - 19754027496*q**2 - 1174477304880*q = 0.\nAnswer: -55, 0, 2202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*t - 2040*t**2 - 15*t + 2094*t**2.\nAnswer: 54*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of -l**5\/20 - 2*l**4\/3 - l**3 + 4*l**2 + 55*l. Determine u(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 656268 + 347\nAnswer: 656615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -4\/5, 4, 1, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9.923 + 0.623. What is h rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the first derivative of -5*r**4\/4 + r**3\/3 + 3*r**2 + 5*r + 8. Let x(j) = 14*j**3 - 3*j**2 - 17*j - 14. Determine -17*n(h) - 6*x(h).\nAnswer: h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/15)\/(3\/((-54)\/12)). Let j be (-240)\/(-594) + 4\/(-18). Which is the second smallest value? (a) j (b) d (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 4*f = -0*f - 3, 4*f - 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of -3*g**2 - 13. Let t(k) = -5*k**2 + 4*k - 4. Let h(c) = -4*c**2 + 3*c - 3. Let b(i) = 4*h(i) - 3*t(i). Determine y(b(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5700 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -3532, -7044, -10556, -14068?\n\"Answer: -3512*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -75 + 78. Calculate the remainder when 2 + z - (-2 - 75) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*q**3 - 2*q**3 - 2*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 - 4*k**2 - k + 30. Let f be c(4). Solve 5*p + 46 = f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q = -20*q + 5*g + 3744, 0 = 2*q + 5*g - 1044. Calculate the greatest common factor of 56 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -429 (base 10) to base 6\nAnswer: -1553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, s: 1, j: 1, l: 1, o: 1, x: 2}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-359800)\/(-14) - (3 + -5)*-2. Calculate the greatest common divisor of t and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 4*b - 2439, 17*b = h + 15*b - 803. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*(i**(-2\/15)*i)\/i*i*i*i\/i**1*i**(-5)*i**(3\/13) assuming i is positive.\nAnswer: i**(-371\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2896597826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/9, -3, 11, 0 in decreasing order.\nAnswer: 11, 0, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -4300*q + 1. Let f(u) = -4*u. Determine f(p(n)).\nAnswer: 17200*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 4*z - z. Suppose 0 = z*c - 3*p, 0 = -5*c - 4*p + 4 + 41. Let g be 2\/(-2)*(c - 4). Which is bigger: -2\/21 or g?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w**4 + 34*w**3 - 34*w + 8 = 0. What is w?\nAnswer: -1, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) 48\/13 (c) -0.4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, 32, -1.25, -0.5, 1\/3, -4\/15, 5?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9\/(-6)*1472\/(-24)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -q - 5. Is -9 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -342 - 7*q + 6*q + 213 in the form z + x*q and give z.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*h + 3*h - 2 + 0)*(-31*h - 20*h + 21*h) to b + i*h**2 + n*h and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y - 3. Let i be n(-8). Let r be 3\/(i\/2 + -1). Find the second derivative of 2*x - 4*x - r*x + 3*x - x**2 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2609 - -2618. Solve p*m - k - 5 = 4*m, 3*k + 15 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 73.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4310647*w = 4310627*w - 800 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33 and 946.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84)\/sqrt(6))\/sqrt(2) + 2*(sqrt(7) + -3) + (sqrt(847) + (sqrt(847) - (sqrt(847) + 1)) + -2*(3 + sqrt(7)))**2.\nAnswer: -123*sqrt(7) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2923 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = k + 6. Let u be -1*170\/(-34) - 2. Let x(m) = -4*m**3 - 4*m**2 + 5. Let g(t) = -7*t**3 - 7*t**2 + 9. Give k*x(p) + u*g(p).\nAnswer: -p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-20)\/(-15)*342\/24. Suppose g*c = 18*c + 10. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 20\/41 (b) -1\/6 (c) 12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 777867941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/2 - 12\/(-42). Let k be (-1)\/(-4)*48\/(-56). Let u = c - k. Is 4 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 9*b - 96. Let j = 533 + -522. Calculate the remainder when 9 is divided by a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 - 33*d - 298. Determine o(-10).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:07 PM and 2:08 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -36835 divided by 1?\nAnswer: -36835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 - -1122400114301?\nAnswer: 1122400114302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*z + 54 = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -22*j - 9. Let g(s) = -2*s - 1. Let f(u) = -18*g(u) + 2*t(u). Let z(x) = -4*x + 3. Let d(h) = 7*h - 5. Let i(b) = 3*d(b) + 5*z(b). What is f(i(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 3, y: 2, d: 2, l: 4}. What is prob of picking 2 y and 1 l?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6 + 3 + (-16)\/4. Suppose -s*z - 47 = -4*f, 20 + 1 = 3*f + z. What is the remainder when 22 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 70 by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-a**2 - 3*a**2 + 5*a**2)*(0 - 8 + 0)*(3 - 7 - 2) to the form h*a**2 + r + k*a and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 481 and 3159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(147) + 0)**2 + -3.\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.7 - -0.3. Let m = 0.28 + v. Let i = m + 3.12. Sort -0.2, 1\/8, i in decreasing order.\nAnswer: i, 1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 3 - 7 + 68749*u**2 - 4*u - u. Let l be v(-4). Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.5 - 2.5. Let h = -7 + 44. Let k = h + -37.3. Which is the nearest to -2? (a) z (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/15)*v)**(2\/9) assuming v is positive.\nAnswer: v**(28\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 177.2 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -211 - s + 411 - 164 as r + v*s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 23, -568, 8 in increasing order.\nAnswer: -568, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1454)\/(-8) + 3\/72*6. Suppose 0 = 5*p + 8*p - k. Calculate the highest common factor of p and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 3*i**2 - 45*i + 20. Is c(24) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + 0. Suppose -m*n + 12 = 4*v, -2*v + 2*n + 4 = -2. Solve -3*c + 3*y = 6, -y + 1 = v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-261)\/(-29) - (5 - -3). Let w(h) = -9 + 5 + 1 + 4. Let z(i) = -i**2 - 3*i + 6. What is g*z(n) - 6*w(n)?\nAnswer: -n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 29803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i + 7*l = 6*l - 1, -i - 17 = -4*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**(-13)\/f)\/((f*f*f**17*f*f)\/f)*f*f**10*f**(4\/9) assuming f is positive.\nAnswer: f**(-185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 - 7. Sort r, -17, -4 in descending order.\nAnswer: r, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -837 = -6*l + 1821. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 367345 is divided by 950?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 412 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -70368 (base 9) to base 8.\nAnswer: -132230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -2*j**3 + 25*j**2 + 2*j - 17. Let r be t(12). Let w = r - 151. Which is smaller: w or -8\/29?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.8 - 1.3. Which is the biggest value? (a) 0 (b) g (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 - -2 - (-7 + (-10 - -27))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 + -3. Suppose 3*p + 34 = 7*p + n*o, -3*o = -4*p + 46. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80 and 24910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/45 of a day in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4753676 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-30)\/(-368)*2 + (-5)\/20?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -106 - -164. Calculate the common denominator of 3 + (j\/24 - 8\/(-6)) and (-1 - (-8)\/10) + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from helhlhlhnxxnhnlphn. Give prob of sequence nn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1991687*j**4 + 4337889*j?\nAnswer: 23900244*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 3*j. Let x be (2 - 3 - 1) + 2. Let a be 8 + x - (-1 + 3). Let b(t) = -3*t**2 - 5*t**2 - t**2 + a*t**2. What is o(b(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 - 40*y - 4*y**2 + 8*y**2 - y**2 - 6*y**2.\nAnswer: -2*y**2 - 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 17*y**2 + 7*y + 101. Is a(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence di when two letters picked without replacement from {t: 1, i: 1, q: 2, m: 2, a: 2, d: 5}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 2*w = -6, -w = a - 2 + 4. Let o = a - -9. Let b(c) = 0*c**2 + 7 + c**2 - o - 2*c. What is b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 328 (base 16) to base 4.\nAnswer: 30220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*q + 66*q**2 - 35*q**2 + 27*q - 30*q**2 to p*q**2 + u*q + f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -26, -105, -228, -389, -582?\n\"Answer: x**3 - 28*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -102708902 divided by 1.\nAnswer: -102708902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 3 - ((-70)\/(-84) + 118\/36).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 115 + -110. Suppose p*q = 2*r - 1324, -2*r - q = -2*q - 1340. Does 65 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - s + 5*s = -41, n + s - 1 = 0. Solve 3*a = n*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 4*z + 20 = -15, 19 = 3*m + 2*z. Let v be (-264)\/(-8) - 0\/m. Let c = 45 + -23. Calculate the greatest common factor of c and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - -3 - 2 - -3 - (40 - 44)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -7. Let o be (-26)\/(-39)*15\/(-2). Let n = -0.8 - 0.2. What is the biggest value in n, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/4)\/a)**5\/((a\/(a*a\/(((a*a*a**(1\/4)*a)\/a)\/a)*a))\/a)**(-40)*(a*a*a*a\/a**(-7)*a*(a**(-1)\/a)\/a)**(-20) assuming a is positive.\nAnswer: a**(-1015\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 489 and 1372786?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -6 by 163306.\nAnswer: -3\/81653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/(-84)*((-598)\/(-276) - (-6)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5580886 or -5580885?\nAnswer: -5580885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -26 - -11. Let k(r) = -r**3 - 13*r**2 + 30*r + 3. Let j be k(o). Solve -2*b + 4*y = -12, 1 = 2*y + j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*1*(4*sqrt(52))**2.\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n + 44 - 25 - 15. Give c(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m + 223*m**3 + 9*m**2 + 258*m**3 + 2 - 484*m**3 to the form u*m + i*m**3 + a*m**2 + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3175002004?\nAnswer: 2, 8429, 94169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -2*p + 2, -p = 3*p + 5*l - 1. Suppose 0 = p*c + 18 + 2. Let h = 0 - c. What is the greatest common factor of 40 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 30 or -66?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1509)\/(-22635) - (2\/(-35))\/((-36)\/21)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 - 5*y - 8. Determine k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 253, 323, 323, 253, 113, -97?\n\"Answer: -35*m**2 + 175*m + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*u - 2*h - 4 = -83*u, -2*u - 50 = 3*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 210 = -28*c, -519*l = 4*c - 538*l - 286 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 9, -1, 14 in descending order.\nAnswer: 14, 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -621, -2847, -6679, -12117?\n\"Answer: -803*d**2 + 183*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 69196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 3*z + 6. Let d be c(-4). What is the units digit of (-5 - d)*(-7)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 175, 184, 195, 208, 223, 240, 259?\n\"Answer: q**2 + 6*q + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 3*b + 1 - 1 - b + (2 - 2 - 1)*(b + 1 - 1) - 2*b + 0 + 0 + (b + 3*b - b)*(0 - 2 + 1).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (((sqrt(1900) - (sqrt(1900) + 1))*4 - (0 + sqrt(1900))*-5)*-6)**2 + -2.\nAnswer: -14400*sqrt(19) + 1710575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/7 + 18\/7. What is the second derivative of -2*w**2 + 5*w + 4*w**r + 5*w**2 + 0*w**2 wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100001 + -100010011?\nAnswer: -11110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f = -4*f + 1331. Let t = -1028 + 1094. Calculate the greatest common divisor of t and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1513364152 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1972, -1995, -2016, -2035?\n\"Answer: y**2 - 26*y - 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 131 and 107510390?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1924418418 by -2.\nAnswer: -962209209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8\/11 in -6, -0.92, 0.5?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 + -9. Suppose 0 = 2*w - h*w + 2992. Suppose -7*l - w = -11*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:38 PM and 1:50 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 12180\/13 (c) -5 (d) -2\/9 (e) 2\/13 (f) 39 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in thirty-seven halves of a millennium?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*7\/(126\/(-6)))\/((-850)\/50).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -93.5 - -93. What is the third smallest value in 1\/6, o, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 56 and 6.1581.\nAnswer: 344.8536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3796393908 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.3017 - 0.4017. Is 0.43 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.992 + 0.008. Which is the second smallest value? (a) 2\/17 (b) f (c) -3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 - 36*q**2 - 35*q - 10. What is d(-35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 1.5, 2\/15, -29?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 420563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 5*i - 42 = 0, 5*i - 7*i = -4*o + 28. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -152.114884 - -0.176884. Let o = 152 + p. Which is smaller: o or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 404.51338 + -404.5. Round r to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 37 = h, x + h - 31 = -x. Suppose -398 = -x*d + 350. Solve 0 = -41*s + d*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 4, n: 2, r: 1, u: 4}. Give prob of sequence rnn.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0616 and 82.6.\nAnswer: -5.08816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 3*p - 24 = -3, 13 = -3*b - p. Is b at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((50\/40)\/((-35)\/(-16)))\/(10\/175)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2170537 is divided by 723499.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -136*c**2 + 174*c + 9. Let o(n) = -3*n. Determine o(a(j)).\nAnswer: 408*j**2 - 522*j - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:35 AM and 2:35 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15 + -14.999996. Round k to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30 + -15 + (-18 - -4 - (-30 + 21) - -16)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 4*m - 2. Let j = -11 + 13. What are the prime factors of x(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (160\/(-336)*14)\/(31\/((-9114)\/56))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 149216 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - -d00?\nAnswer: cfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, 5, 12, 4, 1 in descending order.\nAnswer: 12, 5, 4, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -165 - -168. Let x = 0.13 + -5.13. Sort s, -0.2, 5, x in ascending order.\nAnswer: x, -0.2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 28? (a) -5 (b) -81.4 (c) -2\/15 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15838 is divided by 989.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 - 39*z**2 - 41*z - 2740. Calculate c(43).\nAnswer: 2893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 56c2b - -39?\nAnswer: 56c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 432 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2504)\/(-2) - (-54 - (-1625)\/25). Solve 11*q + x = 1274 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:20 PM and 8:12 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c - 1. Let i(w) = -4*w**2 - 5*w - 4. Let t(n) = -6*d(n) + i(n). Let o be t(-1). Let f be o\/(-2) - (-40)\/16. Solve f*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 806, 863, 936, 1043, 1202, 1431, 1748, 2171?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 + (-5)\/1 - 590\/(-196). Which is smaller: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from tlhzltlhlqt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is m in -m**2\/6 - 1780655*m\/6 + 1187106 = 0?\nAnswer: -1780659, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2184441440 to the power of 1\/4, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -61 + 58. Let u be (-3 + (-21)\/(-9))*h*1. What is the third derivative of -9*j**2 - 15*j**5 - 6*j**5 + 15*j**u wrt j?\nAnswer: -1260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 126 = -3*w + 122, 0 = 4*w + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 + -27 - (-12 + 13). Let w = f - -22. What is the tens digit of 330\/15*w\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from qqiqz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/5, 69, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -51988 by -164.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*o - 22*o = -12. Suppose 5*k + 88 = 4*t + 2*k, 0 = 4*t + o*k - 60. Suppose -2*r = 4 - 26. Calculate the remainder when t is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -584, -576, -564, -548, -528, -504, -476?\n\"Answer: 2*g**2 + 2*g - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u**2 - 42*u + 211. Let q be o(27). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -2\/3 (c) 49 (d) 0.1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-6)*6*10\/(-75).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1645 = 185*k + 551 + 209 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 374b8a (base 15) to base 2.\nAnswer: 1010000110101000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3132639 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 2*q**3 - 5*q**2 - 7*q - 3. Let d(m) = m**3 - 6*m**2 - 5*m - 4. Let w(n) = -3*d(n) + 2*y(n). Calculate w(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -20*a**3*v - 577*a**3 - 8*a**2*v wrt v.\nAnswer: -20*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 PM and 10:38 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 9*i**2 + 994*i - 1989*i - 215*i**2 + 1001*i as q*i + f*i**2 + m and give f.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1150778*t + 1075177?\nAnswer: 1150778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, k: 3, f: 2, t: 1, j: 3, z: 3}. Give prob of picking 1 t, 1 f, and 1 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1034959 times -1?\nAnswer: -1034959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -72, -82, -106, -150, -220, -322, -462?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 20*p. Let m(t) = -80 + 3*t**2 + 80. What is l(m(i))?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*l + 22065 - 11031 - 11034 - 10*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c**1\/c*c)\/c))**(11\/5))**(5\/6)*(c**(1\/4)\/(c\/(c\/(c\/c**2*c))))\/((c\/((c*c*c**1*c)\/c)*c)\/c*c**5) assuming c is positive.\nAnswer: c**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 6*m + 2 + 5*m)*(0*m + m - 7*m) + (3 - 3 - 2*m)*((-4*m + 4*m - 2*m)*(-1 + 0 + 3) + 3 - 3 - 2*m) to j*m + i + s*m**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 110230341009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 85494 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwb when three letters picked without replacement from lwlblblblbblwll?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 960?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 349842 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 339 and 142284?\nAnswer: 16078092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -3641 (base 7) to base 12\nAnswer: -948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1295998 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p - 3. Let x be s(-8). Suppose -x*q - f + 179 = 0, -5*f + 28 = 8. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fgqykkfkgkqgkkfgk. Give prob of picking 1 f and 1 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 459*u + 860*u - 7142*u to the form c + w*u and give w.\nAnswer: -5823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 497683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 2\/3, -83, -0.3 in descending order.\nAnswer: 2\/3, -0.1, -0.3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -3558 - 74.\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/5, 41540, -2, -3\/7, -1, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j**(3\/7)*j)**(-26)\/(j*j\/((j\/(j*j**(-2\/17)))\/j)*(j**6*j)\/j) assuming j is positive.\nAnswer: j**(-11665\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**3 + 2*h**3 - 3*h**3 + (-3*h**3 + 0*h**3 + h**3)*(3 + 2 - 4) - 3*h + 3*h - 3*h**3)*(21*h**2 - 13*h**2 + 29*h**2).\nAnswer: -222*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 + 9*h**2 - 5*h - 5. Let t be 4 + -4 + 12 - 3. Let g(p) = -p**3 + 8*p**2 + 11*p - 12. Let n be g(t). What are the prime factors of l(n)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l**4\/8 + 14556*l**3 - 753321519*l**2\/4 + 812143364571*l + 6498653676057\/8 = 0 for l.\nAnswer: -1, 12939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11261 is divided by 291?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -w - w + 0*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(209) + sqrt(209)*1*-1 - -4*(sqrt(209)*-2 + sqrt(209) - sqrt(209)))\/(3*(sqrt(1331) + sqrt(1331)*1 + sqrt(1331))).\nAnswer: -8*sqrt(19)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -4*w + 15 + 23, 2*w = f + 12. Let a = 7 - w. Suppose -3*u + 13 - 1 = a. Solve -u*h + 13 = -2*o - 3*h, -4*o + h = 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252201 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: How many minutes are there between 6:03 AM and 3:41 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 4. Suppose s*n - 11 = -1. Solve n*v + 13 = -3*j, -2*v + 28 = -3*j - 7*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 35*c - 5. Let d(x) = 64*x - 9. Let j(u) = -6*d(u) + 11*o(u). Let l(t) = -5*t. Let v(r) = 4*j(r) + l(r). What is v(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 137872 and 25552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 - -5. Suppose 0*q + 3*q = l. Solve 0 = -2*o + 10 - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (29 - 39 + 73)*(-y + y + 2*y) to c*y + v and give c.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h + 18. Let r be x(13). Suppose 0 = -0*a - r*a - 35. Let g(d) = 2*d**2 + 10*d + 1. Let p be g(a). Calculate the greatest common divisor of 29 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2\/6 - 49814039*j\/2 - 74721058\/3.\nAnswer: -(j + 1)*(j + 149442116)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a + 6. Let q be f(4). Suppose 3*k = q*p + 14, -2*k - 1 = -k + 5*p. Solve -16 = k*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 3*t**3 + 2*t**2 + 2. Let m = -15 - -29. Let f(k) = -13*k**3 - 11 - m*k**2 + 2 + 5*k**2. What is 2*f(q) + 9*s(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 2*k**5\/5 + 12*k**4\/5 - 4*k**3 - 32*k**2\/5 + 66*k\/5 - 28\/5 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 19, 218, 2\/27, -2?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42500773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -4*i + 20. Solve 5*n - 2*b = -i, 2*n = n + 4*b - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9782 + 44170. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82 = g + 2*z, 0*g - 4*g - 3*z = 343. Let l = -29 - g. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*r**3 + 449*r**3 + 367*r**3 + (0*r**2 + 0*r**2 - 2*r**2)*(r + 0 + 0) + (r**3 + 0*r**3 - 4*r**3)*(1 - 2 + 0).\nAnswer: 811*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 3*s**4 - 4*s**3 + 4*s. Let n(x) = 10*x**4 - 11*x**3 + 12*x. Let z(c) = -4*n(c) + 11*u(c). What is the second derivative of z(y) wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -207\nAnswer: -1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of n**7\/420 - n**6\/120 + n**5\/40 - n**4\/4 - 4*n**3 - 1. Let y(i) be the third derivative of a(i). Is 9 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13956586 and 294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - 11010110221120112?\nAnswer: -11010110221120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y**5 + 52*y**4 - 228*y**3 + 352*y**2 - 238*y + 60 = 0. Calculate y.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 0*l - 8 = 0. Let a(q) = q**3 + 4*q**2 + q + 5. Let g be a(l). Let v = -19\/15 + 167\/120. Do g and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 74 - 45. Let v = 91 - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 514, 3, -1, 4, -2.\nAnswer: -2, -1, 3, 4, 5, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n**3\/7 + 24*n**2\/7 - 3*n\/7 - 18 = 0 for n.\nAnswer: -2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 - -9. Suppose -4*c + 3*a - k = 0, 0*a - 3*a = -c - 15. Let z be 1*-2 + (-26)\/(-12). Which is greater: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2. Let c(n) be the third derivative of n**4\/24 + 5*n**2. Determine u(c(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*z = -17*z - 11700. Suppose -3*v + z = 7*v. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -4, 3, -0.2 in decreasing order.\nAnswer: 3, 1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 292, -2 in ascending order.\nAnswer: -2, 4, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7083, 7082, 7081?\nAnswer: 7080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7556946 is divided by 1090.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 288, 998, 2118, 3654, 5612, 7998, 10818?\nAnswer: 14078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1790291647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 21.1 + -19. Let p = -2 + i. Which is the second biggest value? (a) 4 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 8082825, 8082823, 8082825, 8082831?\n\"Answer: 2*n**2 - 8*n + 8082831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19146, 22537, 25928?\nAnswer: 29319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 59529 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of s**3\/3 + 2*s**2 - 19*s - 1777. Calculate k(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 787, 788, 789, 790, 791, 792?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6200, 4686, 3172, 1658?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1587521?\nAnswer: 13, 122117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*c - 3. Suppose 4*y + a = -6 - 11, -5*a = -5*y + 10. Let o = 5 + y. Solve c*j = 3*j - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u - 4 + 4)*(12 + 1 + 13 - 26 + 2 + 0 + (-2 + 1 - 1)*(1 + 4 - 3) + 3 - 4 + 3 + 3 - 5 + 4)*(-4 - 3 + 5).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 11*q = 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-294)\/(-28))\/((-3)\/4). Let q = -9 + b. Let z be (-1)\/(1 + 24\/q). Solve -8 = 3*s - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (76 - 150 - -108) + 20 + -2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 271.4 - 251. Let j = 20.5 - t. Is 50 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -199 at least as big as -201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3*(-2)\/(-2))\/(((-756)\/(-8))\/3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -419.9032 - -420. Let i = f + 0.0032. Let j = -5.02 - -0.02. What is the closest to i in 5\/3, j, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-5\/7)*p\/p**(-4)*(p\/(p\/(p**7\/p))*p)\/p**(1\/3) assuming p is positive.\nAnswer: p**(230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 - 4*a - 8. Let c be f(6). Suppose -5*r - 38 = 32. Let t(v) = v + 9. Let n be t(r). Put c, 3, n in decreasing order.\nAnswer: c, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - (12\/10 - (-6)\/(-30)). Let b be ((-63)\/42)\/((-1)\/y). Solve -b*i = -2*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 1:07 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 400 is divided by 62?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.7097 + 2.73. What is f rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 66, 252, 562, 996?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 2*h**2 + 6*h - 11. Let a be v(6). Let m be 3 + 91 + 10\/5. Which is bigger: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3\/2 + 2391882*p**2 - 9567534*p + 9567536.\nAnswer: (p - 2)**2*(p + 4783768)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 3 + 19 = 0. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -85*l**2 - 78*l - 5. Let d be x(-1). Put -1, -50, d, -4 in decreasing order.\nAnswer: -1, -4, d, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 16, 271\/85, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.08 (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2 - (-181)\/(-2))*32\/160 and 113\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1016 + 124. Let y = z - -5003. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u + 3. Let w be f(-6). Let x = w - -7. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 - 8*f**2 - 5*f + 1. Determine d(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes before 1:58 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 33 - 30. Let j be q\/(-4 - 13948\/(-3484)). Suppose 697 = 8*v - j. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-39 + (-961)\/(-31))*-10*4\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -4*t**3 - 2*t - 1. Let b(a) = -a + 2*a**3 - 4*a**3 + 0*a**3. Let y = 33588 + -33593. Calculate y*b(n) + 3*s(n).\nAnswer: -2*n**3 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 105831, 105873, 105961, 106119, 106371, 106741, 107253?\n\"Answer: 4*o**3 - o**2 + 17*o + 105811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -5. Let t(p) = p**3 + p. Let o be t(0). Let w be (o + (-3 - -3))\/2. Which is the second biggest value? (a) k (b) -2\/17 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -839.\nAnswer: -335.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - 5809?\nAnswer: -5810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the first derivative of m**3\/3 + 7*m**2\/2 + 6*m - 1. Let y be w(-6). Let l(r) = -r + 7. Determine l(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -46 + -18133?\nAnswer: -18179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -83 divided by -33\nAnswer: 83\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2 + 894*y + 1784.\nAnswer: (y + 2)*(y + 892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -2873*d - 107522. What is b(-37)?\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 10, -4, -44, -122, -250?\n\"Answer: -2*u**3 - u**2 + 3*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -d**4 + 8155*d**3 - 146537*d**2 + 577805*d - 634686 = 0.\nAnswer: 2, 3, 13, 8137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -3*d**3 + 6*d**2 - 7. Let i(w) = -4*w**3 + 7*w**2 - 8. Let s(o) = 4*i(o) - 5*r(o). Determine s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 AM and 8:31 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15459017\/205 - -75410. Calculate the common denominator of b and -66\/95.\nAnswer: 3895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -290*z**2 - 11 - z + 2 + 3 + 295*z**2 + 1 + 5.\nAnswer: 5*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + 2*b**3 + (-2*b**2 - 4*b**2 + 5*b**2)*(-b - 3*b + 2*b) + b**3 + 2*b**2 - 2*b**2 + 3 + b**3 - 3 + 37*b**2 + 940*b**3 + 18*b**2 - 938*b**3.\nAnswer: 8*b**3 + 55*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o. Let l(d) = -d - 1. Let j(q) = -2*a(q) - l(q). Let p(t) = -2 + 1 - t + 4 - 3*t. Calculate -7*j(u) + 2*p(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/24 and -77\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 4*v**2 + 2*v - 14. Let y be ((-56)\/(-140))\/(21\/20 + -1). Let p be j(y). List the prime factors of p\/(-10)*(-3)\/(6\/10).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/2662 and 77\/4.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 7:59 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (112 - 112 - 45*v)*(-4*v + 7*v + 16*v).\nAnswer: -855*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-22)\/(-66))\/((-9)\/96). Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - w**2 + 3*w. Let t(r) = -r**2 + 2*r + 1. Calculate -3*t(f) + 2*v(f).\nAnswer: -2*f**3 + f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -27.1479361 rounded to 2 decimal places?\nAnswer: -27.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -34, 9, -4, 0, -3, -2, 5107 in ascending order.\nAnswer: -34, -4, -3, -2, 0, 9, 5107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 9*o**3 - 82*o**2 + 179*o - 797. What is g(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.55 + -1.498. Which is the fourth biggest value? (a) 0.1 (b) 4 (c) f (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 45 = -n. Suppose 3*m + 3 = n. Let h = -26 + 31. Solve -4 = -2*g + m, h*d = -3*g + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1977477523 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15*x**6 + 841*x**4 + 44881*x**2 wrt x?\nAnswer: 1800*x**3 + 20184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 272 and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 68859 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 - 23*h**2. Let n be u(-23). Let v = 15 + -16. Sort n, v, -5 in increasing order.\nAnswer: -5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7671475 is divided by 1382?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 13188092597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(210)\/sqrt(5) + sqrt(126)\/sqrt(27))\/(sqrt(54) - (sqrt(54) - sqrt(270)\/sqrt(5))*-2).\nAnswer: -14*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 609609?\nAnswer: 3, 7, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 191 divided by 191.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 751 = -5*d + 369, 4*d = -o + 896. Solve -16*n = 16*n - d for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 30*q**2. Let x(h) = 2*h**2 - 113. Give x(t(s)).\nAnswer: 1800*s**4 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*-4)\/((9315\/(-483))\/135).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*j**3*s**2 - 3*j**2*s**2 + 6*s**2 + 4*s with respect to j.\nAnswer: -12*j**2*s**2 - 6*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 17 in 2\/7, -9, -12.97, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 - -3. What is the remainder when -4 - (-39)\/3 - u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 39 - 60. Let j = p - -34. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*g - 6*g. Solve 0 = -2*c + 4*c + 5*t - 19, 5*t - g = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 12373218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -3*f + 185*f**3 - 185*f**3 + 5*f + 36 + 3*f**4 in the form y*f**2 + d*f + o*f**3 + q + w*f**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 85684 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c + 0 + 0)*(0 + 5 - 3)*(-3 + 0 + 6).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9\/(-4) - 399\/228. Let q(j) = -10*j - 3. Determine q(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 1140*c + 8. Let k be a(1). Suppose 14*d = b + 9*d - 558, -2*d - k = -2*b. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 0. Solve 2*n = 5*w - s - 6, -5*w + n + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*r**2 + 0 - r**3 - 8 - 3*r**2 + r - 6 - 5*r**2 as g*r**3 + j*r + d + q*r**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do -3905702 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1153, 4589, 10315, 18331, 28637, 41233?\n\"Answer: 1145*b**2 + b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -642 (base 10) to base 11.\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 16*m - 12*m. Let o = m - 15. Let a be 39\/o + (4\/(-3))\/4. Solve 8*h = a*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-38)\/((-42)\/(-9) - 4). Let r = 57 + u. Solve -i + 2*d - 1 = 0, i = -4*d - 13 - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1010011010101 (base 2) to base 11.\nAnswer: 4009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -25*k - 47. Let n be x(13). Is n\/(-28) - (-6)\/(-21) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 481400667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 221323476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13288277.\nAnswer: 19, 699383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 15845483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m + 1 - 34. Suppose v + v - 8 = 0. Suppose -v*a + 5*p + m = 0, -7*p + 3*p = -20. Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**2 + 6. Let a be w(0). Solve 38 - a = 8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 11*d**2 + 167*d + 4. Calculate t(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*x + 100 = -0*x. Solve 2*b + y - 5*y - x = 0, -3*b + 2*y - 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-72)\/27*(-3)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 11*u**2 - 14*u - 3. Let c(a) = 3*a**2 - 5*a - 1. Let d(s) = -8*c(s) + 3*q(s). Let x be d(1). Solve 0 = -2*r + x - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/64 of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 385886 and 4791945.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1494, -3, 0, -268, -5 in ascending order.\nAnswer: -1494, -268, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1046129 and 9027.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.038 - -28.638. Let t = -40 + n. Let c = 0.4 + t. Does -0.1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 358 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**3 - 2*n**2 + 5*n - 2. Let h(w) = -3*w**2 + 3*w + 3. Let f be h(-1). Let k be t(f). Put -3, -2, 1, k in descending order.\nAnswer: 1, -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 987894.6 millilitres in litres?\nAnswer: 987.8946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 158092.\nAnswer: 2, 11, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((32\/(-60))\/4)\/((-1)\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f**5\/9 - 40*f**4\/3 + 104*f**3\/9 + 352*f**2\/9 - 12*f - 232\/9 = 0 for f.\nAnswer: -1, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0154594424 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 1:51 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 + 10. Suppose t*r - 2*r + 20 = 0. What are the prime factors of 0 - 6\/r*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 63 + 61*u - 63 + (0*u + 2*u + u)*(-1 - 3 + 6) + 2 - 2 + u + (1 + 6 + 1)*(-2*u - 3 + 3) as r + m*u and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + 4327494.\nAnswer: 4327499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 10665418 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -556 (base 16) to base 3.\nAnswer: -1212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/11 - 5400\/(-13365)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -j + 6. Let p(a) = a**2 - 21*a + 121. Calculate the smallest common multiple of p(11) and j\/(2 + 15\/(-8)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -164.733 * 3.6.\nAnswer: -593.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1232105 divided by -107.\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r - 3*r + 10*r + 2.\nAnswer: 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6893901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 609554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3a1635 + -29?\nAnswer: 3a1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 575*h**4 - 1071.\nAnswer: 2300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the third derivative of s**4\/4 + 43*s**2 + 3*s. Let m(z) = -2 + 2*z**2 + 2. Calculate m(j(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 86098?\nAnswer: 2, 43049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.775 - -90.775. Sort -3, t, -4.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000001952 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 231\/(-6)*(-25 - (-35 - -8)) + 6\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 44213\/4 - 486965\/44. Let l = z - -62\/11. What is the common denominator of -41\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 900 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/3 (b) 14 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 944*x + 2915 + 1791 = 3762 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of -h**5\/15 - 11*h**4\/9 + 112*h**3\/9 - 40*h**2 - 5767*h. Let y(u) = 0. Calculate u.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -13*g - 4. Let y(r) be the third derivative of -13*r**4\/12 - 7*r**3\/6 + 1381*r**2. Determine -5*n(x) + 3*y(x).\nAnswer: -13*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.17 + -1.87. Let l = 11.7 + f. Let p = 9.47 - 5.47. Put l, p, -2 in increasing order.\nAnswer: -2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -98, 1\/5, -562601?\nAnswer: -562601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-40)\/20)\/(1\/(-2)). Suppose -d = -f*d + 12. What is the third derivative of 107*b**4 - 96*b**4 - 5*b**2 - d*b**2 wrt b?\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -55947*o*v**2 + 5944*o*v - 682*o - 83*v**2 - 2*v wrt v?\nAnswer: -111894*o - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.305054 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.43 - 0.08. Let t = 0.05 - x. Which is the closest to -1? (a) t (b) 1\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -n - n. Solve n*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 - 231*o**3 + 35 - 5*o**2 - 77 + 0*o**2.\nAnswer: -231*o**3 - 5*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -816902 or -816904?\nAnswer: -816902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12 - -3) + 17 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 - n**2 - 7*n. Let x be d(3). Let f be ((-1)\/(x\/(-2)))\/(-2). Which is the nearest to -0.1? (a) -2 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -104 - -93 - (-6 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be -7 + (-12)\/(-4) - -128. Round f to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 11*j + 63. Let z be h(-7). Let p(x) = -30*x - 58. List the prime factors of p(z).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 + o**2 - o - 1. Let v be g(4). Suppose -4*m = m + v. Let p be (-7)\/m - (-3)\/15. Which is the closest to p? (a) -4 (b) 0 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000085632 rounded to seven decimal places?\nAnswer: -0.0000856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/8*(-988)\/91)\/((84\/(-8))\/7).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 11*k - 1. Let o be d(1). Suppose -o*w + 170 = -5*w. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 3*m = 21, 7*o - 2*o - 89 = m. Let h = o - -11. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**4 - 72*l**3 + 72*l**2 + 64*l - 70. Let h(o) = -2*o**4 + 2*o**3 + 6*o - 1. Let f(s) = 2*b(s) + 2*h(s). What is g in f(g) = 0?\nAnswer: -71, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3717?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1951159 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (15\/(-10) - 0)*4\/3. What is the units digit of (3\/j)\/(-3)*170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - 2. Let q = -1 - p. Let b = -1\/27396 - 54787\/136980. Is q > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.99+-290560939\nAnswer: -290560940.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the first derivative of q + 4 - 7\/2*q**2. Let w be c(3). Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3d + d6?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 174 * 1.1.\nAnswer: 191.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.6 times -2.5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the second derivative of -2*u**2 - 12*u + 7\/6*u**3 + 0 - 1\/12*u**4. What is q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 434 + -176. Suppose -x + 4*x = l. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 53\/(-848) + (-175057)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*f + 69*f - 107*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(2 - 26\/14). Solve 4*u = -r - k, -3*r - 4*u - 19 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (14\/(-21))\/((-1)\/(-3)). What is the units digit of ((-6)\/f)\/(2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 93*b. Let w(c) = -109*c**2. Determine w(p(v)).\nAnswer: -942741*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3992 (base 10) in base 12?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -43 + 48. Suppose -5*v = 5, -28 = -q*t - 4*v + 63. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 3. Suppose 0 = -11*d - 597 - 690. Let c = d - -112. Sort c, g, -4.\nAnswer: c, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.3 (b) -4\/3 (c) 0.5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 211617 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*n + 430 - 129. What is the highest common divisor of n and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 10 = 3*b. Solve -b*d + 4 = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6\/11 in -0.1, -0.3, -3.2, -0.0989, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17123*o + 12*o**3 + 17123*o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 34, -4, 0 in decreasing order.\nAnswer: 34, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*j - 8*j - j)*(-2*j + j + 0*j) + (22*j - 46*j + 25*j)*(-2*j - j + j) to the form t*j**2 + l + d*j and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 783?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -121120220 + 2102?\nAnswer: -121111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of -5\/12*a**4 - a**2 - 17 + 0*a + 5\/2*a**3 - 1\/12*a**5. Solve y(c) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 52\/16*(-16)\/(-4). Which is bigger: m or 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120 = -60*n + 55*n. Suppose -a + 3*a - r = -29, -2*a + 2*r = n. Let d(j) = -7*j - 5. Let s(q) = 9*q + 11*q + 17 - 3. Determine a*d(b) - 6*s(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-559)\/172*(3 - -1) - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.138 - -0.138. Put 0.9, 2\/3, g, -0.2 in ascending order.\nAnswer: g, -0.2, 2\/3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 5*q = 989 - 219, -2*q = 5*g - 1304. Is 52 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of -11*o**5\/4 - o**3 - 3*o**2 + 598*o. Let h(f) = 605*f**3 + 65*f + 65. Give 6*h(z) + 65*q(z).\nAnswer: 55*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l + 51362 = -18903. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/45)\/((-2)\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 + 60 = 5*l. Suppose l = 2*u + 13. Let w(t) = -10*t + 11. What is the tens digit of w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o = -33*r + 10*r + 17*r - 29, -2*r - 5 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 4)*(4*l + 4*l + l)*(3*l**2 - 2*l**2 - 2*l**2).\nAnswer: -54*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1243155 divided by -690\nAnswer: -82877\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 18*c**4 - 106*c**3 - 12*c**2 = 0.\nAnswer: -1\/9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 150111763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 99570*a**2 + 19400*a?\nAnswer: 199140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 418 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/611 and 151\/181090?\nAnswer: 8511230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/323882 and -95\/298968.\nAnswer: 3886584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of h**2 + 7*h + 6. Let a be (0 - (-3)\/(-6))*6. Let p(x) = -2*x - 8. Let c(r) = a*p(r) - 4*y(r). Differentiate c(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -511499 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -3\/7 (c) 38 (d) -12 (e) -5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q**2 - 40311*q - 363042 = 0. Calculate q.\nAnswer: -9, 13446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m + 3*m = 67*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3 + 163888*y**2 - 6713999621*y - 67156386010.\nAnswer: -(y - 81949)**2*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 p, and 1 j when three letters picked without replacement from {v: 2, c: 5, j: 1, p: 1, f: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17104514 is divided by 148.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 23 - (8\/4 + 2). Let y = 5 + f. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/2*5\/(105\/(-224)). Let z = o - -34. Suppose -4*v - z*t + 66 = 0, -3*v = v + 3*t - 71. Calculate the remainder when 27 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.228 take away -0.02?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14111 - 14110. Let b(l) = 15*l - 5. What is b(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 100 (base 8) to base 7\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*b + 15*b - 20*b - 4*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2*g - 26. Let j be y(0). Suppose 5*w - 104 = 36. Let u = w + j. Put u, 8, 4 in descending order.\nAnswer: 8, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 2*c**3 - 2*c + 7*c**2 - 1 - 2 - 3*c**3. What are the prime factors of o(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 468519470.390006 - 468576032.34. Let o = 56562 + x. Let m = o + -0.05. What is m rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 31 + -23. Let k = 224 + -227. Let r = s + k. Which is the nearest to -0.1? (a) -0.04 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 3*g = -4*v + 27, g = -5*v + 19. Solve 4*s = 3*i + 32, v + 6 = s - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12248 + 12252. Let g(p) be the second derivative of -9\/5*p**5 + s*p + 0 + 29\/12*p**4 + 0*p**3 + 0*p**2. Find the third derivative of g(f) wrt f.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104577?\nAnswer: 3, 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -38 (base 14) to base 6.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1543091 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes before 11:30 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r = 22*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -3*b**2 - 5*b + 2. Let m(y) = 11*y**2 + 15*y - 6. Let r(h) = 4*h - 186. Let j be r(46). Let a(q) = j*m(q) - 7*l(q). What is a(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14972933 is divided by 4990972.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add together -24 and -2174.12.\nAnswer: -2198.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the second derivative of 0 + 1\/6*m**3 + 35*m + 2\/3*m**4 + 27*m**2. Find the first derivative of b(n) wrt n.\nAnswer: 16*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 301402.6 centuries to decades.\nAnswer: 3014026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/8 in 0.07, -4, 2\/17, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 4:08 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p\/(p**(-10)*p))*p**5)\/(p**(5\/6)\/(p*(((p**(-13)*p)\/p)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -3, 1, 11.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 5, i: 2, q: 3}. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4.8744 - 0.1256. What is the second smallest value in -3, g, -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -45.44 + 0.44. Let r = -43.8 - c. Put 0, 1, r in ascending order.\nAnswer: 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 179550466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2, -18, -50, -94, -150?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 703290 and 80.\nAnswer: 5626320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8005*d**3*n**2 + 311437*d**3 - 5*n**2 with respect to n.\nAnswer: 16010*d**3*n - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19547 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -393*q. Let j(k) = -9*k + 1. Give j(i) - s(i).\nAnswer: 384*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17 + -9. Solve 2*i - 2 = w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 26 - 12. Suppose g - p = 46. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -26*n - 2. Let t be i(-6). Suppose 2*o + 2*o - 552 = 0. Suppose 0 = 4*f - t - o. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 172493 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -792*b**2 - 5 + 276*b**2 + 252*b**2 + 208*b**2.\nAnswer: -56*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrrrgqqg. Give prob of picking 1 g and 2 r.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/10*6*(-120)\/288?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/132 and 17\/240174?\nAnswer: 480348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -1\/6*d**3 - 2*d + 0 + 0*d**2. Let x(v) = -62 + 32 + v + 30. Determine x(k(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*v = 16*v - 35*v - 208 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1637 divided by 1.\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/6 - (-26)\/(-3))*(-155)\/372. Determine t, given that 14\/3*t**2 - 4\/3 + z*t = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2 + 3*u - 16. Suppose -989*t + 990*t = 0. Calculate p(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14678339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**3 - 5*d**2 - 22*d - 8. Is 20 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 65114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0792993177 to 3 dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -4*p + 473 - 529, 4*d = 5*p + 76 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1467540 and 13392.\nAnswer: 17610480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (1*2\/(-6))\/(38 + (-3752)\/924*11)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i - 6904 = -28056. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 13 = 5*h - 2*z, -4*z - 20 = 4*h. Let y = 14 + -13.6. What is the second smallest value in h, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3399291 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5602.\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7606709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4816 and 6149.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**2)**(-2\/67)\/((o**(-1\/4)*o)\/(o*o\/(o\/o**(-4\/11))))*(o**(-9)*o*o*o\/o**(-6))**(-11\/4) assuming o is positive.\nAnswer: o**(-511\/2948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4445 and 263725.\nAnswer: 33493075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 0, -4, -12, -24?\n\"Answer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 172029*l - 1136*l**3 - 172029*l + 1137*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -327*a*y - 6*a - 6 wrt y.\nAnswer: -327*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -93673, -93684, -93695, -93706?\nAnswer: -93717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 2 = 3*c. Suppose y - 3 = -c*y, -3*t = 2*y - 14. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 21 - 1. Let r(t) be the first derivative of t**2 - 1 - 3*t - 1\/3*t**3. Determine r(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -169606 = -64*w + 806010. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 52? (a) -1.31 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*z**3 + 0*z**3 - 2*z**3)*(-19 + 28*z - 12*z - 18*z).\nAnswer: -6*z**4 - 57*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*q**2 + 32799*q**3 - 50*q**2 - 12048*q**3.\nAnswer: 20751*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 38719520 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*d - 2*i + 24, 3*d - 6 = 5*d + 2*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1853482 to the power of 1\/2, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10973*c**2*i*r**3 + 3*c**2 + 32*c*i*r**2 + c*r**3 - 4*c*r**2 wrt r.\nAnswer: 65838*c**2*i + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2087*-1*9\/1251 + 232 + -217.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1842, 7308, 16306, 28752, 44562?\nAnswer: 63652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4476*a + 2 + 17 - 166*a.\nAnswer: -4642*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 9*v. Let k(p) = -2*p**2 - 51*p. Determine t(k(u)).\nAnswer: -18*u**2 - 459*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10567, 21995, 33423, 44851, 56279, 67707?\nAnswer: 79135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-42))\/((-61)\/(-549)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 32059103711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in 5, 1\/4, 13, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 10, p: 9}. What is prob of picking 2 p and 1 k?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15704 + 62817\/4. Which is greater: 1053 or t?\nAnswer: 1053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -109 + 53. Let h = v - -64.7. Let i = 8.70000074 - h. Round i to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4 - (-40)\/(-7))*-7. Suppose r*o - 3*o = 0. Solve o = -p - 0*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -437.05 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-116)\/(-87)*3\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + (-16 - ((20 - 51) + 7))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 23 (base 6) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n\/n**(2\/11)*n\/(n**(-3\/2)*n))\/((n*n\/n**(6\/13))\/n**(-4)) assuming n is positive.\nAnswer: n**(-349\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1263150 and 492.\nAnswer: 103578300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*y**3 - 42 + 49 + 10*y**2 - 2*y - 3*y**4 + 6*y - 11*y**2 to the form n*y**2 + p*y**3 + l*y**4 + a*y + s and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 1164 by -6.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27274?\nAnswer: 2, 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 4*y + 4. Let w be i(3). Suppose -p - 7*m + 17 = -2*m, 4*m - w = -p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 + 583*p - 1219. What is h(0)?\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**0)**(2\/3)\/(l**(2\/3)\/l**1) assuming l is positive.\nAnswer: l**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5107249627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (n - 3 + 3)*(-2*n**2 + 2*n**2 + n**3) + 28*n - 7*n - 12*n - 5*n**4.\nAnswer: -4*n**4 + 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*r - 5*o - 28, 0 = 3*r - 4*o - 3 - 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 3 - 7 = 0. Let s(l) = -l. Let d be s(2). Sort d, 5, c.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xexeeeeexeeeeexx. What is prob of picking 3 e?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/30 and 19\/485.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.9 and -172.3?\nAnswer: -327.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(5\/3)\/(o*o**10))**31 assuming o is positive.\nAnswer: o**(-868\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00044049376 rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be 57 - -2*(-1)\/(-2). Let t = 84 - d. Let v be 4\/(-6)*78\/(-4). What is the greatest common factor of t and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -92 times -24.686\nAnswer: 2271.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 642088 - -320609. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -71879, -71884, -71899, -71930, -71983, -72064?\nAnswer: -72179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -a + a - 2*a**4 + 2*a**3 - 3*a**2 - 2 in the form s*a + p*a**2 + m*a**4 + q + g*a**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 2 = -27. Find the second derivative of p**4 - p + 3*p - y*p - 4*p**4 wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 970788 and 25240488?\nAnswer: 25240488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100110011 + -1?\nAnswer: 100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/3 + 21\/9. Let x = 1 + t. Calculate the remainder when x is divided by (-2)\/(-10) + 18\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - -1. Which is bigger: b or 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3329994 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2512 is divided by 628.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 - -3 - 18850\/(-1160).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-109809)\/6)\/((-3)\/84). Is h\/162 - (-4)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 11, b: 2, l: 1, a: 1}. What is prob of sequence lab?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + 1 - 1)*(f + 31 - 31).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2a9274 + -2a?\nAnswer: -2a92a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -697219 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7.8596 kilometers in nanometers?\nAnswer: 7859600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 702*m - 7083*m**2 - 1365*m + 665*m as b*m**2 + k*m + h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 167 = 3*r + 2*i, 2*i = -2*r + 6*i + 90. Let s = r + -38. What is the greatest common factor of s and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 + 6*x + 4. Let c be (-1)\/(-1) + (-1 - -3). What is the units digit of g(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/30*6*(-10)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - g - 1)*(10676*g**3 + 50*g**4 - 10676*g**3).\nAnswer: -50*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -2*o**2 - 49*o - 525. Calculate x(-14).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**3 + 1409*j**2\/3 + 4738*j\/3 - 3784\/3 = 0. Calculate j.\nAnswer: -4, 2\/3, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24.939 - -0.061. Let y = j - 25. Suppose 0*f + f = 3. Which is the biggest value? (a) f (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*j**3\/13 - 5711968*j**2\/13 + 68543832*j\/13 - 15817824 = 0. Calculate j.\nAnswer: -2855996, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 181320 = 2*h + 688330, -h = 6. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 982430.\nAnswer: 2, 5, 17, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 - 15*v**2 + 16*v - 9. Let n be l(14). Let b = -17 + n. Suppose 147 = -3*f + 3*x - b*x, 2*f - 5*x + 98 = 0. Which is greater: -48 or f?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 23, 14, 11, 20, 47, 98, 179?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13148*a + 4 - 6 - 38314*a + 4 - 52039*a.\nAnswer: -77205*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 292*i - 294*i + 6 = 0. Suppose 0 = -5*o + i*p + 12, -20*o + 5*p + 7 = -16*o. Put 4, o, -3 in ascending order.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -2*y - 3. Suppose 1532 = 3*o + 6*a - y*a, 3*a + 504 = o. What are the prime factors of o?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, i: 6, v: 6, k: 2, u: 2}. Give prob of picking 1 u, 1 y, and 1 i.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) -13 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/165, 3, -0.1, -0.29, 0 in decreasing order.\nAnswer: 3, 2\/165, 0, -0.1, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -908, -1815, -2722, -3629?\n\"Answer: -907*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 120 + -30. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24 + 6. What is the common denominator of 4\/g - 502\/(-72) and -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19210254391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 65*v = -66*v + 25, -c = -5*v + 20. Solve -c*x + 3*t - 21 = -5, -x - t - 8 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7.1 in 16\/37, -0.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -793*x**3 + 296*x**3 + 496*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3 + 1 = 0. Let s = -4 + 1. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -17742 by 42.\nAnswer: -2957\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(5 + sqrt(700)*3) - (-1*(sqrt(700) - (sqrt(700) + sqrt(700)*-1 + sqrt(700))) + (sqrt(700) - -5*(0 + sqrt(700))))) + 3)**2*-2.\nAnswer: -113408 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*p**4 + 394*p**2 + 32 - 29 - 3*p**4 - 4 in the form v*p**4 + h*p**3 + q + b*p + g*p**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 163*o - 3950 + 5201 = 50314. Which is greater: 299 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 340 - -414431?\nAnswer: 420321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*z**3 - 3*z**3 - 3*z**3)*(-2*z + 6*z - 3*z) + (-1081 + 1081 - 15*z**3)*(-4 - z + 4) to the form t*z**2 + j*z**3 + p + q*z**4 + y*z and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 1 + 9. Suppose -4 - 12 = -p*n. Solve 5*m = n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 14420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*p + 374 = 356. Solve -p*a - 8 = -4*y, -5*a = 2*y - y - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13300315.\nAnswer: 5, 7, 54287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -100 - -114. Solve -2*b = -4*b + 4*u + t, -b + 4*u = -17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 2*n = -12, 5*z - 1 = -4*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15 + 14.66. Let x = -0.06 + j. Let i = 2.462 + -1.962. Which is the nearest to -2\/3? (a) i (b) -4\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 410 and 767356?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 13366, 53543, 120540, 214363, 335018?\n\"Answer: n**3 + 13404*n**2 - 42*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 103950510 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/((-14)\/(-4) - 3). Let g(p) = p**2 + 2*p + 27. Let x be g(0). Suppose 4*h + x = 3*d, d - 2*h + 5*h = 9. Solve z = 2*c - a*c + d, z = c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8\/6 - (5 - (-1328)\/(-48)). Let s = -6 + 12. Let d = 38 - s. Calculate the highest common factor of d and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v**3 + 5*v**2 - v + 12. Let n be f(13). What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/30 - 622364\/(-266340). Let i = s - 131\/193. What is the common denominator of 28\/45 and i?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 711 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y - 2*z - 882, 5*y + z - 542 = -1637. Does 7 divide (5 - y) + 2 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 PM and 4:23 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 42887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 + 15. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*n**2 - 10*n**2 - 12*n + 133*n + 7*n**2 - 121*n.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:59 AM and 8:50 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4080, 4042, 3996, 3960, 3952, 3990?\nAnswer: 4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w = -22*w + 28. What is the remainder when 35 is divided by 2*(-4*w + 84\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*v**3 + 17*v**3 - 22*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -312.83 - -308. Round c to 1 decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4767 divided by -1.\nAnswer: -4767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3314*p - 121*p - 15965. Suppose 2*y - 37 = -2*m - 3, -y - 93 = -4*m. Solve -p*f - m = 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -165700 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, 12, 75061.\nAnswer: 12, 33, 75061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102*i - 63*i - 32*i + 14*i.\nAnswer: -183*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)\/sqrt(4)*-5*1)\/((-4*sqrt(48) + sqrt(48))*4).\nAnswer: 5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 253 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -4*s, -s = -2*t - 0*t. Suppose t = 5*u - 22 - 3. Is ((-2)\/4)\/(u\/(-190)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = 3*b - 10*q - 21688, -2*b + 5*q = -14458. Does 55 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -311\/425 - -7457\/68850. Find the common denominator of z and 17\/22.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of y**2\/2 + 10*y - 1. Let g be x(-7). Suppose 0 = 2*w - g*w. Solve -4 = 2*m - w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -2*p**3 - p + 5*p**2 + 6*p + 4 + 3*p**3. Let z be w(-4). Suppose z = 3*c + 3*i - 186, -3*c + 59 = 2*i - 123. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1793267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 41\/906?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -884*t - 5*i = -885*t + 244, -4*i - 89 - 107 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15941 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 5*q + 12 + 8, -4*q + 3*a - 16 = 0. Let b(o) = 38 - 13 - 12 - 12. Let h(v) = -2*v**2 + v + 4. What is q*b(c) + h(c)?\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 18 = 3*k + 5, 0 = 5*k - 4*i + 25. Let h be ((-2 - -2)\/k)\/(-2). Let m = h + 5. Calculate the remainder when 12 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.0135 + -0.0195. Let z = h - -0.013. What is the second biggest value in -3\/5, z, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 253, 511, 779, 1063, 1369, 1703, 2071?\n\"Answer: v**3 - v**2 + 254*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -1. Suppose w = 3*y + 2*y - 15. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/7)*r)**(-1\/29)\/((r\/(r**(-3\/7)*r))\/r**1)*(r**1)**(28\/5)*(r\/r**(1\/2))**49 assuming r is positive.\nAnswer: r**(62173\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 158 < 6.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 - 49*u**2 + 164*u + 398. Let c be m(-52). Which is bigger: 289 or c?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nl when two letters picked without replacement from lghlnlgllrlgl?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5\/((-2)\/(-2)*-1 + 2). Suppose -5*m - 20 + 40 = 0. Suppose -g = -5*j + 2*j + 474, 0 = -m*j - q*g + 632. What are the prime factors of j?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 + 24*u**2 + 13*u - 543. Calculate s(-24).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/856535 or 0?\nAnswer: -2\/856535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {r: 2, p: 2, j: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21 and 1482?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1589, -6585, -15009, -26879, -42213, -61029, -83345?\nAnswer: -109179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-111)\/(-12) - 1\/4. Find the common denominator of 13\/3 and a\/((-6)\/(-9) - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(91) - sqrt(91)) + sqrt(91))\/sqrt(7) - sqrt(39)\/sqrt(108))**2.\nAnswer: 1573\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 1675430693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 - 5*m**2 - 2*m + 6. Let d be w(5). Suppose 5*o + 1479 = -2*i, -6*i - 3*o - 2205 = -3*i. Let r = 736 + i. Sort -1, r, d, -3.\nAnswer: d, -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 324420 (base 5) to base 12\nAnswer: 6603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (13\/(260\/8))\/(1\/185). Is a less than 226\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7815659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 32 - 2. Suppose 9*o - 4*o = c. Solve 5*i = -2*g + 7 + o, -5*i - g = -14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 124538 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -16220 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 9*m**3 - 104*m**2 + 58*m - 21. What is o(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13817898 is divided by 3643.\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1317840 - -6440.3?\nAnswer: 1324280.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the third derivative of o**2 + 0 - 7\/6*o**3 - 1\/12*o**4 - 25*o. Let c(w) = w**2. Calculate c(u(q)).\nAnswer: 4*q**2 + 28*q + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2193 <= 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7281\/4 or -1819?\nAnswer: -7281\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 117\/15678*1943*(-8)\/2\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 w, and 1 f when three letters picked without replacement from {w: 2, c: 1, s: 4, p: 1, f: 3, y: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-30)*(-40)\/24. Let f = -4.959 - 0.041. Which is the biggest value? (a) f (b) 5 (c) l (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lrnllflflrlklf. Give prob of sequence nff.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 38 = -5*y, 0*o - 3*y - 20 = 2*o. Let v = o + 9. Solve 2*d + 2 = -3*g, 5*g = 2*d + v*d + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 32, 60, 86, 110, 132, 152, 170?\n\"Answer: -g**2 + 31*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9758393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(2\/11)*b*b**(-3\/8))\/(b*b*b\/(b**1\/b)*b*b*b)**(43\/5))\/(b**(-2)\/((b**(-1\/8)*b)\/b))**(-48) assuming b is positive.\nAnswer: b**(-61509\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q - 1. Let k(h) = h + 9. Calculate 6*d(j) + k(j).\nAnswer: 7*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f = -8*n + 90, 4*f - 73941723 = 3*n - 73941698 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1883 greater than or equal to -11293\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 5*l**2 + 7*l - 2. Let k be z(5). Suppose -3*m + 19 = -4*s, -16 + 8 = 4*m + 3*s. What is the units digit of ((-3)\/((-9)\/k))\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 120\/(-576)*6720\/300?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 5*d - 3*d - 56 = 0, g - 4*d = 28. List the prime factors of (-1548)\/(-14) + g\/(-35)*1.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 3929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50292685 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 - -5. Let m(q) = -4*q**3 + 2*q - 1. Let w be m(a). Sort -5, 4, w in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g = -1161 + 1151 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 - -400) + 55\/(-11). Let u(a) = -1 + 396*a + 9*a**2 - 795*a + b*a + 0 + 0*a**2. Let t be 1 + -1 + -1 - 0. Calculate u(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 143 by -2.\nAnswer: -143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 8:56 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -545, -2, 0, -1 in increasing order.\nAnswer: -545, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1551469 take away -6.6?\nAnswer: 1551475.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**5 + 532*g**4 + 18472*g**3 + 52264*g**2 + 51220*g + 16900.\nAnswer: 4*(g + 1)**3*(g + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2814309 or 2814245?\nAnswer: 2814309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -187*t**2 - 760*t - 1. What is o(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-4)*f*f**4*f)\/(f**(3\/5)*f\/(f**(7\/2)\/f)) assuming f is positive.\nAnswer: f**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 187836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 1907 - 374 = -u, -2256 = -u + 2*l. What is the greatest common divisor of 110 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-9 + 8 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22 - 22. Suppose -2*b = 6, h = x - 0*x + 2*b - 33. Let q(l) = 2*l - 6. Calculate the remainder when x is divided by q(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of u**2 - 7*u + 0 + 4*u**2 - 7*u + 78 + 103 wrt u?\nAnswer: 10*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 6. Let o(g) = 6 - 2 - 1 - a + 34*g. Is 11 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 168 = 228. Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -282*p - 4772 = 70*p + 156 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 6 = -0. Let x(c) = -c**2 + c + 2. What is x(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -5 (b) 2 (c) -4 (d) -55\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -51840 to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 19025 = 97*w - 25814 + 37564 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 4*y**3. Let d(k) = -k**3 + 8*k**2 + 9*k + 1. Let q be d(9). Let a be l(q). Solve 2*p = a*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 9*w**2 + 6*w - 6. Suppose 2*h - 16 = 4*h. Let q be u(h). Which is greater: q or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 32030157, 64060314, 96090471, 128120628?\n\"Answer: 32030157*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -964659.2293 rounded to the nearest 100?\nAnswer: -964700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(32) + sqrt(288) + 0 + 1*(sqrt(2)*-1 + 4))**2.\nAnswer: 120*sqrt(2) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 337 or 355?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 5*x - 239 + 133, 4*x + 142 = 2*r. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*m**3 + 6*m - 17*m + 142*m**3 + 9*m to h + l*m**2 + v*m + o*m**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -2*r - 27. Let j be b(-13). Suppose 3*q + 11 = g, -3*g - 5*q - 21 = -2*g. Let k be g\/4*j*-4. Which is smaller: k or 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8002 is divided by 889.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor n**2\/2 + 1832272*n + 1678610340992.\nAnswer: (n + 1832272)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -65528\/43 <= -1525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 3*x + 2. Let u = 24 + 36. Calculate the remainder when u is divided by f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 54 - -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - n + 10. Suppose -n*j - j + 144 = 0. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 7*x**2 + 9*x + 23. Let j = 74 + -67. Let r(a) = 8*a**2 + 8*a + 23. Let q(c) = j*i(c) - 6*r(c). What is the units digit of q(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand a**2 - a**2 - a**2 + (4 + 2*a - 4)*(0 - 2*a + 0) - 6*a**2 - a**2 + a**2 + (-2*a - 1 + 1)*(9 - 9 + 3*a).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -20*n**3 + 12*n**2 + 408*n + 160 = 0.\nAnswer: -4, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6.03 + -6. Let w = -1.03 + g. Let t = -1 + 0. Does w = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 239652 and 496422?\nAnswer: 6949908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -194048, -776191, -1746430, -3104765, -4851196, -6985723, -9508346?\nAnswer: -12419065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99496183 is divided by 761.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 + 13. Let i = -3 + 5. Suppose -w*x - 16 = -i*m, 3*m + 2 - 6 = 2*x. Sort 1, x, 5 in ascending order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/220 and 59\/682.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 83796 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 114208 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: What is the remainder when 100775 is divided by 1901?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92950 = 2*a + 2*t, 0 = 1401*a - 1400*a - 3*t - 46459. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.6? (a) 2 (b) 1\/3 (c) -4 (d) 63 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.03599 to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20622 is divided by 687.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 60\/4392*(-6)\/2 and 5*438\/(-24)*(-6)\/(-15)?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 2079 = -r. Let p be 2\/(-4)*(-36)\/r. Suppose -20 = -3*l + 8*l - 4*o, 5*l + 5 = o. Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 1*(0 + sqrt(208)*1 + -1 + 0)**2.\nAnswer: -8*sqrt(13) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2*q**2 + 10*q - 5. Let c be m(4). Suppose -2*j = -c*d + 2*j + 475, 5*d - 4*j = 789. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31 - -63. Let h = 1371 + -1248. What is the remainder when h is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (10 - 9) + 0 + (-1 - (-3 - 0)). Solve x*h = -2*u - 2, 5*u + 5*h = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(72))\/(-2*(sqrt(9)*1 + sqrt(9))) + (sqrt(320)\/(sqrt(30)\/sqrt(3)))**2*-3.\nAnswer: -96 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -27*r**4 - 5145*r**3 + 7476*r**2 - 2304*r = 0. What is r?\nAnswer: -192, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 9, s: 2, c: 8}. Give prob of sequence csus.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -124043 - -113424?\nAnswer: -10114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 33758 - 33777.051. Let m = y - -19. What is m rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 2941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, k: 4, a: 7}. Give prob of picking 2 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -218, 0, -5129 in descending order.\nAnswer: 3, 0, -218, -5129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 - 2 - 12)*(-2 - 22*c**2 + 8183*c - 8181*c - c**2) in the form f + p*c**2 + o*c and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3004092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the second derivative of r**8\/84 - r**5\/20 - 2*r**2 - 3*r. Let y(b) be the first derivative of o(b). Find the third derivative of y(l) wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4614*n**2 + 1 - 11*n - 11*n - 10*n + 22*n.\nAnswer: 4614*n**2 - 10*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 2 - (-5 - 11)) + -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 451650 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b - 1272 = -1252. Let o(x) = 4*x + 3. Let n(z) = -17*z - 13. What is b*n(h) - 9*o(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 + 3*o**2 - 3*o + 15. What is k(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8242 + -8243. What is the closest to d in -119, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -733*q. Let s(j) = -1463*j. Let r(f) = 5*s(f) - 11*y(f). Let p(a) = 5*a**2. Calculate r(p(o)).\nAnswer: 3740*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -67.9 + 68. Sort -8, v, 2\/11, -3 in descending order.\nAnswer: 2\/11, v, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -41552 (base 7) to base 12.\nAnswer: -5b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 2\/5, 4, 1\/11, 6, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 - 6. Let m = -0.11 + 0.21. Which is the nearest to m? (a) -3\/4 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31.3 + -30.7. Let j = z - -110. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -3*b - 5. Let o = -4\/61 + 97\/549. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51683398 is divided by 11583?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (453\/(-906))\/((-159)\/12)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 13\/(-39) - 8\/(1056\/44884). Which is greater: k or -339?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 17\/(-5) + (-18)\/(-45). Let b(x) be the third derivative of x**5\/60 - x**4\/24 + x**3\/6 + x**2. List the prime factors of b(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -4*p - 4*k - 12, 4*p + 12 = -5*k. Let t(r) = p*r + r - 3*r - r. Let j(g) = -16*g**2. Determine j(t(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57647?\nAnswer: 17, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -228*r + 858 = -551 + 41 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 9:08 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**2 + 5*k - 10. Let p be s(-7). Suppose f + i = 3, -4*f + p*i - 6 = 6. Let o(g) = -g**3 + g**2 - 5. Calculate o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**0)**(6\/11) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.32846 and -225?\nAnswer: 225.32846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 928170467 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -33111020 - 10?\nAnswer: -33111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 19 (c) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p + 3. Let r(t) = -3*t + 2. Calculate 4*h(n) - 3*r(n).\nAnswer: n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*d + 59*d + 84 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 83029*p - 996468. What is t(12)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 62\/(-28) - (-6)\/(-21). Let g = -7.9 - -7.7. Which is the second biggest value? (a) g (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*n - 11919 = 30344. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 0\/(-11) + 23\/16 and -77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 140 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1242b6 (base 12) to base 16\nAnswer: -48aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 110049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yfyf when four letters picked without replacement from {y: 5, f: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r - r**3 + 3*r + 10*r**3)*(-4*r - 3*r + 6*r)*(4*r + 2*r - 5*r).\nAnswer: -9*r**5 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 89 - -27. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -8*t - 475. What is v(-59)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 4\/19 (b) 3 (c) 1\/442 (d) -2\/19 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -486*a + 851 + 7809 = -2518 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 174803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 129958250.\nAnswer: 2, 5, 73, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/8, 0.5, -2\/7, 4, -15219 in descending order.\nAnswer: 4, 0.5, 3\/8, -2\/7, -15219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**2 - 11*n + 20. Let d be z(11). Let g(t) = t + 35. List the prime factors of g(d).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1056 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.4739248 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 2*r**4\/7 - 1926*r**3\/7 - 712168*r**2\/7 + 31306104*r\/7 - 59748160\/7 = 0.\nAnswer: -317, 2, 38, 1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 214700250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 162*c**5\/5 - 909*c**4\/5 - 6963*c**3\/5 - 7002*c**2\/5 + 2700*c + 19032\/5 = 0. What is c?\nAnswer: -2, 13\/9, 61\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-38)\/4370*1*2*5.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4\/3)\/((-98)\/(-24843)). Let z = -312 + g. Which is greater: 28 or z?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 363 is divided by 275?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.1074, 2\/5, 31, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 760606 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - a = 71, 27 = -0*l - l + 3*a. Let v = l - -36. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5681.562 micrograms to grams.\nAnswer: 0.005681562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -23*f + 49. What are the prime factors of i(-35)?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + (2 - (1 + -3)) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iyyiyoyiiiy. What is prob of sequence iyyo?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -abb (base 12) in base 3?\nAnswer: -2011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + w - 40 = 4*m, -2*w - 25 = 3*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2826 and 114?\nAnswer: 53694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 233384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -89 + 89. Let z(v) be the second derivative of 1\/20*v**5 + 0 + v + 0*v**2 + k*v**3 - 1\/12*v**4. What is the third derivative of z(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) 2\/3 (c) 27\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0\/(-1))\/(-4 + 2). Let f be z - (3\/(-3) + -3). Suppose 0 = 5*x - 31 - f. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5\/4, -152, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t = m - 127764 + 127784, -8*m - 4*t - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 72128899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of -4*l + 0 + 1\/2*l**3 + 7\/2*l**2. Let o(f) = 2*f + 4. Calculate 5*o(k) - 3*u(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 5*d = -4*d, 5*d + 12 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -486 + 496. Solve -v - 2 = 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j**(-2\/13))\/j)**(-2\/15)\/(j*j\/j**(3\/20)*j\/j**(14\/9)) assuming j is positive.\nAnswer: j**(-3293\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-2))**11\/(c\/(c\/((c*c**(4\/3))\/c)*c)*c\/(c\/c**10)) assuming c is positive.\nAnswer: c**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - -39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k + 2*k + 2*k)*(k + 0*k + 0*k) + 2*k + 59 - 14*k**2 - 59.\nAnswer: -15*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 938 is divided by 246.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 31269 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 2*p**4\/5 + 15582*p**3\/5 - 3874266*p**2 + 5610216546*p\/5 = 0.\nAnswer: -8913, 0, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/3*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d = 5*z + 5, -5*d - 225*z - 11 = -226*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 3*s - 86. Let g be r(40). Let p be ((-4)\/g - (-15930)\/2754) + -5. Find l such that -1\/9*l**2 - 1\/9*l + p = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*x + 2709 - 2437245 = -599*x. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 125 divided by -2\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 173 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and 119246.\nAnswer: 596230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v - 2*q - 8 = -5*v, 0 = 3*v - 4*q - 16. Suppose -23*c + 31*c = v. Solve 5*g = c, -25 = -5*y + 4*g + g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12*a + 3 + 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -135, -5, 1.\nAnswer: -135, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -22*r + 27*r - b, 16 = 2*r + 3*b. Let u(k) = 2*k**3. Give u(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 38 in 0.2, -20, -1, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 5*p = 58954 + 148682. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 7*y. Let t(a) = 5513361*a**2. Calculate x(t(r)).\nAnswer: 38593527*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 80457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1168 + 1355. What are the prime factors of m?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2.311 (b) -34 (c) 0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2106 + -555. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 839950?\nAnswer: 2, 5, 107, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 3*q - 5 - q - 5 - q. Let t be k(6). Does 7 divide (37 + t)\/((-6)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 4229.\nAnswer: -5\/4229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 5*v - 755, 2*v - 99 = 5*a + 188. What is the least common multiple of 6\/(-2)*60\/(-18) and v?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*o = -12*o. Let h be (-1 - -228) + 0 + (-2 - o). What is the greatest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 45, -5, 46.\nAnswer: -7, -5, 45, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-1) - 31\/(1550\/210)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 596 and 12?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1074\/10 - 2\/5. Suppose 3*g - 9 = -3*t + 3, 4*g = 0. Suppose 5*b - s = t*d, 5*d + 40 = 2*b - 13. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.39 (b) -0.1 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.098 + 0.198. Do w and 7\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 0*x + 5*x)*(-14 + 1 - x + 9).\nAnswer: -3*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3\/21 - 68*h**2\/7 + 57546*h\/7 - 14683960\/21.\nAnswer: -2*(h - 139)**2*(h + 380)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 3*i, -z - z + 3*i = 0. Put 2, -2, z in increasing order.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 689.826 rounded to 1 decimal place?\nAnswer: 689.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(1\/8)*h)\/(h**13\/h))\/((h*h**12)\/(h**(-8)\/h)))**24 assuming h is positive.\nAnswer: h**(-789)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of -d**6\/720 + d**5\/10 - 3*d**4 - 3*d**3\/2 - 11*d. Let n(u) be the second derivative of h(u). Let n(i) = 0. Calculate i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -168*y**2 + 327*y - 326. What is j(1)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -138425 - -406?\nAnswer: -138019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -390 - -625\/2. Let c = -75 - a. Let v = -53\/282 + 1\/47. What is the second smallest value in v, c, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*2*(sqrt(304) + (1 + sqrt(304) - sqrt(304))*4) + 1 + -4)**2.\nAnswer: 176*sqrt(19) + 1337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 4*m = 113, 4*m - 6*m - 488 = -4*a. What is the tens digit of 8\/(-28) + a\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -29, 527, 14.\nAnswer: -29, 5, 14, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1401872 is divided by 4008.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 44905*p**3 + 10 - 6.\nAnswer: -44905*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 5*q + 20 = 0, 0 = -5*f + 4*f + 3*q + 5. Let k(p) = p**3 - 6*p**2 + 4*p + 6. Let c be k(f). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 4*u + 11, 20 = -6*u + u. Let j = p - -4. Find the third derivative of 4*a**3 - 4*a**3 - 3*a**2 + j*a**4 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 14*h**2 - 2*h + 3. Let d(k) be the second derivative of -3*k**4\/4 + k**3\/6 - k**2 + 27*k. Give 8*d(n) + 5*j(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -b + 4*k + 7, 5*k - 3*k + 11 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.6 + -1.4. Put 0.01, g, -5 in descending order.\nAnswer: 0.01, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.108 times -2\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10*7\/(-770))\/(-6*5\/(-90)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*h = 22*h - 14*h + 2862. Which is bigger: h or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 + 10. Let b be 190\/30 + (-2)\/6. What is the lowest common multiple of z and 4 - ((-3 - 0) + b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.29 + -0.39. Let r = -0.12 + 5.12. What is the nearest to x in -0.9, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16086423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -19 (b) -39 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + 2. Let l = 0 + n. Suppose -2*w + l = 3*j, 3*w - 4*w - j + 4 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wybg when four letters picked without replacement from {w: 3, y: 2, b: 2, s: 1, g: 1, t: 6}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from pppppplpplpp?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/42*98\/(-224)*288\/(-84). Factor 3\/7*m**3 - 3\/7*m + 0 - 1\/7*m**2 + x*m**4.\nAnswer: m*(m - 1)*(m + 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 + 9.1. Let r = -2.7 - i. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*a = -1006 + 486 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000010001100 (base 2) to base 5.\nAnswer: 113421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 - 10. Let t = 1532 - 1530. Suppose 3*o - 1041 = n*i - 5*i, t*i + 1735 = 5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.41 rounded to one dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.017 - -0.983. Put -0.5, -12, l in decreasing order.\nAnswer: l, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 264 divided by 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 - 176 = 5*p. Let d = -20 - p. Suppose -t - d*t - 3*q = -21, -4*t = -q - 8. Solve -3 = t*c - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 + 4*l**2 + 7*l + 104. Let m be p(7). Solve 14 - m = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 884?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (15\/25)\/((-3)\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((380\/(-152))\/(9\/4))\/((-2)\/54).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the third derivative of 39*l**5\/4 + l**4\/8 + 645*l**3 - 2416*l**2 + 1. Find the first derivative of b(d) wrt d.\nAnswer: 1170*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.021 + -3.021. What is the closest to 1 in 16.5, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 151 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 176811 is divided by 176740.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 381114 and 252.\nAnswer: 5335596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 19 = -x, -4*x = 1322*s - 1326*s + 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -193911 rounded to the nearest one thousand?\nAnswer: -194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + -3. Let j = 0.5 + 1.5. Which is the closest to j? (a) -5 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 1 - -9 - -2) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 127, 5, -920.\nAnswer: -920, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -3497, -14158, -31919, -56774, -88717?\n\"Answer: p**3 - 3556*p**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -85, -99, -119, -145, -177, -215, -259?\n\"Answer: -3*m**2 - 5*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-9)\/3 - 10\/(-3))*24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -1675*d**2 - 140*d + 7. Let v(j) = 1116*j**2 + 93*j - 5. Let m(k) = 5*a(k) + 7*v(k). What is the second derivative of m(b) wrt b?\nAnswer: -1126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 - -412790?\nAnswer: 412790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12*g**2*j**2 - 388*g**2*j - 4*g**2 + 118*g - 846*j**2 wrt g.\nAnswer: 24*j**2 - 776*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/(((-6)\/52)\/(1040\/(-6760)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 29 - -4?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4092 and 132?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -61 - ((-6 - 26) + 12)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c. Let z(o) be the first derivative of -5*o**2\/2 + 2*o + 3. Let d be 2*((-5)\/(-2))\/(-5). Determine d*z(u) + 4*f(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -45 divided by 136047.\nAnswer: -15\/45349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -55 - f**2 + 14 - 21 to the form y + x*f**2 + v*f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 4:47 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1302135257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/21)\/(50*(-4)\/(-28))*-4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 0.1 (c) 4 (d) 1 (e) -4.5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1.12 (b) 6\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -263*f + 1969. What is q(6)?\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 9 = 4*l, -5*l - f = -0*l + 27. Let h = l - -9. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 581 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7806 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8745911 is divided by 9761.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3541 - 3540. Let u(d) be the second derivative of -d**3\/3 + d**2 - d. Let x be u(2). Is c <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -474 - -280. Is o\/(-5) + (-2)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1\/323572 + -73329499\/1779646. Let g = l + -13\/44. Find the common denominator of 45\/2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2, -3, -67031, 3, 15 in descending order.\nAnswer: 15, 3, 2, -3, -5, -67031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 + 6*g + 8. Let o be u(7). Let w(i) = 6*i - 1. Let y be w(o). Suppose -4*r + 35 = 4*d - y, 10 = -d + 4*r. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -48, -151, -322, -561, -868?\n\"Answer: -34*u**2 - u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 387, 773, 1161, 1551, 1943, 2337, 2733?\nAnswer: 3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-22640)\/(-3113)*(-22)\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 202657 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -22, 1, 1\/703, -1\/9 in ascending order.\nAnswer: -22, -1\/9, 1\/703, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 974049?\nAnswer: 3, 17, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {v: 1, i: 1, x: 2, j: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - a - 1727 = -106*j + 4078, a - 3*a + 4*j - 210 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2334786*o**2 - 1362187*o wrt o?\nAnswer: -4669572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -10*r**2 + 3*r + 3. Let u(j) = -50*j**2 + 16*j + 14. What is 3*u(x) - 14*w(x)?\nAnswer: -10*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.1 - 0.1. Let q = -0.979 + 0.979075. Let d = v - q. Round d to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -314, -11, 3, -2, 2, -4 in ascending order.\nAnswer: -314, -11, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**6\/f**(1\/2))\/(f*f*f*f**(-4)*f*(f\/f**(3\/7))\/f*f)*f**(-2\/21)*f**(-1\/3)*(f\/(f**(-1)*f))**(4\/27) assuming f is positive.\nAnswer: f**(251\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:44 PM and 11:50 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32724016 is divided by 2814?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + (143\/12)\/11. Let g(s) be the second derivative of a*s**4 + s + 3\/2*s**2 + 1\/6*s**3 + 0. Determine g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 965067562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 367597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*n**2 + 11*n + 70*n**2 - 60*n**2 - 34*n**4 + (-2*n + 1 - 1)*(n - n + 4*n**3).\nAnswer: -42*n**4 - 2*n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/114256 and 85\/99974.\nAnswer: 799792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 PM and 12:50 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 39? (a) -5\/6 (b) 5 (c) -69 (d) 6 (e) -70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4153281\/60949 + 6\/8707. Let b = 68 + h. Let s = 0.16 - -4.84. What is the closest to 0 in -0.5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/9 + (-6)\/(-9). Solve 0 = 5*j + 5*c - 5, -4*j - n = -2*j + 5*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 240 - -5?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + (-5)\/7 + (-1310540)\/(-1078). Calculate the highest common factor of 228 and i.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -0.12 (b) 3\/2 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -18*t - 6 - 27*t - 27*t + 70*t. Give k(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/34 and -47\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16622 and 12.\nAnswer: 99732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 319, 346, 375, 394, 391, 354, 271, 130?\n\"Answer: -2*f**3 + 13*f**2 + 2*f + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -64\/193623 and -52\/55221.\nAnswer: 15296217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4773, -0.1.\nAnswer: -2, -0.1, 4773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 1.7. Which is the smallest value? (a) -1.74 (b) 2\/19 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 670*o = -30732 + 28502 - 82190 for o.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*c - c - 2, 5*c - 2 = t. Let q = 22 + t. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2725 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -36*h**2 - 10*h**2 + 0*h**2 - 2 + 16*h + 20*h**2 to x + b*h**2 + p*h and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14713552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -388 + 335. Let t = -57 - o. Let c = 0.08 + 4.92. What is the nearest to -4\/5 in t, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 505263 and 1757?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 454.18 + -455. Round r to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(-14\/5)*j)\/j)\/j**(1\/4))\/((j\/(j*j*((j**(-19)\/j)\/j)\/j*j))\/(j*j**(6\/17)\/j)) assuming j is positive.\nAnswer: j**(-7717\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.05 times 0.4\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**3 + 4*h**2 + 6*h + 3. Give g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6750 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(sqrt(99)*-4) + 2*(sqrt(56)\/(sqrt(40)\/sqrt(5)))**2.\nAnswer: -sqrt(7)\/12 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -6514*j + 61. Let q(g) = -2171*g + 22. Determine -4*l(b) + 11*q(b).\nAnswer: 2175*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((3 + -4 + (2 + sqrt(1300) + -5 - sqrt(1300)))*-3*1)**2*1.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 224879437?\nAnswer: 224879437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 11, s: 2, r: 1, d: 5, x: 1}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, 2\/9, 3\/7 in increasing order.\nAnswer: -18, 2\/9, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 50 - 51. Let m = 1 - 2\/3. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (1*(-2546956)\/(-5) - -2)\/(6\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -5*g - 4*t + 111, 2*g + t - 44 = 0. Let m(l) = -l**2 - 6*l + 2. Let s be m(-5). Suppose 2*c - g = -s. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f**3 - 116*f**2 - 4590*f + 60. Calculate s(-27).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does -3383029\/9 = -375893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve x - 134*b + 130*b = -15, -6*x = 3*b + 90 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1827747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*z - 217 - 119 = 0. Is (z\/6 + 2)*27756\/(-81) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/393910 and 111\/4598.\nAnswer: 82327190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 + -7. Let b(l) = l**2. Let x(f) = 4*f**2. Let m(t) = -2*b(t) - x(t). What is m(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13051 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**20\/u*u**(-1\/3)*(u**(-20)\/u)**(5\/6) assuming u is positive.\nAnswer: u**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 43.18564 to 2 dps.\nAnswer: 43.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 32\/(-48)*(-1)\/(-3). Let q be (-2)\/(-7) + 16\/42. Let j = -1.9 - 1.1. Sort j, n, q in increasing order.\nAnswer: j, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -650888 - -17.463881.\nAnswer: -650870.536119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 6:49 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/13)\/(g\/(g**(-2\/17)*g)))\/(g\/((g\/(g**(2\/7)*g*g))\/g*g))**(-21\/4)*((g*g\/(g*g**2))\/(g*((g\/(g*g\/(g**6*g))*g)\/g)\/g))**(-5\/3) assuming g is positive.\nAnswer: g**(15715\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -7*k + 9. Let t = 5 - 5. Solve t*n - n = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-47*u**2 - 31*u**2 + 30*u**2)*(2*u**2 + 1 + 2*u - 2*u).\nAnswer: -96*u**4 - 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 680 is divided by 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -57*k. Let g(m) be the first derivative of m**6\/180 - 10*m**3 + m - 22. Let t(l) be the third derivative of g(l). Calculate c(t(b)).\nAnswer: -114*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*c**3 - 6974 + 3452 + 3523.\nAnswer: -4*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 200010210102102 (base 3) to base 7\nAnswer: 144641501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2061 less than -2060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*1 + 14 + -10. Let r(a) be the second derivative of 4*a**3\/3 - a**2\/2 + 2*a. Determine r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1310141 (base 5) to base 14\nAnswer: -94d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 196985, 196997, 197023, 197069, 197141, 197245, 197387?\n\"Answer: u**3 + u**2 + 2*u + 196981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 135*u**3 - 263*u**3 - 2*u**2 + 125*u**3 + 2*u**4 + 2*u + 18 as y*u**4 + d*u**2 + x + i*u**3 + v*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate 33276 divided by 188.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -828 - -1321. Suppose -3*a = -4*c + 1828, 4*a = -c + g - 55. What are the prime factors of c?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6.05 - -0.95. Put 1\/10, -0.5, z, -0.3 in increasing order.\nAnswer: -0.5, -0.3, 1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -35.77598 to one dp.\nAnswer: -35.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -20575732 by -6.\nAnswer: 10287866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14 + 33654?\nAnswer: 33640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11, -16, -23, -32, -43, -56, -71?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 7\/2, 2\/95, -2\/9.\nAnswer: -2\/9, 2\/95, 7\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/10)\/(5\/(25\/(-5))*(-14)\/805).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 76 and 289921?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 + 3 = 3*y - 3*b, -7 = y + 3*b. Suppose -4*v - x + y*x = -275, 20 = 4*x. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1137*p*u**3 + p*u - 847*u**3 wrt p?\nAnswer: -1137*u**3 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 23 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 341595565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of 991*b**3\/6 - 1951*b + 1. Let h(q) = -3*q. Determine m(h(d)).\nAnswer: -2973*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -38 - -22. Let r(b) = b**2 + 15*b - 15. Let p be r(s). Let n = p + 13. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*p = 3*p + 10*p + 372468. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + (-4 - (-30)\/5). Let v be 2 - (y - (2 - 1)). Suppose -3*b = 3*h + v*h - 50, -5*b + 2*h = -42. What is the greatest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 3*y = -2*k + 6, -3*k + 6 = 4*y. Suppose 4 = -k*v + 44. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2981790011?\nAnswer: 2981790011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 682 times -45?\nAnswer: -30690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 PM and 7:52 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the second derivative of 1 + 5*d + 2\/3*d**3 + 7\/12*d**4 + 3\/2*d**2. Suppose 5*y + 2 = 4*y. Calculate q(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1541 is divided by 124.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -200 divided by 100\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 315341119 is divided by 4384?\nAnswer: 4383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 - 3*z**2 - 17*z + 18. Calculate the lowest common multiple of n(6) and 5 + 1*2\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 2 = -445*l + 444*l, -2*u = 2*l - 2. Sort 1, 98, u, -6, -5 in descending order.\nAnswer: 98, 1, u, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.41 - 0.11. Suppose -66 = -3*d + 3*x, -52 = -3*d + 5*x + 14. Let g be d\/18 + (-1 - 0). Which is the biggest value? (a) -4 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9087\/156 + 10\/(-8). Calculate the highest common divisor of 114 and m.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 5 - 4 = 0. Let y = 34259 - 34256. Let j be 2\/5 + 46\/10. Solve -20 = -y*p - p - 4*s, -j*s = -u*p - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -15169\/8651 or -2?\nAnswer: -15169\/8651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 - 2*x**2 - 3*x. Let m(v) = -v**2 - 16*v + 34. Let y be m(-18). Calculate t(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1209053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-192)\/16*((-126)\/4 + 2). Let x = -347 + s. Solve -3 = -2*y - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.52 - 117.52. Let w = m + 114.8. What is the closest to 1 in 0.07, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.2 - -0.46.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -26\/15 in 2\/3, 0.4, 1.2, 0.1, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2504923110 and 23820?\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002308095848 rounded to 7 decimal places?\nAnswer: -0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u**4\/3 + 4*u**3\/3 - 2*u**2 + 4*u\/3 - 1\/3 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -339*n**2 - 42375*n + 4. Let a be y(-125). Let g(o) = -3*o + 3. Let h be g(-4). Solve f = a, -f = -5*t + 1 - h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**3 + h**3 + 0*h**3)*(0*h - h - h) - h**4 - 2*h**3 + 2*h**3 + 30407278*h - 12555*h**4 - 30407278*h.\nAnswer: -12558*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 25326714 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 26055 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 PM and 1:14 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 8*h + 2*t - 13, 3*t - 3 = h. Solve 4*y + 25 = -y - 5*a, 5*y - h*a - 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 + 6*l**2 + 173*l - 52. Let p be i(13). Calculate the greatest common factor of p and 780.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 (base 5) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.36 - -0.44. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 27 and 117?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = l - 3*m + 12, -l + 2*m = 8. Let f be (-2)\/l - 6\/2. Let r = -3.4 - -3. Which is the closest to f? (a) r (b) 3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -17, 1, 2, -4255.\nAnswer: -4255, -17, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(3168) + (sqrt(3168) - (sqrt(3168) + sqrt(3168)*-2)*-5)))\/(1*-5*sqrt(10)\/sqrt(5)*-3).\nAnswer: 48*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/3 + 1\/3. Let v = 3 + b. Suppose y - 64 = 5*k, -7*y + v*y + 3*k + 239 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.127 * -0.822157\nAnswer: 0.104413939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -93\/262 and -101\/786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 8a (base 12) in base 16?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -30 + 0 + 18 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2576348095 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -136 + 14*b - 9*b + 112. Let a(n) = -n**2. What is d(a(i))?\nAnswer: -5*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -88*s**2 + 4*s - 1077?\nAnswer: -176*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 160941067.\nAnswer: 7, 83, 277007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 6446*w - 6456*w = 240 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 10 = -2*h, -8 + 46 = 2*h - 4*u. Let i = -7 + h. Suppose 4 = -4*p + 36. Calculate the least common multiple of p and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -3*t - 3. Let w be d(-2). Let y = w + -1. Suppose -y*n = n - 27. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24436 is divided by 12217.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*t - 8*v + 221 = -8*t - 7*t, 0 = -2*v - v + 81 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1.939724 meters in millimeters?\nAnswer: 1939.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1738159194 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-2\/17)*t**(-1)*t**(1\/8)*(t*t*t*t**(-3)\/t*t)\/t*((t\/t**6)\/t*t*t**(-3)\/t)**14 assuming t is positive.\nAnswer: t**(-17407\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 - 36 + 16 + 6 + 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2*1*6*(((5 + sqrt(117))*-4 + sqrt(117))**2 - sqrt(117))*-1 + 2).\nAnswer: -69736 - 17136*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.013317081 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 0*p + 3\/5*p**4 + 42\/5*p**2 + 9*p**3 = 0. What is p?\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 890661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -4*u - 6. Suppose 3*a - 5*j - 5 = 0, -3*a - 4 = a - 4*j. What is the smallest common multiple of o(a) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2639999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -56125.28 to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 15*k**3 + 10*k**2 + 16*k - 6. What is h(-2)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2715*b*i**3*v - 2*b*i**2*v - 26*b - 27*i*v wrt i.\nAnswer: -16290*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*k + 75 = 60*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of u**5\/20 + u**4\/6 - u - 2. Let v(a) be the first derivative of f(a). Factor v(l).\nAnswer: l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -40356 plus -2?\nAnswer: -40358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.16, 2, 1.1, 536\/5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20284.4033 + -20282. Let s = -0.3 + -2.1. Let c = y + s. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 10 - 6. Which is the biggest value? (a) u (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.014958mm in micrometers?\nAnswer: 1014.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23384 and 3919743.\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**2 + 6*h + 20. Let d be n(8). Suppose d*i - 3*i = -3370000. What is i rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 4*p = -s + 916, -2*s + 3*p = 1832. Let h = -532 - s. Calculate the greatest common divisor of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 - -955.\nAnswer: 954.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*s**4 + 25*s**3 - 5*s**2 - 25*s - 10 = 0. Calculate s.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 + 5 = 3*o. Suppose -9*r = -5*r - o. Suppose -r*c - c + 80 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 - 5*h + 6. Let r = 5 - -9. Suppose 3*t + l + r = 0, 7*t - 2*t + 46 = 4*l. Let j be y(t). Solve 3*v - 4*g + 11 = j, 2*v - 5 = -3*v + 2*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**3 + 16*s**2 - 8*s + 9. Let u be d(-16). Let b = u - 83. What is the remainder when 203 is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-6)\/2 - (-136)\/24) + 8\/24. Are -1759 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 51 - 55. Let q(w) = -4*w - 13. Let c be q(g). Suppose -9 = -2*z + 5*l + 16, 3*l - 6 = -c*z. Solve 8 = -z*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/6525 and 36\/5365?\nAnswer: 241425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 130 - 126. What is the third smallest value in -3, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -621*n**3 + 4 + 1245*n**3 - 4 - 623*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.5 - -0.5. Let v = -3.2 - -2.2. Sort v, 1\/2, b in ascending order.\nAnswer: v, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 1299500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 71*h**2 - 21*h - 16. Let d(z) = 47*z**2 - 15*z - 11. Give 7*d(c) - 5*g(c).\nAnswer: -26*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 1. Let f(i) = -2*i - 1. Let d(c) = f(c) + 2*v(c). Let w be d(2). Is 2 - -2 - (w + 0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes before 4:23 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 34 - 8058863347064\nAnswer: -8058863347030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(56)\/((sqrt(32)*2)\/sqrt(4)) + (sqrt(560)\/sqrt(250))\/sqrt(8).\nAnswer: 7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 2*r - 4*r**2)*(-2*r**2 + 0*r**2 + 3*r - 4*r) + r**4 + 3*r**3 - 3*r**3.\nAnswer: 9*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 1 + 20 = 0. Suppose u*p - 12 = 5*p. Let v(t) = t**3 - 5*t**2 - 5*t - 4. Let g be v(p). Solve -3*d + 6 = -3*l, g*d - 10 = -3*l + d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0056658 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 4:52 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t**2 + 40220*t + 23108000 = 0 for t.\nAnswer: -545, 10600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 593 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000976996 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 5622588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t**5 + 314760*t**4 + 8257412604*t**3 + 65924590800*t**2 - 3006015839232*t - 32359191567360 = 0. What is t?\nAnswer: -52456, -14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0, 2231, -284 in decreasing order.\nAnswer: 2231, 0, -2, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 + (46 + 0 + -43 - (0 + -3)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1, 5, 3, -997, -5 in ascending order.\nAnswer: -997, -5, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l - 3. Let x be h(0). Let v(d) = -d**3 - 45*d**2 - 43*d + 43. Let a be v(-44). Sort 13, a, x in increasing order.\nAnswer: x, a, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*r + 16*r + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 528036 and 424434?\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 4*b - 100, 3*b + z = 3*z + 82. Suppose 5*x - f = 68, 0*f - f = 2*x - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 24757*l**2 + 13*l - 16. Is 57 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4100533802?\nAnswer: 2, 389, 5270609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is s in s**3 - 4*s**2 - 1 - 1\/2*s**5 + s**4 + 7\/2*s = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -295*v. Let c(u) = 16*u + 18. Let h(x) = 653*x - 1 - 7 - 660*x. Let z(a) = 4*c(a) + 9*h(a). What is z(f(b))?\nAnswer: -295*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -6*f**2 - 5*f - 12. Let g(n) be the first derivative of -5*n**3\/3 - 3*n**2 - 11*n + 123. Let j(p) = -4*d(p) + 5*g(p). Determine j(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qlqc. Give prob of picking 1 l and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32\/1748 - (-8)\/(-276)*-3.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2317 divided by -32\nAnswer: 2317\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 0)*(-2*d + d - d)*(99*d**2 - 53*d**2 - 58*d**2).\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5423*b**3*f - 18805771*b**3 - 10*b**2*f - 2*b*f + 7*f - 7 wrt f.\nAnswer: 5423*b**3 - 10*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*2*sqrt(304).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 13204322 (base 5) in base 6?\nAnswer: 2454205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -cce87 (base 16) in base 15?\nAnswer: -118a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 12:05 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1240 + 168.19?\nAnswer: 1408.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 4\/5 (b) -0.5 (c) 5 (d) 20 (e) 1\/42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-51)\/(-119)*((-315)\/(-6))\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 40 + -29. Let w = 44 - 42. Suppose 4*v = w*x - 240, 385 = 3*x - 2*v + 45. What is the highest common divisor of m and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/38 + (-14145)\/(-2337).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 12267351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 48 and 540.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -9909115, -9909117, -9909119?\n\"Answer: -2*m - 9909113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4.7 - -1598513165393?\nAnswer: 1598513165397.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 6 = -4. Let r be (-9)\/o - 1\/(-5). Is r greater than or equal to 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the first derivative of l**4\/4 + 2*l**3 + 3*l**2\/2 + 5*l - 3. List the prime factors of b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3524156 (base 7) in base 10?\nAnswer: 443246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -478 + 482. Let q = 303 - 308. Which is the biggest value? (a) q (b) 2 (c) -2\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -560, -1126, -1694, -2264, -2836?\n\"Answer: -r**2 - 563*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 8:01 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2962427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-8)\/5)\/(2\/(-15)). Let s be 30\/r - (-2)\/(-4). Suppose 4*g - 45 = -5*m - g, s*g = -m + 12. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 4:42 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*u - 1 = 95*u. Sort 13, -5, u in descending order.\nAnswer: 13, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 31686 - 14052. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h**3 - 3*h**2 - 11*h + 15. Let x(a) = a**3 + 2*a**2 + 6*a - 8. Let u be (2 + 9 - (5 - 5))*-1. Determine u*x(j) - 6*g(j).\nAnswer: j**3 - 4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 142461620.\nAnswer: 2, 5, 7, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1544*u**4*y**3 - 89*u*y - u - 2*y**3 wrt u?\nAnswer: -18528*u**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 22269 + -227. List the prime factors of g.\nAnswer: 2, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -4*y**3 - 2*y**2 - y. Let x be d(-1). Solve -x*q + 5 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15781 - 15781 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18327 is divided by 93?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2*u**2 - 2)*(3*u - 4*u - 11*u)*(-4 + 2 + 3)*(-2*u + 3*u + 0*u) in the form b + n*u**2 + a*u**3 + m*u**4 + d*u and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 10 = 0, 3*s - 71356 = 4*n + 166238. What is n rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 11) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 26351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2.342, -202\/39, 0.3?\nAnswer: -202\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 334.7981 centuries to years.\nAnswer: 33479.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/(-2))\/(1*-2). Let i = 121.3 - 138. Let u = -17 - i. Which is the nearest to d? (a) -0.5 (b) -3\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8365 - -3?\nAnswer: -8362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6ab278 + 0?\nAnswer: -6ab278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 27047536001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 119 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*k = -18*k + 64. Calculate the greatest common divisor of 64 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zppycpgzzzcfcgpypzp. Give prob of sequence pz.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 242423.\nAnswer: 149, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 110 + -357. Let o = y + 247. Which is the closest to o? (a) -1 (b) -6 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -221, -440, -659, -878, -1097?\n\"Answer: -219*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h**6\/h)\/h)\/h*(((h*h\/(h*h**(-2\/13)))\/h)\/h)\/h)\/(h**(-1\/2))**8)\/(h\/h**(-5)*(h\/h**14)\/h)**(-14) assuming h is positive.\nAnswer: h**(-1389\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of g**4 - 8*g**3\/3 + 23. Find b, given that k(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1372.619942257 - -1372.62. Round i to seven dps.\nAnswer: 0.0000577","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - z = 41 + 12, -1 = -z. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**3 - i**2 + 43*i + 308. Give m(-6).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 66 and 11352.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**2 - 1325*n - 7943. Calculate d(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.16? (a) 2\/11 (b) 1\/11 (c) -6\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2282117366 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -51228*g + 153812. Calculate w(3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -0*q - 3*f - 7, 0 = 4*q - 5*f - 21. Let s be (24\/(-40))\/(1 - 12\/10). Let t be s*(12\/30)\/((-6)\/(-5)). Solve q*l - 9 = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 234188138 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*r + 5*r + 330 + 95.\nAnswer: 2*r + 425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -375 + 388. Suppose -v*a = -22*a + 216. What is the smallest common multiple of a and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -239.7, -669, 0.9 in decreasing order.\nAnswer: 0.9, -239.7, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -870, -1835, -2800, -3765?\n\"Answer: -965*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 102\/19 + -307\/266. What is the common denominator of n and 41*(-5)\/75 + (-16)\/(-12)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 1. Suppose -l*n - 2 = -12. Solve b - 2*b = -n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*b - 733 - 107. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 + -1101.9778.\nAnswer: -1103.9778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 265408, 530829, 796264, 1061713?\nAnswer: 1327176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 3 = 0, 5*d = 3*t - 197 - 366. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 372*s - 81*s - 44*s - 90*s - 65*s - 65*s.\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.98263753 + -299.94?\nAnswer: -298.95736247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 6*g**2 + 2*g + 12. Let d be f(5). Find the common denominator of 91\/4 and (846\/(-8))\/9 + d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 11 + 653 + (-99)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {e: 11, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - a = -7*l + 22*l - 16*l + 7, -5*a - 32 = -3*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*sqrt(4617))\/sqrt(3))**2 + 2.\nAnswer: 38477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-64)\/(-56)*5880\/(-560)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 463937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 61930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/41? (a) -0.1 (b) 614 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the first derivative of g**6\/30 - 19*g**5\/25 + 4*g**4 + 20*g**3\/3 + 44. Let m(c) = 0. Calculate c.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(45)*-3 + (sqrt(30)\/sqrt(3))\/sqrt(2))**2 + ((3*sqrt(20))**2 - (-1*sqrt(40))\/sqrt(8))*6.\nAnswer: -520 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 PM and 6:06 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -53, -79, -77, -47, 11, 97?\n\"Answer: 14*f**2 - 68*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 449 + -304. Suppose -4*l - 5*n = -x, 0*l - 4*n = 4*l - 148. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r**4\/5 - 28668*r**3 + 430032*r**2\/5 - 430036*r\/5 + 143346\/5 = 0.\nAnswer: -71673, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/7, -5, -2, 2\/15, 247?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6.1 - 6. What is the nearest to b in 5, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ekyyyytykgyk. What is prob of sequence ky?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/15, 6, 1\/6, 0.056, 1, 2 in ascending order.\nAnswer: 0.056, 2\/15, 1\/6, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 + 11*p**2 - 13*p - 4. Let s be g(-12). Suppose -4*w + 7 = -5. Suppose -2*k = -w*k + s. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 - 24*d**2 - 54*d + 58. Let i be y(26). What is the common denominator of 39\/11 and ((-1)\/i + 0)*(-2968)\/(-196)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3602 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 - 7*z**2 - 8*z. Suppose -v - 2 = -10. Let g be i(v). Let s(n) = -2*n + 76. What is the units digit of s(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.62 + -3.52. Let o = 40 + -66. What is the nearest to d in -0.1, o, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1525, 1576, 1649, 1744, 1861?\nAnswer: 2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3ac9 + 4?\nAnswer: -3ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 7533426*t**2. Let u(x) = 6*x. Determine u(j(k)).\nAnswer: 45200556*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4732 * 4.\nAnswer: -1.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - (sqrt(11) + -3)**2*-5) + (sqrt(77) - (sqrt(77) - sqrt(77)*-2))\/sqrt(7) - (sqrt(297)*6)\/(sqrt(81)\/sqrt(3)).\nAnswer: -37*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 + -1d46b3e?\nAnswer: -1d46b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5120 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*(r\/(r**(7\/3)*r))\/r))\/r)\/r**12*r**(-3\/2)\/(r\/r**12) assuming r is positive.\nAnswer: r**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + 15*y**2 + 13*y + 4. Let c = -8 + 3. Let f(p) = -2*p**3 - 30*p**2 - 25*p - 7. Let h(v) = c*i(v) - 2*f(v). Is 5 a factor of h(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d + 4. Let l be v(-11). Let r = 23 - l. Let o = -23 + 30. Do o and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 5 - 1)*(-244*k + 65*k - 94*k - 292*k - 386*k) as u*k + f and give u.\nAnswer: -4755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 10:31 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1067 + 1066.6. Sort 1082, 5\/3, q in descending order.\nAnswer: 1082, 5\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 + 109584.45.\nAnswer: 109591.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 5 = 5. Solve -3*t - 10 = -p*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 120 and 12360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1125070 and 0.04562?\nAnswer: 1125069.95438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 - 5.85. Let c = 0.1414 - p. Round c to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27910333 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 7*a + 28. Give l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 9, -4778, 3?\nAnswer: -4778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 816335?\nAnswer: 5, 13, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4750391*z**4 + 8005221*z wrt z.\nAnswer: 57004692*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.17 + 0.19. Which is the third smallest value? (a) 1\/3 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2528739.86 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/210 and -29\/9?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 31 - 6. Suppose -d*v + 12 = -v. Let i(s) = 14*s + 1. List the prime factors of i(v).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7188731.63 rounded to the nearest one hundred?\nAnswer: -7188700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -18 >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 + 16 + 3)*(2*y**3 + 5*y - 5*y + (-2 + 2 - y**2)*(-y + 0*y - 5*y)).\nAnswer: 216*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1490431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50279, -201079, -452395, -804227, -1256575, -1809439, -2462819?\nAnswer: -3216715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 43659 or 43444?\nAnswer: 43659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 13 - 6 - 2*g**2 + 4*g**2 - 6*g - 4*g**2. Let t be l(1). Let n be 18*(-1)\/19 + 1. Is n greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*7\/(-20*(-15)\/(-24))*2*10?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of l**4\/8 - l**3\/6 - l**2\/2 + 10. Determine p, given that z(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.36, -6, 17, 1.\nAnswer: -6, -0.36, 0.1, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 542765754 to the power of 1\/2, to the nearest integer?\nAnswer: 23297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 2*j + 3*j - 22, -4*j + 8 = -4*z. Suppose 2*u - 2 - j = 0. Suppose 2*w + u = 6*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor f**4 + 2*f**3 - 3*f**2.\nAnswer: f**2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 2*l**2 - 19*l + 22. Let h be m(8). Suppose -2*n - s - 28 = 3*s, 3*n + 27 = -3*s. Sort -6, -1, n, h in descending order.\nAnswer: -1, h, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 117149917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b**2*j - 2*b**2*m*x + 14*b**2*x + b**2 + 27*b*j*m - 9*b*j*x - 89*b*m*x - 2*j*x wrt j.\nAnswer: 2*b**2 + 27*b*m - 9*b*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-4)*6)\/(2 + -1). Solve -a*d - 16 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5840285245 rounded to five decimal places?\nAnswer: -0.58403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of -7*p**6\/120 - p**5\/60 + p**4\/24 + p**3\/3 + 12*p**2. Give h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v - 3. Let f be t(0). Let u be 2 + f - (-2 - 2). Suppose -u*i + 5 = 2*i. Which is bigger: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (9 - -1 - (-7 + 13) - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*z + 0*z - 3*z + (-1 - 1 + 1)*(3 - z - 3) - 1 - z + 1 - 3*z + 4*z + z + (z + z + 0*z)*(-1 + 3 - 1) + 6*z - z - 3*z + 0*z + 2*z + 0*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 175507 and 1172?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 5*i + 6. Suppose 5*v - i*v = -2*t + 128, -5*t - 140 = -4*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -235, -230, -215, -184, -131, -50?\n\"Answer: k**3 - k**2 + k - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-58)\/(-3)*((-24)\/(-144))\/((-4)\/(-36))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -1348*m + 23. Let r(c) = 293*c - 5. Let q(u) = -23*r(u) - 5*t(u). Let w(h) = 31*h**2 + 8*h + 12. Calculate q(w(l)).\nAnswer: 31*l**2 + 8*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4 + (-441 + -4)\/(-5). Let k = -93 + c. Solve 5*s + 20 = k, -4*s - 2 = -3*x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000816216 rounded to 6 decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -787*f = 1387*f + 45654 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11667 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*v - 35*v + 2*n = 18, -26 = -3*v - 4*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.2*1.6.\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 23 = -5*m, 0 = 3*c - 4*m - 9 - 9. Solve -t - 4 = z, -5*t + z - c*z = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -966*d**2. Let p(f) = -94*f. Give p(u(m)).\nAnswer: 90804*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -38, -83, -146, -227, -326?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -15\/15677, -1\/6, -0.3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 184 and 8556.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a - 17. What is the units digit of c(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -11359.\nAnswer: 5\/11359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 720 and 45315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 171 + -63. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17944414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 103700 and 10643768?\nAnswer: 4148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the third derivative of c**6\/120 - c**5\/60 + c**4\/24 - 5*c**3\/6 - 5*c**2. Determine f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.316 bigger than 0.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor b**4\/6 + 299*b**3\/2 + 65691*b**2\/2 - 610191*b\/2 + 615627.\nAnswer: (b - 6)*(b - 3)*(b + 453)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37209 + 10939477\/294. Find the common denominator of c and 137\/342.\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107043 at least 214085\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(49)\/(sqrt(7) + sqrt(21)\/sqrt(3)) + -3)*-6.\nAnswer: -3*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*(z\/z**0)\/z*z*z**(-1\/4)*z*(((z\/(z\/z**(-1)))\/z*z)\/z)**(2\/51) assuming z is positive.\nAnswer: z**(545\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*h**4 + 4*h**4 - h**4)*(2470 + 327 - 67 - 71 + 1171) in the form c*h + v + k*h**4 + d*h**3 + i*h**2 and give k.\nAnswer: -7660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 134 - -926. What is s rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/20 + 268\/(-5)*(-54)\/(-108)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 3, m: 3, z: 4, e: 2, q: 3, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 3*w + 1. Let v be p(1). Solve v*q - 6 = 2*j, 0*j + 21 = -q - 4*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 15 = 4*c. Suppose 6*t = 5*t + c. Suppose 0 = n - t. Solve k = 4*s - 11, 3*s - n = k - 2*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1088 and 270?\nAnswer: 146880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nrrr when four letters picked without replacement from nrrrnnnrrr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, -2\/3, 7\/4, 5.2, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i. Let t(u) = -1918*u - 2. Calculate x(t(r)).\nAnswer: -1918*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 19 = -y + 25, 0 = 24*y - r - 52 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 4 = -11. Let i = 5 + o. Solve -j = -3 - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*d, 5*q - 36 - 13 = 3*d. Let f be (-6 + 0\/3)\/2. Let y(i) = -i**2 + 2*i + 2. Let s(m) = -3*m**2 + 5*m + 6. Determine f*s(l) + q*y(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20142?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -11 + 7*p - 33 + 21 + (-6*p - p + 4*p)*(5 + 1 - 3) as x + o*p and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -35239.522 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -31*w - 2. Let p be v(-2). Let c = 18 - p. Let y = -7 - c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express c + 0*c**4 - c**4 - 8*c**3 + 6*c**3 + 6*c**2 in the form r*c**4 + o*c + b*c**3 + t + s*c**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.4 or 45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 32 = -4*w, -6 + 3 = -3*w. Suppose -g = -7*z + 28. What is the smallest common multiple of z and (0 - 4)*(-15)\/20?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2566000 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -2*v**2 + 104*v - 1318. What is y(29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s + 6. Let u be b(-3). What is the common denominator of -46\/5 and u\/(42\/(-110)) + (-16)\/(-32)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*c + 10*c + 9120 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -17*a - a**2 + 10*a + 8*a. Let l(n) = -3*n - 2. Let g be l(-2). Let w(o) = g - 5 + 3*o - 4*o + 4*o**2. Give 3*d(j) + w(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1220*a + 2 + 1222*a + 1 - 3.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 19. Let z(y) = y**3 + 5*y**2 + 2*y - 2. Let l be z(-4). Let d(r) = 21*r - 6. Let k be d(l). Calculate the highest common divisor of h and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(320)*-6.\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*q = -13*q - 3*j + 41277, -9*j - 82509 = -4*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30206, 60408, 90610, 120812, 151014?\nAnswer: 181216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t**2 - t**2 + 6*t**2 + 440 + 0*t**2 - 4*t**2.\nAnswer: -3*t**2 + 440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-77985)\/(-12131))\/((-5)\/((-140)\/(-6))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14 + 18. Let o(d) = -d**2 + 8*d - 2. Let u be o(7). Suppose u*n + 0*s - s = 4, -s = -3*n + 4. Solve g + n + p = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -98*f**2. Let r(l) = -13*l. Determine o(r(z)).\nAnswer: -16562*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-5 - (-4 + (5 - 2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 2. Let j(r) = -r - 2. Let l be j(2). Let n be (-34 - -34)\/((-6)\/(-3)). Sort k, l, n in increasing order.\nAnswer: l, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2173*i - 2173*i + 56*i**2)*(i**3 + i**3 + 0*i**3) - i**5 + 2*i - 2*i + (3*i**2 - 5*i**2 + 3*i**2)*(-2 + 2 - 2*i**3) + 12*i**4 + i**5 - 12*i**4.\nAnswer: 110*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -5818*j**3 - 10*j**2 - j + 71. Let c(u) = u**3 - 2*u**2 + 14. Determine 5*c(m) - i(m).\nAnswer: 5823*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -14246*f**2*x**3 + 2*f**2 - 2*f*x**3 + 640874*f wrt x.\nAnswer: -42738*f**2*x**2 - 6*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1, -828, 0, -5, -3, 338 in decreasing order.\nAnswer: 338, 1, 0, -2, -3, -5, -828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42\/8*43*(-92)\/(-23736)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from eeneneen?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -2b85 (base 12) to base 13\nAnswer: -2456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 82421979 a multiple of 1712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 69.4707 - 4.4707. Which is the second biggest value? (a) -0.5 (b) -6 (c) h (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 323420695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1332079.\nAnswer: 7, 190297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + -23541?\nAnswer: -23541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-105)\/(-189)*9 + (-7)\/((-70)\/(-48))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**(-6\/19)*f**(2\/29))\/((f*f**4*f)\/f**(4\/3)) assuming f is positive.\nAnswer: f**(-4816\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 146.6025 litres?\nAnswer: 146602.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79434300.\nAnswer: 2, 3, 5, 11, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 9228051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(351)*-2*2)\/((sqrt(54)\/sqrt(3))\/sqrt(6) + sqrt(33)\/(sqrt(11)*1)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -16431685, -32863375, -49295065, -65726755, -82158445, -98590135?\n\"Answer: -16431690*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 632 is divided by 215?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2766502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 35 - 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-2))\/((-1)\/8*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -326, -591, -750, -755, -558, -111, 634, 1725?\n\"Answer: 8*b**3 + 5*b**2 - 336*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 783 - 754. Let k = 400 + -286. Calculate the remainder when k is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (2*sqrt(425) + 5 - ((sqrt(425) - sqrt(425)*2) + -5)))*4)**2.\nAnswer: 5280*sqrt(17) + 63136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -89.251 + 88.5. What is m rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1619\/3 or 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86380 divided by -5.\nAnswer: -17276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -612 + 20.44.\nAnswer: -591.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(840\/(-20))*-602.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12 - (1246\/1876)\/((-5)\/90))\/3.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (-10)\/(-80)*12.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 69324 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the second derivative of -1\/120*y**6 + 1\/6*y**4 + 4\/3*y**3 + 1\/2*y**2 - 1\/30*y**5 + 4*y + 0. Let a(o) be the first derivative of d(o). Factor a(n).\nAnswer: -(n - 2)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4227894946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16128 is divided by 6838.\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*h + 0)*(0*h**3 - 3*h**3 + 2*h**3) - 2*h**4 + 3*h**4 - 2*h**4 + 6*h**2 - 6*h**2 - 8 + 2*h**4.\nAnswer: -h**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12.1 + -13.1. Which is the nearest to f? (a) 19\/3 (b) 0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -206*q**5 - 622*q**4\/3 + 19154*q**3\/3 + 37822*q**2\/3 + 18784*q\/3 + 40 = 0.\nAnswer: -5, -1, -2\/309, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 10, 4, -4, 7 in decreasing order.\nAnswer: 10, 7, 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of -v**5\/24 + 5*v**4\/72 + 3*v. Solve g(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 1050?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v**2 - 5. Let k be w(5). Let y be 5 + (65\/(-26) - (-1)\/(-2)). Suppose -y*g - g = -k. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g + 4 - 4)*(-5*g - 2 + 2) + 1 - 1 + g**2 - 69 - 47 - g**2 + 77 + g**2 + g + g**2 + 0*g.\nAnswer: -3*g**2 + g - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4 + (-1 - 0\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y + 0*y - y)*(-2*y + y - y) - 4840 - 51*y**2 + 4840.\nAnswer: -55*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*b**4*l - 4288903*b**2*l + 32966818*l wrt b?\nAnswer: -8*b**3*l - 8577806*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 14\/(-8) + (-4)\/16. Let u be q\/(-7) - (-52)\/14. Suppose -23 = -2*n - 0*t + 3*t, 2*t = u*n - 26. Solve 3*r = n*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.0032298 and -575.29053.\nAnswer: -575.2937598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5\/5 - -2) + 1. Let b = m + 4. Calculate the least common multiple of 5 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b + 66 = 138. Let d(p) = -p**2 + 14*p - 18. Let c be d(b). Solve -4*n = -2*n - c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 43*x - 3*x + 6*x to the form g*x + u and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*w**2 + w**4 - 2*w**2 + (0*w**2 + w**2 + w**2)*(0*w**2 - w**2 - w**2) - w**4 + 4*w**3 - 4*w**3 + (2 - 2 - 2*w**4)*(-4 + 0 - 1).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**25\/n**(3\/5) assuming n is positive.\nAnswer: n**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 + (-39)\/(-6))*10. Let x be 84\/d + -3*1. What is the nearest to 2\/3 in 2, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -703 = 6*o - 769. Which is the closest to o? (a) -0.1 (b) -0.3 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 212, 430, 648?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-3)\/(-2)*(3 + 10218\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/((-12)\/(0 + 3098484)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 5302703387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 63197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 1:00 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (-140)\/34*3\/(-3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 + 16*x**2 + 39*x - 52. Let r be c(18). Which is greater: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + 7\/2 + 0. Suppose 2*r - 4 + 0 = 0. Let b = 5357 - 5354. Put -3, r, b, l in increasing order.\nAnswer: -3, r, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate (168\/9)\/(-7)*15\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -145 = 8*n - 3*n. Let o = n - -31. Suppose o*p - 42 = 16. What is the remainder when p is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 23610, 95380, 215318, 383424, 599698, 864140?\n\"Answer: 24084*m**2 - 482*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 6, s: 12}. What is prob of sequence sfff?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -83 + 89. Let y be 5 - (-2)\/m*-12. Let o be (2 + y - 2) + 14. Solve -z + 6*z = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.1743 - -0.1743. Which is the fourth biggest value? (a) 5 (b) 213 (c) h (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x = -5*n - 5, -3*n = -2*x + 2*n + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - 0. Let u be (6\/4 + r)\/(-2). Suppose m - 13*m = 0. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dpc when three letters picked without replacement from {b: 1, c: 3, d: 1, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from mggoomggoo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 804, 808, 822, 852, 904?\n\"Answer: p**3 - p**2 + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 690091.4 * 4\nAnswer: 2760365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*h**3 + 17*h**3 - 10*h**3 - 3*h**2 + 3*h**2 - h**3 + (7 + 6*h + 3 - 12)*(0*h**2 + 9*h**2 - 11*h**2).\nAnswer: h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4.2? (a) 5 (b) -4\/5 (c) 9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -25 or 6.699641?\nAnswer: 6.699641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3 + 1918478*l**2 - 460064933328*l - 2300372628840.\nAnswer: -2*(l - 479622)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 663623 is divided by 15433.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, r: 2, x: 10, q: 3, w: 1}. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -15 + 13 - 1 + 42*o - 3*o**2 + o - 2*o**2 - o + (o**2 - o**2 + 2*o**2)*(-4 + 0 + 3).\nAnswer: -7*o**2 + 42*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a**2 - 680*a - 57800 = 0. Calculate a.\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.8 + -0.2. Let a = -1.5 - 0.5. Let t = p - a. What is the closest to -1 in t, 0.1, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 244022*x = -b + 244026*x - 44, 5*b = 15*x - 160 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -22*x - 4*x**2 - 15*x - 2*x**2 + 37*x. Let d(q) be the third derivative of -q**5\/6 - 10*q**2. Determine g(d(b)).\nAnswer: -600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3)*(z*z**33\/z)\/z)\/((z*z*((((z**21*z)\/z*z)\/z)\/z)\/z)\/((z**(-21)\/z)\/z*z)) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 y, and 2 v when four letters picked without replacement from hyhhvhcycchmmvh.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10996 and 1.\nAnswer: 10996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -449, -1529, -3637, -7115, -12305?\nAnswer: -19549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (1 - 10\/(-4))*(37 + (-17941)\/539)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 5, -4, -72903?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.5 (c) 139304\/5 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -35 = -7*v + 14*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 11.3 (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*i - 2*r, 0*r = 3*i - 5*r + 8. Suppose -5*f + 18 = -i*b, -11 = 5*f - 5*b - 31. Determine y, given that 1\/4*y - 1\/2 - 1\/4*y**3 + 1\/2*y**f = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000034718082 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 3*o**3 + 0*o**2 - 4 + 2 + 5*o - 9*o**2 - 4*o. Let z(j) = -j**3 + j**2 + j. Let h(q) = f(q) + 4*z(q). Determine h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.31968 rounded to 2 decimal places?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -5456, -3, -5, -2, -4.\nAnswer: -5456, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 15 = 5*d, -38*d = -2*j - 34*d + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1998926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*s - 93 = -413. Let m be 1\/(-4) + (-91)\/(-28). What is the smallest common multiple of m + 122\/(6\/3) and s?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -4*c + 2. Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 83544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10.649 + 10.849. What is the closest to d in 0, -0.1, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s\/(s\/s**(4\/9))))\/s*s*s*s\/(s\/((s*s**(-11\/3))\/s*s*s)*s)*s**5\/s**(-4\/5) assuming s is positive.\nAnswer: s**(211\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 107213.\nAnswer: 29, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**2 - i + 4. Give r(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fffppfffffff. What is prob of picking 2 p and 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 4*y**2 - y + 5. Let f be a(6). What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/1*3\/2. Let d(z) = -z**3 + 4*z**2 - 2. What is the units digit of d(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -455.99999806 + 456. What is k rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 29 (b) -1 (c) 2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207262 is divided by 4697.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.04666 and 0.06?\nAnswer: -0.0027996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 - 29.8. What is m rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/11 - 940202*j\/11 + 16922988\/11.\nAnswer: 2*(j - 470083)*(j - 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*v = 220*v + 157*v + 223*v - 81024 for v.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 - -2)\/(-4*(-2)\/8). Let m = j - -6. Let h(t) = 16*t - 16. Let k(q) = 7*q - 8. Let d(b) = 3*h(b) - 7*k(b). Give d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 5*o + 165 - 1774, -2*g + 3*o = -1601. Do g and 807 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*o**2 + 2*o**4 - 2*o**3 + 67 - 70 + 0*o**4 as p*o**2 + n + d*o + s*o**3 + i*o**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 2*s**2. Let q(g) = -166*g - 1. What is q(r(w))?\nAnswer: -332*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/12)\/(2\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 - 7)\/((-1)\/9). Let z(i) = i**3 - 2*i**2 - 6*i + 18. Let f be z(6). Suppose q = -q + f. What is the greatest common divisor of q and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*z - 2*z - 15. Suppose 0 = 4*m - z*o - 11, -3*o = 2*m - o + 12. Let q be m + -1 - (0 + -5). Solve 3*c = -3*f - 6, q*f + 1 - 2 = 4*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**2\/5 - 570999*d\/5.\nAnswer: -3*d*(d + 190333)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0.4, -93, 21, -64.\nAnswer: -93, -64, 0.4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*1629.\nAnswer: 16290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*u + 76 = -21*u + 2*f, -4*u + 131 = -3*f. Solve 0*a - 4*x = 5*a - u, 0 = -4*a + x + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19597181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 2*n + 22 = 0, -o - 3*n = -24285 + 24305 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * 0.08888\nAnswer: -0.04444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 567945 greater than 567959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of -r**7\/7 - 14*r**6\/15 - 11*r**5\/5 - 2*r**4 + r**3\/3 + 2*r**2 + 43*r. Suppose q(n) = 0. What is n?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -133*a - 1. Let v(r) = -24*r - 33439. Determine q(v(x)).\nAnswer: 3192*x + 4447386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2034910 and 219.3?\nAnswer: 2035129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s - 2*q + 232, 0 = 3*q - 12. Suppose -85*z = -77*z - s. What is the greatest common factor of z and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n + 1. Let f(g) = -g**2 + 3*g - 15. Let u(x) = -f(x) - 6*o(x). What is the units digit of u(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-19)\/8 - -3 - 6\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -549914*c*j - 667*c wrt j.\nAnswer: -549914*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/449 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 205 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1678540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 22190 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.5 in 4, -0.1, -5, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*w**3 - 2*w**3 - w + 15*w**3.\nAnswer: 19*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 120 and 303781260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 17880836309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -419, -832, -1225, -1592, -1927?\n\"Answer: x**3 + 4*x**2 - 432*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = 5*x - 115. What are the prime factors of x + (-2)\/(-6)*3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 55 in 0.86, -50\/9, -0.2, -3\/4?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3998*h - 2066990 = 3988*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 210 - 202. Let h be (-4)\/(-18) - 34\/(-9). Suppose t = h*t, 4*v - 4*t - k = 0. What is the third biggest value in v, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -35 + 54. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f - 500595 + 62085 = 0. Let s be -4 + 5 + -154084 - 2. Let o = f - s. Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 151*n**3 - 77*n**3 - 4*n + 1 - 73*n**3 + n**2 - 7*n**2. Let y(t) = -4*t - 1. Let b be y(-2). What is the tens digit of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 4 + 3)*(-5 + 7 + 6)*(-2*h + 0 + 0) to m + s*h and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/15*(-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 + 10. Solve 1 = -2*n + 4*t - 9, 4*n - t = -r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by 5\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -32 - -47. Suppose 8*s - 3*s - 135 = 0. Suppose -y = -0*y - s. Calculate the remainder when y is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 8:48 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes before 4:25 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m**2. Let f(i) be the first derivative of 41*i**3\/3 - 6*i + 493. Determine f(q(g)).\nAnswer: 164*g**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-38*n**2 - 40*n**3 + 6403*n - 6403*n)*(-3*n + 3*n - n) to the form m*n**2 + p*n + y + c*n**3 + w*n**4 and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164 is divided by 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 38, -5, 15, 4, 0 in decreasing order.\nAnswer: 38, 15, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 106 + -528\/5. Let s = 0.07 - -1.93. Let r = 1 - s. Which is the nearest to h? (a) r (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20005040 to the power of 1\/2, to the nearest integer?\nAnswer: 4473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/2 + (-673)\/(-2). Suppose 1426*l - 1425*l + 5*y = 8, -5*l = 5*y - 200. What is the highest common divisor of l and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + -3. Let a = -7 + z. Let d = 12 + a. What is the remainder when 7 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 155 = 2*k, -k + 241 = 2*k + 4*u. Let g = k - -21. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 4*t + 21. What is c(-11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -29 + 34. Let y be (-6)\/(-2) - (-3 + 2). Let f be y\/(-6) + 14\/3. Solve f + 1 = m*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 70520*v**3 + 145*v**2 - v + 324283129 wrt v.\nAnswer: 211560*v**2 + 290*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2376 divided by 44\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 13*t - 2 - 2)*(3 - 8 + 12)*(-5 + 4 + 0)*(-11 + 3 - 4).\nAnswer: 1092*t - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 459 a factor of 232701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 2336305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 6*m**4 - 115*m**4 + 200*m**4 + 88*m**4 - m**2 - m - m**3 in the form c + b*m**2 + x*m + y*m**4 + l*m**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/6, 3, 5, 2, 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 17 = 2*y. Find the third derivative of -3*s**5 + s**y + 0*s**2 - 4*s**2 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1568 - 971. Let b = 1015 - i. What are the prime factors of b?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u - 4*u + 4*u)*(4 - 2*u - 4) + 2*u**2 + u**2 - 2*u**2 + (u + 5*u - 4*u)*(3*u - 4 + 4).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (69 - 26 - (-19 - -50)) + 0 + -105 + 1.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 12 = -a. Let b be a + (-1 - -6999) + -2. What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 2*m**2 + 3 - 8*m**2 + 7 - 237*m + 232*m - m**2. Let x(a) = -6*a**2 - 4*a + 8. Let w(f) = -4*n(f) + 5*x(f). Let i(c) = 4*c + 2. What is i(w(d))?\nAnswer: -8*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -3*f - 3 - 0, 0 = 2*f + p - 1. Suppose -4*i + f = -6. What is the second derivative of -i*y + 5*y + 2*y**2 - 6*y**2 wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -43*u**3\/3 + 604*u**2\/3 - 1748*u\/3 + 80\/3 = 0.\nAnswer: 2\/43, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 3:55 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4898 + -4900.051. Let k = 0.051 + a. Let f = -0.09 + 0.09. What is the closest to f in 4, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 289949 and -1.83?\nAnswer: 289950.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 891223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 702583*p**3 - 2107756*p**3 + 702583*p**3 + 702584*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d2 + 18?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -354.329 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -2405 to the nearest 10.\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 2268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 + (0\/3 - 2). Let b(v) = -61*v - 2. Is b(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, 3, -4, 6110, 4 in ascending order.\nAnswer: -4, 0, 3, 4, 5, 6110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-13) - 96\/(-52). Suppose b*z + 15 = 21. Solve z*u = u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11125934*u**2 + 148837702*u.\nAnswer: -22251868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28 - -6. Let g = -1 - t. Let m = g - 20.9978. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 792139842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*x = -6*x - 32. Let f(m) = -8*m**2 + 2. Let t be f(-2). What is the units digit of (t\/8)\/((-3)\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 128\/24927?\nAnswer: 128\/24927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 + 1. Let y(d) = 2*d**5 + 3*d**2 + 7*d - 3. Let a(s) = 3*c(s) + y(s). Find the second derivative of a(v) wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 4535449421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -335165 (base 7) in base 10?\nAnswer: -59435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 + 9*y**2 - 6*y. Let a be n(3). What is the greatest common factor of a and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.649749mm to nanometers.\nAnswer: 1649749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = -q + 4*q, -3*q + 2*q + 32 = -4*b + 3*q for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -153 - -151. What is the tens digit of (((-91)\/21)\/13)\/(w\/318)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 3*z - 75. Let y be z\/(-6)*(-56)\/10. Let q be y\/(-7) + 0 + 0. What is the greatest common factor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1080a10 + 327?\nAnswer: 1081137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9709838 and 1004466?\nAnswer: 29129514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 2) + 8 + (2 - 8) + -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of -1\/2*k**2 + k**3 + 2 + 0*k. List the prime factors of m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 18\/7 (b) -8\/17 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = 22*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**2 - 18*r - 15. Let i be j(-17). What is the highest common factor of i and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -11*r**2 + 24*r + 37. Let u(g) = 5*g**2 - 12*g - 18. Let y(c) = -6*p(c) - 13*u(c). Let w be y(-14). Let b = w + -34. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 96592*o - 5159 wrt o.\nAnswer: 96592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -54, -115, -160, -183, -178, -139, -60?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 79, 479, 1547, 3607, 6983, 11999, 18979?\n\"Answer: 54*x**3 + 10*x**2 - 8*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 384458 is divided by 128151.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -148*d**3 - 2*d**2 - 6*d - 4. Calculate the smallest common multiple of 111 and s(-1).\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p + 8. Let h(g) = g**2 - 6*g + 7. Let d be h(5). Suppose -n + 6 = -d*n. Give f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266.5401 decades in months?\nAnswer: 31984.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -102, -6, 19, 2 in descending order.\nAnswer: 19, 2, -6, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6 + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 178745?\nAnswer: 5, 7, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 + 39*x + 47. Let u be z(19). What is the highest common divisor of u and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f**3 + 43*f**2 - 46*f - 88 = 0. What is f?\nAnswer: -44, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32*a**2 - 7805*a**3 + 7805*a**3 - 7*a**6 wrt a.\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1264 and 8592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.06 - -0.56. What is the second biggest value in 0.02, 5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -2*u + 15, 3*u = -3*m - 1 + 13. Let n = 761 - 501. List the prime factors of n + -1 + (-1)\/m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/75192 and 73\/40.\nAnswer: 375960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 53, 468, 1615, 3860, 7569?\n\"Answer: 61*u**3 - 12*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -8 (b) -2\/13 (c) -0.108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000069847 rounded to seven dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -112*y - 3846 = -2278 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -11, -4 in decreasing order.\nAnswer: -4, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 752, 0, 15, 4, 3, 7 in decreasing order.\nAnswer: 752, 15, 7, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 1 - 2*x**4 - 10*x**2 - 8*x**2 - 5*x - x**3 + 20*x**2 in the form c*x**4 + u*x + k + n*x**2 + w*x**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 3)\/(1\/(-20)). Suppose 7*p = 2*p - i. Let r be -2*(-1 - (-2)\/p). Solve -o = 5*h, h + 2*o + 12 = r*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -244? (a) -5755 (b) -2\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*i + 17*i - 25*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 3*n**2 + n + 2. Suppose -4*b + 16 = -24. Suppose -5*u + 240 = b. Calculate the remainder when u is divided by t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-1 + (1 + -1 + sqrt(405) + 4)*-3 + 4)*4 + -5)**2.\nAnswer: 33264*sqrt(5) + 239209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - 2*w = 19, -3*w - 1 - 8 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 - 83*f + 838. Calculate the remainder when 363 is divided by i(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 107*b = 112*b - 30, -m = -3*b + 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 - -8. Suppose k*c - c - 22 = 0. Suppose 2*i - 3*j = c, i + j = 3*i - 22. Solve -5*m - i = 3*q, -1 - 16 = 5*m + q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 221754313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) 2\/35 (c) 2940 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 4*o**2 + 22*o - 22. Determine c(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -o + 31211, -3*h + 2*o + 4875 + 13862 = 0. What is the remainder when h is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w + 12. Let c(v) = 2 - 9*v + 7*v + 5*v**2 - v**3 - 5. Let j be c(4). What are the prime factors of y(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, -2, -100.8, 23?\nAnswer: -100.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*i = 34*i - 105. Suppose 0 = 2*w - 3 - 1. Suppose 25 = w*s - i. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -j**2 - 1333 + 2080*j - 417*j**3 - 2082*j - 116*j**3 + j**2 wrt j?\nAnswer: -1599*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, r: 1, t: 1, i: 9}. Give prob of sequence trp.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -5*y + 1. Let t(s) = -2*s - 1. Let n be t(-1). Let p be (18\/45)\/(n\/10). Let m(v) = 6*v - 2. Give p*i(r) + 3*m(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the first derivative of k**9\/252 - k**5\/60 + k**2\/2 + 2. Let u(z) be the second derivative of x(z). Find the third derivative of u(l) wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1699497233?\nAnswer: 7, 34683617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 30330 (base 5) to base 16.\nAnswer: 7ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 705400 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the second derivative of 5*f**3\/3 - f**2 + f. Suppose 4*m - 4 = -u, 4*m - 13 - 3 = -4*u. Calculate the remainder when b(u) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 4 - 3)*(2 - 9 - 3) - 5 + 5 - 2 - 1 + 1 - 1)*((-2*i**4 + 6*i**4 - 3*i**4)*(-3*i - 3*i + 5*i) + 0 - 2*i**5 + 0).\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -41*f + 38*f + 2*f + 34 - f. Let l be v(16). Sort -10, -3, l.\nAnswer: -10, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20418737603\/612 - -33363922. Let n = -497\/18 - k. Find the common denominator of -77\/2 and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-2 + sqrt(1584) + -1 - (sqrt(1584) + sqrt(1584) + (sqrt(1584)*3)**2)*-2).\nAnswer: 60*sqrt(11) + 28505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = q - 65, 0 = 2*q - 2*l + 7*l - 100. Let p = -29 + q. Suppose -4*k + 20 = -16. What is the remainder when p is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 0 + 1 + ((sqrt(4900) - (sqrt(4900) + sqrt(4900)*-1))\/(sqrt(21)\/sqrt(3)*-6) + 1)*-5)**2.\nAnswer: -350*sqrt(7)\/3 + 4816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -84.96 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 4*w - 70, -w + d + 0*d + 19 = 0. Let o(l) = -3*l**2 + 54*l - 12. Is 6 a factor of o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 6 + 5*d + 1)*((-2 + d + 2)*(d - 3*d + d) - 3*d**2 - 6*d**2 - d**2) in the form p*d**3 + f + k*d + i*d**2 and give p.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (195*h**4 + 96*h**4 - 34*h**4)*(0*h + 3*h - h + (3 - 1 + 0)*(0 + 0 + 2*h) - 2 - h + 2).\nAnswer: 1285*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 197661578 to the power of 1\/2, to the nearest integer?\nAnswer: 14059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -66\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10382 and 351556?\nAnswer: 10195124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnjnnhjnjnnnn. What is prob of picking 1 j and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*g - 17 = 0, -3*y = -2*g - 5 - 14. Solve 0 = -y*h, -3*h - 8 = 4*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1*(-1 + 2\/2). Suppose j = 5*n - 15 - 5, -2*r = -n. Suppose 0 = -r*t + 8, 5*i - 5*t - 17 = -2. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -2*m**2\/13 + 7762868*m\/13 - 7762866\/13 = 0.\nAnswer: 1, 3881433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 88859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17 + 0. Let v be (-54)\/(-1107) + (-385)\/2009. Sort -1, v, l in decreasing order.\nAnswer: v, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -2*i**2 - 189*i - 3267. Give u(-47).\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(2\/19)*v*v\/v**8*v*v)\/((v*v*(v**(-3\/11)\/v)\/v)\/(v\/(v\/v**(3\/8)))) assuming v is positive.\nAnswer: v**(-5429\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2\/2301 and 61\/78.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7792834943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 1006 = -2*u - 2*j, 2*u - 5*j - 1006 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7589902 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1672072, 1672082, 1672094, 1672108?\n\"Answer: b**2 + 7*b + 1672064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of 37*b**6\/40 + b**5\/30 + 172*b**3\/3 - 860*b**2. Differentiate n(f) with respect to f.\nAnswer: 333*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 2 and -11.33.\nAnswer: -9.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 2*q**2 + 8. Let v be c(-4). Let o = v + -20. What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 546 - 64*f + 81*f**5 - 546 + 58*f + 4*f**5 + f**5 - 6*f**5 + (-1 + f**4 + 1)*(-2*f - 3*f + 4*f).\nAnswer: 79*f**5 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -85\/174 - 2923\/4524. Find the common denominator of a and -25\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**3 + 2260*q**2 + 49952*q + 47696.\nAnswer: 4*(q + 1)*(q + 22)*(q + 542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -100000001001011010 (base 2) to base 11\nAnswer: -8aa24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14608, 29182, 43700, 58162, 72568, 86918?\nAnswer: 101212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 68*a**2 - 4*a - 4. Let i(d) = -35*d**2 + 2*d + 2. Let b(w) = -2*i(w) - m(w). Let g(k) = 381*k**2 - 15*k. What is g(b(f))?\nAnswer: 1524*f**4 - 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 91468125 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65*r**3 + 224*r**3 - 45*r**3.\nAnswer: 244*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 18 by 56.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 35 (base 16) in base 10?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*i - 2*i - 2*i)*(1 - 3 + 3) + i - 5*i + 14*i to the form g + m*i and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 133 and 1729.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w + 10. Let t be h(-8). What is o in 2*o + 0*o**2 - t*o**2 + 4*o**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -312822, -313298, -313776, -314256, -314738, -315222, -315708?\nAnswer: -316196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*g**2 - 6*g**2 + 6*g**2 + (-2*g + g - 3*g)*(3*g + 0*g - g))*(3 - 9*g + 61*g + 0*g).\nAnswer: 156*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2c + 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -g**2\/4 - 16187*g\/4 + 373359\/2 = 0. What is g?\nAnswer: -16233, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-305)*((-135)\/(-54))\/(3\/6)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 55616468 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*s**3*v - 4038331*s**3 + 222147*s**2 + 48*v wrt s.\nAnswer: 54*v - 24229986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1727*f - 3759 = 1720*f. Calculate the remainder when f is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(96)*-4)\/sqrt(12))\/sqrt(4).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -109, -275, -507?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 4684*d**2 - 3. Let s(u) = u**2. Give s(p(y)).\nAnswer: 21939856*y**4 - 28104*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17249 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - (4 + (-4 - -4))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-144)\/(-30)*(-5)\/(-1). Suppose -d = i - 5*i. Let n(a) = 2*a - 8*a**3 - 6*a**2 - 8 + 13*a**3 - 6*a**3 - 10*a**3 + 12*a**3. What is n(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z + 3. Let k be t(-1). Let j = k - 0. Let f = 1582 + -1578. Solve -j*w - 9 = 5*a + 12, -23 = 3*a - f*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((-2*(sqrt(605) + -4 + sqrt(605) - sqrt(605)))**2 + 2*((sqrt(5) + 0 + 3)**2 + sqrt(5)))*1.\nAnswer: -676*sqrt(5) + 5024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-23)\/(-2) - 9\/6. Suppose -5*v - 30 = -g*v. What is the least common multiple of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes after 12:30 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**3 + 4*r**2 - r - 1. Let n be j(4). Let y = 9 + n. Suppose -3*b + 1450 = y*i, 9*i = -3*b + 4*i + 1445. What is b rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/1 - 14*(-12)\/(-126). Which is the third biggest value? (a) 0.51 (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6137824 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -50*h + 568803 - 569253 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*t - 9. Suppose -d - v + t*v + 1 = 0, 0 = 5*d - 3*v + 29. Calculate the lowest common multiple of 6 and 2\/7 - 54\/d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - 0.1. Let p = -57870.02 - -57870. Which is the third biggest value? (a) k (b) p (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 522.04 - 522. Let n = 131 + -656\/5. What is the smallest value in v, 0, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31756104931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.18117 + 15448.18117. Sort 0.2, -0.5, l in descending order.\nAnswer: l, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**2. Let i(c) = c**3 - 9*c**2 + 8*c. Let q be i(8). Suppose -4*z - 4 = -l, q*z = l - z - 1. Suppose l = p, -2*j + 6 = 3*p + 2. What is s(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 8. Suppose -4 = w - z. Suppose 3*s + 285 = 22*s. Solve 2*q + s = -2*g - g, w*g + 3 = q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -2*d**2 - 13*d + 9. Let w be a(-7). Suppose -4*j + 3*j = -289. Suppose x - 6*x - w*t = -281, 5*x - j = 2*t. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lapyacqp. What is prob of sequence py?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7011 is divided by 89?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + a**4 - 1 + (-5*a**3 + 2*a**3 + a**3)*(-1 + 1 - a) + a**4 - 24*a + 24*a + 0*a**4 + 5*a**4 - 4*a**4 - a**4 - 2*a**2 - 3*a**4 + 4 + 3*a**4.\nAnswer: 4*a**4 - 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:15 PM and 9:07 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 705*r - 1161. Is i(19) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50153.78g in micrograms?\nAnswer: 50153780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 300*1 - 0\/1. Suppose 0*t - 3*t = y. Let s = 183 + t. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 less than 2546.123945?\nAnswer: 2546.183945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94300 is divided by 5545.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3\/(-5) - -1) + 0. Let s = -263 - -260. Which is the second smallest value? (a) -1\/2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -41 - 15 = 14*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6? (a) -0.2 (b) -9 (c) 12.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the second derivative of -7*w**3\/6 + w**2 + w. Let r be (8\/18 - 133\/(-855))*10. Let f be (-23)\/(23\/r) - -10. Give m(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6211 and 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 3*i - 4 = -2*i, 0 = 4*m + i - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-5 + 3)\/(-6) - (-164)\/3.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1605749819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Round 6.86491496 to three decimal places.\nAnswer: 6.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3808, 0.2, -1\/5, 5, -0.478, -9, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 23*f**3 + 5*f**2 - 5*f - 5. Let j(r) = -333*r**3 - 72*r**2 + 72*r + 72. What is 72*d(l) + 5*j(l)?\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 - 16. What is the second derivative of -s**2 - 12*s - 13*s + a*s**2 - 5*s**5 - 5*s**2 wrt s?\nAnswer: -100*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 66582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/s**(-2\/21))\/s**(-3\/2))\/(s*s*s*s**(1\/5)\/s*s*s*s*s*s\/(s**34\/s)*s))**15 assuming s is positive.\nAnswer: s**(5753\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 - 10*y**2 - 10*y - 6. Let d be n(-9). Solve -12 = -m - d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w - 1. Let y(d) = -2*d**2 + 9*d + 9. Let o(c) = 4*r(c) + y(c). Let k(l) = 9*l**2 - 21*l - 21. Let v be ((-6)\/1)\/(14\/(-49)). What is v*o(h) + 5*k(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 2*j = 32, 2*h = -h - 2*j + 47. Let y(q) = q**3 - 14*q**2 - 14*q + 20. Does 15 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -5*j**2. Let p(n) = 80*n**2. What is p(f(h))?\nAnswer: 2000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9991044 and 4592.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24894376 and 4787380.\nAnswer: 124471880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.9 - -0.1. Let a = -5 - -10. Let v = -944\/1535 - -66\/307. What is the nearest to v in a, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5393 - 2717 - 2676 + 11802*u to the form l + j*u and give j.\nAnswer: 11802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 5697*s - 4854. Determine j(1).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from bocoucl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {o: 5, d: 15}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -311 - -599. Let m = v + -287.987. Is m < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1785, -3474, -5175, -6894, -8637?\nAnswer: -10410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17272102*0.4.\nAnswer: 6908840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**2 + 2*k + 9. Give v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2187 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {g: 2, v: 2, q: 4, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 + (4204\/600 - (8 + -6)). Let q(f) be the third derivative of w*f**5 + 0*f**4 + 0*f**3 + 0*f + 0 + 5*f**2. Find g such that q(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*m**2 - 2 + 1 + 2)*(62*m**2 - 81*m + 81*m) to the form g*m + i*m**2 + n*m**4 + f + l*m**3 and give n.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2453035447 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - 80?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -262931, -262938, -262949, -262964, -262983, -263006, -263033?\nAnswer: -263064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 164150661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3*-1 + (-253)\/(-23). Suppose a*o = 24 + 48. Solve o + 23 = -3*z - 5*r, 4 = -4*z + 3*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 12035 = 2245. Let s be (-6)\/(-10) - (-103877)\/q. Let u = 1\/1428 + s. Find the common denominator of u and 12\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -29, -4, 47, 2 in decreasing order.\nAnswer: 47, 2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = 1021*c - 1023*c - 9, 4*z - 3*c + 6*c = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.519 + 4.519. What is the second biggest value in -78, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 12:56 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, p: 1, h: 1, e: 1, y: 1}. Give prob of picking 1 a, 1 e, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 11242222 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - 2*p + 3, 3*w - 5*p - 2 = 22. Suppose 18 = 4*m - r - r, 5*r + 31 = w*m. Solve -d = m*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1648 and 10380144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 63993, 255974, 575943, 1023900?\n\"Answer: 63994*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/1040 and 59\/4160.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 26.3 + -26. Let i be (-2170)\/248 - (-8 - 1). Sort 19, l, 3, i in descending order.\nAnswer: 19, 3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of u**6\/36 - 7*u**5\/120 + u**4\/36 + 6*u - 9. Let r(z) be the first derivative of s(z). Factor r(y).\nAnswer: y**2*(y - 1)*(5*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1408450207?\nAnswer: 257, 661, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 87438 (base 12) in base 2?\nAnswer: 101011100110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 101, 307, 607, 1001, 1489, 2071, 2747?\n\"Answer: 47*j**2 + 65*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*z + 86 - 1098 + 172 = 860 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 21*4\/12 + -3. Let b be 36\/(-135)*6\/r. What is the third smallest value in b, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 7561*v = 7556*v - 29, -3*s + 2*v + 20 = 0. Suppose 2*p - 3*z = -5, 3*z - 22 + 7 = -3*p. Let q(t) = -2*t + 1 - p + 0*t**3 + t**3. What is q(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006677 times -5.75?\nAnswer: 0.03839275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 415 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ff when two letters picked without replacement from qqhqvvhfqhvqfhfqhfvf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of d**6\/120 + d**5\/12 + d**4\/8 - d**3\/6 - 10*d**2. Suppose 10 = -5*h - 10. What is b(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 152638 and 15538?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -76283, -152648, -229013?\n\"Answer: -76365*n + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 439772251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*r - 24*r - 14*r**2 + 12*r.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 249 + 71 = 5*i. Let j = 110 - i. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + 602?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 40.9? (a) 0.3 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 55011*c**3*i - 2*c**2*i + 114*c + 42*i wrt c?\nAnswer: 330066*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63784*r - 58454*r - 119226*r + 1828*r.\nAnswer: -239636*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6417 and 2511.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18*b**2*j**2 + 56247*b**2 + 10*b + 62019*j**4 wrt j?\nAnswer: 36*b**2*j + 248076*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 712759 is divided by 148.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-1582)\/(-1130)*75\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2942065487 to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 541\/363 - 19\/121. Let z = -237199\/5 + 47632. Let f = -193 + z. What is the second biggest value in -0.07, f, n?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u. Let r(t) = 905*t - 128*t + 212*t. Calculate r(b(z)).\nAnswer: -989*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4061515.8 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1\/4, 4, 1\/2, 0.01, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3117664 divided by -45848.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:31 PM and 6:55 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (7*(-68)\/357)\/(1\/6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 12*a - 44. Let h(l) = 7*l - 126. Let g be h(17). Determine p(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 286*g = 290*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -8*c**3 + 3*c + 2. Let j = 11 - 12. Calculate the remainder when 19 is divided by f(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, -2\/5, 4\/13, 0, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -8*u + 104. Give j(19).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (10 - 0) + 261 + -267\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 + -1)\/(-6) - (-3 + -1). Suppose 4*r - 868 = j*p, -868 = -3*r - 2*p - 222. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04830828 rounded to 3 decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*y - 568 - 1378 = 0. Let t = 74 - y. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*u**2 + 46*u**3 - u**4 - 45*u**3 - 3*u + 6*u + 1 as z*u**3 + v + p*u**2 + h*u**4 + j*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3 - ((-26874)\/4)\/9. Let j = c - 23951\/32. What is the common denominator of j and -31\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 2*x**3\/19 - 5396910*x**2\/19 + 5396908*x\/19 = 0.\nAnswer: 0, 1, 2698454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -38.19908 to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -16077 by -22.\nAnswer: 16077\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 3*g = 324. What is the remainder when g is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -z - 5*o, 18 - 27 = 5*z + o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 533 and 76252605?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -4*b - 79. Let r be d(-18). Let g(o) = o + 5. What is g(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -84, -813, -2852, -6855, -13476, -23369, -37188?\nAnswer: -55587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -45, -0.9, -2\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - (-25057)\/(-2))\/(6\/(-4)). Let z = -4592 + o. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*l + 29 = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 195 and 349440.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 21*x + 225. What is q(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i. Suppose -3*z + 5*x + 1869 = 0, -2*z - 2*z = -3*x - 2503. Let n(w) = -9*w**2 + 628*w - z*w. Calculate p(n(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -4.33373997 to 4 decimal places.\nAnswer: -4.3337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) 3\/2 (b) -2\/57 (c) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 5 - (4 + 5) - (-2 - 7) - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {p: 1, b: 1, d: 2, x: 2, r: 1, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 624 and 9308?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -64912100 to the nearest one hundred thousand.\nAnswer: -64900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -8, 4, 143, 3, -5, -9.\nAnswer: -9, -8, -5, 2, 3, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 + 6*n - 85. Let j = 161 - 128. What is the least common multiple of j and y(-14)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, 6, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 12, g: 6}. What is prob of sequence cg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.6 - 0.1. Suppose 5*x = -w - 45, -3*w + 0*x = -2*x + 50. Let o be 40\/48*(-36)\/w. What is the third smallest value in -0.2, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from {e: 1, m: 9, l: 4}?\nAnswer: 48\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -31 + 1 + 2 + 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -5) + -11 - (-4 - -11 - -3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -18712, -18719, -18710, -18679, -18620, -18527, -18394?\n\"Answer: t**3 + 2*t**2 - 20*t - 18695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 247 and 372?\nAnswer: 91884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*k - 72 + 2*k + 7*k to i + b*k and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -85, -166, -281, -436?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 t, and 1 n when three letters picked without replacement from vovntovoootvnnv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -23*k*o + 242480*k - 21275*o - 1 wrt o.\nAnswer: -23*k - 21275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 29.871 and 2676.724?\nAnswer: 2646.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 - 9. Find the third derivative of 2*u**2 + 10*u**4 - 19*u**4 + w*u**2 wrt u.\nAnswer: -216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27386731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 5 + (sqrt(108))**2*-6)*5.\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 223202 + 322?\nAnswer: 230130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 - 6*u**2 + 8*u - 2. Calculate the remainder when s(7) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20111101 (base 3) to base 8.\nAnswer: -11177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and 35841.\nAnswer: 71682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17876\/16 + 5\/(-4).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of -x**4\/12 + 5*x**3\/2 - 11*x**2\/2 - x - 17. Let i be q(13). Solve -i = -3*k, 4*k = -4*h - h + 35 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/192 and -95\/24?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*a**3 - 7*a**3 + 0*a**3 + 4 - 4*a**3 - 4 + (-a + a + 2*a)*(13*a - 13*a + 7*a**2) - 3 + a**3 + 3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (-3 + -6 + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -11.144 rounded to one dp?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -6867 = -622*y - 357 + 6552 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -422 + 2180 - 183 = -175*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 209*c - 12771*c - 581*c - 7795*c + 2*c**2 + 2263*c to p + w*c**2 + x*c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 3*u - 2*h - 4844, -5*h - 4832 = -4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 261088.9 years to months.\nAnswer: 3133066.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 510 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 - x**2 + 5*x + 2. Let w(j) = -j**3 - 4*j - 1. What is -4*v(k) - 5*w(k)?\nAnswer: k**3 + 4*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 4:14 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*w - 64. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -31499, 5, 53, 0.\nAnswer: -31499, 0, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(90)\/sqrt(96))\/(sqrt(45)\/((sqrt(9) + sqrt(225) + sqrt(9))*1)))**2.\nAnswer: 1323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 2, -1\/3, 17, 0.3, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (8363 - 8370) + 2\/2 + 46\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 - 5*a**2 + 4*a - 3. Is g(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 - -62?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lrlxllllrrrlrrcrrrc. Give prob of sequence cl.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 1212233?\nAnswer: -1212243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 13458 = -4*f + 5992, m - 9720 = 3*f. Suppose -36*u = -1149 - m. List the prime factors of u.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-232)\/(-174))\/((-20)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/2*((-15)\/(-18))\/((-33)\/(9207\/(-155))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2.6, -1\/3, 0.076?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.074 + -2.074. Which is the nearest to 0.1? (a) l (b) -1.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + 4*h + 4, -5*k + 2*k - 2*h - 2 = 0. Suppose k = 3*b - 0 + 6. What is the remainder when 51 is divided by ((-21)\/b)\/((-12)\/(-32))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 8. Let j be 1\/3*45\/(-3). Let v = -1 + j. Give w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -108, -106, -104, -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + ((-2988)\/270)\/(30\/(-25))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 177 - 156. Suppose 4*s = i*s - 510. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 5*j + 60 = -0*j, -j = -4. Suppose 2*v - 4*r = v - s, 3*v - 5*r + 3 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 28*(328\/14)\/41*7\/(-2)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 33795561 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5.072738 decades?\nAnswer: 608.72856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 174*l**4 + 7*l**2 - 4854*l - 13570139 wrt l.\nAnswer: 696*l**3 + 14*l - 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -31\/2, 0.3, -5, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33 divided by 1357.\nAnswer: 33\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -5*t + 105, 2*t + 160 = j + 62. Let s(r) = -29*r + 1186. Let d be s(34). Calculate the highest common factor of d and j.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**2 - 16*y + 16*y + 2*y**2 + y - y + (0 + 0 - 2*y)*(4*y - 3*y + y) - y**2 + y**2 - 3*y**2)*(0 + 2*y + 0)*(-2 - 1 + 1 + (-2 + 3 - 2)*(-1 - 4 + 6)).\nAnswer: 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of 4*d**4\/3 + 2354*d**3\/3 - 1770*d**2 + 7874*d. Factor m(c).\nAnswer: 4*(c + 295)*(4*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5c25 (base 13) to base 11.\nAnswer: -9889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 289605636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3*o**2 + 8*o - 13. Is t(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (95\/((-44175)\/(-62)))\/((-6)\/(-20))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:07 AM and 2:24 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2311 (base 4) to base 11\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1\/4, -953, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -7\/39 (c) -305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -279*t + 281*t - 17, -t - 2 = 2*h. Solve -3*l + 13 = -3*n - 2, 0 = 3*n + t*l - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*a**2*o*v**3 - 41*a**2*v**2 - a**2*v + 2*a*o*v + 1000*o*v**4 + 7*v wrt v?\nAnswer: 12*a**2*o + 24000*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 832006.9 litres in millilitres?\nAnswer: 832006900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times -42\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 0*l - l + l - 2*l + 26. Let s be q(13). Solve 5*y + s = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -51 (base 7) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2*42 + (-3)\/(3\/(-4)). Let x = z + 78. Let b = 1 - -4. Sort -6, b, x in decreasing order.\nAnswer: b, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000734 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 714217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*k**5 + 668*k**3 - 78*k**2 - k - 6 wrt k.\nAnswer: -300*k**2 + 4008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in 5\/8, 3, -14?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1964179\/26 or 75545?\nAnswer: 75545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 442 is divided by (-6 - -7 - 0)*137?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.48 + 2.48. What is the nearest to -0.3 in 0.3, 3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.03, 1, -1\/3, -1\/18, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -36.167 - -36. Let a = 0.11 + -0.084. Let s = a + c. What is s rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -6*x**3 - 3*x**2 + x. Suppose 0 = 6*t - 8*t - 5*q - 14, 2*q + 14 = -5*t. What is the tens digit of f(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.07, 2\/7, 32?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 3 s when four letters picked without replacement from {b: 4, d: 1, s: 4, g: 1, k: 1}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 195\/(-1014)*(-192)\/(-60)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -2*y + 7 - 7 - 2*y. What is the tens digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5290541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 42 + -29 + (-26 - -38).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c + 11. Let a be b(9). Let o(z) = 2 + 4 - a*z - z - z. Let m(n) be the third derivative of 5*n**4\/24 - 7*n**3\/6 + n**2. What is 5*m(f) + 6*o(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 108 - 107.9999848. What is d rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1\/560 - 4757\/1680. Calculate the common denominator of b and 21\/28*(-628)\/(-90).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 2*v**2. Suppose -5*z + 5*a = 65, -2*z - 4*a - 92 = 3*z. Let f = 17 - z. Let w(r) = 11 - 18 - f*r + 7. Give w(p(i)).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**2 + 14*p + 49. Let s be o(-15). Let k = 68 - s. Is (-6)\/3 - -751 - k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i - 5. Let q be j(8). Let l be (209\/4)\/(q\/12). What is the greatest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of -i**4\/12 - i**3\/2 + 3*i**2\/2 + 3*i + 91. What is k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -282, 1\/8, 0.1, 4, 0.2.\nAnswer: -282, 0.1, 1\/8, 0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5 + (-4 - -1) - 2. Suppose -2*o + 26 - 8 = v. Suppose -21 = 6*g - o*g. What is the remainder when 26 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83 - 59. What is the remainder when 45 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/189*-1*(-867)\/34 and 8\/2037.\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**0*u\/(u*u\/(u**(-2)*u*u*u))*(u\/u**(-1\/3))**(1\/2)*(u*u*u**(1\/3)*u*u)**(-2\/77)*(u\/(u**(2\/3)*u*u))**(-6) assuming u is positive.\nAnswer: u**(2438\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + ((sqrt(1584) + sqrt(1584) + 1*sqrt(1584))*6 - (sqrt(1584) + (sqrt(1584) + 2 + sqrt(1584) - sqrt(1584) - sqrt(1584)) + 5))*6)**2.\nAnswer: -100368*sqrt(11) + 16481617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1642 (base 8) in base 4?\nAnswer: 32202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) -45 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*1*sqrt(102))\/sqrt(6) + 1.\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 54\/5 of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tatatyyatytzztytztta. Give prob of picking 2 t and 2 z.\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 333 = 3*s + 3*l, -5*s + 2*l = -4*s - 102. Let u be 2\/(-3) - (-612)\/s. Solve 3*g - 15 = 3*r, -2*g - u - 5 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/(-5) - (-98)\/10. Let z = -7 + y. What is the second derivative of i + z*i**5 - 2*i**5 - 2*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 2*o = 634, -89*p = -87*p - o - 422. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 4132 (base 5) to base 9\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -5*j - 1. Let b(m) = -14*m - 4. Let l(o) = 6*b(o) - 17*s(o). Let x be (-10)\/(-2) + (-112)\/28. Let t be (-1 - (-2)\/x) + (-10)\/(-2). Calculate l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208) + 3*sqrt(208)*-2 + (sqrt(208) - sqrt(208)*1*6 - sqrt(208)))**2*-4*3.\nAnswer: -302016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 45993 times 3\nAnswer: 137979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/19479 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -181 + 169. Find the common denominator of 35 and (4\/20)\/(k\/210).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6546\/(-29457))\/(((-2)\/36)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 8*u - 4*c = -1987180, 3*u = c + 1490361. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 + 48616*d + 437474. What is h(-9)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -11 + 14 - -18*5\/10. Let d(o) = -o**2 + 4*o - 4. Let u be d(4). Let l = 14 - u. Calculate the highest common factor of l and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -27 + 28. Suppose 4*o + w = 61. Let d be 5*-1*(-18)\/o. Solve 0 = -m + 3*m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(5) + (sqrt(45))**2 + 1).\nAnswer: -184 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, 10, -14\/9 in increasing order.\nAnswer: -14\/9, 2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -24965172.74 to the nearest 100000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-4) + 18\/4. Solve 2*s = f*x - 10, -4*x + 7*x + 2*s = 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -38? (a) 0.3 (b) 5 (c) -5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 88450 or 88449?\nAnswer: 88449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 7915233, 15830465, 23745697, 31660929, 39576161, 47491393?\n\"Answer: 7915232*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 0.5, -0.4, 6, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1173320007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -165\/4 - 19\/2*j - 1\/4*j**2.\nAnswer: -(j + 5)*(j + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3\/11 - 103134*g**2\/11.\nAnswer: 2*g**2*(g - 51567)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3609689112 a multiple of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 193.3 and -3033.8?\nAnswer: -586433.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 3*f**4\/4 + 24261*f**3\/4 - 9*f**2\/4 - 72777*f\/4 + 24261\/2 = 0.\nAnswer: -8087, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 AM and 7:08 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of -d**2 + 12*d - 67. Let x be b(4). Solve 4*j = -3*g + 3*j + 8, -8 = -x*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -3 + (sqrt(2299) - (sqrt(2299)*4)**2) + 2*(3 + sqrt(2299))*4.\nAnswer: -36764 + 99*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f + 0 + 18*f**2 + 2 - 29*f**2 + (-5 + 5 + 3*f)*(-f + 0*f + 0*f) to the form g + c*f + o*f**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006276553 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j - 3*j - j + 4*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -3, -2467914, 8 in increasing order.\nAnswer: -2467914, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 15*w - 37. Suppose -2*q - 37 = 15. Let z = 33 + q. What is the units digit of o(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1935529 and 15425.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/1*72\/(-1260)*20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -37 - -41. Suppose 3*s - w*y = 247484, -76348 = -s - 3*y + 6164. What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-2))**(2\/83))**(3\/16)\/((((q*q*(q\/(q*q**1))\/q)\/q)\/q)\/q*q**(-1\/3)*(q**2*q)**(1\/12)) assuming q is positive.\nAnswer: q**(6169\/1992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1989 divided by -6.\nAnswer: 663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -4*r - 3. Let m = -2989 - -2992. What is the remainder when m is divided by 1 + 0*r\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-5 - -2) + 17 + -36.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j. Let s(n) = 0*n + 2 - n - 5*n - 4*n. What is 8*q(u) - s(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7945758 is divided by 8553?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -7*c**3 - 3*c**2 - 9*c + 11. Let y(u) = 10*u**3 + 5*u**2 + 13*u - 16. Let l(v) = -7*m(v) - 5*y(v). Let z be (-7 + 9)*4\/(-2). Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (1 - 0) + 10 + 5032 + -5008?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 32232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 771 - 753. Suppose 4*f - 110 = -k - l, f + 3*k = 12. Solve -f*v - 10 = -29*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 6*u + 2*u - 11 + (0 + 2*u + 0)*(0 - 5 + 3) + 6*u - 10*u - 5*u)*(-2*u - 4 + 4).\nAnswer: 34*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -143626 + -20?\nAnswer: -143646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 + 59\/(-4)*1)\/(36\/(-16))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -170608, -682482, -1535628, -2730064, -4265808, -6142878, -8361292?\n\"Answer: -3*a**3 - 170618*a**2 + a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -123\/2 - -61. Which is the third smallest value? (a) 1\/7 (b) j (c) -0.04 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 16 and 17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 15) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 74865.6 and 82?\nAnswer: 74783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -5*-7.64533\nAnswer: 38.22665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 - 6*f + 11. Let v be s(6). Let y be (4 - v - -2) + 1. Let z(j) = -13*j - 9. Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dtrttkdet. What is prob of sequence ek?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the first derivative of x**3\/3 - 13*x**2\/2 + 50*x + 4365. Give z(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3136900, 6273837, 9410782, 12547735, 15684696, 18821665, 21958642?\nAnswer: 25095627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from {x: 3, v: 3, l: 1, a: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 - (-7 - -12 - -11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 10? (a) 0 (b) -0.3 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -214 divided by -392.\nAnswer: 107\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -209b36 (base 14) to base 8.\nAnswer: -4151324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0.4, 10\/7, -2, -72.\nAnswer: -72, -3, -2, 0.4, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 10929844 to the nearest one thousand.\nAnswer: 10930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x. Let w(g) = -7*g**2 - 7*g. Let o(d) = -7*d**2 - 6*d. Let a(i) = 7*o(i) - 6*w(i). Give t(a(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 966 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10338, -20748, -31144, -41520, -51870, -62188, -72468, -82704?\nAnswer: -92890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -275 + 282 + (-1)\/(1*9) - 7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, m: 2, c: 1, d: 6, b: 3}. Give prob of sequence mdm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*h + 3*h = 518. Solve 0 = 5*q - 2*q - n - h, q + 12 = -3*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1064.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.601961 - -472.\nAnswer: 472.601961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -2*i - 36. Let p = -2 + 0. Let n(w) = 9 + 16 + 2 + 0 - 29. Calculate p*f(l) + 36*n(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15 + -13. Solve 2*a + f = 4*a - 4*t, 0 = -a - 4*t - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1606029 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(4\/9))**(2\/37)\/(n\/(n*n**(-1\/4))*n*n**(-3\/10)\/n))**37 assuming n is positive.\nAnswer: n**(853\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 11.4, 0.02, 3\/7, -1\/5568?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of u**8\/336 + 222*u**7\/5 - u**6\/120 + 6863*u**5\/60 + 4449*u**2. Find the third derivative of a(d) wrt d.\nAnswer: 60*d**2 + 223776*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1039*c - 1767*c + 20*c - 1157*c - 92*c + 2.\nAnswer: -4035*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 41483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (y**2 + 3*y**2 - 3*y**2)*(0 - 21*y + 10 - 8) as s*y**2 + m*y + w*y**3 + n and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -155 + -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 153\/5316440?\nAnswer: 153\/5316440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14225\/(-330) - -25) + 0 + 17 - 5\/30.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, 3559, -208, 13?\nAnswer: 3559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 140.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w - 2 - 2 + 2 + 3*w. Let n(b) = -b**3 + 6*b**2 - 6*b - 1. Let r be n(5). Let h be 44\/56*r + (-4)\/14. Determine o(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 6, j: 5, r: 4}. What is prob of picking 1 z and 3 r?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 679 is divided by 163?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 12*m - 11*m + 0*m. Let u(v) = -715*v. Determine d(u(p)).\nAnswer: -715*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -260 by -2.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, -4, -0.07, -21.047, 3, -5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 8 - 8*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 4331.\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 50229126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2 - (5 + -10) - 91. Which is bigger: a or -92?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1100 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (89 - 77 - -15) + -69?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -174 or -18?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p = -2*p - 5. Suppose 0 = -5*z + 5*w - 5, -2 - p = 5*z - 3*w. What is the third derivative of 6*y**3 + z*y**3 - 4*y**3 - 2*y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8571222 and 32850.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 24755542 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -729, -1538, -2349, -3162, -3977, -4794, -5613?\n\"Answer: -a**2 - 806*a + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28919 is divided by 2409?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 1 - (-3 + 4 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.387 and -267.\nAnswer: -267.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 197875.9814 + -198016. Let h = i + 140. What is h rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -9 (b) 68005 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**4*v)\/v)\/(v**(-9)*v)*v**(-9)\/v*v**(2\/9)*v assuming v is positive.\nAnswer: v**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -67239 - 3\nAnswer: -67242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 7642 (base 10) to base 4.\nAnswer: 1313122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -2686 + -28394.\nAnswer: -31080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -231432234 (base 5) to base 14.\nAnswer: -1d3264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of -u**6\/15 + u**3\/3 + 3*u - 1. Let i(a) be the first derivative of f(a). What is the second derivative of i(s) wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of m**4\/6 - 2*m**3\/3 + m**2 + 2*m - 2. Let k(p) be the first derivative of i(p). Suppose k(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(44)\/sqrt(4) + 5 - (1 + 0 + sqrt(11))**2.\nAnswer: -7 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/9*4788\/19950\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*l + 3 = -41. Let d(b) = -3*b**3 - 12*b**2 - 12*b - 7. Let q(y) = -16*y**3 - 59*y**2 - 60*y - 35. Let k(v) = l*q(v) + 11*d(v). What is k(-13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 2 - g**3 - 5*g**2 + 5 - 4*g + 2*g. Suppose -i - 55 = -5*d, 477*d = 476*d + 10. Calculate h(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + 0)) + -1 + 2*sqrt(11)*-2 + -3 + (1*sqrt(704))**2)*6.\nAnswer: -24*sqrt(11) + 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -4*a - 160. Let j be ((-744)\/a)\/((-2)\/(-720)). What is the hundreds digit of j\/81 - (0 - 2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 4*u**2. Let z(c) = 143126*c**2. Determine w(z(b)).\nAnswer: 81940207504*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {w: 1, p: 11, m: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjvvvvj. What is prob of picking 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2321*n**4 + 2*n**3 - 5*n**2 - 272413*n - 14 wrt n.\nAnswer: 27852*n**2 + 12*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -30 - 23310?\nAnswer: -23340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 3408668?\nAnswer: 6817336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.119082*0.5\nAnswer: -0.059541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -211476386*k**2 + 682*k + 3711 wrt k.\nAnswer: -422952772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13616186 is divided by 286?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:03 AM and 10:53 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3992 - 1977 = 13*l + 1989 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 264765 is divided by 29385.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -1\/3, 1\/7 in decreasing order.\nAnswer: 1\/7, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w = 3*w + 22*w + 248 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(1188)*-2)\/(sqrt(1100) + 2*sqrt(1100)*4).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 3*t - 73, -2*t + 58*g + 52 = 62*g. Suppose 50 = s - 64. Let n = s - t. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 11*h**2 - 3*h**3 - 19*h + 8119 - 8112 + 2*h**3. Determine q(5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3941905 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -78.229673 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -10*s + 9. Let g(a) = -34*a + 32. Let q(z) = 2*g(z) - 7*t(z). Let h(v) = -v**2 - v. Give 6*h(r) + 3*q(r).\nAnswer: -6*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 14*w**2 + 16*w - 6. Let n be a(13). Suppose -5*v = 4*t + n + 4620, -t = -4*v + 1274. List the prime factors of (t\/(-19))\/(2*1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 824875?\nAnswer: 1649750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -16\/3, 1\/4, 1\/2.\nAnswer: -16\/3, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1\/5, -5, 0.4, -10, 2\/17?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4 - ((-9)\/(-3) - 18). Let j be (-3)\/12 + (-68)\/(-16). Suppose 0 = -j*r + x + 25. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 98 = 3*s - 6*o, -4*s + 2*o + 134 = 0. Calculate the remainder when 178 is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22662297?\nAnswer: 3, 7, 359719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -1\/23 (b) 0 (c) -25225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -14*k + 86. Let g(w) = 7*w**3 - 3*w**2 + 2. Let a be g(1). Let p be r(a). Solve 0 = 5*l + 5*f - 20, -p*f + 12 = 5*l + f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 718721471 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 980 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: Factor -5*c**3 + 580*c**2 - 16225*c - 34810.\nAnswer: -5*(c - 59)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 - 2*q + 3. Let g(m) = -m**3 + 10*m**2 + 58*m - 36. Let r(k) = -5*k - 161. Let t be r(-35). Let i be g(t). Give p(i).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 238850041*z**4 - 148402*z - 246 wrt z.\nAnswer: 2866200492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 + r - 1. Let t(u) = -10*u - 7*u**2 - 5*u + 2*u**2 + 6*u + 8. Let n(l) = -6*a(l) - t(l). Factor n(i).\nAnswer: -(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (25*k**2 - 8*k**2 - k**2)*(k - 2*k + 0*k)*(k - k - 2*k + (-6*k + k + 3*k)*(5 - 4 + 1)).\nAnswer: 96*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3081 - 6?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8*n**2*v**6 - n**2*v**4 + 239*n**2*v**2 + 2 wrt v?\nAnswer: -960*n**2*v**3 - 24*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 + 18. Let o(f) = 8*f + 89. Let a be o(5). Suppose -186 - a = -z*n. What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) -2\/5 (c) -2\/3 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10382.5994107 - 1.5930107. Let i = a + -10405. Let u = 24 + i. What is u rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = b + 2*x - 2, -3*x - 12 = 0. Calculate the lowest common multiple of b and 1*(1 - 3) - (1 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - -7. Let y(a) = 5*a**2 + 4*a. Is y(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + -5)*(144\/60 - (-1053)\/(-270)). Let r = -9 - -14. Solve c - r = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10\/263 - -476\/1315. Let z = 0.8 - 0.5. Put z, a, -0.1 in increasing order.\nAnswer: -0.1, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1913, 4, -1, 3714 in increasing order.\nAnswer: -1, 4, 1913, 3714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5438281126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10 + 3143?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 23 = -5*l, -2*l - 2*f = 3*f + 20. Let x(y) = -646*y + 5. Is x(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 + 46 = -4*m. Let i = -28 - m. Let d = i - -16. Solve 0 = -0*n + 4*n - d*v + 37, -2*v + 7 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1157 is divided by 1123.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2275, -8855, -19887, -35365, -55283, -79635?\nAnswer: -108415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 2 (b) -6\/13 (c) 1\/6 (d) 2\/3 (e) 70\/13 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 111317134 - -0.2.\nAnswer: 111317134.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6478 is divided by 3228?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1127776 and 1456?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - o = -35, 50*s = 52*s + 2*o - 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 AM and 1:26 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (3*(sqrt(1584) - (sqrt(1584)*-1 - sqrt(1584)))*3 - ((sqrt(1584) - sqrt(1584)*-2) + -2)*-6)**2.\nAnswer: -12960*sqrt(11) + 3207742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + -c4c23c?\nAnswer: -c4c243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/(-14) + (-9864)\/63. Let q = -109 - y. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -b*f**2*s**2 - 244*b*f + 98*b*s**2 - b*s + 2*f**2 - 4 wrt f?\nAnswer: -2*b*f*s**2 - 244*b + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -1373*p - 5203. Let u be b(-4). What is the greatest common factor of u and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -456 + -5?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = -5*s - 18, 2*k - 55 = 3*s - 105 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-29)\/87*(0 - 1257)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1 + 5\/4*u**5 - 5*u + 31\/4*u**2 - 7\/4*u**4 - 13\/4*u**3.\nAnswer: (u - 1)**3*(u + 2)*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -b**4*x - 157*b**4 - 14*b**2*x - 31*x - 15 with respect to b.\nAnswer: -4*b**3*x - 628*b**3 - 28*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -22*j + 26*j. Let g(v) = v - 7. Let s be g(7). Solve s = 2*w + 2*w - j*f - 45, -10 = -5*w - 3*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -111452 + 5*o**2 - 21*o**3 - 52*o**2 + 111449 to the form z*o + y*o**3 + j*o**2 + d and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 75226860419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.4 + -0.4. Let s = u - -0.007. Round s to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*l**3 + 7*l**3 - 191263*l**2 + 191263*l**2 + 0*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 55\/2 of a meter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v**2 + 0*v**2 + v**4 + (4*v**2 - v**2 - v**2)*(-6*v**2 + 0*v**2 + v**2)*(73 + 1170 + 548 + 1324).\nAnswer: -31149*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 - -7. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r + 13. Let c be d(13). Solve -k - 2 = -c*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 + 1. Let s(x) be the first derivative of -13*x**2\/2 - 621. Determine w(s(z)).\nAnswer: -169*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 649 a factor of 217415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**3 - s**2 + 2. Let b be j(-4). Suppose -4*q + 6*q - b = 0. Suppose 3*m = -q + 355. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fhh when three letters picked without replacement from {f: 3, x: 5, h: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0, -1\/2, -8, 7, 1386?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by 23.\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (485 - 2*p - 482 + 0*p + 5*p**2)*(-3 + 5 + 0).\nAnswer: 10*p**2 - 4*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 5, 2, -0.08, -26, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fffc when four letters picked without replacement from ffcfcfffcfccccffcfcc?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 4*i = -12. Let s(z) = -51226*z + 17077*z + 17075*z + z**2 + 4 + 17073*z. Give s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 2 w when four letters picked without replacement from wwwwwwywyywwwywwyw?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + 1 + 2 + 4. Suppose -r + 25 + 13 = -4*c, -5*c = r - 20. Let b be ((-21)\/9 - -1)*45\/r. Sort -5, k, b in descending order.\nAnswer: k, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/7 - (-96)\/(-168). Solve 54*r - 52*r - 6 = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 103*o - 127 + 165 = 862 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(3 + (-3*3*(1 + -1 + sqrt(1331)))**2*6*-6).\nAnswer: 11643579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-14)\/49 + (-848)\/(-28). What is the remainder when 32 is divided by (27\/(-45))\/((-1)\/y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 987207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-60)\/64*(-4 + 8) and (-51)\/7 + 1\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 306407364 and 6.\nAnswer: 306407370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 5*a - 2. Let r(s) = 11*s - 4. Let y(i) = i**3 - 2*i**2 - i + 3. Let m be y(3). What is m*d(g) - 4*r(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -9 (b) -0.1 (c) 14.3 (d) -4.67 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**4 + r**4 - 7*r**4)*(16 - 7*r - 16) + (6*r**4 + r**4 - r**4)*(-3*r - r + r).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.4 + 3. What is the biggest value in 2, g, 0.5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 - 4*k**2 + 15*k - 12. What is s(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hlhhlvhvhllmlmhvh. What is prob of sequence hmhm?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 11536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.48 and 0.04729?\nAnswer: -0.0226992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -3*d + 1204, -3*d = -2*d - 5*y - 398. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 235067 is divided by 58764?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 345618 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of -u**9\/26880 - u**8\/1344 - 37*u**7\/20160 - u**6\/480 + u**5\/6 + 8*u**2. Let y(n) be the third derivative of t(n). Factor y(x).\nAnswer: -(x + 6)*(3*x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2780381 > 2780382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 3*o + 9. Let y be u(-3). Let g be y + 20\/(-6) + 2 + 1. Let b be 2 + 4\/5*-2. Sort g, 1\/3, b in decreasing order.\nAnswer: b, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 10 = -3. Let f = v - -15. Suppose -f*d + 455 = -265. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 3 + 2*a - 6 + 3 + 3. Let x be i(9). Let q = x + -5. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1536, 6232, 14054, 24996, 39052, 56216, 76482, 99844?\n\"Answer: -x**3 + 1569*x**2 - 4*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 50 - 45 - (-5 + (-15)\/(-5)) - 28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.2, 3\/7, 315, 32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-145)\/(-87) + 8\/6. Solve z = -2*w + 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 30 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 12, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108 = 2*b + 8. Let y = 62 + b. What is the second biggest value in y, -3\/5, 5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -d*h*o*x**2 + 736*d*h*o*x + d*h*x + 6*h*x + 68*o*x**2 - 6*x**2 wrt d.\nAnswer: -h*o*x**2 + 736*h*o*x + h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/((l*l**(-2\/13))\/l)*l)\/(l*l**15\/l) assuming l is positive.\nAnswer: l**(-167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3926*g**2*k**3 - 54*k**3 - 13 wrt g.\nAnswer: -7852*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 113390144 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: Divide 47809689 by 2.\nAnswer: 47809689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7.72702 decades in millennia?\nAnswer: 0.0772702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6.0761 + -7.3353. Let i = 13.4 + y. Round i to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*z**5 - 415*z**2 - 1 + 1 + 458*z**2 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 + 7*c + 12. Suppose 4*x + 5 = -5*q, 2*x = q - 21 + 8. Let o be a(x). Let k = 2 - 2. Put -2, k, o in increasing order.\nAnswer: -2, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 529.3003 kilometers?\nAnswer: 52930030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 152 and 171.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 0, -5*b - 3*g - 5 = -0. Let s(o) = -102*o**2 + 8*o + 5. Let h(x) = -x**2. Let v(p) = b*s(p) - 2*h(p). Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3 or 42.6?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes before 7:58 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2*i**3 - 6*i**2 + 7*i + 52. Determine h(-5).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-5)*(-770)\/(-1694)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (204\/84*(-10)\/(-85))\/(1\/((-28)\/(-18))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 240892021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3411000012 + 1?\nAnswer: -3411000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 2*u**4\/3 - 22*u**3\/3 + 24*u**2 - 32*u\/3 - 128\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 50999\/4 and 12750 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1920 - 15439\/8. Find the common denominator of -46\/59 and u.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**3*m*m*m\/(m*m*((m\/m**(-2\/19))\/m)\/m))**3\/(m*m*m**(-3\/4)*m*m\/m**(-5))**(-5\/9) assuming m is positive.\nAnswer: m**(4393\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 15136334, 30272658, 45408974, 60545282, 75681582, 90817874, 105954158?\n\"Answer: -4*q**2 + 15136336*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75*x**3 - 324*x**3 + 50*x**2 + 85*x**2 - 101*x**2.\nAnswer: -399*x**3 + 34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*o + 2*o - 24 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74, 287, 642, 1139, 1778, 2559, 3482?\nAnswer: 4547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0.2 (c) -1863\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11\/277 + 5571\/7756. Find the common denominator of w and -97\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2 + (-2*110\/(-4) - 1) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -114342401 (base 5) to base 3.\nAnswer: -1000121111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 4113298.\nAnswer: 1\/4113298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(3\/8)*m**(-5\/6)*m*m*m**(-21\/4)*m**(1\/14))**11 assuming m is positive.\nAnswer: m**(-6721\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*j + 54 = -9*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v**2\/5 + 468*v\/5 + 1944 = 0.\nAnswer: -90, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -145, -205, -265, -325, -385?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47305.\nAnswer: 5, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*h = -2*v + 4*v - 6*v - 3*h - 298, 33 = -4*v + 5*h + 95 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 PM and 9:53 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 11185.632 months to years.\nAnswer: 932.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 2\/5451?\nAnswer: 2\/5451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/(-2) + (-15)\/10. Let z = 0.1 + 0.9. Let m = z - 0.9. What is the closest to -0.1 in m, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (6 - (-2 + (6 - 3))) + 21 + -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the second derivative of y**5\/4 - 6*y**2 + 14*y. Let p(c) be the first derivative of l(c). Let o(g) = 2*g. Calculate o(p(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.5 (b) 101 (c) -3\/271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 + 24*q**2 - 28*q - 48. Is p(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -6 (b) 28 (c) 3 (d) -3631 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 3. Suppose -l = l - h - 11, -2*h = f*l + 1. Solve -3*j - 1 = -4*p, -3*p + 4*p + 2 = l*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3211164491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 + 1)*(-3)\/(-6). Sort -3, -5, o in decreasing order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7229648841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -336*s = 799*s - 237*s + 9878 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -132 in -16, -0.4, 4, -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qhqqqqqqqh. Give prob of picking 1 q and 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 334, 223, -1 in decreasing order.\nAnswer: 334, 223, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 316487 is divided by 4852?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2 (b) -2 (c) 5 (d) 3 (e) 231572\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 p, and 1 g when three letters picked without replacement from {p: 2, g: 2, i: 1, o: 1, h: 1, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11c - 1?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is l in -l**4\/7 + 52448*l**3 - 50283623*l**2\/7 + 1746919864*l\/7 - 1697003376\/7 = 0?\nAnswer: 1, 68, 366999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 106 - a**2 - 34 - 360*a**4 + 362*a**4 + 3*a**2 to y*a**2 + p*a**4 + w + h*a**3 + q*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 166250613, 166250609, 166250601, 166250589?\n\"Answer: -2*a**2 + 2*a + 166250613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 29778 (base 10) in base 2?\nAnswer: 111010001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 146*z + 8 = 144*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.624986 + 1\nAnswer: 1.624986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 817307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of -29*h**5\/20 - 5*h**3\/6 - 13*h**2\/2 + 10*h + 5. What is the second derivative of g(d) wrt d?\nAnswer: -174*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -46*w - 76. Give t(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:26 PM and 4:11 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 60 = -0*j. Let c be 14\/21 + (-5)\/j. What is the closest to c in 2\/3, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -b**3*x + 339*b**2*x + 2*b*x + 51*b + 2*x wrt b.\nAnswer: -6*b*x + 678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 + 3*r - 10. Let p be s(4). Suppose 5*q - 21*w = -p*w + 246, -188 = -4*q - 2*w. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 4, r: 2, l: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1041 - -1749. Suppose -1356 = 4*q + j. Let o = 1007 + q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 20\/24*(-4)\/(-270)*-9*(-7)\/(-42)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -41.71 and 50761198.445.\nAnswer: 50761156.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of 3485 and 6.4201472.\nAnswer: 3491.4201472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(176) + 0)**2*5 - sqrt(176) - (3*sqrt(176) + -2)**2) + 5.\nAnswer: -703 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6.9*-40203.\nAnswer: 277400.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/617730 and 103\/193520?\nAnswer: 202615440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-195)\/312*(-3184)\/5174.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**4 + m**3 - m**2 + m. Let a(q) = 48*q**4 - 56*q**3 + 56*q**2 - 56*q + 8. Let h(b) = 2*a(b) + 112*i(b). Differentiate h(w) wrt w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(99) + (sqrt(99) - sqrt(99)*-1) - sqrt(99) - sqrt(99))\/sqrt(9) + 0 + (sqrt(132) + -1*sqrt(132) + sqrt(132) + sqrt(132))\/sqrt(12).\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**3 - 7*x**2 + 5*x + 8. Let i be q(6). Solve -u = -w - 2, i*u - 2 = -w + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4937817 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*3*((2 + (sqrt(1053)*1 - sqrt(1053)))*5 + -4)*-1)**2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**1)**23\/((t\/t**(-1\/12))\/t*t**(4\/5)) assuming t is positive.\nAnswer: t**(1327\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 147147 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -4*b**3 + 9*b**2 - 4*b - 9. Let t be s(6). Let l = -519 - t. What is the least common multiple of 6 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -382 + 6492\/17. Let j(v) = 3*v. Let d be j(3). Let b be ((-8)\/28)\/(d\/7). What is the biggest value in b, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l*l**(-1\/2)))\/l)**21*(l**0)**(-3\/13)*((l**0*l)\/l)**40*(l\/(l*l**(2\/21)))\/l*l**(1\/3) assuming l is positive.\nAnswer: l**(-473\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 224 and 1150080?\nAnswer: 8050560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1288390 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: How many millimeters are there in 597.3251 kilometers?\nAnswer: 597325100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -2*r**2 - 63*r - 306. Give n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (340\/(-45) - -7)\/((-50)\/60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 5*s - 32 = 0, 138*z = 135*z + s + 5. Solve 6 = -z*c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vzvvvvvzzzfpv. Give prob of picking 1 p and 3 v.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 588 + -609 - (-3 - -31).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 1952*d - 78 = 1937*d, 0 = w + 4*d - 7 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add -268 and 967266.8.\nAnswer: 966998.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -10+-62376235707\nAnswer: -62376235717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -20. Let k be (z\/12)\/(-3 - -5). Let i = -35.1 + 35. What is the nearest to i in -0.6, k, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3865368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 108 and 132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 16740 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -11, -37, -63, -89, -115?\n\"Answer: -26*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -5*b - 4. Suppose 3*p - 2*p - b*x = 263, 534 = 2*p - 4*x. Let y = -160 + p. List the prime factors of y.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2\/15 - 116544*t\/5 - 5093438976\/5.\nAnswer: -2*(t + 87408)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/3906 and 9\/48139.\nAnswer: 26861562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -974.8 (c) -1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 13\/5, 16, 2, -2, -0.2, 1\/2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 193011 or 193010?\nAnswer: 193010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1\/4))**(1\/18)*(g**(-1\/4)*g)\/g**(-8) assuming g is positive.\nAnswer: g**(629\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 73923 * 11.\nAnswer: 813153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15\/17759 + 2322679\/4439750. Let g = b + -3\/125. Let v = 2.8 - 3. What is the second biggest value in v, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.0007 and -2.3?\nAnswer: 2.2993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwixxaiwwx. Give prob of sequence ax.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2. Let a(r) = 7*r**2 - 8*r + 5. Let m(w) = -a(w) - 6*u(w). What is the remainder when 30 is divided by m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1*9\/(-18)*(-14)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -14*y - 5. Let g be x(-4). Let f = 54 - g. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -290353 or -290360?\nAnswer: -290360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 u, 1 l, and 1 t when four letters picked without replacement from {r: 2, k: 2, u: 1, l: 2, v: 1, t: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5988?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1222221111 (base 3) to base 5\nAnswer: -2224300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 1369*i - 1364*i - 60 = 0, 245 = 51*v - i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 7*a**2 - 13*a + a**2 - 9*a**2 in the form f*a + d + v*a**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of -h**6\/120 - h**5\/10 - h**4\/24 - h**3\/3 - 21*h**2. Let o be j(-6). Solve -3*g - 2 = -z - o, 0 = -5*g + z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-7 - -647)*(1012\/16)\/11. Calculate the common denominator of (-2)\/(-23) + 5384\/i and -79\/622.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(4\/13)*(-3)\/(-6)*-2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -2\/3 (b) -6 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27 - 16 - 51*j + 3.\nAnswer: -51*j + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 2*b + 1. Let z(x) = x**2 - 1. Let f(m) = n(m) + z(m). Let k(y) = 4*y. Let p(g) = -2*f(g) + k(g). Let t(h) = -2*h**2 - 10*h. Calculate t(p(a)).\nAnswer: -8*a**4 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/6*2637\/36039*(-2)\/4.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*y - 18 = 234. What is the least common multiple of y and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25052316379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -226482 divided by -2?\nAnswer: 113241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10254*a**2 - 10260*a**2 - 10258*a**2 + 30770*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1942870417 - 87.122.\nAnswer: 1942870329.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 2:06 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8806 + -132082\/15. Factor -s*m + 0 + 2\/15*m**2.\nAnswer: 2*m*(m - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/((-49)\/196 - (-55)\/12))\/3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4\/5, 0.3, -1.1, 2\/5 in descending order.\nAnswer: 5, 4\/5, 2\/5, 0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29 + -40. Let m = w + 120. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(104)\/(sqrt(16)\/sqrt(2)) + -4 + 4.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 6.2, -5, 4, -1\/4, -3, 256 in descending order.\nAnswer: 256, 6.2, 4, 3, -1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 74551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 480000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-1)\/((s\/(s\/(((s\/s**0)\/s)\/s*s)))\/s)*((s\/(s**(2\/9)\/s))\/s)\/s**(1\/3) assuming s is positive.\nAnswer: s**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -155561 (base 8) in base 4?\nAnswer: -31231301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, h: 1, y: 9, z: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-8)\/((s\/(s*s**(2\/13)))\/s))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 944395033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -8553947 divided by 4?\nAnswer: -8553947\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 3 = 2*m. What is the remainder when -2 - 12\/(-3)*8 is divided by (m + -19)*(-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 3 + h**2 - 2*h**2 - 4*h**2 + 0*h**2 + (-9 + 9 + 4*h)*(-6*h + h + 3*h) as x + b*h**2 + f*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t - 26. Let u be i(13). Suppose 4*s - 4*z - 8 = u, -3*s + 3 + 2 = -4*z. Calculate the highest common factor of s and 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 900 - 910.027. Let p = 0.073 - v. What is p rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*o + 45*o = -200. Let x be (-15502)\/(-184) + (-6)\/o. Put 0, 2, x in increasing order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = 3*x - i + 47, 39 = -x + 5*i. Let k(h) = h**2 + 10*h - 13. What is the units digit of k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 20*a**3 + a**2 - 35*a - 13. Is k(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-11)*u*u\/(u**(-3)\/u))\/(u*u**(-2))**(6\/5) assuming u is positive.\nAnswer: u**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -1 (b) 9 (c) -2 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 - 0.2. Let z = 807\/7 + -115. Which is greater: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 113\/321 - 2\/107. Let n(g) be the second derivative of 4\/9*g**4 - 3*g + 0 + w*g**2 + 7\/60*g**5 + 11\/18*g**3. Factor n(l).\nAnswer: (l + 1)**2*(7*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 141298 and 178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o - 25. Let n = 543 + -524. Let j be ((-146)\/(-73))\/(21\/n - 1). Calculate g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 + l**2 + 2*l - 17. Let i be q(0). Let u = 25 + i. Calculate the lowest common multiple of 22 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -736 * -0.1.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*g + 7*g + 385 = 0. Suppose 2*s + 3 = g. Let v = -73 - -118. Calculate the remainder when v is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -30*j + 14. Let b(w) = 21*w - 7. What is 5*b(z) + 3*x(z)?\nAnswer: 15*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is c in -7*c**4\/3 - 25*c**3\/3 + 4*c**2 = 0?\nAnswer: -4, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the third derivative of -f**6\/40 + f**5\/20 - f**4\/8 - 3*f**3\/2 + 7*f**2. Let d be s(4). Is d\/10*-158 - 2*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -162*d - 69. Let v be i(5). Let t = -537 - v. Does 39 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k - 8 + 16. Suppose 22 + 10 = 2*n - 4*s, -2*n + 5*s = -35. Calculate the least common multiple of n and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -44, -97, -186, -311?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2306587\/6181 + 225\/883. Let k(q) = 75*q + 1. Let t be k(-5). Let z = t + a. Put 1\/4, -1, z in ascending order.\nAnswer: -1, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1106421842.\nAnswer: 2, 241, 2295481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is u in u**2 + 19717*u + 3109722 = 0?\nAnswer: -19558, -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 + 5*u**2 + 3*u - 1. Let r be p(-4). Let i be 2 - ((-52)\/60 + r). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 3661.19 millimeters?\nAnswer: 0.00366119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1066478 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y**3 + 4*y**2 - y - 3. Determine v(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (-28 - -1) - (-73 + 34 - (-32 + 1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1655, -4.\nAnswer: -4, -1, 1655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -195.5471 to one decimal place.\nAnswer: -195.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -708 + 1352. Suppose w + 4*w - i = 3*s, -5*s + 112 = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -181*b - 809 - 3354 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 178.0001555 - 178. Round g to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6456594?\nAnswer: 2, 3, 89, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -6, -1, -49, -13 in ascending order.\nAnswer: -49, -13, -6, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 2888177 and 4.6351176.\nAnswer: 2888181.6351176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 45 = 4*v. Suppose f - v*f = 208. Let g = 39 - 38.9. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, -1, 45, 1.2, -0.2 in descending order.\nAnswer: 45, 1.2, 1\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 202033301211 - -3?\nAnswer: 202033301220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -163*y + 1631. What is w(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are -8542 and -8542 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 321231450 and -1528.8.\nAnswer: 321229921.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4765*p**4 + 4*p**2 + 579605*p wrt p.\nAnswer: -57180*p**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 446\/(-1115)*(6\/(-45))\/(12\/(-30))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 410054044267 - 410054045643.999997787. Let q = k - -1377. Round q to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 83, 82, 81, 80, 79, 78?\n\"Answer: -m + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 + 155*j - 309. Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3696 and 280?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h - 2. Determine z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 156 + -164. Let s be (z\/24)\/(((-2)\/(-30))\/(-1)). Solve -3*a - 2*w - 13 = -4*a, 5*a = -2*w + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 443*b**2 + 444*b**2 - 882*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.658 + -0.158. What is the second smallest value in 0.4, r, -11\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + -4 + -1 + 0 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 3*c = 0, 0 = -10819*u + 10825*u - 3*c - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49469 is divided by 132.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 + -11. Let s = 208 - 192. Let i = s - j. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 11:25 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes after 2:10 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12*((-5)\/2 + 3). Solve 0*w = -l*w - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 361, 1437, 3229, 5737?\n\"Answer: 358*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 845998704 not equal to 845998704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -3*u**2 + 0 - 1 - 3*u - 3 + 2*u**2. Determine j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 - 2*r**2 + 24.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 2*r**2 - 16*r + 7. Let o be d(8). Suppose o*t - 35 = -0. Suppose 0*n + 96 = 2*n + 3*c, 0 = -t*n + 2*c + 240. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (-427)\/(-147) - -19*22\/1155.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 20135238 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*j - 2. Let b = 3 - j. Round b to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 + -9. Let b be (-2)\/8 - i\/8. Let a be 1*b - (2 + -5). Solve 5*o = u, -5*u + a*u = -5*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a - 2*a - 2 - 2 + 3*a. Let j be (10\/3 - -1) + 28\/(-84). What is o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*n = 12 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b + 9. Let a(l) = -2*l + 18. Let s(t) = -3*a(t) + 7*n(t). Let i be s(6). Let g(r) = 2*r**2 + 3*r + 4. List the prime factors of g(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 36945679*d**2*x**3 + d**2*x**2 - 20*d**2*x - 777*d**2 - 30*d wrt x?\nAnswer: 221674074*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3323 - 15?\nAnswer: 3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 10.8 plus -4.34?\nAnswer: 6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -133*q**4 + 36216*q**3 + 3*q**2 + 199066469?\nAnswer: -3192*q + 217296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24257 is divided by 129.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 9\/4, 3\/7, -1\/27, 2\/7?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/600 and -87\/8800.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)*1 - (sqrt(17) + -1 + sqrt(17) + 2 - sqrt(17)).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1319\/123 + 266765\/24108. Let t = -458818\/107253 + 3\/23834. Find the common denominator of t and g.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/3282368 and -79\/820592.\nAnswer: 3282368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8 and 28840.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1100)*-2 + -2 + sqrt(1100) - (2*sqrt(1100) + -5))**2.\nAnswer: -180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8085 = 29*n - 64705. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2)\/h*h)**(-6))**11 assuming h is positive.\nAnswer: h**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -2*l**2. Let k(x) = -4*x**2 - 1. Calculate u(k(n)).\nAnswer: -32*n**4 - 16*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 + 3007.\nAnswer: 3006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2332, -2345, -2364, -2389, -2420, -2457, -2500?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 38710 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/(-2) + 605\/11. Find the third derivative of -q*b**6 - 18*b**2 + 26*b**2 + 7*b**2 wrt b.\nAnswer: -6000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 16 + -10. Let t = -5.96 + g. Let f = -0.26 - t. Which is the closest to -2? (a) -1 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 - (-2 + (-2179994)\/1). What is m rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - v - 7 = -5*p, 4*p - v = 16. Solve 3*x - 7 = -h + 10, p*x = -2*h + 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 33 = 9*r, 99*r + 24*z - 21*z - 15 = 110*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 + 6*n**2 - 7*n + 6. Let o be d(-7). What is the second derivative of 5*w - 5*w**2 - o*w + 0*w**2 wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 171 (base 10) in base 3?\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 242373 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*h**5 + 12*h**3 + 66*h**2?\nAnswer: 300*h**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1116\/(-126)*91\/26.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 4127713 = 4128008 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 9, 5\/2, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 130 divide 9717500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 63 - (-54 + (-23 - -62))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 126941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*q**3 - 2*q + 2*q**4 - q**4 - 4*q**3 to the form f*q**3 + u*q**2 + c*q + r*q**4 + w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -3*g**2 + 4*g**2 - 8 + 3 + g - 7. Let k be y(9). Let x = -43 + k. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-58 - -120) + -59 + (-3 - (3 - (3 + -46)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17976782 to the nearest integer?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4873.758kg in tonnes?\nAnswer: 4.873758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37411053 to the nearest integer?\nAnswer: 6116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 106 - 106. Suppose 4*z = 3*g - 7*g + 24, -3*g - 2*z + 17 = s. Solve 0 + 5 = -g*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -37\/13 - -361\/104. Let p = -73 + 71. Find the common denominator of z and (p\/7)\/((-6894)\/(-2226) + -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -16416 and -3.\nAnswer: 49248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/856 and -19\/10?\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(208) - (-1 + sqrt(208)) - sqrt(208) - sqrt(208)) + 2 - (sqrt(208) + -3)*1) + 3)**2.\nAnswer: -216*sqrt(13) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 2*n**3 + 58*n**2 + 60*n + 108. Determine x(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -81 - -95. Suppose -3*s + 329 = -139. Let x = s - 101. What is the remainder when x is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in 289*o**3\/2 + 41378085*o**2\/2 + 740516507964*o - 2221735729176 = 0?\nAnswer: -1217028\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4*(11799\/76)\/(-27). Let t(m) = 8*m + 154. Calculate t(d).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 648 divide 451854936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -238 + 39 + 14*q - 16*q - 20*q + q**2. List the prime factors of n(-16).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from {v: 8, n: 7, b: 3, x: 2}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 3*w - 4*w - 24*w**2 - w**3 - 4 + 28*w**2. Let x(l) = 3*l**3 - 11*l**2 + 3*l + 11. Let h be -1*(-11)\/3*-3. What is h*u(d) - 4*x(d)?\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**2 - i - 6. Let t be o(4). Let w(f) be the third derivative of -f**5\/60 + f**4\/4 + f**3 + 2*f**2. Determine w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34345 divided by 1.\nAnswer: -34345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 151296 and 1055526.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 275 + -108. Let y = -152 + t. Solve -3*j + 6 = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 622423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**3\/3 - 442*q**2 - 75210*q - 641574 = 0 for q.\nAnswer: -327, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 48751*i - 634335.\nAnswer: 48751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 14 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 4 - (0 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -355774, -355349, -354642, -353653, -352382?\n\"Answer: 141*r**2 + 2*r - 355917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 10:35 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -148764 divided by -3.\nAnswer: 49588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2024383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9 + 44. Suppose -1 = -2*j + p. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from zzhenezyycyhzn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 - 15*m + 2. Let j be p(-13). Let d be (64\/j)\/8 + (-132)\/7. Are -18 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from pqpbqqhqphqhphph.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64213379 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 2*q**4 + 8*q**3 + 109*q**2 - 2. Let o(a) = 17*a**3 + 217*a**2 - 5. Let h(u) = 5*b(u) - 2*o(u). Find the third derivative of h(d) wrt d.\nAnswer: 240*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2910000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -60 (base 9) to base 11.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26\/(-24) + -2 + (3 - 0).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 7, 1, -38, 2, -5 in descending order.\nAnswer: 7, 2, 1, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 10*g - 4*w + 608 = 0, 0 = 4*g - 2*w - 840. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -169, -350, -543, -748?\n\"Answer: -6*l**2 - 163*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 57\/137, 3?\nAnswer: 57\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11.8 - 1.8. Let q = n + 4. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the second derivative of c**7\/252 + c**6\/36 + 3*c**5\/40 + 7*c**4\/72 + c**3\/18 - 31*c. What is n in p(n) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -53\/75 + 1\/25. What is the second biggest value in b, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 234 (base 16) in base 11?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -37412, -37427, -37470, -37541?\n\"Answer: -14*z**2 + 27*z - 37425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 53213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 5 - 2*q**3 + 157*q**2 - 24*q**2 + 5*q - 133*q**2. Give n(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 5*j + 10 = 0, -t - 2*j + 4 = -0*j. Suppose t*c + 4*c = 72. Suppose 0*u + 36 = 2*u. Calculate the lowest common multiple of c and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -49248 - 0.22.\nAnswer: -49248.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (33 - -1 - 2) + -4 - (-176 + 176)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of -761*y**4\/2 - 3733*y**3\/3 + 416*y**2 - 2. What is the first derivative of r(f) wrt f?\nAnswer: -9132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/3, -0.09, -284571?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-12)\/(-10)*15\/6. Let b be 7\/3 + c\/(-9). Suppose u = -0*t - t + 52, -b*u = -4*t - 110. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9 + -4. Suppose 13*t + 12 = -14. Let z be (-39)\/36 + (-1)\/(-3). What is the second biggest value in z, u, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*d**3*g - 2*d**3*h**2 + 1741*d**3*h + d**2*h**2 - 13*d*g*h + 16*g*h**2 - 2*g + 2*h**2 wrt d?\nAnswer: 36*g - 12*h**2 + 10446*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.01, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 115 (base 6) in base 12?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 796 is divided by 135.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 2 g, and 1 b when four letters picked without replacement from bgbzzg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 167*g + 450 + 76 = -476 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18353*n - 128 + 2 - 38 - 23.\nAnswer: 18353*n - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.3 and 30650.77?\nAnswer: 30651.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*h + 132 = -7*h - 129 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 11979 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: Calculate the remainder when 61902 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*u - 343 = 2*i - 105, -1760*u + 1759*u + 9 = 3*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (9 - 1 - 4) + -1. What is the tens digit of (b\/6 - 1)*-1294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-2))\/(3 - 6)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -9 (b) -4\/7 (c) -0.3 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*i + 35 = 119*i - 69*i + 5*c, 26*c = -4*i - 88 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*u + 6 - 225*u + 489*u - 6 - 193*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 96.0718 rounded to 0 dps?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 780, 98, -1, 2, 4 in decreasing order.\nAnswer: 780, 98, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 730349 + -730382.0001. Let f = 33.0604 - 0.0604. Let o = f + d. Round o to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 175 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -0*h. Suppose -2*f - 6 = 4*s, 7 = s - 3*f - 2. Solve m - 4*u = s, 4*m - 4*u = -h*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -25054397*x**2 + 34121245*x - 3 wrt x?\nAnswer: -50108794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sgggswgs. What is prob of sequence gssw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(162) - (-2 + sqrt(162) - sqrt(162))*-4) + -1)**2.\nAnswer: -162*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) 77 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ebeb when four letters picked without replacement from rrbbrssbscssssrebess?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 6*p - 17288. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 124 a factor of 66960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2\/4 - 313981*s\/4 + 78495.\nAnswer: (s - 313980)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/(-5))\/(2\/10). Let f = 0 + -3. Let t = -28.5 - -28.2. What is the nearest to c in t, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -47550*o**3*q**2 - 10*o**3 + 88*o*q**2 + 2005*o*q wrt o?\nAnswer: -285300*o*q**2 - 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be -7 + (9 - 5) + 2. Is 502\/(-4)*(-1 + b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 1401b1 (base 15) to base 3.\nAnswer: 1210212222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/8 - 327*a**2\/8 + 1931*a\/8 - 1605\/8.\nAnswer: (a - 321)*(a - 5)*(a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147 = g + 3*g + 3*o, -2*g + 67 = -5*o. Suppose -16 = -0*t - 4*t, t = 5*h - g. Which is the nearest to -0.1? (a) -4 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in 2*j**5\/9 - 164*j**4\/9 + 3368*j**3\/9 - 12836*j**2\/9 - 3370*j\/9 + 13000\/9 = 0?\nAnswer: -1, 1, 5, 25, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*r - r. Is r less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2990952859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*z + 6*z + 12156. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 + 3*z + 2. Let t(u) = -6*u**2 - 18*u - 12. Suppose i + 138 = 4*d, i = -i - 4. Let y(w) = d*n(w) + 6*t(w). Factor y(f).\nAnswer: -2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**5 + 0*k**4 - 20 + 2*k**4 + 19 + (-16*k**4 - 36*k**4 + 6*k**4)*(-2*k + 2*k + 3*k).\nAnswer: -140*k**5 + 2*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*y + 9*y + 14*y)*(5*y**3 + y**3 - 3*y**3) - 3*y**4 + 7 - 7.\nAnswer: 33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -2112, 0, 2, -3.048 in decreasing order.\nAnswer: 2, 0, -3.048, -2112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(2*sqrt(78) + sqrt(78)))\/(sqrt(216)*2).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 831456.2 years?\nAnswer: 83145.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 11012 + 0.007439.\nAnswer: 11012.007439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -32*l**3*y**2 + 4*l**3 - 7474*l**2*y**2 + 2*l**2*y + 50*l*y**2 - 3*y + 18717 wrt y?\nAnswer: -64*l**3 - 14948*l**2 + 100*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 10470450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 22*f**2 + 72*f + 21. Is d(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t**3 + 3*t**2 - t. Let l be y(1). Suppose -2*a + 5*k + 12 + 4 = l, 2*a = k + 32. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l - 7*l**3 + 0*l**3 - 10*l**2 + 6*l**3 - 7*l. Calculate s(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 406001 greater than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.012 - 0.078. Let l = -9.934 + z. Let t = l - -10.3. What is the nearest to -1\/3 in 0.5, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -12*d + 792. Suppose -p + d - 68 = 0. Solve 17 = p*g - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes before 4:03 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 25*p**3 + p**2 - 1. Let t be n(1). What is the third derivative of -25*r + t*r - 4*r**2 - 4*r**3 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -146, -135, -110, -65, 6, 109, 250, 435?\n\"Answer: p**3 + p**2 + p - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*z + 18*z - 9*z + 72974*z**2 - 146022*z**2 + 72940*z**2.\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 124 + -103. What is the third derivative of -31*g**3 + i*g**2 - 39*g**3 + 79*g**3 wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*s**4 - 2*s**3 - 9*s - 13*s**4 + 4*s - 2 to the form i*s + t*s**4 + x*s**3 + c*s**2 + v and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1216 = -45*s - 212 - 147 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 42*h**3 + 3*h**2 - 2*h. Calculate the remainder when t(1) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 74599125*l**4 + 99895726 wrt l?\nAnswer: 298396500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 4*z + 2*z. Solve 0 = -2*j - z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - -3. Suppose z*x = 2*t - 3*t + 13, -15 = -x + 5*t. Suppose 3*w + 3 = 0, x*o - 42 = w + w. Solve -i = -h, o*h - 3*h + i = 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0.2, 2791.\nAnswer: -1, 0.2, 2791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -m + 30916, -5*m + 505*l + 154655 = 500*l. What are the prime factors of m?\nAnswer: 2, 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (9 + (-14 - (4 + -9)) + 10 - 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*m**4 - 2*m**5 + 3*m**4 + (2 - 2 - m)*(-1 + 1 - 2*m**4) - 2*m**5 + 4*m**5 + 2*m**5.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -157*a**3*m**2 + 99767*a**3*m - 53*a**2*m**2 wrt m.\nAnswer: -314*a**3 - 106*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m**2 + 32*m - 29. Let r be q(15). Let o be 46\/42 - (-1 - -2). Which is bigger: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6\/15 - (-12)\/(-5). Is 125\/5 + (-2)\/k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10919783 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 279*l + 79. Let o be x(0). Solve 0 = -49*v + o*v - 180 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 420 - 1959 = 169*z + 473 + 1537 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -22.15 - -11. Round i to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11354208268 - 96.\nAnswer: -11354208364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1286.8 + 1246. Let y = -40.29 - 0.71. Let x = y - r. Sort -0.01, -3, x in ascending order.\nAnswer: -3, x, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -618.72 * 76.5\nAnswer: -47332.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 - -39. Suppose 5*q - h = y, -4*y - 4*q = -0*q - 40. Solve -2*o = -y*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -145\/7776 and 53\/373248.\nAnswer: 373248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0005657907 rounded to five dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/90852 and -97\/1148.\nAnswer: 26074524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 PM and 11:45 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -172 times -0.3?\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -598*j**2*s**3 - j**2*s**2 + 2367*j**2*s wrt s?\nAnswer: -3588*j**2*s - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03*-542.\nAnswer: -16.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, b: 1, f: 2, p: 3, c: 1, r: 1}. Give prob of picking 1 c and 2 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 35\/25*(-35)\/(-7). Let o(k) = k**2 - 4*k - 18. Let y be o(x). Solve -4*i + y = -a, -2*a + a - 3 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 5*c - 11. Suppose -9 + 161 = c*h. Calculate the remainder when h is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence exe when three letters picked without replacement from eeeeeeeeeeexx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + q + 2 = -13, 0 = 4*q + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 40301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47686?\nAnswer: 2, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -343 + 349 - 84*z**3 + 40*z**3 + (-z + 0 + 0)*(2*z + z**2 - 2*z) in the form a*z**2 + g + n*z**3 + k*z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)\/(sqrt(12)*3*5 - sqrt(12)))**2.\nAnswer: 17\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-198 + 97 + 103 - 3*i)*(-2*i + 5*i + 0*i).\nAnswer: -9*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -313 - 26432?\nAnswer: -26745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of 7*q**3\/3 + 2*q**2 + 6*q. What are the prime factors of u(5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -2*v + 2. Let r(l) be the third derivative of l**5\/60 - l**4\/6 - l**3\/2 - 2*l**2. Let o be r(5). Sort o, v, 3 in ascending order.\nAnswer: v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/4 + 21\/4. Suppose s + f + 0 = 1, m*f + 55 = 5*s. Suppose s - 15 = -h. Calculate the remainder when 15 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*j - 3*c + 1, c + 2 = -j. Let x = -106 + 114. Calculate the smallest common multiple of x and j*1*10\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -89 - -66 - -3 - (-46 + 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pr when two letters picked without replacement from {f: 4, r: 2, c: 1, p: 1, z: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2315376 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3727648\/219 - 17021. Find the common denominator of n and 37\/18.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4856 divided by 2.\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9052 and 438.\nAnswer: 27156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 - -0.4. Let l = c - 1.4. Let f = 2133.2 - 2133. What is the third smallest value in -3\/13, l, -5, f?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 464, -4 in ascending order.\nAnswer: -4, -3, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 10120122 (base 3) in base 11?\nAnswer: 1a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 118.0544 - 118. Let f = -0.05399 + s. Round f to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3\/6 - 139*j**2\/2 - 17721*j\/2 - 715473\/2.\nAnswer: -(j + 99)**2*(j + 219)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6963601?\nAnswer: 311, 22391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 64 - 450\/7. Let n = 124 - 120. Let p = n - -6. Sort r, 0.3, p.\nAnswer: r, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - 24*j + 129. Let r be o(7). Suppose -10*f + 5*f = r*f. Which is smaller: 8\/141 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 55 + -7. Let k be (-256)\/(-24)*3*1\/2. What is the greatest common factor of t and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000541809811 rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2 + -1 + sqrt(891) - sqrt(891))**2 + -2*-1*sqrt(891) + (sqrt(891) - ((sqrt(891) - (sqrt(891) - (-1 + -2*sqrt(891)))) + sqrt(891))) + -4.\nAnswer: 3 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 150753.\nAnswer: 3, 31, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 7 = -13. Suppose x = -3*h + 4*h - 26, 3*h - 76 = k*x. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r - 3. Suppose -3*z - 2*z = 40. Let y be (-35 - z)\/(2\/(-6)). Let u = y - 86. What is v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 13*r - 69. Suppose -m = 4*u - 15, 2*u + 11*m - 15*m = 30. Give x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*l - 7 = -82*l. What is the third derivative of 2*z**2 + z**6 - z**3 + 0 - l - 2*z**6 - 3*z**3 wrt z?\nAnswer: -120*z**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 2*r = 2744, -2*u - 4*r = -1226 - 152. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1713 - -1606. What is the fourth smallest value in -0.1, 0, -2, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/(-14) - (-2)\/7)*8. Let z = k + 8. Calculate the remainder when 29 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + -7 + 1 + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-65)\/6*53*(-71)\/(-48919)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q + 14. Calculate v(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -285 in 4\/3, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -23\/4, 2, -2\/17, -11\/9, 412 in decreasing order.\nAnswer: 412, 2, -2\/17, -11\/9, -23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5603\/643560 - 2\/5363. Let q = g + -5\/24. Which is the third smallest value? (a) 0.3 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 6*r**2 + 3*r + 6. Is i(4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) -5\/3 (b) -2 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22 + -42. Let b = -36 - j. Let r be b\/40*15\/(-6). Which is greater: 13 or r?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 211826 is divided by 52955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -192*-3\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 12*j**2 + 73515 - 3*j - 36754 - 36763 + 6*j**2. What is s(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fl when two letters picked without replacement from ffzttlfifzlfttft?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = 4*q - 16, 5*q - 3*k = -4040 + 4052 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 4, -30, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -5*i + 21 - 17 - i**2 + i + 14. What is a(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 0.075489.\nAnswer: 0.301956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1664460 and 5460.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 62481 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 808 and 1152557.\nAnswer: 931266056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of 0*q**3 - 28*q + 0 - 3*q**2 + 1\/4*q**5 + 0*q**4. Let m(p) = -2*p**2. Calculate m(r(y)).\nAnswer: -450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 66*i - 47*i + 33*i in the form b + r*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 17*c. Let k(n) = -86*n**2 - 2. Determine k(y(i)).\nAnswer: -24854*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 - 5*q**2 + 39*q + 180. Give o(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 164\/1148 - -2*388\/56.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -51705154 + 51705154 - 1706*s**2 - 2135*s**3 wrt s.\nAnswer: -12810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -3*a, i + 6 = 6*a - 5*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2904 is divided by 379?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 51 - 50.9. Sort -7, 4, c in increasing order.\nAnswer: -7, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 5 = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 4*c**3 - 30424*c**2 - 459060*c + 13717800 = 0.\nAnswer: -30, 15, 7621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**3 - 20*g**2 - 9*g - 43. Let p be w(19). Let y be p\/(-200) + 6\/(-16). Which is the biggest value? (a) y (b) 22 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*d**3 + 0*d**3 - 25*d**2 + 26*d**2 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 110047.9 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 77904 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 112 = -3*w, 0*w + 3*w = 3*u - 63. Find the second derivative of -57 - 34*o + 57 + u*o**2 wrt o.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6 times 97.4?\nAnswer: 58.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 7\/25 of a kilogram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 69 = -5*v - 8*l, -4074682*v - 45 = -4074678*v + 3*l for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3 - 1066*j**2 + 20939*j - 19874.\nAnswer: (j - 1046)*(j - 19)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 239\/19, -4, -1, 0, -3.\nAnswer: -4, -3, -1, 0, 239\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 258 - 200. What is the remainder when c is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 times -0.02?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*n**3 - n - 13*n**2 + 13*n**3 + n.\nAnswer: 29*n**3 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -43 + 211. Suppose 0 = q - 7*q + t. Solve 2*p = 5*n - q, -5*p + 2*n = 4*n + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**4\/15 + 1801376*l**3\/15 - 36054980976*l**2 + 10824642717539840*l\/3 + 21649718097733600\/3 = 0. Calculate l.\nAnswer: -2, 300230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 18 + 3 + -35 + (3 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 93*t**3 - 3*t**2 + 3*t + 3. Let m be p(-2). Let l = m - -293. Is (-6 - -5)*(-1 + 1*l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-8 - -5)\/((-3)\/2))\/1. Suppose 75 = 5*g - o*v, 7*v + 10 = 5*v. Suppose -g*s + 23 = -16. Solve -5*t = s + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from axpxwxxpaaxpxxxxxxpp. Give prob of picking 1 w and 1 a.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.09*0.33.\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(3 + -1 + -4). Suppose -9 = -3*s + 6. Let a(n) = n**2 - 6*n + 7. Let o be a(s). Solve o = w*h - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (34*(-3)\/6)\/(-1). Solve -4*o - 2*t + 22 = 0, -s = o + 2*t - 6*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 170215794011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 130 divided by 10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/(-9) - (-39)\/(-9). Let r(x) = 3*x - 2. Calculate r(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n - 194 = 3*a - 6*n, 2*n + 202 = -3*a. Is 315276\/21 - (-10)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-17)\/((-51)\/9))\/(4\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes after 7:04 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -554\/13 (b) -7 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 4 = 12*f - 9*f, 2*z - 10 = -2*f. Suppose q + 6 = 2*q. Let b be ((-55)\/(-15))\/(1\/q). What is the greatest common factor of z and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of 0*q**3 + 5\/24*q**4 + 0*q + 0*q**5 + 0*q**7 + 0 + 1\/112*q**8 + 0*q**6 - 5*q**2. Find the second derivative of y(v) wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 276921*g - 6*g**2 - 4 - 276921*g.\nAnswer: -6*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 527*j**2 + 504*j**2 - 2 - 145*j**2 - 152*j**2 in the form w + t*j**2 + y*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.381 - -0.501. Sort l, 4, -0.07 in decreasing order.\nAnswer: 4, l, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16329561.\nAnswer: 3, 5443187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1058 + 73*w - 16*w - w**2 + 39*w - 1058.\nAnswer: -w**2 + 96*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let f = 25 - 13. Let a = 14 - f. Suppose -3*t - 2*t = -3*q + 204005, -2*q = -a*t - 136002. Round q to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 - -157675436?\nAnswer: 157675442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 - 35*b**2 + 36*b + 76. Let p be f(-36). Suppose -p*c = -73*c - 2046. List the prime factors of c.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6258433?\nAnswer: 127, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**2\/3 - 52316*g\/3 - 836288.\nAnswer: -(g + 48)*(g + 52268)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxw when three letters picked without replacement from xaxxgxulxwx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 141 and 6674.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*v + 19*v = -18*v + 33685. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/4*0\/(4\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/91728 and 75\/112?\nAnswer: 91728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (0 + 9)*144\/(-81)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 810 = 82*m - 41 - 625 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10*(-15)\/50*4\/(-3). Solve -x*d + 0*d = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -398.26 rounded to 0 dps?\nAnswer: -398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 1)*(-106*m**5 - 127*m**5 - 207*m**5).\nAnswer: -880*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(20)\/sqrt(4)*5 - (sqrt(5) + (2 + sqrt(5))*-2)**2.\nAnswer: -21 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -2858.7 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*y - 0. What are the prime factors of 100\/6 - y\/12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 2*m**2. Let q(r) = 58512*r**2. Give k(q(z)).\nAnswer: 6847308288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/3 + 61\/(6405\/(-450))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-23 - -1) + 52 - 60?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 25*v**2 + 86*v + 70. What is the hundreds digit of b(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -30 + 50. What is the smallest common multiple of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*-12813.63\nAnswer: -25627.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 5*p**2 + p + 2. Let k(r) = -6*r**2 - 2*r - 2. Determine 3*b(v) + 2*k(v).\nAnswer: 3*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(432)*-1)\/sqrt(9) + -2.\nAnswer: -2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i + 3*i + 2*i. Solve i + 6 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of d**4 - 713*d**2 + 713*d**2 - 2*d wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4038 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**3 - 114*l**2 + 224*l - 19. Give v(112).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 10*c + 1. Let l(m) = 52*m + 6. Let t(s) = -2*l(s) + 11*v(s). Give t(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -84 + 84. Let q = -10.9 - -11. What is the closest to r in 2\/21, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 254515 - -6?\nAnswer: 254523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -28, -4\/9, 7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in -0.0604, -4, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 4*i - 8. Let s be a(5). Suppose s*t - 14 = 58. Suppose -384 = -0*n - t*n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3696272954?\nAnswer: 2, 11, 168012407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6.4 - -6. Suppose 237 = 10*s - 3. Let u be 744\/(-152) - (3 + s\/(-3)). Which is the second smallest value? (a) 5 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 37*z**2 + 39. Let h(o) = -o**2. Give f(h(r)).\nAnswer: 37*r**4 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 858927.\nAnswer: -85892.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put together -7063651937 and -286.\nAnswer: -7063652223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.06 + -0.06. Let m = 11 + -5. Let l = m - 6.2. Which is the third biggest value? (a) l (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202196148 a multiple of 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6666 is divided by 605.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -38435, -153731, -345893, -614921, -960815, -1383575?\n\"Answer: -38433*a**2 + 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24570.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 0 = -2*o - 40, -3*s - 7 = 5*o. Solve 4*r - s = -m + 2*r, r = -m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.07972915 times -0.1\nAnswer: -0.007972915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.6, -0.049, 3, -148?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d = 16*d - 16*d - 132. Solve s - 3*y - 2 = -18, -s + d = 4*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from gyygggggjggggg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -3 + g + 0 - 12 + 11. Determine b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -319 (b) -4 (c) 2 (d) -0.2 (e) -86.9 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes after 10:55 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.35 (b) 2\/47 (c) -14 (d) -2\/5 (e) 118 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (156\/126)\/(-13) - (-378088)\/42 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 39 + -41 - 6\/((-1)\/1). What is the nearest to 1 in 2, 0.6, f?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 53 + -8. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -2. Let t = -0.6 - -0.5. What is the closest to d in -0.4, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 15*p**4 - 1137100*p**3 - 42472640*p**2 = 0.\nAnswer: -112\/3, 0, 75844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/(24\/(-1456)*28\/(-8)). What is the greatest common divisor of i and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 95 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -147.34 - 8484?\nAnswer: -8631.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 110 + 50. Suppose 13*j - 11*j = b. Let k(s) = s + 6. Calculate the remainder when j is divided by k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2582, 2584, 2586, 2588?\n\"Answer: 2*a + 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-5)\/((-50)\/(-8)) + (-17358297)\/(-1815). What is the greatest common divisor of u and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17*f**4*q**2 - 2*f**3 - 2*f**2*q**2 - 3*f*q**2 - 149*f*q wrt f?\nAnswer: 204*f**2*q**2 - 12*f - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 74\/881 (b) -3 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75*q**3 + 87*q**3 - 230*q**3 + 66*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -107*g + 97*g + 2590. Calculate the remainder when g is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8\/6 - 4\/(-6). Suppose b*y + 11 = 3. Let t be (1 + -1)\/(-2 - y). Is 0 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -2*x**3 - x - 1. Let q be w(-1). Let y(p) = p**3 - 21*p**2 + 78*p + 20. Let m be y(16). Let n(a) = -26*a - 315. Let u be n(m). Is u not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of 32*n**5\/5 + 79*n**4\/6 - 75*n + 1. Find the third derivative of d(f) wrt f.\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000006645311 to seven dps.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 302113 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/((-8)\/2 + 2). Let x(t) be the second derivative of 1\/90*t**6 + 0 + 0*t**5 - 2*t + 1\/126*t**7 + c*t**3 + 0*t**4 + 0*t**2. Solve x(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*h + 0*h + 3*h)*(1542 - 719 - 1554 - 1473 - 1360).\nAnswer: 7128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10100111010000011010000 + -10?\nAnswer: -10100111010000011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 9 = -5*m + m, -m + 4*o + 19 = 0. Which is bigger: m or 11\/806?\nAnswer: 11\/806","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-69*t + 47 - 22*t - 47)*(-4*t + 2 + 1 - 2).\nAnswer: 364*t**2 - 91*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 32 + 80. Let f = u + 23. Let r(x) = x**3 - 5*x**2 - 10*x - 2. What is the units digit of r(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7.5 - 7. Let i be -4 - (-9 - -4) - -4. What is the second smallest value in i, -8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g. Let x(p) be the second derivative of 4*p**3 - 1491*p. What is -136*f(l) - 6*x(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1158084 divided by -108?\nAnswer: 10723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -100383.833 to the nearest 100.\nAnswer: -100400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + ((-15309)\/(-72))\/21?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -32556 (base 8) in base 4?\nAnswer: -3111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 2 = 4*c - 2*x, -4*x - 41 = 7*c. Put -1, -5, 29, c in decreasing order.\nAnswer: 29, -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 125210.\nAnswer: 1126890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -227, -229, -237, -251?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -33 > -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 26598 - 0.3?\nAnswer: 26597.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 43, 0.3, -1 in descending order.\nAnswer: 43, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 626 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0007125ns in minutes?\nAnswer: 0.000000000000011875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*w**2 + w**2 - 5*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54929.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 7*y - 5*y = -7, 0 = 5*c - 3*y - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 - 4*l - 1. Let h be k(5). What is the remainder when (-3)\/h + 187\/4 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6.679673 to one decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 66 and 395752962?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 536 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -3006068 to the nearest 1000.\nAnswer: -3006000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -101, -210, -389, -638, -957, -1346, -1805?\n\"Answer: -35*q**2 - 4*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108*d**2 - 5*d**3 - 4*d**3 - 15*d**2.\nAnswer: -9*d**3 + 93*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 0*k**2 - 5*k**2 + 0*k**2. Let g(h) = -h**2. Determine g(m(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1208)\/56776 - 3764\/(-188).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -315466 (base 9) in base 4?\nAnswer: -231311121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 + 21 = -11*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -54263, -108134, -162005?\n\"Answer: -53871*b - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 501047?\nAnswer: 71, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/5)\/((-20)\/50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand c**2 + 3*c**2 - 2*c**2 + (3*c + 2*c + 0*c + (-6*c + 4*c + 3*c)*(0 + 1 - 2))*(-7*c + 2*c + 10*c).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 4*h - 2. Let j be m(1). Suppose -2*x - 5*p = -23, 5*p + 59 - 6 = j*x. Calculate the highest common divisor of x and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49 is divided by (1 + 5 + -4)*19\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -4*p**3 - 3*p**2 - 3. Let d(m) be the third derivative of m**6\/40 + m**5\/30 + m**3\/3 + 31*m**2. Give 6*d(y) + 4*i(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -41 + 39.3. Let a = d - 0.3. Let s = -9.85 - -4.85. What is the second biggest value in 4, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54915800 rounded to the nearest 100000?\nAnswer: 54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -280*r + 295*r = 405*r - 15990 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 9692, 2, -85.\nAnswer: -85, 2, 9692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + -1. Let b(z) = -z - 4. Let u be b(m). Let f(c) = -c**3 - 2*c**2 - 5*c + 4. Let o be f(0). Solve o*v - u + 15 = i, i - 1 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1160.6 + -1156.6. Put 6, f, 7, -0.2 in decreasing order.\nAnswer: 7, 6, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 313680467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, v: 1, a: 1, o: 1, y: 4}. Give prob of picking 1 o, 1 v, and 1 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/9*(3 - 1). What is the nearest to 2\/5 in 0.3, q, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -h**3\/2 + 1491*h**2\/2 + 646173*h\/2 - 1195538927\/2 = 0. What is h?\nAnswer: -863, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 2*c - 12. Let d be h(6). Calculate the common denominator of 142\/12*1 + d and 57\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(-6 + 1\/(-1)). Suppose 3*x = w*x - 68. Suppose 0 = -3*r + x - 2. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 33 + 573.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -5*s - 121, -9*y = s - 7*y + 22. Is -5 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (31 + 2*k**2 - 31)*(-3*k - 4*k + 4*k) + 2*k**3 + 0*k**3 - k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 - m**2 - 8. What is k(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 3*p = 139, -3*p + 18 = 3*o - 84. Let h = 34 - 34. Suppose 0 = -r - 4*b - h*b - 3, -5*r - b = -61. Calculate the remainder when o is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*n - 1 = 63 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*n - 63 - 91 = -46 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -13. Let l = v + -2. Let k be -7 + (3 - 200\/(-52)). Which is the closest to -7? (a) -3 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -711.857 + 803892144.\nAnswer: 803891432.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - 39 - (-55 - (-60 + 19)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1441311 (base 5) to base 7\nAnswer: -155613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2 + (-345)\/10 + (-2)\/(-4). Let c = -17 - d. Calculate the highest common factor of 75 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83770779361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*f = -11*f + 300. Find the common denominator of -89\/22 and (f\/(-15))\/((-4)\/(-5)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-13)\/(-1))\/(1\/2). Let h = 43 - c. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21 - 13 - 19476*b**3 + 34.\nAnswer: -19476*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-2\/3))**(-23)\/(m**(-1\/3)*(m**0*m)\/m))\/((m**(-1\/2)*m*m*m)**(1\/3)\/(m**(1\/4))**(3\/23)) assuming m is positive.\nAnswer: m**(4103\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -30990 + 56885. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 AM and 2:21 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1942, -0.2, 4, 2, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 2*z - 12 = 0, 0 = -5*q + 6*z - z. Let w be (-4 - -1)*-6 + q. Sort w, 3, 0.\nAnswer: 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8\/179977 and 36\/7?\nAnswer: 179977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 26813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1581 + -1297. Solve 287*d + 15 = n*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*k + 13*k - 30 = -0*m - 6*m + m, -k = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 2*c**3 + 3*c**2 + 3*c + 4. Let t(g) = -2*g**3 - 2*g**2 - 2*g - 3. Let k(f) = 19*f + 192. Let x be k(-10). Determine x*q(y) + 3*t(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 27942809 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -80351, -321435, -723243, -1285775, -2009031?\nAnswer: -2893011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 5*p - 4. Let f(u) be the first derivative of u**2\/2 - 1559. Determine 4*f(c) - q(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -221 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33633 + -33807. Put -6, s, -1 in descending order.\nAnswer: -1, -6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 239 (base 11) in base 3?\nAnswer: 101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*1*(-1*sqrt(117))\/sqrt(9).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -62 - -34. Let o = 40 + g. Suppose -3*j = -5*f + 2*f - 60, -2*j - 5*f = -o. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-240)\/(-2040) - 6\/(-238).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 7, p: 9, a: 2}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -2\/3 (c) -3 (d) -24 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 301612 + 2024?\nAnswer: 303636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*i + 190 - 96 - 94.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/20 + 1 - (-1)\/(55\/(-90486)). Which is bigger: -1646 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*c**4 + 99*c**3 + 24*c**2?\nAnswer: -48*c + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29*x - 8939*x**2 - 52*x + 10*x + 13*x to the form l*x + w + k*x**2 and give k.\nAnswer: -8939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 429770 + -1281140. Let t = l + 1430610. Suppose -t = 4*f - 19240. Round f to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 319 = 2*x - 11*h, 0 = x + 4*h - 127. Let s be x*(3 + (-7)\/3). Calculate the highest common divisor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5 - 8 - 2\/1. Let f = g - -12. What is the remainder when f is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3360\/(-119))\/(-20)*-17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8234 - 1037467\/126. Let f = -1\/18 - u. Find the common denominator of 58\/21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -61 - 1252116959680.\nAnswer: -1252116959741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 17*v**2 + 12*v + 61. Let k be n(16). Suppose -7*o + 55 = 20. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 39833, 79465, 119097, 158729, 198361, 237993?\n\"Answer: 39632*k + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 17*i + 20*i = -10, 0 = -2*r - 2*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 377 divide 680862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 4*x**2 - 20 + 62 - 19 - 25 + 56*x**4 as n + l*x**2 + t*x**4 + d*x + k*x**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((i**(-1\/2)\/i)\/i)\/i*i)\/(i*i\/(i**(-5\/4)\/i)*i)*i**(-3)*i**(-1\/3))**40)**(2\/3) assuming i is positive.\nAnswer: i**(-2660\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66519 is divided by 2072.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 57505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -39 and 5.4?\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 587.578 + -587. Let i = g - 0.078. Put -2\/5, i, 2\/19 in decreasing order.\nAnswer: i, 2\/19, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - 5. Let r = -6.99994 - c. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 + 82*k**2 + 255*k + 12. Let o be g(85). Calculate the highest common factor of o and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13.82 - -10.82. Which is the nearest to 2? (a) -0.2 (b) 1 (c) 2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1b16 (base 16) in base 7?\nAnswer: -26134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11? (a) -3\/14072 (b) 1\/2 (c) 1.9 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 15147 (base 12) to base 14\nAnswer: aac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 40*d + 42*d - 6*d - 6384. Solve 0 = 17*l + 25*l + d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -36848 or -36847?\nAnswer: -36848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(2\/9))**(-17)*(k\/(k\/k**5))**(2\/13) assuming k is positive.\nAnswer: k**(-2341\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -5467*v + 912990. Determine w(167).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -1021*v + 183. What is the hundreds digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44 divided by 4529032?\nAnswer: -11\/1132258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -110 - 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2*n**3 + 173*n**2 + 462*n + 188. What is the remainder when k(89) is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the second derivative of -z**5\/20 - 59*z**4\/2 - 10203*z**3\/2 + 64082*z**2 + 907*z. Solve p(s) = 0 for s.\nAnswer: -179, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 2, 4\/9, 5, -38 in descending order.\nAnswer: 5, 2, 4\/9, 0.1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 AM and 6:35 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 + 7*u**2 - u - 5. Let m be c(-7). Let r be 20\/(-14)*(-35)\/45. Let x = r + -41\/45. What is the third biggest value in x, -2\/9, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -773\/19 or -42?\nAnswer: -773\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10.2 - 10.2. Let p be (-6)\/(-45) + 8\/(-10). Which is the nearest to p? (a) -2\/15 (b) n (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 15 - -1a?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 314079962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 44 - 133 - 115 - 84 = -36*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 111*m**2 + 54*m + 6. Let n be a(4). Let c = -52 + 50. Let b be 4\/c*(n\/(-4))\/(-3). Round b to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*y - 56 = -34*y. Let v(b) = -y*b + 13*b + 82*b. Let x(r) = -r. What is v(x(p))?\nAnswer: -81*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -19*v - 2. Let y = -8 + 13. Suppose -2*u + 4*j - 8 = 0, -u - y = -3*j - 0. Does 18 divide p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 160, 0, 6 in descending order.\nAnswer: 160, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 398161, 1592592, 3583309, 6370312, 9953601, 14333176?\n\"Answer: 398143*o**2 + 2*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58411981 is divided by 9735330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4160401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5217, -10375, -15533, -20691, -25849, -31007?\nAnswer: -36165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*(y*y\/y**(-3\/4)*y)\/y)\/((y*(y\/(y\/(y**(-11)\/y)))\/y)\/y))\/((y*y**(3\/11))\/((y\/(y**(7\/3)\/y))\/y)) assuming y is positive.\nAnswer: y**(1999\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -4*g**2 - g - 1. Let d be w(-1). Let i = 2 - d. Suppose 0 = -q - 2*q + 12. Solve 4*t + 3*j = 19, -i = -t + 3*j - q*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 + 22*l**2 + 56*l - 19. Let g be m(-19). Let d = -329 + 330. Put 5, d, 2, g in descending order.\nAnswer: 5, 2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (2709\/645)\/((-3)\/15)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 11.2. Suppose -o - 3*o - 8 = 0. Which is the second smallest value? (a) o (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13775862 + 23167862. What is g rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114*p - 242 = -3*c - 113*p, -420 = -5*c + 5*p. Is c at least 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 2*b**2. Let z be o(-3). What is the common denominator of 50*3\/(90\/(-4)) and (6\/(-4))\/(z\/(-56))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n - 999 - 1478 + 740.\nAnswer: n - 1737","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 16*x**2 - 104*x - 77. Is 75 a factor of a(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = f - 3*f - 1589, 3*q - f = 954. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16847*2492.\nAnswer: -41982724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssgg when four letters picked without replacement from ggsggggsgg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -s**5\/7 + 34*s**4\/7 - 23*s**3 - 28*s**2 = 0.\nAnswer: -1, 0, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3 + 7 - (0 - -25). Let h(n) = -2*n + 16. Let g be h(x). Let r = g + -54. Solve 3*y = 6, -r*c + 5*y - 30 = -0*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 + 11*m**2 - 19*m + 17. Is 10 a factor of w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 - 37*j**2 + 47*j + 348. Calculate a(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -328 (base 10) to base 7\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 136360307954 - 6*k**3 - 136360307954.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 536217 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - 0 - 28\/(-36). Suppose -2*n = -3*n - 3. What is the third biggest value in s, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 27359 and 3148029?\nAnswer: 790155279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 4*f = -69, 0 = 2*f + 1251 - 1249. Calculate the remainder when y is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -34.5 (b) -2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2235, -4776, -7317?\nAnswer: -9858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 + 4. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1603*p**3 - 1601*p**3 - 3 + 4 + 211*p**2 in the form z + k*p + w*p**3 + j*p**2 and give j.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -425, -428, -441, -470, -521?\n\"Answer: -x**3 + x**2 + x - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 + 2*q - 1. Let o be w(-6). Let r be 8\/2 + -2 + o. Suppose -5*p + 5 = -r. What is the smallest common multiple of p and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*6*(sqrt(17) + 1) - (sqrt(204)\/(sqrt(48)\/sqrt(4)) + (sqrt(17) + -1)*5)**2) + 0 + sqrt(170)\/sqrt(360) + sqrt(17) + (-4*sqrt(119))\/sqrt(7).\nAnswer: -667 + 163*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes before 8:21 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -53727258*f**4*s - f**3*s - 58*f**2*s + 27*f**2 - 403*f - 11*s wrt f.\nAnswer: -1289454192*f*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -5*q - 22. Let g(b) = -2. Determine 2*g(h) - x(h).\nAnswer: 5*h + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of p**5\/12 + p**4\/8 - 4*p**3\/3 + 9*p**2. Is 34 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 13? (a) 0 (b) -0.2 (c) -2\/15 (d) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from xbrb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/14 and 67\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -493, -500, -509, -520, -533, -548, -565?\n\"Answer: -p**2 - 4*p - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**2 - 10*d + 6. Let c(p) = p**3 - p**2 - 3*p + 3. Let j be c(0). Suppose j = -2*k - 3*b, -k - b - 1 = -0*b. Suppose k = m - 14 + 5. Determine r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of -h**5\/10 - 5*h**4\/12 - 17*h**2 - 37*h. What is the first derivative of s(x) wrt x?\nAnswer: -6*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -500?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 246.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 + 8*k**2 - 8*k + 8. Let w be (-6)\/(-9)*(-42)\/(-4). Let o be n(w). Which is smaller: o or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -8888, -35349, -79420, -141089, -220344, -317173, -431564, -563505?\n\"Answer: 2*r**3 - 8817*r**2 - 24*r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 28 = -p, 3*p = -16*k + 18*k + 44. Calculate the remainder when 200 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 2\/81, -3, 6\/19, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 552*w + 2400*w - 2954*w + 25.\nAnswer: -2*w + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 32535 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 47285110 and 9457022.\nAnswer: 47285110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2 + 3*q + 105. Let u be n(0). Let v = -110 + u. Let c(f) = f**2 + 7*f + 20. Let x be c(v). Solve 0 = -2*w - 8 + x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*3*(-5949)\/81. Let u = b + -652. Solve -u*j = -18*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 - 7*s**2 + 5*s + 14. Suppose t = -8*t + 54. Let l be q(t). Let f(d) = -8 + 6*d + d + l. Let n(b) = -6*b. Determine n(f(k)).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -19*q + 2*q**2 + 60 + 52 + 49*q + q**4 - 32*q in the form l + z*q + g*q**4 + a*q**3 + o*q**2 and give l.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 425552.3 micrograms in kilograms?\nAnswer: 0.0004255523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 8:38 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2259682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*f - 15*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -46.82 - -46.50076. Let o = -0.32 - f. What is o rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 3. Solve 0 = -2*b - 0*b - 3*c + 19, q*c - 21 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 34263*v - 2501192. Calculate q(73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -366200 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 230176 is divided by 114989.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 7193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13763225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -807 to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3087480683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18280 + 18276. Which is the fourth biggest value? (a) r (b) -0.1 (c) -84 (d) -2\/5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -48*l**3 - 2*l**2 - 2*l - 1. Let a be d(-1). Let z = -1 + 4. Suppose -z*b + a = -37. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(200))**2*1.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*s**3 + 9*s**3 + 4*s**3 + 19*s.\nAnswer: -3*s**3 + 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 118*y**2 + 47*y + 28. Does 17 divide t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15845 - 18880 + 7289 = -38*t. What is the highest common factor of t and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7*(-3 + (1 - -4) + -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (144\/(-40))\/((-4)\/10). Differentiate -q**3 + 19 - 15*q**3 - 12 - l*q**3 wrt q.\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -75 != 261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -5 - i**3 + 0*i**3 - 3*i + 2*i**3 - 4*i**2. Suppose 4*v + 5*y + 5 = 0, 0*y - 3*y = 3*v. What is the units digit of p(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**4\/23 + 248*d**3\/23 - 11532*d**2\/23 + 238328*d\/23 - 1847042\/23.\nAnswer: -2*(d - 31)**4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, q: 1, u: 1, s: 1, w: 1}. What is prob of sequence uq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*g**2 + 2*g**2 - 13*g + 4*g - 14 + 10*g to the form m*g + q + y*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together 1527386 and -17886.668.\nAnswer: 1509499.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10264 is divided by 10190.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9)\/(4*4\/16). Let l be (-18)\/6 + 0 + -2. Let w = l - j. Solve 2 = w*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88 = -55*n + 11*n. Solve 5*i - 2 - n = 3*q, 11 = -5*q + 4*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8f5ce8 (base 16) in base 13?\nAnswer: 1c3c637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-10))\/g*g\/(g**8\/g)*(g*g**(13\/5))\/(g**(-1)\/g*g))**(2\/17) assuming g is positive.\nAnswer: g**(86\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 22 + -560832519698.\nAnswer: -560832519676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*i + i**4 + 6*i - 2*i**4 - i**4 + 2*i**3 to the form p*i**3 + o*i + n*i**4 + z + t*i**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -136 (base 7) in base 9?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 23*(-3)\/(-21) + -3. Suppose 0*l + 4*l = 0. What is the closest to h in l, -0.5, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (7\/(-21))\/(2\/(-6)). Solve v = 2*s - 7 - 0, -2*v + s = -p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t + 2. Let p be h(5). Let n = -1259\/6 + 210. Suppose -5*r = -3*j - 16, -2*r + 0*r = 8. What is the third biggest value in j, p, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-4))\/(11\/22). Is -4\/75 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1849*h + 453302 = -25707*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 210*r**5 + 133*r**2 - r?\nAnswer: 12600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the third derivative of 4*t**7\/105 - 7*t**4\/24 + 10*t**2. What is the second derivative of h(n) wrt n?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 96890*p**5*x + 2299*p - 6*x wrt p.\nAnswer: 1937800*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + (-1 - -1))*(0 - -18). Let t be (-3 - 68\/(-20)) + r\/(-5). Solve h + 8 = -2*f + 5*h, -h = t*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(6*sqrt(684)*-2 + sqrt(684))\/sqrt(12))\/(1*5*sqrt(108)*-1).\nAnswer: -11*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 610, 2497, 5644, 10051?\nAnswer: 15718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 159114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 11*y - 5*y - 69568, -55643 = -4*a - y. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 + f**2 - 10*f - 4. Let p be b(6). Which is smaller: p or -243?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 349628127 to the nearest integer?\nAnswer: 18698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pk when two letters picked without replacement from {p: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -986\/63 - -108\/7. Put -65, 2\/7, c in ascending order.\nAnswer: -65, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 429.99 + -430. Let s = 54 + -54. What is the biggest value in z, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.4, -2781, 1\/4, 44, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v = -d + 20, -97*v + 1560 = -155*v + 62*v + 78*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*t**5 + 1355*t**4 - 2996*t**3 - 26260*t**2 + 22096*t - 4480 = 0. What is t?\nAnswer: -56, -4, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 34*w**3 + 726*w**2 + 270*w + 365. Calculate u(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 327075163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(425) + -2*sqrt(425))**2*6 + (5 + (sqrt(2448) + 1)**2)*-1.\nAnswer: -24*sqrt(17) + 2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor c**2\/5 - 401*c\/5 - 402\/5.\nAnswer: (c - 402)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 326\/9 + (-2 - 96\/(-54)) is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 3 = 2*z. Suppose 3*m - z*c - 15 = 0, -2*c + 0*c = -6. Is 10 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6729693, -13459378, -20189061, -26918742?\nAnswer: -33648421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -1, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -k - 13647 + 7133 + 6514.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 8 - (-2 + 135\/9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 23, 2, -2, 12122 in descending order.\nAnswer: 12122, 23, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 112456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 168 * 41.0637.\nAnswer: 6898.7016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2046 + -8123\/4. What is the common denominator of 101\/6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m**(-1\/3)*m*m*m**(7\/2)*m**2\/(m**(-3)*m))**(-35) assuming m is positive.\nAnswer: m**(-2345\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 37 = -18. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (446\/3)\/(16\/24) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -160, 19 in descending order.\nAnswer: 19, 3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + 7*c**2 + 6*c - 3. Let z = 34 - 4. Suppose -3*i = -8*i - z. Determine r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64635 and 13485.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-10) - (-26)\/5. Let c be 15\/25*15\/3. Solve t + 1 = c*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddhdrrhdhccddhdhhd. Give prob of picking 2 r and 1 c.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is y in 5*y**2 - 340*y - 345 = 0?\nAnswer: -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 77204517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -79*d = -90*d + 385. What is the greatest common divisor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2*(6 + (-10)\/2). Solve -z - 18 = 2*o + o, m*o + 4 = 2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 1270*r + 5. Let n(b) = 6*b**2 - 39*b - 20. Let x be n(7). What are the prime factors of v(x)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 825 divide 38987807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 - (-4 - (-3 - -1)). Let k be h\/(0 + -1) - -4. Suppose -3*j - k*a = -39, 2*j - 2*a - 3 = j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89 = 5*a - 1. What is the greatest common divisor of 198 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1619735, -1619734, -1619733, -1619732, -1619731, -1619730?\nAnswer: -1619729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 13*m**2 + 3*m - 10. Does 11 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 9*g. Let t(c) = 2*c. Let o(s) = 8*s. Let x = 82 - 91. Let w(j) = x*t(j) + 2*o(j). What is l(w(u))?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 29605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -21, -39, -43, -27, 15, 89, 201?\n\"Answer: u**3 + u**2 - 28*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + -115?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 414262 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 84786 = -3*p, 56*z - 56468 = -2*p + 61*z. Is p a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 0)*(t**5 + 5*t**5 + 3*t**5).\nAnswer: 9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = 5*v - f - 30, 3*f = -6. Factor -y**4 + v*y**3 + 3*y**4 - y**2 - 10*y**3 + 2*y - y**2.\nAnswer: 2*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30*n**5 + 17*n**4 - n**2 - 337?\nAnswer: 1800*n**2 + 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 31 + -49. Let x = k - -25. Let y be 15\/(-21) + (-2)\/x. Which is the nearest to -0.1? (a) 3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1239 and 9?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*i**4 - i**4 - i**4 + 0*i**4 - 4*i**4 + 3*i**4 + 0*i**4 + i**4 + 0*i**4 + (-3*i + 0*i + 0*i)*(i**3 - 4*i + 4*i).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:00 PM and 6:33 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.24474 years to centuries.\nAnswer: 0.0924474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 22797 + -456049\/20. Calculate the common denominator of g and -43\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 PM and 12:51 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -17245, -7, 8, 4, 1, 0 in descending order.\nAnswer: 8, 4, 1, 0, -2, -7, -17245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16037, -14741, -12581, -9557, -5669, -917?\nAnswer: 4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1697*m - 4352 = -1969*m. Calculate the remainder when -1 + -2 + 1 - -28 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 0.4, -7.07?\nAnswer: -7.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -517 + 521. Suppose -1 = n, -z - n - 6 = r*z. Let i = 0.09 - 0.19. Which is the nearest to i? (a) -3 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 680183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3 + -2 + -7 + 10. Put q, -1, -10, 1 in descending order.\nAnswer: q, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4 + -2)*(-13)\/(-13). Let q(w) be the second derivative of 0 - 5*w - 3\/140*w**5 + 1\/28*w**4 - 3\/14*w**s + 1\/14*w**3. Find z such that q(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 5:26 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oxoxxx. Give prob of sequence oxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 155204 is divided by 3374.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 - 4*s**2 - s**2 - 6*s**2 - 4*s**2 + (s + s + 0*s)*(3 - s - 3) to the form i*s + p + y*s**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/(3\/(15\/10)). Which is smaller: 3\/226 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - (2 + 2)) + 3. Suppose t = 4*q - i - 21, 2*q + 2*i = -2*i - 12. Let r be 2 - 0\/q - 1*-4. Solve 3*f - r = 0, 4*a - 3*f + 6 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11131 + -11132. Let h(n) = -4*n**3 - 2*n**2 - 14*n - 13. What is h(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**3 - 7*d**2 + 8*d - 1. Let m be x(-8). Let j = 0 - m. Which is the biggest value? (a) j (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-6)\/i**(-1\/2))\/(i**0)**(10\/3) assuming i is positive.\nAnswer: i**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be 46\/14 - 4\/14. Suppose -7*m + 12*m = 140. Suppose s + m = l*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 - f**2 + f - 8. Let v be s(0). What is the remainder when (-2)\/(v\/(-114))*176\/(-24) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -206 take away -2.4079054?\nAnswer: -203.5920946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-19 + (-574)\/(-30))*495\/18?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 392638507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -4052*o**2 + 97297*o - 1171. Give s(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -66*f. Suppose -8*o = 13 - 53. Let a(p) = 7*p. Let c(b) = o*x(b) + 48*a(b). Let k(s) = 3*s**2. What is k(c(d))?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88 = 8*i - 432. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 7*u - 7. Let h(c) = 10*c - 10. Let t = -2 - -7. Suppose 0*z + 21 = -3*z. Let o(l) = t*h(l) + z*x(l). Determine o(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -34 + 47. What is the remainder when 37 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2540730 rounded to the nearest 10000?\nAnswer: 2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 171702*g**3 + 7 - 7 - 3*g - 171731*g**3 as r + m*g + a*g**3 + n*g**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r + 32*r**3 - r**2 - 72*r**3 + 0*r**2 + 37*r**3. Let b = -7 + 5. Determine w(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15 and 5745?\nAnswer: 5745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 26747*f**2 - 2*f - 1. Let a be d(2). Let n(i) = 878*i**3 - 3*i**2 + 4*i - 3. Let o be n(2). Let y = a + o. Round y to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*f**2 - 3*f - f - 40*f**2 - 90*f**2.\nAnswer: -110*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 9 = 3*l. Let v be 3 - (l + (-3)\/(-3)). Solve 8 = -v*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -9*y**2 - 251*y - 1318. Determine m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 137, 273, 429, 611, 825, 1077, 1373?\n\"Answer: c**3 + 4*c**2 + 117*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(360) + (sqrt(360) - (-1*sqrt(360) - sqrt(360))))\/((sqrt(72) - (sqrt(72) - 2*sqrt(72))) + sqrt(72)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bfn when three letters picked without replacement from {b: 2, n: 1, r: 1, x: 2, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -27926.3781*3\nAnswer: -83779.1343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 2*p**2 + 29*p - 192. Determine o(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7\/8 in 6, 1, -2, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 r, 1 m, and 1 y when four letters picked without replacement from {m: 2, y: 2, p: 4, r: 5}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -1.81782248 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 o, and 1 v when three letters picked without replacement from {v: 1, h: 2, a: 6, t: 2, c: 5, o: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -2*j - 21*j**2 - 441*j**3 + 0*j**2 + 443*j**3 - 3 as b*j + f + c*j**2 + m*j**3 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((-1 + sqrt(2736) - sqrt(2736) - sqrt(2736)) + sqrt(2736)))**2 + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of x**8\/112 - x**7\/140 - x**6\/24 + x**5\/20 + x**3\/3 + 7*x**2. Let d(z) be the first derivative of y(z). Factor d(p).\nAnswer: 3*p*(p - 1)*(p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00025728 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 2 + 0 + 3 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 1 = h - 4, 0 = z + h - 4. Let a = -3797\/10 - -380. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 419993, 419995, 419997, 419999, 420001?\n\"Answer: 2*a + 419991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*z**2 - 16 + 19*z**2 - 13*z**2 + 5.\nAnswer: -11*z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**3 + 5*n**2 - 2*n + 4. Let c be z(5). Let l = 9 + c. Suppose l*t - 3 - 9 = 0. Solve -t*h = 1 + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 46265 and 10640649\/230 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -9*n + 39. What are the prime factors of f(-30)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39513 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 7\/6, 13, 3, -2\/3.\nAnswer: -2\/3, 7\/6, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -119 + 123. What is the fourth biggest value in 0.2, -35, -7, x?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.09 - 5.91. Let y = a - -9. Let c be (-3)\/15*(-5)\/2. Put c, y, 0.1 in increasing order.\nAnswer: 0.1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172540450 rounded to the nearest 100000?\nAnswer: 172500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + 12 + 8 + -12 - (-1 - -1 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 17124 - 8436 - 8508 - c as y*c + d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -32 * -150.8\nAnswer: 4825.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 303286 + 66?\nAnswer: 303363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 69? (a) 36 (b) -0.03 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 0 + (-12 - -22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-54))\/((-121)\/(-363))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0\/(0 + 2) + 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fuufuuu. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 AM and 7:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 47*z - 195 - 181 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -1\/8 (b) 0.02 (c) -6 (d) -1.8 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 350906127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 5*s**4 + 0)*(9*s + 2*s + 11*s).\nAnswer: -110*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 37200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -18*r**4 - 57*r**3 + 186*r**2 + 75*r - 150 = 0.\nAnswer: -5, -1, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14928 is divided by 4975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -20*j - 3*m + 2*m - 139, -m + 22 = 1253*j - 1256*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 17290*d - 397651. What is c(23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*t**2\/7 - 2305594*t\/7 + 864600\/7.\nAnswer: -2*(t + 144100)*(8*t - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, 14, -22 in decreasing order.\nAnswer: 14, 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -5*w - 15. Let a be x(-6). What is the third derivative of -3*p**6 - 18*p**2 - a*p**6 + 0*p**6 wrt p?\nAnswer: -2160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**3 - z**2 + z. Let k = 54 + -55. Let i(t) = 24*t**3 + 4*t**2 - t. Let h(n) = k*i(n) - 4*d(n). What is the second derivative of h(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -40 - -40.00074. What is s rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 10 = -y, 0 = -2*u - 5*y + 7 + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 13 = 3*q, -3*f + 2*f + 10 = 2*q. Suppose q*r + 6 = 24. Calculate the remainder when 21 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 143, 448, 933, 1616, 2515?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 704*c**4 + 2*c**3 + 2*c**2 + 205*c + 6783822.\nAnswer: 2816*c**3 + 6*c**2 + 4*c + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4, -28, -68, -124, -196, -284?\n\"Answer: -8*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*r**2 + 6*r**2 - 11*r**2 + (1 - r - 1)*(r + 0*r + r) + 12*r - 12*r - 176*r**2.\nAnswer: -193*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 9bc - 4?\nAnswer: 9b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/7))**11\/(r**(-2\/9)\/(r*r*r*r\/(r**(5\/11)\/r))))**(3\/13) assuming r is positive.\nAnswer: r**(1126\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 0.01 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (42*o**2 - 42 + 42)*(o + 2 - 2) + (0*o + 4*o - 3*o)*(4*o**2 - 2*o**2 - o**2) to the form t + g*o**3 + w*o**2 + h*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -196, 16, -5 in ascending order.\nAnswer: -196, -5, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -132880 divided by -13288?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 4, h: 15}. Give prob of sequence chc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, c: 6, t: 2, x: 1}. Give prob of sequence uux.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 253388669619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -38910\/23 greater than -1692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (89 - 58787*t + 58785*t + 4)*(-5*t + 2*t + t) to k*t**2 + m*t + w and give m.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 + 3*n + 2. Let f be g(-3). Suppose i = t - 6, t = -5*i + 14 - f. Solve -d + 5*d = -b - t, -2*b = -5*d - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/17658 and -23\/5890905.\nAnswer: 106036290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(114) + (sqrt(114) - (-2*sqrt(114) + sqrt(114))*4))\/((-2*sqrt(12))\/sqrt(2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 6095376, 6095377, 6095378, 6095379, 6095380, 6095381?\n\"Answer: s + 6095375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**6*d*d\/(d\/(d**3*d))*d)\/(d**(3\/7))**8 assuming d is positive.\nAnswer: d**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 754*d*w**2*z - 58*d*w*z - 13*d*z - 2*d + 2*w*z + 26*z - 17 wrt w.\nAnswer: 1508*d*w*z - 58*d*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -43\/58 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 233402102 + 2?\nAnswer: 233402104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2830 - 8?\nAnswer: 2826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29.8 - -8.2. Let j = g - 37.5. Sort -1\/2, -3, j, -0.3 in descending order.\nAnswer: j, -0.3, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**2 - 10*q + 2. Determine d(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 5*d + 5. Let h be q(5). Suppose -4*k + h = k. Suppose 0 = -11*b + k*b + 1635. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 336 - 291. What is the highest common divisor of b and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*w**2 - 2*w**2 - 1778602*w + 1778602*w.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 8617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -112*p + 480. What is the thousands digit of z(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 193450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - -1105422?\nAnswer: 1105416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 + 10*f**2 - 7*f + 2. Suppose -j + 54 = 5*j. Let o be n(j). Calculate the highest common factor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 16*s - 8. Let f be 27\/(-6)*(-14)\/21. Let m be t(f). Suppose 8 = -4*i, -3*i = -5*r + 2*i + m. Solve w - 4*j + 21 = r, 0 = -w - 5*j + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*g**2\/3 - 163*g\/3 - 46\/3 = 0 for g.\nAnswer: -23, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2289 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 49\/15?\nAnswer: 49\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4.009 - 0.009. Let k = -0.99 + -0.01. Let j = k - -1.1. Which is bigger: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 16048 = 5*n, 0 = -h + 16*n - 15*n + 4012. List the prime factors of h.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, -1, 423.8?\nAnswer: 423.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -4*m + 15, r = -3*m + 8 + 2. Suppose -m*j - 45 = -120. Calculate the remainder when 42 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:55 PM and 11:47 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 450 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 342, 1363, 3066, 5451, 8518, 12267?\n\"Answer: 341*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3 + -6 - (-14 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12 - 13122?\nAnswer: -13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((322\/506)\/(-7))\/(120\/22)\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 2*s = -s + 3, 0 = 5*a - 2*s + 8. Let p = -26 + 15. Let k = a - p. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 4 = n. Let q(k) be the third derivative of k**5\/60 - 5*k**4\/24 - k**3\/2 + 53*k**2. What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1919 or 1922?\nAnswer: 1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 354 and 15?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9404?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + (0 + sqrt(45)*1)**2 - (-3 + (sqrt(405) + sqrt(405) + sqrt(405)*1)\/sqrt(9))) + -5)*6*-4.\nAnswer: -912 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2036*c + 2479*c - 15062 = 0 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, -3702, -1 in decreasing order.\nAnswer: 5, -1, -4, -3702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-15)*(-411)\/2740?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -42*k + 15*k - 108 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*o = 13*o - 140. Let m = 0.06 + 0.24. Put o, -5, m in decreasing order.\nAnswer: o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) -2\/3 (c) 1.51 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111 + 117 = 4*m. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -33356 or -33358?\nAnswer: -33356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -336*l + 17*g = -338*l - 113, -24 = l + 2*g for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -960, -7537, -25392, -60165, -117496, -203025?\n\"Answer: -940*a**3 + a**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1573 is divided by 779.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/((-1296)\/(-45))*3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, 47, -2\/5, -172\/21, 1 in descending order.\nAnswer: 47, 1, 0.6, -2\/5, -172\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 4.307303 micrograms?\nAnswer: 0.000000000004307303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-8) - 10250\/8. Let y = -756 - x. Suppose 2*a = 5*a - y. Calculate the greatest common divisor of a and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 17a50db - 4?\nAnswer: 17a50d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zggzggggggggfgzg. What is prob of sequence gg?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = z + 7 + 7, z = 5*f + 22. Is 18 a factor of z\/4 + (-175)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + 44.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 + 94 = m. Calculate the smallest common multiple of m and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 478699, 957398, 1436099, 1914802, 2393507, 2872214, 3350923?\nAnswer: 3829634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 33648004 and 34808280?\nAnswer: 1009440120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 22405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = -4*d + 5 + 277 + 23 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1669 + -1591. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 1.3116528 minutes?\nAnswer: 0.00091087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*c + 39*c = 0. Solve c = 3*b - 3 - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002574521317 to 6 dps.\nAnswer: 0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(18) - (2 + sqrt(288)))*-4 - (sqrt(288)*1 + (sqrt(18) - (sqrt(144)*-1)\/sqrt(8)) + sqrt(18)))**2.\nAnswer: 240*sqrt(2) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 90050 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52085 divided by 6.\nAnswer: 52085\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (j + 0*j - 2*j)*(-9 + 9 - 4*j + 7) as d*j + k*j**2 + q and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/(-1) - (12 - 7) - -95. Which is smaller: h or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iniiinvviinnnni. What is prob of picking 2 n and 1 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand n + 0*n + n + (-9 + 2 - 2)*(-29 + 29 + 33*n).\nAnswer: -295*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (38 + -33 - 22\/4)\/((-2)\/20). Solve 0 = -j + l*r + 18, 5*r - r + 14 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20818)\/(-11896)*(-60)\/91.\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -582 + 342. Let g = b - -243.16. Round g to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 5*x - 740 = 0, 31*x - 29*x = c - 352. Which is greater: -1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*f + 14*f - 2247 = -30*f + 833 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 5*(sqrt(468) + sqrt(52))\/sqrt(4).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 - 0) + -1 + 2. Let b = 0.73 + -0.32. Let f = -0.01 + b. What is the second smallest value in w, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 7*i. Let o be r(8). Let k = o - -4. Suppose -6*g + k = -g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + 154*h - 149*h = 3, h = -4*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20\/30*(8 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -29 - -17. Let o(x) = -x**3 - 12*x**2 - 3*x + 4. Let c be o(p). Let u = 26 + c. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 - u**2 + 2776. Let r be i(0). Let b be r - (-2)\/(-2 - -3). Suppose b = 10*j - 5872. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r**2 + 5*r + 2. Let o be j(-7). Suppose -o = b - 6*b. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8603023721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11657 - 7813. Does 77 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**2 - 4*k - 4. Let z(c) be the first derivative of -2*c**3 + 21\/2*c**2 + 21*c + 9. Give -21*p(d) - 4*z(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/175 and 26\/385.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of s**3\/3 + 3*s**2 + 5*s - 233. What is j(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 0, 5, -3 in increasing order.\nAnswer: -3, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 972.4, -2, 2\/11, -0.2, -1 in increasing order.\nAnswer: -2, -1, -0.2, 2\/11, 972.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -31*x**3 + 44*x**3 + 21*x - 27*x**3 + 106 - 124 to s*x + j*x**2 + f + n*x**3 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 - 9*u - 14. Let d be x(10). Which is the closest to 8? (a) 1\/2 (b) 3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32b49b (base 14) in base 2?\nAnswer: -110100100010001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11384784?\nAnswer: 2, 3, 173, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/1*0\/(2 + 4). Solve -5*h + 4*j + 7 = q, -2*h + 4*j - 2 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the first derivative of y**3\/3 + 5*y**2\/2 - 9*y - 136. Determine i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/9 (c) 0.69 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24439\/3 + 8146. Sort r, -5, 3, 17, 2\/7 in increasing order.\nAnswer: -5, r, 2\/7, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8*v**2*x - 6*v**2 + 3*v*x - 25*v + x + 30545 wrt v?\nAnswer: 16*v*x - 12*v + 3*x - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 8 + 8 = k - 4*f, -2*k + 89 = -5*k - 53*f for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 476\/9 - 53. Suppose -4*w - 9 = -1. Let b be w\/(-7) - (-2)\/(-7). Is b at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5501912 and 1352.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**2 - 3. Let d be v(0). Let p(g) = 3*g**2 - 7. Let z be p(d). Solve -5*j = z, -2*j - 10 = c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11001011011 - -10000100?\nAnswer: 11011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/2 - (0 - 3 - -6). Let c be -1 - 22\/((-4)\/d). Let s be 17 + (c\/20)\/(2\/10). Calculate the greatest common factor of s and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by -123\nAnswer: -11\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 393014?\nAnswer: 2, 37, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2)*(-1716*o - 29*o**3 + 1716*o + (0*o - o + 0*o)*(6*o**2 - 7*o**2 - 10*o**2)).\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 11751473 (base 8) in base 10?\nAnswer: 2609979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -641.697 + 642. Let l = -0.258 + i. What is l rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 5 (b) -3 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 564 (b) -3 (c) -30 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4924 + 1378 = 197*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, w: 10, e: 6}. Give prob of picking 2 m.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 19042*t**4 + 3353*t**2 - t?\nAnswer: 457008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -175700 rounded to the nearest 1000?\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/960 in -2\/11, 271, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -20497*q. Let z(l) = 2*l**2. Calculate v(z(w)).\nAnswer: -40994*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*i - i**2 + 91*i + 3*i**2.\nAnswer: 2*i**2 + 127*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1205671523 - 18.\nAnswer: -17.8794328477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find s such that s**5\/8 + 3253*s**4\/2 + 42301995*s**3\/8 - 21185167*s**2 - 26471290*s = 0.\nAnswer: -6508, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1024)*-2)\/(sqrt(88)\/(sqrt(33)\/sqrt(3)))*1*-5)**2 + -4.\nAnswer: 12796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 748 a factor of 930632976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -73 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 50, 60, 74, 92, 114?\n\"Answer: 2*j**2 + 4*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 177579541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*v**4 - 30*v**3 + 30*v**3 + (-43 + 43 - 6*v)*(3*v**3 + 7*v - 5*v + 0*v**3) to the form n + p*v**3 + u*v**4 + c*v**2 + d*v and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 18\/20*(-35)\/(-21). Let a(u) be the first derivative of u - b*u**4 - 2 - u**2 + 2\/3*u**3. What is a(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 - 7*h**2 - 8*h + 4. Suppose -f = 2*u - 47, -5*f + 2*f = 5*u - 115. Let s = u - 16. Calculate the remainder when s is divided by w(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -62 + 70. What is the remainder when 141 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 333 (base 7) to base 4\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.102557 nanometers in meters?\nAnswer: 0.000000000102557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4254163 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5 - 3 - -1) + 3. Solve 2*r = -r + m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 7. Let d = 0 + l. Let p be ((-4)\/d)\/((-3)\/(-324)). What is the highest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 319695430 and 0.13.\nAnswer: 319695430.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, p: 5, q: 3}. What is prob of sequence qqpq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 3*r, -3*y + y = -r. Suppose a - 27 = -3*d, -2*d + 5*a + 2 = 1. Let p be ((-885)\/132)\/(-5) - 2\/d. Does y = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes before 1:30 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 460531629 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 5, c: 2, m: 1, o: 1, x: 6}. Give prob of sequence mxcx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 - 22 = 7*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) 4 (c) -9\/7 (d) -4\/3 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 528 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13372 + 441311\/33. Is 2 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - 2*h**2 + h + 1. Let c be q(-2). Let l(z) = -2*z**3 - 2*z**2 + 6*z - 70. What is the remainder when l(-5) is divided by (-15 - -2)\/(c\/2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-2\/37)*h**0)**(2\/129) assuming h is positive.\nAnswer: h**(26\/1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 8*x - x**2 + 41*x - 12*x + 0*x**2 - 3. Is t(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3242.919cm in nanometers?\nAnswer: 32429190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the second derivative of -21*z**5\/20 - z**3\/3 - z**2\/2 - z. Let p be ((-2)\/(-6))\/(6\/(-18)). Calculate the least common multiple of 18 and s(p).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 1142*j + 1883. Let a(o) = 5712*o + 9415. Let p(d) = -4*a(d) + 22*w(d). What is the first derivative of p(z) wrt z?\nAnswer: 2276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -3*w - 2. Let i(k) = k**3 + 18*k**2 - 19*k - 5. Let g(o) = o**3 + 11*o**2 + 22*o + 17. Let l be g(-9). Let s be i(l). Calculate n(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 2802 = 3*x - 2*x, x = -g + 2794. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**3\/5 - 2256*h**2\/5 + 452*h.\nAnswer: -4*h*(h - 1)*(h + 565)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/(-3) + 2 + -1. Suppose 723*b = 789*b. Suppose 4*v - 2*o + b*o = 538, p*v - 544 = 4*o. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -211 - -121?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3596994)\/4495905 - (-16)\/20. What is the nearest to -1\/4 in 5, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**2 - 11*a + 14. Let r be z(4). Suppose -h = -f - 2, 20 = r*f + 2*h + 2*h. Let v(y) = 12*y**3 - 3*y**2 + 2*y + 1. Is v(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 120*v. Let b(c) = 11*c. Determine -65*b(t) + 6*w(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.15 in -2\/3, 4, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -2 + 1 + 2 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 28, 4.2, -3, -18, -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(34) + (sqrt(4114) - sqrt(34)))\/sqrt(2) + -1*sqrt(17)*-3) + -5 + 4.\nAnswer: -42*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -10*w**2 - 2*w + 12. Suppose 2*m + 20 = m. Let d be -1*(-1)\/(4\/m). Let t(q) = -26*q + 18*q - 5 + 2*q**2 + 2*q**2 + 9*q. What is d*s(o) - 12*t(o)?\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11031 - -13?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -2, 0.3, -1.67, 2\/18219?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 0.062 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = -0*c + 11*c. Let a(k) = -2*k - 2. Give a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -1\/9, 6\/5, -2.9, 0.04567?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -5*s**2 - 109*s + 27. Calculate c(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -26*h + 33*h - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -1179202439 - 22.3.\nAnswer: -1179202461.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g - 96. Let a(b) = -2*b + 1. Give -3*a(m) - f(m).\nAnswer: 4*m + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 78 a factor of 365694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1547 and 79560?\nAnswer: 556920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*g + m - 2, g - 5*m - 1881 = -1859 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -540*r + 540*r - 312609*r**3.\nAnswer: -312609*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -16, 16 in ascending order.\nAnswer: -16, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.46 + -0.06. Let z = 73.4 + 125.6. Let u = z + -204. What is the smallest value in a, u, 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8365.694 meters in centimeters?\nAnswer: 836569.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -38*i**3 - 10*i**2 + 22*i - 4. What is the thousands digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1\/5)*h\/h**3)**(-1\/9)*(h**(-6)\/(h**(-5)*h*h*h))\/(h*h\/(h*h**(2\/7)))**(12\/11) assuming h is positive.\nAnswer: h**(-15713\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 3260.335ml?\nAnswer: 3.260335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12736\/(-960) + 15 + (-2)\/(-3)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 3*t - 15 - 12, 5*t = 5*y - 105. Solve -2*n + 4 = -0*n - 5*a, 4*n = -3*a - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 339, 168, -301, -1218, -2733?\nAnswer: -4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5653470 divided by 2826735.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18.919 + -19.319. What is the closest to -0.02 in -0.014, 0.1, 1, k?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 400 divided by 2\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 17794933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 3*k. Let b(f) = 19*f - 82. Give x(b(d)).\nAnswer: 57*d - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -3*w - 192. List the prime factors of (1\/(-2))\/((-8 + 5)\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1689 - -1691. Solve -n*o + 9*o = 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + 1 + -9 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 21*z**5\/5 - 36*z**4\/5 + 9*z**3\/5 + 6*z**2\/5 = 0. What is z?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 16, 15, 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 60 in 1, 2\/7, -0.5, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) -2 (d) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/3 - 317038912*s - 37692626895803904.\nAnswer: -2*(s + 237779184)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 5*s = 100. Let m = -2 - -2. Suppose m*n = 2*n - s. Let q(f) = -f + 2. Give q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.515 - -270100.341?\nAnswer: 270100.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wprsjprrjsvwpr. Give prob of picking 2 r, 1 s, and 1 w.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -1241.4518679?\nAnswer: -1241.4518679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -63 - -35. Let z = 107 + l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1330*i + 255*i + 282*i - 921*i as a + y*i and give y.\nAnswer: -1714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 34\/4067 and 15\/42413?\nAnswer: 296891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -492 - -369. Let u = 181 - z. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -170018460 divided by 570?\nAnswer: -298278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jyrbfrx. Give prob of picking 1 x, 2 r, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 2.4?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 16 + 0 = 0, f = -5*j - 15. Suppose 5*g + 3*v = 7*v + 6, 0 = 5*v - f. Solve g + 10 = -2*m + 2*t, 3*m + 23 = 4*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**2)**(-4\/5))**(-24)\/(i**5*i**(1\/10))**(-41) assuming i is positive.\nAnswer: i**(495\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*g + 250 - 34 = 0. What is the least common multiple of 10 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 8*s**2 - 2*s**2 + s**3 + 8*s**2 + s - 4*s**2. Is z(-7) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 57152.95 millimeters to meters.\nAnswer: 57.15295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(44) - 5*sqrt(704))\/((sqrt(8)\/sqrt(2) - sqrt(4))*-6 - sqrt(4)).\nAnswer: 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 73237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -718*h**2 - 9943*h + 25. What is z(-14)?\nAnswer: -1501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from {t: 1, o: 5, e: 14}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -q**4 + 16988434*q**3 - 14*q**2 + 302565031*q?\nAnswer: -12*q**2 + 101930604*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*l - 305*l - 3672 = 0 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 729 - 2188\/3. Let z = 2 + -3\/2. What is the nearest to z in 2\/5, w, -1\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -121*-5*(-112)\/(-1540)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -6*1*18\/(-27)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w**3 - 40*w + 21*w + 2*w**3.\nAnswer: -2*w**3 - 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4620162 is divided by 3738?\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 2*i**3 - i**2 - 2*i - 1. Let l be h(2). Let y = l + -3. Suppose 0 = y*o - 0*o - 32. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 282361042?\nAnswer: 2, 1933, 73037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -780, 6, -5, 13 in increasing order.\nAnswer: -780, -5, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 87*c + 81*c - 346*c + 84*c + 91*c. Let n(q) = q**2 - 8*q - 2. Let z be n(8). Let t(l) = 3*l. Determine z*j(s) - 3*t(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 65 + -71. What is the common denominator of (11\/3)\/(c - 214\/(-27)) and -81\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-7 - -4) + (64 - 0). Suppose 0 = -5*v + 2*a + 175, 58 + i = 3*v - 4*a. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -246 or -285?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 711421.3 litres to millilitres.\nAnswer: 711421300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h. Let l be o(1). Let i be (2\/(-7) - -1) + l. Put i, 2, 2\/13 in ascending order.\nAnswer: i, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 20 = -0*g. Let h(d) = d**2 - 2*d - 11. Let q be h(g). Let w = q + -17. Calculate the remainder when 11 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -2*z**2. Let q(k) = -4*k + 0 + 1 + 5*k. Let m(r) = 12*r + 6. Let u(h) = -m(h) + 6*q(h). Determine u(a(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1611893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1196 + -1193. Put 154, 5, k in ascending order.\nAnswer: k, 5, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5706 - -12019. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-4\/19)\/(f\/(f\/(f*f*f\/((f\/f**18*f)\/f)*f*f))) assuming f is positive.\nAnswer: f**(-422\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5722 = s - 3*s. Let f = 861 - s. What is f rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8.453 + -5.453. Which is the nearest to -0.1? (a) -15 (b) -0.1 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 605 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 687773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/45 and -23\/20610.\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 2*u + f, 0 = 2*u - 4*f + 1 + 5. Let b = -3 - u. Suppose -b*s + 82 = 26. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = -t + 10, -6*t + 5*t - 25 = -5*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -2*d + 90. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 - 17 = -3*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 71177074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -17 (base 11) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 3 + 3 - k - k.\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the first derivative of -3*x**3 + x**2 - 3*x + 293. Let l(d) = -d**3 - 6*d**2 + 9*d + 16. Let r be l(-7). Calculate k(r).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.4068 - -32.4068. Which is the closest to -1? (a) -0.1 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j = 10 - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (41\/((-18819)\/34))\/(195\/4095).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 + (-2 - -1))*(-46)\/(-1219). Let o be (1\/106)\/(28\/960). Let p = q + o. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 525654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d*v**4 + 12*d*v**3 - 3810*d*v + 30*v**4 wrt v.\nAnswer: 24*d*v**2 + 72*d*v + 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**3\/11 + 318*x**2\/11 - 240*x + 5344\/11.\nAnswer: 2*(x - 4)**2*(x + 167)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2024.3 from -136.\nAnswer: 1888.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of -17*b**7\/7 + 55*b**4\/4 + 286*b**3 + b - 367. What is the third derivative of m(f) wrt f?\nAnswer: -2040*f**3 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 227, 1806, 6099, 14462, 28251, 48822?\n\"Answer: 226*s**3 + s**2 - 6*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -4*y + 0 + 5*y + 2 - 3*y**2 + y. Let s(v) = 0*v - 7*v**2 + 3*v + 7 - 2 + 2*v. Let o(j) = 5*i(j) - 2*s(j). Let b(h) = 2*h. What is b(o(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11578 - -11578.2. Let n = 1 - 1.5. Which is the closest to i? (a) -2\/3 (b) n (c) 5.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3136*k**5 + 48*k**2 + 1163996*k wrt k?\nAnswer: 62720*k**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 10, 3*m - 3 = b - 1. Let j be 4\/(4\/(-1))*m. Solve k + 1 = j, n + 3*n - 2*k - 18 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*n**5*o*s - 6898*n**3*o**2*s + 47743*n**2*o**2*s - o**2 - 3*s wrt n?\nAnswer: 360*n**2*o*s - 41388*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 5*d + 10 - 47, 3*j = d + 47. What is the greatest common divisor of j and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 11*w + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 2*q**2 - 65*q + 78. Let d = 245 - 204. What is the hundreds digit of c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the third derivative of 11*t**6\/120 - 3*t**5\/20 + 8*t**3\/3 - 2*t**2 + 14*t. Let z(q) = 5*q**3 - 4*q**2 + 8. Calculate -4*g(d) + 9*z(d).\nAnswer: d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19171, 19193, 19217, 19243, 19271, 19301, 19333?\nAnswer: 19367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 399503820 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18*m**3*o - m**2*o**2 + 187*m + 42056*o**2 wrt m?\nAnswer: 54*m**2*o - 2*m*o**2 + 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1\/(8\/2338) - (-48)\/64?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 684649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 + 15*v - 17. Let o be z(-16). Let l be (3 + (-125)\/45)\/(o\/(-3)). Find g such that 0 + 2\/3*g**2 + l*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (55\/33)\/(-2 + 51\/18). Let y(l) = l**2 - l + 1. Give y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 + -30. Let o(b) be the second derivative of -7*b**5\/20 + b**3\/3 + 3*b**2 - 158*b. Let l(r) = r**3 - 1. Suppose -2*j = 2 - 0. What is h*l(g) + j*o(g)?\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (2*x**3 - 83 + 6*x - 93 + 202)*(-1 + 0 + 3) as s*x**2 + y*x + l*x**3 + q and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.13 + 0.4. Let y = m + -11.27. Let s = y - -10. What is the closest to s in -2\/15, -5, 1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from czckczkkkck?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37860 is divided by 3152.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 23998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -21 in 1, -4, -2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 20 = -k, 3*k = -5*c + 6*k. Let u be (c - 2)\/(4\/104). Sort u, 0.4, -0.5 in increasing order.\nAnswer: -0.5, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 170 is divided by 3 + (52 - ((0 - 8) + 6)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.06, -1, 1, -3\/5, -0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 - 6*h**2 + 5*h + 3. Let b be n(5). Suppose p = b, 5*z + 3*p - 105 = -2*p. Let g = 64 - z. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1736*b + 3*f = 1737*b + 21, -2*b + 3*f - 18 = 0. Let u = -3 + 5. Let o(r) = 4*r**2 - u*r**2 + 2 - 4. Give o(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3500 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 6337375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8189843 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 17*y**2 + 68*y - 950. What is the hundreds digit of t(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 39\/(-6)*28\/(-26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor o**4\/5 + 24*o**3\/5 + 63*o**2\/5 - 4*o\/5 - 84\/5.\nAnswer: (o - 1)*(o + 2)**2*(o + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 + 3*q**2 + 5*q - 2. Let p be i(4). Let v(n) = n - 2*n**2 + 4*n + n**2 - 2 + 0*n**p. Let r be v(3). Solve -r*l - l + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(825)*-1)\/(sqrt(3) - (-1*sqrt(36))\/sqrt(12) - sqrt(3)).\nAnswer: -5*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-70)\/(-6) - (-1)\/3. Suppose 40 = d + 14. Let c = d - f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-6) + 5 + 575\/15. Let k(g) = 54*g + j*g - 166*g + 40*g. Let w(i) = -4*i. Give k(w(c)).\nAnswer: 112*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4 + sqrt(200)*1 - (1*sqrt(2)*2 + sqrt(2) + -4 + sqrt(4)\/sqrt(2)))*2 + 0)*2)**2 + 5.\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 233 + -244.872. Let d = w - -12. What is d rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -4.355*4.018\nAnswer: -17.49839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 3*g - 68 = -g, -g - 31 = -3*l. Calculate the highest common divisor of 132 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 390099020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -18.308 rounded to one decimal place?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -507 - 390. Let o = u - -2397. What is o rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 21 = -9. Let w = u + 14. What is the remainder when 31 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, z: 1, k: 5}. What is prob of sequence kj?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -2*k - k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*c**2 - 634 + 634 + 10*c**3.\nAnswer: 10*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 5 (b) -5 (c) 3\/7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6063612*z**2 + 37244331*z.\nAnswer: 12127224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n. Let o(y) be the second derivative of -y**4\/4 + 10*y. Calculate r(o(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2355760569.\nAnswer: 3, 785253523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 9, i: 3, x: 4}. Give prob of sequence jxjx.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5353, 5350, 5345, 5338, 5329, 5318?\nAnswer: 5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 0 + 3)*(-u - 2*u + 0*u)*(-u**4 + u**4 + u**4 + 1).\nAnswer: -27*u**5 - 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l*l**(2\/7)*l*l)**(-38)*l**(2\/7)\/(l**15\/l) assuming l is positive.\nAnswer: l**(-1236\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 3*s**3 - 29*s**2 + 55*s + 48. What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 9, y: 4, f: 3, i: 2}. What is prob of sequence yiqi?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b\/(b*((b\/(b\/(b*b**(-2\/11))))\/b)\/b*b)*b)**(1\/17)*b**4\/(b\/(b**(-2\/7)*b)))**(-44))**37 assuming b is positive.\nAnswer: b**(-744440\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4026566 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 2, u: 3, v: 4, w: 1}. What is prob of picking 1 w, 1 v, and 2 a?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(-9) + 2\/6. Let d(n) be the second derivative of 1\/21*n**3 + 2*n + 1\/21*n**4 + 1\/70*n**5 + h + 0*n**2. Determine p, given that d(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 215966 at most 215966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/10 - (-66)\/(-210). Which is the biggest value? (a) 0.2 (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -983*-4.\nAnswer: 3932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -33, 0, 2, 0.1, -1, 40 in descending order.\nAnswer: 40, 2, 0.1, 0, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - r + 48 + 0 = 0, -2*r - 54 = -5*m. Let f be (-3)\/(-5)*(-45)\/(-9). Suppose f*l + m = 5*z - 1, -3*l + 5 = -z. Solve -l*q = -1 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w + 1. Let i = -132 + 131. Let u(t) = 2*t - 6. Let d be 3 + -34*(-3)\/(-6). Let o = d - -9. Give i*u(x) + o*l(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 417759.8ng in tonnes?\nAnswer: 0.0000000004177598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 378206, 378248, 378290, 378332, 378374, 378416?\n\"Answer: 42*n + 378164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/8*(-13 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + x = -4, 108*b = 104*b + 2*x + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 + 2*j**2 + 6*j + 25. Let p be x(-3). Let w(d) = 9*d - 1. Let f(c) = 3*c. Let r(y) = 7*f(y) - 2*w(y). Determine r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*n = 6*n + 246 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 26*177643\nAnswer: 4618718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -8225428 (base 9) in base 5?\nAnswer: -2110333433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 4717.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1861000, 3721940, 5582880?\n\"Answer: 1860940*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -427*z + 1355*z - 468*z - 460*z - z**2 + 2*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1384*-0.3\nAnswer: -415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tj when two letters picked without replacement from jxcxxxtxjtcxxxccc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 60 = 10*w. Let k be (-302)\/w - (-3)\/(-15). Solve 5*x + 10 = k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 76837, 305638, 686977, 1220854?\n\"Answer: 76269*b**2 - 6*b + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 + 10*v + 10. Let r be 10*1*(-1 + 2). Is n(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of 2\/3*y**4 - 18*y + 23\/6*y**3 + 5\/2*y**2 + 0. Let s(b) be the first derivative of q(b). Differentiate s(f) wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -3*a + 75. Let v be b(21). Suppose -v*d = 4*d - 6496. What are the prime factors of d?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5541000 rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -3*i - 32. Let x(a) = -2*a**3 + 9*a**2 + 12*a + 3. Let n be x(i). Let m = -677 + n. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = j + 4, -2*v = v - 2*j - 12. Suppose -2*g + 2 = -v. Suppose -2*a - 3 - g = 0. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of b**6\/120 - b**5\/15 + b**4\/3 - b**3\/2 - 3*b**2. Let s be (-540)\/(-100) + 4\/(-10). What is the units digit of r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 207736 - u**2 + 2*u**2 - 415618 + 207717.\nAnswer: u**2 - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -36, 7040, -3\/206?\nAnswer: 7040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-5964)\/(-35)*(-1)\/4*(-205)\/123?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2759173 is divided by 86222.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o + 65. What is the tens digit of y(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, d: 3, j: 3, s: 2, m: 2, o: 4}. What is prob of picking 2 m and 1 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 96*b**2 - 16*b - 108. Let s(x) = 95*x**2 - 20*x - 109. Let q(r) = -5*o(r) + 4*s(r). Differentiate q(l) wrt l.\nAnswer: -200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*w**3 - 55*w**2 + 1415*w - 350.\nAnswer: -5*(w - 7)*(w + 10)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -275572 or -10196173\/37?\nAnswer: -10196173\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 4164 (base 7) to base 9\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 57427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(280))\/sqrt(7))\/((5*sqrt(64) - sqrt(64))\/sqrt(8)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -17 - 8*g**2 + 17. Let i(y) be the third derivative of y**5\/30 - y**2. Determine i(l(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -909 greater than -899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 2018915 (base 10) to base 5.\nAnswer: 1004101130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -222*x + 88*x + 128*x + 68*x.\nAnswer: 62*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 5*i. Suppose 0 = -4*n - i*n + 24. Is n\/21 + (-82)\/(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = n - 0*n - 329, -2*n + 2 = 0. Calculate the remainder when ((-2)\/(-8) + (-5)\/10)*m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7966257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -306025 + -27?\nAnswer: -306050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 4. Suppose -3*g - 2 = -n*w - 8, -5*w + 5 = 0. Suppose 0 = -5*j - 15, 60 = g*r - 3*j - j. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9459 + -37835\/4. Let p = 0.03 - -2.97. Which is the nearest to 0? (a) 5 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27449, 57735, 88021, 118307, 148593?\nAnswer: 178879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -16650*h - 1764896. Calculate f(-106).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2826751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 4. Let h(z) = -z**2 - 12*z + 7. Let l be h(-11). Let v be (9\/l)\/((-6)\/(-4)). Put -3\/8, v, f in decreasing order.\nAnswer: f, v, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 668 minutes before 11:58 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What is 97416 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be -20*-2*(-1)\/(-4). Suppose 5*x = -4*d - n, 5*x - 3*d - 15 = 10. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1959*x*y**3 - 2349*x*y**2 wrt y.\nAnswer: -11754*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00015496545 rounded to 6 dps?\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-35 + -22 - 29)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1228862 less than -120.8453?\nAnswer: -1228982.8453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, -87683 in descending order.\nAnswer: -1, -5, -87683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -13826 (base 9) in base 6?\nAnswer: -111340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -67 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -9*24\/2*(-82)\/((-24354)\/33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of -f**4 - 4*f**3\/3 + 9. Find the third derivative of o(p) wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((4*sqrt(77) - sqrt(77))*-5)\/(4*sqrt(275)).\nAnswer: -4 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -14050651 less than -14050651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 108537606 to the power of 1\/2, to the nearest integer?\nAnswer: 10418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 8445110 to the nearest 10000.\nAnswer: 8450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 14 (base 11) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 30*x - 19*x**5 + 5*x + 2*x**5 - 3*x wrt x?\nAnswer: -340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 2 a when four letters picked without replacement from aaasfwyyww?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -10871640 divided by 468\nAnswer: -23230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 14361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 933665752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-6)*(-8 + 5). Sort x, -2, 1 in ascending order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2525 + -2525. Let q = -7 - -4. Sort 5, q, 4, t in increasing order.\nAnswer: q, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 730476000 rounded to the nearest one million?\nAnswer: 730000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 173842652.\nAnswer: 2, 179, 242797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-2\/17))**(-1\/17)*((l**(-14)*l)\/l*l)**(-11\/3))**(15\/4) assuming l is positive.\nAnswer: l**(206665\/1156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*i**2 + 20*i**2 + 14*i - i**2 - 14*i.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 517 a factor of 17116232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (-11 + 6)) + 0 + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8663580241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -216 + 414. Let s = f + -102. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 8*d**2 - 83*d. What is x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + -2. Let x be 1\/(0 + -4 + -3). Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, 14, 0.6, -54?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-169))\/(693\/6006)*182?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 186 - 184. Factor -1\/4*v**k - 1\/4*v + 0.\nAnswer: -v*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4.5 * -5230791\nAnswer: -23538559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = -s - 2. Let m(z) = -z**3 + z**2 - 4. Let b(n) = 2159 + 3*n**3 - 3156 - 2*n**2 + 1010. What is s*b(l) - 7*m(l)?\nAnswer: l**3 - 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zddzdzdznnzzzz. Give prob of sequence zn.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -4*c**3 + c. Let g be m(1). Let y be g\/2*4\/(-3). Sort 5, y, -3.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-1)\/4)\/((-6)\/(-4)). Let y = -6121 - -6117. Which is the nearest to -0.6? (a) y (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 508176 = -1059*b + 1107*b. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.493848 rounded to three dps?\nAnswer: 2.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -9. Let t be 5*(b - (-17)\/5). Suppose g - 3*d - 36 = 0, 3*d + 112 = 3*g - t*d. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -i, i + 40 = 3*p + 24. Let j(v) = -2*v + 15 - 21 + 0*v + p. Calculate j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1189847 plus 0.4408116?\nAnswer: 1189847.4408116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.07 - 0.076. Let d = 11022.3939963 - 11022.4. Let k = x - d. What is k rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 36\/90 - (-18)\/5. Let q(t) be the first derivative of -3 + 0*t + 1\/2*t**z - 2\/3*t**3 + 0*t**2 - 1\/3*t**6 + 2\/5*t**5. Factor q(i).\nAnswer: -2*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-5)\/15)\/((-1)\/111).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5406 + 5409. Let r(k) be the first derivative of 0*k**v - 25 - 23*k + 0*k**2 + 4\/5*k**5 + 0*k**4. Find the first derivative of r(j) wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h**2 - 18*h + 17 = 0. What is h?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13 - -22120241?\nAnswer: 22120224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18 - 67. Let p = 83 + n. Let x be -6*p\/4 + (-168)\/(-21). Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 22\/(-55) + (162\/30 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (1*(5*(sqrt(1331)*-1 + sqrt(1331)) + 4 - -3*(-2 + sqrt(1331)*-1)))**2.\nAnswer: 132*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 430 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14688*f**3 - 29592*f**3 + 14902*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2 + 1 = 0. Let y be (-2 + 12\/(-3))\/(-1). Suppose y - 1 = j. Sort -2\/11, j, r in descending order.\nAnswer: j, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {b: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + -1100010101101011100100?\nAnswer: -1100010101101011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1124 + 304?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1619005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**4\/7 - 584*v**3\/7 + 26688*v**2\/7 - 368440*v\/7 + 342332\/7 = 0. Calculate v.\nAnswer: 1, 23, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 851 + -832. Let v(d) = d**3 - 21*d**2 + 37*d + 20. Let a be v(z). Which is smaller: 30\/49 or a?\nAnswer: 30\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - -3)*1892\/6. Suppose v - 136 - y = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6981)\/286482 - 11\/209) + (-2)\/(-28). Is 1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/(-8) + 182\/8. Let k = -16 + l. Which is bigger: k or 16\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 754 and 5568.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 185 a factor of 27949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (34*q + 18*q - 21*q**2 + 23*q**2)*(4 - 5*q + 5*q - q).\nAnswer: -2*q**3 - 44*q**2 + 208*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 42\/(-9) - (-4)\/6. Let x be (-6)\/30 - 31\/(-5). What is the second biggest value in -2\/3, y, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2990.479 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -18934 (base 13) to base 10.\nAnswer: -47701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 2*(3 + sqrt(320)*-1 + 1 + sqrt(320) + -4 - (-1 + sqrt(320)*1)*1) + 2)**2.\nAnswer: -288*sqrt(5) + 1361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 154 + -46. Suppose 46 = 106*c - i*c. Which is smaller: c or -163\/7?\nAnswer: -163\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.16 in 1\/16, 3, 1468?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 29 - 24.1. Let j = 0.1 + x. Let v = 0.6 - 2.6. Which is the third smallest value? (a) j (b) 1\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2 + 2. Let l(b) be the first derivative of -23*b**3 + 126*b - 114. Let i(f) = l(f) - 4*v(f). What is the first derivative of i(m) wrt m?\nAnswer: -146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d - 11 = -51. Suppose 5*c + 25 + d = 0. Let z(f) = -f**2 - 4*f - 3. What is z(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14.6 - -15. What is the fourth biggest value in -0.5, -5, s, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3\/9)\/((-3)\/(-9)). Is 1\/11 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 12*d**2 - 27*d. Let k(s) = s**2 - 2*s. Let v(w) = -27*k(w) + 2*q(w). Let b(j) be the first derivative of 63*j**2\/2 - 463. Calculate b(v(g)).\nAnswer: -189*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 106755908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 135*d**5 + 44405*d**4 - 137345*d**3 + 144255*d**2 - 54770*d + 3320 = 0. Calculate d.\nAnswer: -332, 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1892959?\nAnswer: 541, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 4*w + 17, -2*z = 3*w - 5*w + 2. Let g be -1 - (-4 - (1 - z)). Put g, 0, -2 in ascending order.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - (-4)\/(-6)) + (-8734)\/(-33). Let i(g) = -k + 264 - 2*g. Let b(t) = 11*t**2 - 3. Give i(b(j)).\nAnswer: -22*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 30 - 27. Suppose 0*n - 3*b = 5*n - 84044, 2*b = -k*n + 50426. Let u = 60710 - n. Round u to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from btbyfyyyffqt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -12 - 4*f + 3*f - 4*f. Let t be h(9). List the prime factors of (t\/12 - 2)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5387*j**2 - 197*j**2 + 653*j**2 + j**2 + 2*j**2 - 5*j**2 - 6*j**2 + 4*j**2 + j**2 + (-3 - 3 + 4)*(-3*j**2 + 0*j**2 + 2*j**2) - j**2 - 2*j**2 + j**2.\nAnswer: -4934*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 176094267 to the nearest integer?\nAnswer: 13270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.7 + -3.3. Let g = 1.8 - -9.2. Let v = 11.5 - g. Sort v, y, -1 in descending order.\nAnswer: v, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*f - 115 + 110 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -104*l**4*p**2 - 3*l**4*p + 2*l**2*p**2 - 3*l**2 + 10*l*p**2 wrt l?\nAnswer: -2496*l*p**2 - 72*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 526*l**2*m**2 + 5*l**2*m - l**2 - 7*l*m**3 + 12*l*m - 2*m wrt m.\nAnswer: 1052*l**2 - 42*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -34743\/10 - -3482. Calculate the common denominator of r and -63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 28333, 28343, 28353, 28363, 28373, 28383?\n\"Answer: 10*w + 28323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 260 and 3040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-1)\/3 + 67\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -77479 by -180.\nAnswer: 77479\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 5*r**3 - 5*r**2 - 7*r - 4. Let x(m) = -m**3 + m + 1. Let v(t) = b(t) + 6*x(t). Let c(f) = f**3 + 15*f**2 - 5*f - 80. Let h be c(-15). Determine v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 219*z**2 - 2*z**4 - 222*z**2 + 2*z**3 - 2 + 2*z + 5*z**4 in the form b*z + t + s*z**2 + l*z**4 + x*z**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*s**5 + 744*s**4 - 5866*s**3 + 15324*s**2 - 13104*s = 0. What is s?\nAnswer: 0, 2, 3, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 1860?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -110022 - 10?\nAnswer: -110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-10)*((y**(-25)\/y)\/y)\/y)\/(y**(-17)\/y**0) assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q*q\/(q\/(q\/q**(-2\/13)*q))*q)\/(q*q**4\/q*q))\/(q**(2\/7)\/q*q)**(-1\/39))**(-11) assuming q is positive.\nAnswer: q**(-484\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (401*p**2 + 20*p**3 - 401*p**2)*(957 + 1029 - 897) to the form g*p + s + o*p**2 + n*p**3 and give n.\nAnswer: 21780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1222 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 275392165, 550784325, 826176483, 1101568639, 1376960793?\nAnswer: 1652352945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n + 1. Let p(v) = -57*v + 3. Let a(u) = 9*m(u) + p(u). Calculate the remainder when 1234 is divided by a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7543096 is divided by 246.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2 + c - 4. Let p(z) = 11*z**2 + 2*z - 11. Let y(t) = -2*t**2. Let l(a) = -p(a) - 3*y(a). Give -3*l(f) - 8*x(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*(a\/a**(1\/17))\/a)\/a)\/(a*a*a**(-10)) assuming a is positive.\nAnswer: a**(135\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*f + 6 = 46. Let d be (-137 + 11)\/(((-6)\/f)\/3). Suppose -n = 2*n - d. Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-67)\/(-336) - 6\/18. Let l = 5701\/336 + g. Calculate the common denominator of (-1)\/4 + (-81)\/(-24) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of 1\/30*f**5 + 0*f**4 + 0*f**3 - 59*f**2 + 0*f + 0. Let a(k) = 15*k**2. Determine a(x(g)).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.0569 and 61990661578?\nAnswer: 61990661577.9431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + t = -15, t - 3*t + 14 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 5*m = -18, -40*m - 12 = 3*o + 142 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/((-9450)\/60))\/(((-4)\/5)\/(-2))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.1899*-438\nAnswer: -83.1762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 7119 (base 11) in base 15?\nAnswer: 2c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29337754.\nAnswer: 2, 3467, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4917173, 4917155, 4917125, 4917083, 4917029, 4916963?\n\"Answer: -6*u**2 + 4917179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of -l**3\/2 - 11*l**2 - 17*l. Let y be k(-8). Differentiate -10*x - 1 - 10*x + 8 + y*x with respect to x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 24.6829653s to weeks.\nAnswer: 0.00004081178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2261 - -2261.04054. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -111099, -222221, -333343, -444465, -555587?\n\"Answer: -111122*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 60 = -c. Let f be (-39)\/(-2) - (-1 + c\/6). What are the prime factors of ((-507)\/52)\/((f\/32)\/(-3))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2\/4 + 33844175*k\/4 - 33844177\/2.\nAnswer: (k - 2)*(k + 33844177)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -6*a + 51. Let h(d) = 98*d + 1. Determine h(x(o)).\nAnswer: -588*o + 4999","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5\/536832641 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -145489862*u. Let s(k) = -k. Determine f(s(r)).\nAnswer: 145489862*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - y - 1151, 0 = -5*x + 4*y - 629 + 1783. What is the remainder when x is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3*(-5)\/15*-587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -13194 - -18713. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 - z**2 + 3*z + 4. Let w be p(0). Suppose -18 = -w*m + 2. Solve 0 = 2*a - 4*i + 6, 1 + m = -a - i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 93*q**2 - 14*q - 11. What is r(1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.31 - 0.096235131?\nAnswer: -0.406235131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 396635278?\nAnswer: 2, 13, 1637, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -y - 3*y + 11820, 5*o - 5*y = -29525. Round o to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -80700 rounded to the nearest 1000?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 3330 divided by 6\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3776 and 8732?\nAnswer: 139712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11*(-11)\/363)\/(64\/(-22272)*8\/6).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/((-21)\/((-48090)\/250)). Are a and 28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 128325567157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 490 = -8*f. Let v = f - -55. Suppose 0 = -2*d - v*d + 16. Solve -d*o + 2*y + 5 + 1 = 0, -5*o + 4*y + 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*n = -76*n. Solve n = k - 4*p - 9, -k = -5*p - 13 + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 48 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 2 - 18 = 0. What is the smallest common multiple of z and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*v + 16*v - 174 = 0. Sort -5, 9, v.\nAnswer: -5, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (0 + (-1 + -2*sqrt(1377) + -2)**2 - (4 + (3*(sqrt(1377) + 0) + sqrt(1377) + 1)**2)).\nAnswer: -16515 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*t - 5*y - 15 = -11*t, 3*t - y = -9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 160 and 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s + 1 + 22 = 3*l, 5*l + 4*s = 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -69*v**3 + 2*v + 1. Let c be z(-1). Suppose -2*b = 5*x - 0*b + 188, 2*x = b - c. What is the common denominator of 1\/(-3) - 249\/x and 11\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -7747*5034\nAnswer: -38998398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 42985044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/6450 and -101\/46440.\nAnswer: 232200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -7, -116 in increasing order.\nAnswer: -116, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - (-8 - (-6 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 286 and 124249125.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*c - 33*c - 75 + 74 + 7*c)*(2 + 1 - 4).\nAnswer: 34*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s**4 + 1248*s**3 - 128344*s**2 + 4836000*s - 60062500.\nAnswer: -4*(s - 125)**2*(s - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26 - -71. Suppose -9*a + 11*a = 24. What is the remainder when c is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10796.715 + -10787.6844506. Let t = x + -21.03054936. Let s = -12 - t. What is s rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -30.2 - -28.2. Let g = -0.9 + 4.9. Which is the nearest to d? (a) 3 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 63? (a) -7 (b) 0.25 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 22, -0.3599 in increasing order.\nAnswer: -0.3599, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52, 62, 22, -50, -136, -218, -278, -298?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the second derivative of -a + 0*a**3 + 0 + 3\/20*a**5 + 5\/2*a**2 + 0*a**4. Differentiate v(o) with respect to o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes before 9:42 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/952 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2\/6*3*(-10 - -295) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 180935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -5. Let i = 210 + -206. Suppose d - 4*w + 12 = -w, 3*d + 12 = w. Put d, t, i in ascending order.\nAnswer: d, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*j - 2*j + 0*j)*(-31 - 28 + 57 + (-4 + 4 - 2)*(-1 - 2 + 2) - 5 + 3 + 4)*(1 + 1 + 3)*(4 + 6 - 3) as a + d*j and give d.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(96)\/sqrt(2)*-5)\/(2*sqrt(16)\/sqrt(4) + 6*sqrt(8)\/sqrt(2)).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**27)\/(s*s**(-24)))\/(s**(2\/9)\/s*s**(1\/3)\/s*s) assuming s is positive.\nAnswer: s**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -811*v - 29535 - 13438 = 367*v - 1743 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 130411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 16) to base 15\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -1280675, 31 in decreasing order.\nAnswer: 31, -1, -1280675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -52, -201, -450, -799, -1248, -1797?\n\"Answer: -50*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -39177.\nAnswer: 4\/39177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (190\/60)\/19 + (-25)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*d**4\/5 + 462*d**3\/5 - 23868*d**2\/5 + 421362*d\/5 - 397953\/5 = 0. What is d?\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 5)*(5*d**3 + 4*d**3 - 2*d**3 + (-d - 2*d + 4*d)*(4*d**2 - d**2 - 2*d**2)).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11490*p - 103 + 5748*p + 5787*p + 103.\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -77.77979 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from sjjjjsjsissssjssjsj?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the third derivative of b**6\/120 - b**5\/4 - 17*b**4\/12 + 59*b**3\/6 - 2*b**2 - 5. Is i(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 18*j. Let i(r) = 64*r**2. What is i(w(h))?\nAnswer: 20736*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 + 25*h**2 - 40*h - 32. Calculate o(23).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 81.4*118.94\nAnswer: 9681.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 3*g = -11, -2*r + 5 = -2*g - 1. Let t be (-2)\/(-4) + r\/20*-38. Let l(z) = -11*z - 5. List the prime factors of l(t).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 183 divided by 61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*f**2 + 5*f**2 + 16*f**2 + 4*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*b**2 - 2*b**3 - b**4 + 7*b**2 + 2*b**4.\nAnswer: b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**5 + 3*n**4 - 36*n**3 + 12*n**2 + 48*n.\nAnswer: 3*n*(n - 2)**2*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4*t + 4*t + t)*(-2 + 0 + 0)*(2*t**2 + 3 - 3) + t**3 - 16*t**3 + 35*t**3)*(-5*t + 3*t - 2*t).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28\/3 - 53\/6. Let r = -3 - -3.2. Let i = 0.3 + 0.7. Which is the nearest to -0.1? (a) x (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 + 30. Let j be (-20)\/(-6)*m\/14. Suppose -z + 2*z + b = 7, -2*z - 6 = -2*b. Solve -j*p + 3 = -z*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 PM and 12:18 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**2)**48 assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1623*l**3*p**3 - 30*l**3*p*v**2 + 13*l**2*p - l**2*v**2 + 2*l**2*v - 6*l*p**3 - 22*l*v wrt l.\nAnswer: -9738*p**3 - 180*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6\/49 - -79\/245. Let f = 1 - 1.03. Let z = f + -1.97. Which is the second smallest value? (a) -0.5 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51186 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the second derivative of -k**7\/21 - 2*k**6\/15 + k**4\/3 + k**3\/3 - 14*k. Factor o(y).\nAnswer: -2*y*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) -4 (b) -2 (c) 2 (d) -5.3 (e) -2.2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (68019\/158)\/123*1\/35?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*i**4 + 8*i + 636*i**3 - 217*i**3 - 216*i**3 - i - 215*i**3 to t + q*i**4 + j*i + d*i**3 + l*i**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - -10001001010001100?\nAnswer: 10001001010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 464*i**4\/7 - 114*i**3\/7 - 2442*i**2\/7 + 3370*i\/7 - 1278\/7.\nAnswer: 2*(i - 1)**3*(232*i + 639)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve v = -4*v - 17*i + 5*i + 75, 104*v - 97*v = -3*i + 105 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*t + 15*t - 598425. List the prime factors of t.\nAnswer: 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Is -19300 bigger than -19466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x + 20*x - 174 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 - -27. Suppose 3*g + 7 = y*l + 4*g, -g + 5 = l. Suppose -2*q = q - l*a - 31, -5*q + 3*a + 50 = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3817 and 809551?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 6) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27936014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 713117.8 litres?\nAnswer: 713117800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - d = -0*b - 2, 0 = -4*b + 3*d + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 138618145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 - 11*s + 10. Let u be o(-9). Let w(v) = -36*v**2 + 28*v + 28. Let a(p) = -4*p**2 + 3*p + 3. What is u*a(j) - 3*w(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1290696 divided by -3?\nAnswer: 430232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 - 11*j + 48. What is g(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/3273848 and -1\/86?\nAnswer: 3273848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1174571 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -510.265534 to two dps.\nAnswer: -510.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -413 * 0.1.\nAnswer: -41.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 185*g**2*l**2*s**2 + 1697*g**2*l*s**2 + 950*g*l**2*s**2 - 42*g*l*s**2 + 2*l**2 + l*s wrt g.\nAnswer: 370*l**2*s**2 + 3394*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the second derivative of 23*c**5\/5 + c**4\/12 + 5*c**3\/6 + 2*c - 51. Find the third derivative of p(y) wrt y.\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12) + 2*sqrt(972) + sqrt(12) + sqrt(96)\/(sqrt(8)*-1))\/((sqrt(160)\/sqrt(4)*5)\/(sqrt(10) + -5*sqrt(160))).\nAnswer: -361*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-8 - -4 - -2)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3 (b) -157 (c) 0.533\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2015 - 2021.6. What is the second smallest value in q, 0.4, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 + 118*h + 1407. What is p(-42)?\nAnswer: -1785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 69462 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 739 = 5*h, 3*h + 59 + 370 = 3*g. Let b = -139 - h. Let o = -5 - -23. Solve 5*n - o = b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (4 + 1251 - -1) + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -20*o**2 + 7*o - 1. Let u be s(-5). Is (-14)\/49 - u\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 239155529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 578 a factor of 181492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -15*z**3 + 7*z**2 + 7*z - 7. Let t(w) = 5*w**3 - 2*w**2 - 2*w + 2. Calculate -4*b(j) - 14*t(j).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, r: 1, n: 5, g: 5}. Give prob of sequence gnrn.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2, 1741, 0.2, -135, 19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 PM and 5:11 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -319 times -3?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1262 and 5635461.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/6? (a) -1\/4 (b) 5 (c) 0 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -274\/59, 101, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of s**8\/672 + s**7\/420 - s**6\/60 - s**5\/30 - 12*s**2. Factor i(x).\nAnswer: x**2*(x - 2)*(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**3 + 6*i**2 + 8*i - 8. Let p be r(7). Put 5, p, 0 in ascending order.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 7*i**3 - 5*i**2 + 36*i + 229. What is k(-4)?\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6350712 a multiple of 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 48 by -453108.\nAnswer: -4\/37759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1681*b = -1693*b + 168. Solve -2*d + 9*d = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (21 + (-481)\/26)*(-12)\/170\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(-16\/3)*r)\/r)\/r*r)**(10\/9)\/(r\/(r*r**(7\/3))*r\/(r**8\/r)) assuming r is positive.\nAnswer: r**(65\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 42400 minus 0.01?\nAnswer: 42399.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.119 - 0.218. Let a = y - 0.001. Is a > 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 22055 + -1520. What are the prime factors of r?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15 + 19 - -8) + -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 0.1, 78, -5.\nAnswer: -6, -5, 0.1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -502*d**2*t**4 + 39*d**2*t + d*t**2 + 2*t**6 - 12*t**3 + 198 wrt t?\nAnswer: -12048*d**2*t + 240*t**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1 + -5 - (-4 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1fb23 (base 16) in base 2?\nAnswer: 11111101100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 47?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*u - 19248 = -18*u + 5*q, -q = -u + 19216. Is u <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 7, v: 1}. Give prob of picking 2 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 - 4. Let l be (-33)\/12 + (-4)\/16. Let r be l + 0\/2 - -7. Solve -3*a = r*t + 33 - 4, -p*a = -t + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-5 - -4 - -7) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 21.18 + -21. Let z = 0.2 - 0.22. Let i = z - k. Which is the closest to 2? (a) 0.2 (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 331338 + 348683. Let r = -680020.80000016 + q. Let f = 0.2 - r. What is f rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 r when four letters picked without replacement from iriiiirrrrriri?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 169.7 - 169.66. Let d = -0.02 + -1.98. Which is the third biggest value? (a) -1 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - u - 8 = 0. Solve -u*w = -w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 107*c**3 + c. What is the units digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00052699 rounded to 5 dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3a4aa + 2?\nAnswer: 3a4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1015164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -24a (base 11) in base 16?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -7\/6 greater than -59.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-558)\/(-2883)*-31 - 33\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of -g**7\/42 - 19*g**6\/210 - 3*g**5\/28 - g**4\/84 + g**3\/21 - g - 4. Let l(n) be the first derivative of u(n). Factor l(h).\nAnswer: -h*(h + 1)**3*(7*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11\/9 + 86\/63. Let f = -4 + 4. Let x = 2 + f. Which is the nearest to x? (a) -4 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1416, -847, 100, 1425?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 52701*r**2 + 880*r - 878. What is the thousands digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -5*g + 25, 0 = -2*g + 3*l - 11 + 21. Let p(t) = -210*t**3 + t**2 + 2*t + 1. Let u be p(-1). Suppose -g*x + u = 80. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -5 - 3. Suppose 2*u - t = 2. Does 26 divide (86\/6)\/(1\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 81 - -60. Suppose 3*d - 37 = z, -43 = -4*z + 2*d - q. Let c = 24 + z. Solve 4*v = 6 + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(110)\/((sqrt(90)*-2)\/sqrt(9)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16868 + -5268.\nAnswer: -22136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -1127019 by -23.\nAnswer: 1127019\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 - 4*l**2 - 4*l - 1. Let m be p(-3). Suppose -m*z = 51 - 281. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 144 - 99. Suppose 4*s = -3*i - 7, -4*i - 5*s + 0 = 8. Suppose 2*f - 4*f + 29 = i*b, 0 = -4*f + 4*b + 68. What is the remainder when p is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4033 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of q**5 + 108*q**4 - 105*q**3 + 7*q**2 - 3*q - 1989 wrt q?\nAnswer: 60*q**2 + 2592*q - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/5900 and -167\/1230?\nAnswer: 725700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*l + 3560676 = 23*l + 138*l. Does 161 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes after 3:52 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - f - 58 = 0, 0 = 4*q - 28*f + 31*f - 50. Solve 3*r = 2*x + 37 - q, -29 = -4*r + x for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -y + 516, 501 = 3*r + 16*y - 20*y. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + 4 + 2\/(-1). Let n(t) = -2*t + 3. Let d be n(c). Sort 2, 3, d in ascending order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1408324?\nAnswer: 2, 352081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of 3 - 13*u + 15\/2*u**2. Find the first derivative of v(b) wrt b.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -38615600 rounded to the nearest 100000?\nAnswer: -38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - 19 + 7. Suppose 5*m - t*y = 25, 2*y = 3*m + 3*y - 15. Suppose 3*r + 2*g = -13, 2*g + m = g. Which is smaller: r or -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 478 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 638 and 108054.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - -4. Let w(c) = c - 9. Let j be w(15). Calculate the lowest common multiple of 4 + 0*2\/j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5710 divided by 1142.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 107461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 514 divide 2039022580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3207337*m**2 - 1603667*m**2 - 1603666*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/27 (b) 2298 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 133 divide 8012260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes before 12:12 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -13, -50, -79, -94, -89, -58, 5, 106?\n\"Answer: h**3 - 2*h**2 - 38*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24519 + 24807. What is the highest common divisor of s and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 - 6.7. Let n = 19\/12 + -7\/4. Sort c, -2, n in ascending order.\nAnswer: -2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 4*v**3 - 7*v**2 + 33*v - 20. Let f(z) = 11*z**3 - 19*z**2 + 98*z - 60. Give 3*f(n) - 8*h(n).\nAnswer: n**3 - n**2 + 30*n - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -f + 1656 - 1671 = -3*o, -6*f = -o + 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 202*v - 176*v - 468. Solve -7 = 5*k + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/8424153 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-36)\/(-3)*42*1. Suppose z + 3*t = 4*t + 126, 4*z - s = t. Calculate the common denominator of 56\/9 and (-3)\/z - 3\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2087477, -4174755, -6262033, -8349311?\n\"Answer: -2087278*z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 2*s**4\/9 + 208*s**3 + 25946*s**2\/9 + 13340*s + 184400\/9 = 0.\nAnswer: -922, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2741 - 1850. Is (l - 3) + -1 - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o**2 + 4*o + 3*o - 3*o**2. Let x be h(7). Let m = -2152 - -2157. Solve -2*n - 3*s - 18 = n, -s - m = x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*t**2 - 5*t**3 - 4*t**2)*(t + t + t).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 15 = -6*f. What is the third derivative of 3*x**f - 8*x**5 - 3*x + 3*x - 8*x**2 wrt x?\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - w - 37 = 3*w, 48 = 4*l - 4*w. Suppose -l - 1 = 3*t. Let p(c) be the third derivative of c**5\/30 + 7*c**4\/24 + 5*c**3\/6 - c**2. Give p(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3595 and 395.\nAnswer: 284005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(38)\/(sqrt(6)\/sqrt(3)) - (sqrt(76)\/(sqrt(12)\/sqrt(3)))**2)*1.\nAnswer: -16 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 66610527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5.3 + 5. Let g = -613 - -616. Which is the third biggest value? (a) k (b) g (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(((-14)\/8)\/(-7)). Calculate the highest common factor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20*(-5)\/600*6*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 + 5.4. Which is the third biggest value? (a) x (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18157*g**2 + 558543*g wrt g.\nAnswer: 36314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15228973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes before 6:49 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -202?\nAnswer: -3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a = 3*a + 105. Suppose 2*h = h + 6. Calculate the remainder when a is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -8*q**2. Let i(z) = -54*z. Give i(r(v)).\nAnswer: 432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 253*z**2 + 1. Let r be c(1). Suppose -256*k + 140 = -r*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -3*h**2 + h. Let k be (-1 - 0)\/(2\/(-4)). Let v be t(k). Let n = v + 41. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(8\/7)\/((x\/((x\/(x**(-23)\/x))\/x))\/x))**20 assuming x is positive.\nAnswer: x**(3520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of -14*m**3\/3 + 5*m**2\/2 - 9*m - 4. Let f(h) = 5*h**2 - 2*h + 3. Calculate 11*f(c) + 4*t(c).\nAnswer: -c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 611.05 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, h: 9, g: 5}. Give prob of picking 1 h, 1 g, and 2 k.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.031 and 0.1.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 3*z = -14 + 15, -3*n - 2*z + 4 = 0. Let b = 1015073\/333322 + 2\/15151. Calculate the common denominator of n - (6162\/108)\/(-13) and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/(k*k\/(k\/(k*k**(-4)))))\/((k**0*k)\/k))**(-35) assuming k is positive.\nAnswer: k**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001111101 - 10101110010?\nAnswer: -1011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -3*u + 55. Let w be c(13). Let n = 64 + -36. What is the lowest common multiple of n and (w - 17)\/((-6)\/4 + 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 742061269 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 32668 + -0.11?\nAnswer: 32667.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 264 = 2*q - 0*d, -4*q + 528 = -d. Does 66 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 157 times 4?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**3 + 2*q**2 - 2*q**2)*(-2*q**2 + 0*q**2 + 0*q**2) - 1037*q**5 - 7646*q + 7646*q.\nAnswer: -1035*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -376 = -2*r + 46. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 4*x = 13, 17*q + 9*x = 4*x + 109 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14 + 21. Solve h = -m + j, -3 = 2*m + j + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 608 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/(-3))\/(19\/(-1653)). Let n be i\/9 - (-3)\/(-1). Suppose -14*h + 12 = 4*m - 18*h, m = -h - 3. Which is the biggest value? (a) 4 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/410 and -111\/8200.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -28236 times -0.0883?\nAnswer: 2493.2388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w = -3*p - 5*w + 55, 4*w - 8 = 0. Suppose 3*m + 2700 = p*m. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1289\/2368 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 378929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 22 = -23*j. Let l = 3314 - 3310. Put l, -3, j, 5 in increasing order.\nAnswer: -3, j, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-444)\/(-555) - (862\/(-10) + 2). Let a be (6\/12)\/((i\/(-30))\/(-17)). Solve 4*k + 5 = -4*t - t, a*t + 6 = -3*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -4*s + 4, -5*j + 5 = 2*s + 3. Let c be 5\/3*(j - 3). Let g = -2 - c. Solve 3*w + g = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**8*v*v**(-2\/111)*v*v assuming v is positive.\nAnswer: v**(1219\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o. Let c(m) = -4*m. Let w(s) = 14*b(s) + 3*c(s). Let u(j) = -2*j + 5. Let a(r) = -6*r + 16. Let z(h) = 5*a(h) - 16*u(h). What is w(z(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 419*k - 891338 = -863265 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 132122677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.571452 millennia to centuries.\nAnswer: 5.71452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - 9*w**2 + 3*w - 19. Let o(q) = 3*q + 2. Let j be o(-4). What are the prime factors of v(j)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 + 8. Let k = -22 - -26. Let p be g(k). Let i(n) = n**2 + 8*n + 9. Let l be i(p). Solve -2*z = -5*z + l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8 - -11. Let o(h) = -h**3 - 5*h**2 - 6*h - 7. Suppose 17*r + 16 = 13*r. Calculate the remainder when n is divided by o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-50915 + 50805)*(14\/6 - 2 - 2\/(-12))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*n**2 - 1675*n + 1008*n + 667*n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 194150228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2976 and 56170760?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 3*x - 60 - 54. Solve 0 = 2*a - x + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3, 7, -1, -5, -425 in increasing order.\nAnswer: -425, -5, -1, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -3*g**3 + 30*g**2 - 69*g + 42 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be 7\/42 - (-319)\/(-1122). Which is the fourth smallest value? (a) -2 (b) -178 (c) h (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11559657883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 139, 282, 427, 574, 723?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10621 (base 8) in base 2?\nAnswer: 1000110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -25 - -46. Let f = 55 + n. Let k(s) = s**3 + 6*s**2 - 4*s - 5. Let w be k(-6). Calculate the greatest common factor of f and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/30 and 29\/21462?\nAnswer: 107310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -x**2\/3 - 12*x - 81 = 0.\nAnswer: -27, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*n**2 + 114335331*n + 28583832.\nAnswer: 3*(n + 9527944)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 6 + -11 + (12 - 5 - (-8 - -1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((1848\/144)\/(-77))\/((-20)\/4*6\/(-18))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 250\/(-100)*(-37)\/((-30)\/6*2\/4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.242 take away -505.8078407?\nAnswer: 505.5658407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -40 + -1. Let r = g + 64. Calculate the greatest common divisor of 184 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1275 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/14 in 0.8, 5, 0.38, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(1872) + -4.\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**4 - 4*k**3 + 4*k**3 + (3*k**3 - 3*k**3 - 3*k**3)*(10*k - 3*k + 5*k) - 5*k**4 - 5*k**3 + 5*k**3)*(0 + 1 - 2) - 3*k**4 + k**4 + 0*k**4.\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 143\/59940 and 59\/2519100.\nAnswer: 93206700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 300 and 31554480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -9736456 + 1\nAnswer: -9736455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (-12 - -1) - (0 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 48 - 48. Suppose -4 - 9 = -q + r, -3*q - r + 23 = l. Suppose 0 = -5*t - c + 15, 5 = 5*t - c. Solve -3*j - 10 = -2*d, t*j - d + q = -2*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-30)\/(-35))\/(1\/35). Solve -3*p + 30 = 4*z - z, -z + k = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 3*j = 0, -3*j - 7 = 5*x + 1. Which is the nearest to x? (a) 0 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**4\/5 + 196*y**3\/5 + 6528*y**2\/5 + 77824*y\/5 + 131072\/5.\nAnswer: 2*(y + 2)*(y + 32)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/13*g**3 - 122\/13*g + 68\/13*g**2 - 192\/13.\nAnswer: -2*(g - 32)*(g - 3)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 217\/(-186)*((-76)\/(-56) + -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -99*g - 28 = -f - 96*g, 2*f + 32 = -5*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5\/55*(-2 + 0). Put 3, -2\/13, g in decreasing order.\nAnswer: 3, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 - 6*f + 7. Let g be k(-7). Suppose g = -3*p + 1 + 8. Suppose -1 = -2*j + p. Solve b - 2*r = j*b - 5, 25 = -2*b + 3*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (21*u**2 + 25*u**2 - 15*u**2)*(-u**2 - 2*u**2 + u**2)*(-8*u + 25 - 25).\nAnswer: 496*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-14) + 204\/28. Suppose -2*r = -f + 17. Let i(k) = -2*k - 6. Let v be i(r). Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 + 12. Suppose 757 - 405 = 430*s - 508. Solve -4*h = -s*m - 14, -4*h + c = -4*m - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -255*u + 18 = -253*u. Let k(r) = -r**2 + 14*r - 5. Give k(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 11:10 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6.8 - 6. Let t = -3.2 - w. Let h = -1.36 - -1.16. Which is the second smallest value? (a) h (b) t (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/6 and 79\/376.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 126 = 2*m, 5*y = 2*m - 34 - 106. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 3*h + 47. Let x(t) = -t**2 - 5*t + 7. Let k be x(-6). What is the remainder when z(-2) is divided by 21\/((k - 4)\/(-3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109 is divided by 91?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -4, 1\/8, 2\/663, -0.5, -3\/4, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 - 6. Let c = 261 + -240.1. Let i = c + -21. What is the nearest to i in 2\/5, 1\/6, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42\/90*830850\/(-60165)?\nAnswer: -58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-825*r - 384*r - 1217*r)*(2*r + 1 - 2*r + r).\nAnswer: -2426*r**2 - 2426*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 1:43 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5456\/(-12617)*87\/(-464).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4 - (-128)\/(-20))*(-3 - 2). Suppose -v + 5*v - n = 0. Suppose 0 = v*p, -8 = -c - 4*p + 5. What is the remainder when 63 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -107*o**2 + 32*o - 31. Let y(d) = 43*d**2 - 15*d + 15. Let m(q) = -2*a(q) - 5*y(q). What is m(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, -0.05, -0.5, 91381?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9046 is divided by 636.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 + 1. Is 13 a factor of (1\/o)\/((-2)\/152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 13*r - r**3 - 2*r + 6*r - 4 + 2*r + 18*r**2. Suppose -198*w + 125 = 5*l - 203*w, 45*w + 327 = 3*l. Determine b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -8. Let z be 138\/9 + 1\/h. Let f be z\/2*(-8)\/3. Is f smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + 4\/(-5))\/(4\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u*u**(-3\/2)*u*u*u\/(u**(-4)*u)*(u*u\/(u\/(u*u\/(u**7\/u)*u)*u)*u*u)**(-43))**38 assuming u is positive.\nAnswer: u**1881","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2051 = -3*f + 3*y - 422, 2*f + 2*y - 1078 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of 7*w**4\/4 - w**3\/3 + w**2\/2 + w - 1524. Determine l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -37864605 to the nearest ten thousand.\nAnswer: -37860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/j**(-5))\/j**(-2\/5))**(-16))**(-15\/2) assuming j is positive.\nAnswer: j**768","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8 + 0 + -6 + -2. Solve h + 4*x - 7 = d, 0*h - 7 = -3*h - 5*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 456425501.\nAnswer: 7, 23, 137, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(98) + (sqrt(98) - sqrt(98)*-1)*-6)*-6*-2)**2.\nAnswer: -1848*sqrt(2) + 1707553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (37 - -5)\/6 - -53. Suppose 108 = 4*q - 3*o - 2*o, 0 = 2*q + 2*o - 54. Suppose 22*d = q*d - n. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 0*x**2 - 2*x**2 + 0*x**2 + x**2 + 2 + x. Let c be 2\/(-2)*(-3 + 3). Give j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 0.08?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 4166.498ml to litres.\nAnswer: 4.166498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 + 4*x**2 + 1. Let a be m(4). Sort 2, a, 3, -2.\nAnswer: -2, a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 57057 and 653562?\nAnswer: 7189182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3)\/1)\/(2 - 1). Let w = 6.9 - 7. Let t = 152\/3 - 51. Which is the closest to w? (a) 1\/2 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 620 + -314. Find the common denominator of n\/(-28)*91\/156 and -41\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*a**5 - 2*a**5 + a**5 + (0 + 2 - 4)*(4*a**5 + 0*a**5 - 3*a**5) - a**2 + a**2 + 2*a**5 + 3036*a**4 - 39346*a**5 - 3036*a**4 - 12349*a**5.\nAnswer: -51696*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22607260.\nAnswer: 2, 5, 13, 86951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 87*l**2 + l - 1. Let i(h) = -19*h + 10 + 29*h - 9*h. Let r be i(-9). Is o(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*w, -5*w - 22 = -5*g - 4*w. Solve 1 + 9*b**2 + 2 - g*b + 1 - 8*b**2 = 0 for b.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of -2*n**3\/3 + 1. Let s(l) = -6*l + 4. Let r(y) = 8*y - 5. Let b(t) = 4*r(t) + 5*s(t). Give c(b(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1 + 0.10062. Round l to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1012012 is divided by 1363?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is p in -4*p**2 + 10704*p - 4084460 = 0?\nAnswer: 461, 2215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -28 (b) 0.2448 (c) -529 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 56660 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 32723 - 32200. Which is the second biggest value? (a) 2 (b) x (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19\/4 or 12.753?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1180235\/4 + 295061. Find u such that 3\/2 + h*u - 3\/4*u**2 - 9\/4*u**3 - 3\/4*u**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 755 - 752. What is the greatest common factor of 11 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/12*5\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48497 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/3866?\nAnswer: -3\/3866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 305 + -85. Let j(v) = -v**2 - 30*v + 403. Let f be j(-39). Let w = x - f. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p - 3*d - 79, 4*d - d = -p + 1. Let h(u) = 8 - 1 - 3 + u + 3. Let x be h(-4). Put -1, x, p in descending order.\nAnswer: p, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.4 * 7\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 111440 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12? (a) -8 (b) 0.02 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -3*b + 8. Suppose b*h - 7*h = -40. Let s be (-3)\/((-3)\/6 + -1). Solve 18 - h = -s*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*i + 21*i - 1193 = 501 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + 0. Let t be 7\/(-49) + 44\/14. Suppose -t*o - 14 = -20. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -80*h*q**3 + 103*h*q**2 - 3*h - q**5 - 2*q wrt q.\nAnswer: -480*h - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/(476\/29912) - -3. Let v = r + -443. Which is the closest to -2\/5? (a) -1 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/((-744)\/(-10))*(18 - 2150\/125). Let u = 0 + 0.2. What is the third smallest value in 3\/7, r, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -16535*t - 50019. Give m(-3).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2173002 (base 8) to base 15\nAnswer: -b9011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**2 - 33765*v.\nAnswer: 3*v*(v - 11255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, 9922, -6293?\nAnswer: -6293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71181340 is divided by 2369?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*y = -14*y - 9. Let t be (3\/2)\/y*-8. Solve -w + 0*s = t*s + 17, s = -3*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4 - 3 - (-135)\/(-21). Let w = -1\/942760 + -88888783\/16026920. Let p = w - z. Which is smaller: p or 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -49*w - 54. Let h(i) = -187*i - 215. Determine 4*h(v) - 15*x(v).\nAnswer: -13*v - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * -17.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2588 is divided by 291?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the second derivative of n**6\/10 + 3*n**5\/20 - 5*n**4\/4 + 3*n**3\/2 - 204*n. Factor q(b).\nAnswer: 3*b*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4076, 4078, 4080, 4082?\nAnswer: 4084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -11 + (-34 - 1)\/(-5) - (-13 - 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42 = 650*t - 656*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 6:51 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, -37, -115, -221, -355, -517?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2. Let p(h) be the first derivative of 0*h**3 - 2 + 1\/24*h**4 + 0*h + 1\/2*h**2. Let u(i) be the second derivative of p(i). What is u(k(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -5*j**3 + j**2. Let b(r) = -1 + 8*r - r - 3*r + 2 - r**3 - 3*r**2. Let s be b(-4). Give z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*c**3 + 5*c**2 - 24 - 10*c**2 + 7*c**2 + 2*c**3 in the form d*c + w*c**3 + h + n*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 7 = 5*u - 66, -4*u + 42 = -t. Let p = u + -10. Is p equal to -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - -6 - ((-1 - -2) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 325461, 650875, 976245, 1301571, 1626853, 1952091, 2277285?\n\"Answer: -22*o**2 + 325480*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d = 2*o - 0*d - 38, -812*o + 809*o + 57 = 65*d for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -2*d**3\/3 + 480*d**2 + 118550*d\/3 + 185500 = 0.\nAnswer: -70, -5, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -2*f**3 + f**2 + 2*f + 1. Let d be n(-1). Calculate the remainder when 2\/(-1 + d) + 29 is divided by (-2)\/6 - (-50)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-2\/5))**(-21\/8)*n*n*(n*n*n**(-3\/4))\/n*n**(-4))\/(n**(2\/5)*n*n**(-1\/5))**(-48) assuming n is positive.\nAnswer: n**(2171\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4 = -4*o. Suppose -2*a = o*z + 20, -4*a - 33 = -0*z + 3*z. Does 6 divide (-100)\/(-35)*z\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.02 and 6.981.\nAnswer: 7.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the third derivative of z**4\/24 + z**2. Let n(t) = 7*t + 1. Let v be (0 - (0 + 2))\/2. Let w(c) = v*n(c) + 3*r(c). Calculate w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 427221.\nAnswer: 3, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3694 is divided by 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j**3 - 22605*j**2 - 25785000*j - 531562500 = 0.\nAnswer: -2250, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -236128, -472257, -708386, -944515?\n\"Answer: -236129*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*v, 4*v - 12 = 3*l - l. Let g = l - -99. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 AM and 11:02 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 167692, 167693, 167694, 167695?\nAnswer: 167696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3280\/(-369) - (-11 + 2))*3. Which is smaller: a or 539\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 - 3)\/((-6)\/9). Suppose s = y*s - 4. Suppose s*i = 5*i. Solve 3*a - 4*f - 32 = i, 2*a + f = -2 + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + 11 + (-4 - -4) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bmybbbbbxxy. What is prob of sequence ymb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 1391.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 13*v - 91. Let k be z(10). Which is smaller: 38 or k?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001 + 1838?\nAnswer: 1838.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (56548\/(-6))\/((-4)\/32)*-12. Let z(q) = 689418*q**2 + 2*q. Let y be z(3). Let l = n + y. What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -69*t. Let i(n) be the third derivative of n**7\/5040 + n**5\/30 - 11*n**4\/12 + 97*n**2. Let r(m) be the third derivative of i(m). Give g(r(c)).\nAnswer: -69*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 - 4*o**2 - 2*o + 2. Let z be s(4). Let f be (-3 + 7)*(-3)\/z. Put -2, f, -1 in descending order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*p**2 + 43*p**2 + 103*p**2 + 447*p**2.\nAnswer: 625*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 4*k**2 + 13*k - 12. Let r be c(-11). Suppose 0 = 12*i - 595 - r. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2311.07 + -2311. Let w = 0.4 - 1. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 18, v: 1}. Give prob of picking 1 v and 2 t.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1de1 + -8?\nAnswer: -1de9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 15) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1941351, 3882728, 5824105?\n\"Answer: 1941377*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1965?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -5.07369353 rounded to four dps?\nAnswer: -5.0737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7 take away -1146552002?\nAnswer: 1146552009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the second derivative of -u**6\/120 - u**3\/3 - 2*u**2 + 2*u. Let m(s) be the first derivative of t(s). Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**3 - 2*k**2 - 3*k - 2. Let u be d(-2). Suppose 3*v = 4*v - u. Solve -v = 2*f - 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is e286b + 9?\nAnswer: e2874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 2. Suppose -4*y = i*v - 48, -2*y - 4*v = 7 - 37. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.13340827 rounded to 5 dps?\nAnswer: 0.13341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1.48, 1\/2, -5, 1, -782, -2 in descending order.\nAnswer: 1, 1\/2, -1.48, -2, -5, -782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -389\/90 + 41\/10. What is the closest to -1 in -0.32, u, -4, -5?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1962678167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, 1\/4, 0.319 in increasing order.\nAnswer: 1\/4, 0.319, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -f + d + 0*d = -4, 5*d = -4*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the first derivative of -c**6\/15 - 6*c**5\/5 - 37*c**4\/5 - 44*c**3\/3 + 15*c**2 + 50*c - 73. Find m, given that p(m) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 6845894*s - 8. Let h be d(3). Suppose -50359394 = -4*g + h. Let p = -1575733 - g. What is p rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8820115 less than -220.9?\nAnswer: -8820335.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 - 3 - 3)*(-147 + 62 - c + 62)*(-2*c - c + 4*c) + 0*c**2 + c**2 + c**2 to the form d + k*c + g*c**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:40 AM and 7:43 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 + 55*z**2 - 50*z - 221. Let d be k(54). Let r = -1 + 1. Sort r, -23, d in descending order.\nAnswer: r, d, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - k - 4. Let b(t) = -6*t**2 - 8*t + 82. Calculate b(s) - 9*l(s).\nAnswer: 3*s**2 + s + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 3*x - 13 + 3, -4*x + 5*c = -17. List the prime factors of (x\/(-2))\/(1\/(-14)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 644, 1333, 2022?\n\"Answer: 689*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 276130 and 40.\nAnswer: 1104520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-6 - ((-270 - -262) + (11 - 1))) + 0 + -8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the third derivative of 197*h**6\/120 + h**5\/12 - 81*h**3 - 2*h**2 - 90*h. What is the derivative of r(u) wrt u?\nAnswer: 591*u**2 + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -15*u - 13. Let a(z) be the second derivative of 1\/6*z**4 + 0*z**3 + 1 - 44*z + 0*z**2. Give a(b(r)).\nAnswer: 450*r**2 + 780*r + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 50\/51 and 17\/11.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 77 + 518586?\nAnswer: 518663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 736040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 1\/7, -10\/119?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4967 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 1 = w, 2*d + 20 = 5*w - 9. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.06 and -0.0206.\nAnswer: 0.0394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*j - 11*j. Sort -3, j, -0.3.\nAnswer: -3, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1722675 is divided by 639.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 964612919 to the power of 1\/2, to the nearest integer?\nAnswer: 31058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 28*w + 33. Let b be c(12). Let m = b + 74. Let r(j) = m - 7*j - 443. Calculate r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 294 divide 37652580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 325 - 320. Suppose 4*g + c - 3671 = 2*g, -p*c - 9170 = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 6736649, 6736643, 6736637, 6736631?\n\"Answer: -6*q + 6736655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 - 18*r**2 + r - 12. Let z be s(18). Let l(u) = 9*u - 39. Let g(b) = 2*b - 8. Let o(m) = 11*g(m) - 2*l(m). What is the units digit of o(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**2 - 7*g + 20. Let k be a(-9). Suppose 1 = -z + k, 3566 = 5*t + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 37235 + 1?\nAnswer: 37236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -5*d - 1. Let y be p(-1). Let g be (4 + -4)*1 + -36. Let v = g + 38. Put v, y, -4 in decreasing order.\nAnswer: y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 2*q**3 - 2*q**2 - q. Let a(f) be the first derivative of -1\/2*f**2 + 10*f - 1. Let p be a(9). Let k(o) = -o**3 + o**2 + o - 1. What is p*x(g) + k(g)?\nAnswer: g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*2*(-6)\/(-24)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 2*j**2 - 9646*j + 11095052 = 0.\nAnswer: 1894, 2929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 + 4*o**2 + 9*o - 1. Give c(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 30233 (base 5) to base 6\nAnswer: 12555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -39, -94, -183, -312?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.48788 * -415.9\nAnswer: -202.909292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11058 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, 0, 1.1, -2\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 324, 1, 2\/15 in ascending order.\nAnswer: 2\/15, 0.3, 1, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5.3211239 and -1.2?\nAnswer: 6.5211239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.15, -3\/8, -2\/7, 22, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 597, 2499, 5669, 10107, 15813, 22787?\n\"Answer: 634*b**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 492 in 63, -3\/4, 56?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:58 AM and 6:22 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.6 * 0.06.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -35, -54, -59, -44, -3, 70, 181?\n\"Answer: m**3 + m**2 - 29*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -72*g**3 + 8*g**2 - 9*g - 809. Let z(i) = -35*i**3 + 4*i**2 - 4*i - 405. Let j(w) = -4*x(w) + 9*z(w). Differentiate j(d) wrt d.\nAnswer: -81*d**2 + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of p**3 + 8613*p**2 + 187765 wrt p?\nAnswer: 3*p**2 + 17226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*o**2 - 12*o**2 + 35*o**2 - 10*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 - -2. Suppose 2*m = -6, y*m - 36 = -2*a - 4*m. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -10*k + 110. Let p be q(11). Solve -2*m + 10 = -p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 5*i - 10. Let d(h) = -1. Let v(g) = 10*d(g) - t(g). Let z(r) = -5*r**2 + 3*r**2 - 3*r**2. Calculate z(v(x)).\nAnswer: -125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -840 = -31*t + 11*t. Suppose 9*q + t = 123. Calculate the highest common divisor of 48 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-4)*-1)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 7, a: 2, y: 1, u: 8, s: 1, j: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 10:33 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -5*l - 2. Let s be p(-4). Suppose 0*k = -3*k - 3*h - 18, 0 = k - 2*h + s. Let z be k\/2 + 4 + 3. Solve -z*i - 4 + 0 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 623 (base 11) to base 2.\nAnswer: 1011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 107*f**5 + 180*f - 1?\nAnswer: 2140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (46 - 46 - 3*c**2 + (4*c + 4*c - 5*c)*(-2*c + 2*c - 2*c) + c**2 - 4*c**2 + 2*c**2)*(c**2 - c**2 - 2*c**3).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**2 - 6. Suppose -4*h = -14 + 2. Let p be i(h). Is p - ((4 - 3) + -263) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -18500843, 6, -5?\nAnswer: -18500843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-30)\/12)\/((-100)\/(-20)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**3 - 22*b**2 - 117*b - 199. What is c(-15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + p = 46. Let d = -79 - -81. Suppose m - d*m = -p. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -5*m + 4*k - 8*k, m + 2*k + 3 = 0. Let u = 0 + 1. Sort u, 7, m in ascending order.\nAnswer: m, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 72851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-139)\/((-8)\/4 + (-4)\/(32\/(-8))). Solve 30*u + x + 41 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -97*k + k**2 - 92*k - 105*k + 317*k.\nAnswer: k**2 + 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 + 14*y - 58. What is the remainder when g(-20) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*h - 5 = 15*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 308 and 1.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes after 2:47 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 39*f**2 + 100*f + 39*f**2 + 45*f**2 - 163*f**2 + 42*f**2 to r*f**2 + p + q*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (128\/10)\/(10\/175). Suppose 3*d = 4*s - m, -3*s - d - 13 + 181 = 0. Let n = s + -24. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 751 is divided by 729.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10894 and 134080.\nAnswer: 1743040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 55*a + 58 - 57*a - 58. Let y(m) = -4*m. What is 10*c(k) - 6*y(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9072232 and 10790.\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -719*w - 23. Let h(z) = 359*z + 11. Let q(a) = 9*h(a) + 4*t(a). Suppose 16*c + 5 = 165. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 - 4*z. Let f be ((-30)\/(-25))\/((-4)\/(-10)). Let u(j) = j**3 + j**2 + 5*j. Give f*b(c) + 2*u(c).\nAnswer: -c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1905680 divided by -40?\nAnswer: 47642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8.55298 + -19.55309. Let s = h + 11. What is s rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*p - 2*p. Solve 0 = m + p*i, -3*m - 3*i = i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2880\/17 - 2\/17*d**3 + 192\/17*d + 28\/17*d**2 = 0 for d.\nAnswer: -10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(288) + -3)**2 + 0)*4.\nAnswer: 576*sqrt(2) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 37a (base 15) to base 10\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-240)\/(-75) - 15262\/4810\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(3\/22)*k\/((k*k\/(k\/(k\/(k*k**(-14)*k*k)))*k)\/k))**(5\/11))**(2\/33) assuming k is positive.\nAnswer: k**(-435\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 102249 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 183407410441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*t - 49*t = -14576. Suppose -5*l - b + 974 = -3536, l + 2*b = t. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of 5*v**2 - v + 2. What is the remainder when g(4) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1070 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -21203 (base 7) to base 10\nAnswer: -5246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the first derivative of -239*r**2\/2 - 173*r + 148. Let u be v(-3). What is the highest common factor of 64 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 + 0. Let t be 518\/392 + (2 - (-144)\/(-70))*10. What is the fourth smallest value in t, w, 0, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 3 = -0. Let m(j) = -5*j**3 - 3*j**2 - 2*j + 4. Let w(n) = -n**3 - n + 1. Let d(t) = q*m(t) + 6*w(t). Let v be d(1). Solve v*r + 3 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b**2 - 643*b + 5951. Let x be k(9). Suppose 2\/13*c**5 + 16\/13*c**3 + 0*c + 0 + 8\/13*c**x + 10\/13*c**4 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 65565446*-0.1\nAnswer: -6556544.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 124, -5, -3, 3 in descending order.\nAnswer: 124, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jfhhk. What is prob of sequence jhk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + 0. Suppose f - 3 = w. Factor l**f - 3*l + 3*l**2 - 3*l**4 + 3*l**3 + 0*l**3 - l**4.\nAnswer: -3*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 22 = -3*m - 7, -2*a = -3*m - 45. Let q = -8 + a. Solve -3*u - 2*r = 2*r + 3, r + q = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1982 + -1946. Is 61 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 129*s**3 - 3*s - 138*s**3 + 3*s**2 - 6*s**2 + 4*s in the form c*s**2 + q + b*s + n*s**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) -2 (c) -8 (d) 0 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 159 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 48 - 47. Let t = 34 - q. What is the highest common factor of 66 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 679.54 + -719.58?\nAnswer: -40.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, -13, 2, 10, -3, -133 in descending order.\nAnswer: 10, 5, 2, -3, -4, -13, -133","meta":{"dup_signals":{},"source":"comparison__sort_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: Simplify -3 + ((sqrt(91)*-1 - sqrt(91))*3)\/(sqrt(49)\/sqrt(7)*1).\nAnswer: -6*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*z + 46*z - 43*z to b + r*z and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -322.48 times -5\nAnswer: 1612.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 39\/49 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 3 + -1 + -3 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the third derivative of 11*j**6\/120 - 5*j**4\/24 - 2*j**2 + 9. Let b(y) be the first derivative of -y**4 + y**2 - 1. Give 8*b(l) + 3*h(l).\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 241262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3464341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 128*i = 131*i + 2*n + 70, 188*i - 196*i + 3*n - 220 = 0 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the first derivative of 3*m**5\/35 - 99*m**4\/14 - 204*m**3\/7 - 309*m**2\/7 - 207*m\/7 + 3722. Factor n(d).\nAnswer: 3*(d - 69)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-2*(0 + sqrt(13)) - (-2 + sqrt(52))))**2 - ((sqrt(78)*-3 + sqrt(78))*-6)\/(sqrt(600) - -3*sqrt(600)).\nAnswer: -243*sqrt(13)\/10 + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*sqrt(700) + 3*sqrt(700))\/((sqrt(252)*1)\/(sqrt(56)\/sqrt(72))))**2.\nAnswer: 11200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-8)\/(-14)*(-587706)\/(210\/(-15))?\nAnswer: 2, 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -546, -555, -554, -537, -498?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 - -10. Let i = -7 - v. Let k = 0 - 2. Which is the second biggest value? (a) k (b) -3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 358500 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 2*k = k + 23, k - 14 = d. Let v(y) = -44329*y + 11 + 44330*y + 4 + 13*y**2 + y**3. Calculate v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(-3))\/(((o*o\/o**(2\/5))\/o*o)\/o*o))\/(o**(-7)*o\/(o\/((o*o**(2\/7)*o)\/o)*o*o*o)) assuming o is positive.\nAnswer: o**(389\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(76\/399*2\/((-16)\/(-6))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2*d + 3*d**4 + 2*d + (427 - 241 - 243)*(-5*d**2 - 2*d**2 + 0*d**2)*(-5*d**2 + 3*d**2 + d**2) as a*d**4 + k*d**3 + r*d**2 + n*d + f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 0.13, -5, -6\/17, -123?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 277\/12 - (-28 + (-1011)\/(-36))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 26 (b) 8\/7 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7285021 centimeters to micrometers.\nAnswer: 7285.021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i. Let l be k(5). Suppose 0*d + l*r = 4*d, 5*r = -d. Suppose d = 2*c - 22 + 6. Is 8 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 2*b - 31. Let w = 111 + -93. Let m be y(w). Suppose -2 = -q, -924 = -m*k + 7*q - 4*q. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 277452 and 84777?\nAnswer: 3051972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -26 + 42. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 5*f = -29, 0*f = -4*j + 5*f - 17. Let x be j*(-57)\/(-12)*2. Solve 3*h - 2*a = -0 - 4, 3*h - 5*a + x = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 720 divide 3312730080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61 + 77. Suppose n = 2*w + 6, 5*i = 2*w + 275. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 31068 + 31027 = -2*i, -2*i = -k + 25 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10133125\/164 - -61787. Let f = x + 4\/41. Which is the smallest value? (a) 5 (b) f (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-4 + 150 + 0)*-3*(-5)\/6 is divided by 87.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/(-112))\/(22\/(-1232)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 368528168136.3 and 0.1?\nAnswer: 368528168136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 36943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w - 6. What is p(20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-90)\/(-195))\/1 + 174\/(-546)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -14712570 not equal to -14712570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s - t + 139, -5*t + 119 = 5*s - 226. What is the lowest common multiple of s and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 3:13 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 396\/297*3\/46\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -45\/3753227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 7:37 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -32 at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*w**3 - 776*w**2 + 15*w - 222?\nAnswer: -12*w - 1552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -21*h + 19*h. Let n be (h\/(-3))\/(42\/(-18)). Put 4\/7, n, 2 in descending order.\nAnswer: 2, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5124*t + 1208*t - 61 + 61)*(-2 + 3 - 2) - 3*t - t + t.\nAnswer: 3913*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -20943157 less than -20943157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g. Suppose -4*z + 5*z = 0. Let q(n) = z*n**2 + 5*n**2 - 4*n**2. Calculate c(q(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.015 (b) 0.3 (c) -0.5 (d) -0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6150181.4214242 - -6150182. Let h = -0.698573 + g. Let y = h - -0.12. Round y to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 50 and 63125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 k when three letters picked without replacement from ykkkykyykoooooyto.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -8 - (11 - (15 + -6 - -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 395 is divided by (2\/3)\/((-80)\/(-2280))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8090500*x**5 - 3173117*x**2 wrt x?\nAnswer: -485430000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.97 * 0.1\nAnswer: -0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x - 5. Calculate n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -29 - -29.01. Let b = 135 - 135.0313. Let u = p + b. What is u rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 779927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -7*y + 45, 3*y - 6*y = -l - 15. Let o = 9.84 + 0.16. Let s = -13 + o. What is the biggest value in l, -5, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, f: 3, u: 1}. What is prob of sequence yuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40468 is divided by 3360?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - 7*n + 2*n)*(95*n**2 + 65*n - 65*n)*(-17 + 15 - 5).\nAnswer: 3325*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 11:03 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a**2 - 12*a + 8. Let g(f) = 5*f**2 - 34*f + 25. Let l(s) = -3*g(s) + 8*o(s). Determine l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3462 is divided by 119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 24*y - 126 - 162 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*n + 21*n - n + 9*n.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*u + 138 - 26*u - 29*u + 89*u + 10.\nAnswer: -2*u + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2. Let w(k) = 3*k**2 - 3 - 3 + 6. Give w(b(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a**5 - 2*a**4 + 2*a**4 + ((a + 2*a - 5*a)*(-2*a - 3*a + 4*a) - 16*a**2 + 39*a - 39*a)*(-2*a**3 - a**2 + a**2).\nAnswer: 26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of -h**8\/336 + 4*h**7\/525 + h**6\/150 - 3*h**2\/2 - 5*h. Let c(r) be the first derivative of y(r). Factor c(z).\nAnswer: -z**3*(z - 2)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j = 8, 2*j - 8 = 3*h - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 21930773 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 4*f**2. Let t(j) = 293*j. Determine m(t(h)).\nAnswer: 343396*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - 51. Let i = 13414444.999948 - 13414492. Let a = i - y. What is a rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -17*c*d*j**3 + 32*c*j**2 - d*j**3 + 33*d*j - j**2 wrt c?\nAnswer: -17*d*j**3 + 32*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1971 and 198850.\nAnswer: -391933350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*i - 3*b + 13, -3*b + 102 - 101 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 267419216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f**9\/f)\/f)\/(f*f*(f**(-2\/31)\/f*f*f)\/f))\/(((f\/(f**5*f))\/f)\/((f\/(f\/(f**(-7)*f))*f)\/f*f)) assuming f is positive.\nAnswer: f**(219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 306929970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5\/4? (a) -0.5 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**2 - 7*k - 3*k + 0*k + 5 + k. Let w be i(-10). Sort 40, w, 0 in decreasing order.\nAnswer: 40, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24702 and 64776878.\nAnswer: 194330634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6028 divided by -274?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 5) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001773758 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 901, -2, -3\/5, -1\/6, 1 in decreasing order.\nAnswer: 901, 1, -1\/6, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -67.6 - -68. What is the second smallest value in 1\/3, 0.7, n, -2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.83 - 2.7. Let l = 0.095 - b. Round l to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6074153000 rounded to the nearest one million?\nAnswer: 6074000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 - 5*g + 4. Let y be j(5). Suppose 6*t - y*t - 42 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -26477 * -4.1\nAnswer: 108555.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 + 7*v - 7. Let x be a(5). Differentiate -3*j**3 - 3*j**4 + 3*j**x - 2 + 0*j**3 with respect to j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -14 - (923 + -928).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - q = -4*a + 22, 2*a = -4*q + 20. Let o be -4 - 3*(-8)\/a. Solve 0 = 5*t - o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 644*k**2 - 2*k - 4. What are the prime factors of c(-1)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 - -7.5. Let i = 48 + -722\/15. What is the nearest to 1\/4 in g, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: c029 (base 15) to base 9\nAnswer: 61543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of (27\/(-5))\/((-39)\/130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 65 in increasing order.\nAnswer: -5, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6200 - 136 = 9*a. Let k = a - -707. Solve 0 = k*b - 2*z - 4, -3*b - z - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5376*0.1003\nAnswer: 539.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4*4\/4*4\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 4.1. Let f = -0.4 - t. Let p be (-3)\/6*4\/6. What is the nearest to p in 4, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.14139 (b) -2 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(119)*1)\/((sqrt(35)*-1)\/sqrt(5)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 3999*o + 156. Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 85*w - 1513. Let b(x) = -31*x + 505. Calculate -11*b(o) - 4*r(o).\nAnswer: o + 497","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3.3 in -5, -22, 31, -0.3, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -321*q + 4927*q + 2425*q to the form l*q + w and give l.\nAnswer: 7031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, w: 3, t: 1, i: 2, z: 3, h: 1}. Give prob of picking 1 t and 1 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2539)\/(-7) - (-4)\/14. Suppose 11 = 5*b - 4, -u = -2*l + b. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27623302 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: Let f = -1\/38 + 41\/114. What is the nearest to -2\/5 in -2, -7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 34 + -20. Suppose z = -m + 2. Let x = m + 14. Solve 2*u + 9 = -2*l - l, -x*u = 5*l + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 4*g - 6 - 4*g - 2*g - g. Let u be d(-2). Suppose u = -3*y + 12 + 60. What is the greatest common divisor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22 + 26 - (5 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/2)*z\/((z*z*(z\/z**2*z)\/z)\/z)*z)\/((z*z**(-5\/4))\/(z**(1\/2)*z)) assuming z is positive.\nAnswer: z**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - 1. What is the least common multiple of (-4 + -29)\/(-3) + 1 + b and (-11)\/(-2) + (-1)\/(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3019745.768 minus 88?\nAnswer: 3019657.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ffccgkkufkcckcc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3636041 is divided by 302999.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the first derivative of -2*y**6\/15 - y**4\/2 + 10*y - 10. Let t(q) be the first derivative of r(q). What is the third derivative of t(x) wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 8:32 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -25743.63775 plus -25?\nAnswer: -25768.63775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -9 + 9 - 2*f. Let m(o) be the third derivative of -o**4\/12 - o**2. Determine r(m(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7860 is divided by 3923.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 3 = 3. Suppose -20 = 2*v + 5*p, 4*v - 1 + 13 = -3*p. Suppose 4*d - 16 = -b*i, -d - i + v = -4. Solve 3*h - 9 = 3*f, h + d*f = -1 - 21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - d - 22 = 0, -4*d + 1 - 12 = -h. Suppose 3*n = -3*f + 198, 0 = 2*n + 4*f - 66 - 66. Calculate the greatest common divisor of h and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**5\/4 + 51*r**4\/2 + 615*r**3 - 18491*r**2\/2 - 1447341*r\/4 = 0. What is r?\nAnswer: -41, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (28 - 23) + -57*3. Let z = w - -381. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -308*d + 972*d - 664*d + 8*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 426953.\nAnswer: 109, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the second derivative of -95*k**4\/16 - k**3\/8 + 5*k + 81. Factor l(v).\nAnswer: -3*v*(95*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ifj when three letters picked without replacement from {j: 2, f: 9, i: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 18 = 2. Suppose -c*n - 2*f = -8, 3*f = -2*n - f + 6. Suppose 2*w - 2*y - 48 = 90, y = n*w - 349. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 130741560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 + k + 1. Let z be r(0). Which is the closest to 2\/5? (a) -1 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6293\/6 - -3148\/3. Let z(i) be the third derivative of 16*i**2 - b*i**3 + 0 + 13\/32*i**4 - 3\/80*i**5 + 0*i. Solve z(r) = 0 for r.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 + 4*f + 6. Suppose 2*g = 6 - 0. Suppose 2*i - 8 = 2*x - 0, -4*x - 16 = g*i. Let k be v(x). Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 7:05 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*v**2 - 13*v**2 - 4*v**2 + 11*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 4*f = f + 18, -f - 50 = -4*r. Is r at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -381*m**2 - 39 - 395*m**2 - 358 + 772*m**2 as j*m + f*m**2 + b and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, h: 1, s: 2, p: 2, y: 1, z: 1}. What is prob of sequence pyfh?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**2*v)**(1\/12)*(v*v**(-13))\/(v**5\/v) assuming v is positive.\nAnswer: v**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -7. Suppose 14 = 2*r + h*d + 1, 2*r - 3*d = -5. Suppose 0 = -r*y + 5 + 5. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -66 and 0.064 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) 4.4 (c) 0.02 (d) 19 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x - 9. Let a be s(-4). Let c be (3\/a)\/(-7 + (-217)\/(-28)). Sort c, 2\/9, -4 in descending order.\nAnswer: 2\/9, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -584*h + 313*h - 7380 = -301*h. Solve h*k + 6 = 245*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - b + 4795 - 1118, 0 = 3*b - 15. Let i be (1\/2)\/((-17)\/a). Let o = -50 - i. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 41*i**3 - i + 41423*i**2 + 115*i**3 - 41423*i**2 as w*i + f + z*i**2 + m*i**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 372 + 108 = -3*d, -3*z + 172 = 2*d. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 10802164 divided by 7\nAnswer: 10802164\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 232838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, -47, -164, -389, -758, -1307, -2072?\nAnswer: -3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16 + 15. Which is the third biggest value? (a) -2 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 30*w**3 - w**2 + w - 1. Does 10 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8 + 6\/12*-10. Solve -13 = 5*l - 4*y, -a*y - 28 = 4*l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -109821017679 from 0.65.\nAnswer: 109821017679.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**3 + 5*s**3 - 2*s**3)*(-s**2 + 8*s - 8*s - 2*s - 10).\nAnswer: -3*s**5 - 6*s**4 - 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 - -13. Do m and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 + 4*i**2 - 5*i + 5. Let u be x(2). Suppose -7*j = -u*j - 64. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -33*p**4 + 9 - 33*p**4 - 5*p + 4*p - 20 + 0*p wrt p?\nAnswer: -792*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 33 and 3168?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 77.3798ml?\nAnswer: 0.0773798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**2 - 16*i - 23. Let p be s(18). Let x be (27\/36)\/((-1)\/(-44)). Let j(b) = p*b - 10*b + x*b. Let l(g) = 2*g. What is j(l(m))?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**2 - 6*t - 3. Let x(o) = o**2 - 3. Let j be x(0). Let a be (-5 - j)\/(1\/(-1)). Suppose 3*d = -a*w, -5*d = -5*w + 14 + 11. Give q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 170853 and 30?\nAnswer: 1708530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2993 is divided by 505.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148203640.\nAnswer: 2, 5, 13, 285007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -6 - 4. Let j(r) = -r**2 - 6*r - 3. Let f be j(k). Find m such that -3*m**2 + 4*m**5 + 3*m**2 - 6*m**4 + f*m**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 is divided by 4\/(-26) + (-145)\/(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of 0 + 5\/6*m**3 + 0*m - 2*m**2 - 5\/24*m**4. Let t be o(2). Which is the second biggest value? (a) 2 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/3))**(-5\/4)\/((h**0*h*h)\/h)**11 assuming h is positive.\nAnswer: h**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 122871*b - 122843*b + 252 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -316769402*d**5 - 188114175*d wrt d.\nAnswer: -6335388040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8\/115 - 3\/23. Let w = -2.63 + 6.63. Which is the closest to -1? (a) w (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of a**4\/6 - 2*a**3\/3 - 5*a**2. What is the remainder when 7 is divided by q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - (2510 - 1))\/(4\/800). Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17 + 7. Let i = -6 - c. Solve -i*q + 3*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.965 - -4.465. Sort -47, -2\/9, -0.4, h in increasing order.\nAnswer: -47, -0.4, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/(-1) - (13 + -9). Suppose -c*d - 3 + 9 = 0. Solve 3*o - 4*b - 1 = -d*b, -b = 5*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 6*w**2 + 5*w. Let m = 37 + -32. Let o be x(m). Solve 0 = -3*z + 6, o = 3*b + 3*z - 2*z - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 0*k = 0. Suppose -g + 1 = -8. Solve -5*h + g + 6 = k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*c - 92*c - 46553 = 0. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 270629 - 14.307.\nAnswer: 270614.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 4524.9234 to the nearest integer.\nAnswer: 4525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 4:13 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1513482 and 790?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, -14, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2\/3 + 4\/5. Let s = n + 8\/15. Is s smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 352, 347, 338, 325, 308, 287, 262?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -7*w + 108. Let r be x(14). Solve -14*m - 20 = -r*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 + 3a68?\nAnswer: 3a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 - 55345?\nAnswer: -55354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 21*x**2 - 5*x. Let i(m) = 10*m**2 - 3*m. Let q(t) = -3*f(t) + 5*i(t). Let h(y) = -2*y**2. Calculate h(q(n)).\nAnswer: -338*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*k + 0*k + 264 - 20*k - 264.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 137727111659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(5)*-3*-2 - sqrt(5)).\nAnswer: -5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -498975, -997958, -1496941, -1995924, -2494907, -2993890?\n\"Answer: -498983*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -13 + -2 + 2 + -286 + 279.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j + 123 = -2271. Let y = j - 159. List the prime factors of y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2677041)\/(-15) - (24 + 1416\/(-60)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 8 + 4. Suppose -9*i = -o*i - 9. What is the greatest common divisor of i and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39770 is divided by 192?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 251 and 2207545.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25706011\/294 - 87436. Calculate the common denominator of f and 91\/60.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 1589 (base 12) to base 6.\nAnswer: 15453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -120311 (base 5) to base 9.\nAnswer: -6101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/(-112) - (-390)\/(-80)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2868897 to five decimal places.\nAnswer: -0.28689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(1 + 4*(1 + (-2 + sqrt(7))*3) + 4 + 0 + -2)**2.\nAnswer: -2448*sqrt(7) + 7782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/4 - 3 - 2\/4. Let w be b\/((-48)\/(-28)) + 6\/2. Factor z**2 + w*z + 1\/4.\nAnswer: (z + 1)*(4*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 86 - -2d?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -2*o**2 - 6*o - 4. Let z be h(-2). Let q(d) be the first derivative of z*d**2 - 3\/4*d**4 - 1 + 0*d + 1\/5*d**5 + 2\/3*d**3. Find m such that q(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 151454 (base 7) to base 16.\nAnswer: 72ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 10318528*-3\nAnswer: -30955584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 5*l = -16 + 21, -3*l + 5 = 2*f. Calculate the highest common factor of 3490 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + v**3 + 32*v**2 + 22702540*v - 22702540*v.\nAnswer: v**3 + 32*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 6*v + x + 7 = 0, -x = -5*v - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*d = 17*d + 120. What is the derivative of 79 - 64*n + 8*n - 72*n + d*n wrt n?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -13*r**2 + 9*r + 13. Let h(k) be the first derivative of k**3 - k**2 - 3*k - 7. Give -4*a(c) - 18*h(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: cd273a (base 16) to base 14\nAnswer: 1adda78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 47267\/25 + -1891. Let k = -28\/25 - t. Suppose 3*y = -0*y + 2*g + 146, 0 = -3*y - 3*g + 156. Find the common denominator of y and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 343 and -57.\nAnswer: -19551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -149*g + 522. Give m(4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of -o**8\/84 - 16*o**7\/105 - 3*o**6\/5 - 16*o**5\/15 - 5*o**4\/6 - 12*o**2 + 15*o. Factor t(n).\nAnswer: -4*n*(n + 1)**3*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -3*j**3\/2 + 66*j**2 + 423*j\/2 = 0.\nAnswer: -3, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes after 4:19 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the first derivative of 2*y**5\/5 + 9*y**4\/2 - 344*y**3\/3 - 180*y**2 + 679. Factor j(q).\nAnswer: 2*q*(q - 10)*(q + 1)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - -58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**0*f)\/f)**14*f*f\/f**(-2)*f*f*f**6 assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 54 and 1548?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 13660.\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 68659.1 millimeters?\nAnswer: 68.6591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 46867 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be (17\/3)\/((-1030678)\/206184 - 5\/(-1)). What is the highest common factor of k and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zizzzzizz.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -49 - -48. Is -2\/145 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 9.731147 grams?\nAnswer: 9731147000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10269 is divided by 1913?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1 - 1. Let c = t + 5.9. Sort -2\/3, 0.04, c in descending order.\nAnswer: c, 0.04, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32165128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 55 + -219\/4. Let r = 2727 + -2748. Which is the nearest to -0.1? (a) x (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2\/3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*o - 24*o = -11987892. Suppose -3999998 = 2*k - 2*y, 2*k + 2287445 = -y - o. Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 6 + 2*m - 4*m)*(36271 - 36258 + 0*m**2 + 2*m**2 - 11*m**3) in the form u*m**4 + w*m**3 + k*m + t*m**2 + v and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -240 + 237. Suppose 0 = 18*q + 135 - 45. Sort q, x, -6 in ascending order.\nAnswer: -6, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u**3 + 102853998483*u**2 - 102853998483*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: In base 7, what is -2 + 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:37 AM and 9:13 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/6 + (-164)\/6. Let q = 54 + y. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of b**7\/147 - 8*b**6\/105 - b**5\/70 + 4*b**4\/21 + 3*b + 4. Solve m(s) = 0 for s.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 527 a factor of 499596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, u: 1, s: 2, c: 1, j: 5}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -573, -4, 1, 630, 20 in increasing order.\nAnswer: -573, -4, 1, 20, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -144, -265, 1, -4, -2 in increasing order.\nAnswer: -265, -144, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) 2 (c) 0.1 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6440 - 6410. Let u(x) be the first derivative of -2\/5*x**5 + 0*x**2 + 0*x + p + 2\/3*x**3 + 0*x**4. Factor u(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 3. Suppose 3*z + 308 - 113 = 3*k, -j*z = -10. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v. Let h = 107 + -1283\/12. Let x(m) be the third derivative of 0*m**4 + 0*m + 0*m**3 + 2*m**2 - h*m**5 + 0. Calculate z(x(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of f**2 - 3. Let j(d) = d. Calculate j(o(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6335\/3 + -2076. Let z = 109\/3 - s. Which is the third biggest value? (a) -38 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 + 4*g**2 + 7*g - 7. Suppose -6*a = -11*a + 10. Suppose 2 = v, a*v = -5*r - 0*r + 29. Let p be l(r). Solve 2 = t, -4*k = -8*k - p*t + 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**3 + 4*m**2 - 4*m**2)*(-102*m**2 + 10*m**2 + 10*m**2 + 0 + 0 + m**2 + (-m + 4*m - m)*(-m + 4*m - 2*m) + m**2 - 2*m + 2*m).\nAnswer: 78*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1800 and 750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 64336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 w, and 2 v when four letters picked without replacement from viiwiaj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q + 26. Let y be f(16). Suppose 5*z - 2*z + 5*u - 6 = 0, 5*z = 3*u + y. Solve 0 = 2*t - 3*n + 1 - 6, z*n - 22 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor l**2\/5 - 383157964*l\/5 + 36702506344156324\/5.\nAnswer: (l - 191578982)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 287 divided by 1077?\nAnswer: 287\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 843\/1763 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-7))\/(j*j**(-6)\/j*j)*j**(-17)*(j\/j**(3\/17))\/j assuming j is positive.\nAnswer: j**(-309\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 155 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve j = p, -2*j + 7*j + 2*p = 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 198825, 198824, 198823, 198822?\n\"Answer: -m + 198826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 653427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -2*n + 5. Let c be y(-5). Suppose u - c = -4*u. Let v = u + -1. Which is smaller: v or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 13*q**3 + 11*q + 11. Let b(a) = 4*a**3 + 4*a + 4. Let m(k) = k**2 - 34*k + 274. Let j be m(15). Calculate j*b(r) + 4*s(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 42 = -3*r, -10*m + 13*m = -2*r + 31. Let c be 6014\/279 - (-4)\/m. What is the highest common factor of c and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 661, 1309, 1967, 2641, 3337, 4061, 4819?\n\"Answer: a**3 - a**2 + 644*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 822235907?\nAnswer: 47, 17494381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of -d**4\/6 + 11*d**3\/3 - 13*d**2. What is the remainder when 239 is divided by b(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 37\/5 of a century?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x**2 - 2*x**2 + 0*x**2 + x**2 + 0*x**2 + 0*x**2 + (4 - 4 + 2*x)*(5*x - 4*x - 3*x) - 4*x**2 - 5*x**2 - 6*x**2 in the form r + m*x + v*x**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -38348*0.1.\nAnswer: -3834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of r**5\/60 - 2*r**2. Let i(h) be the third derivative of -h**4 + 479*h**2. Calculate i(n(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 119\/28370 and 16\/45.\nAnswer: 255330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of -3 and -19398830.2022.\nAnswer: -19398833.2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 264596?\nAnswer: 2, 29, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -126.03 take away -4428.363045?\nAnswer: 4302.333045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/(h*h\/h**(-2\/11))))\/h**(2\/3)*(h*h\/(h\/h**(-1)))**(3\/4) assuming h is positive.\nAnswer: h**(50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:12 PM and 11:07 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -278*q + 2*q**2 - 267*q + 545*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41300 is divided by 386?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 - 17 = 5*s. Solve 0 = -5*f + 2*q + 17, -3*f - 3*q + 2 + s = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -960110.43 to the nearest ten thousand.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-14 - 1285557\/(-34))*4\/7?\nAnswer: 2, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r. Let z(y) = 1452826*y. What is z(h(k))?\nAnswer: -1452826*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 1361*u**2 - 4*u + 5*u + 832*u**2 - 163*u**2 in the form w + v*u + d*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the second derivative of -z**5\/20 - 2*z**4\/3 - z**3\/6 - 2*z**2 + 3*z. Let q be d(-8). Solve -r = 1 - q, 22 = 5*j - r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -124 = -8*q - 23*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 86*s**3 + 24*s - 7*s**2 - 85*s**3 - 11 + 13*s**2 + 5*s**2 + 0*s**2. What is a(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4394*s**4 + 4*s**3 - 3*s**2 + 334491?\nAnswer: -17576*s**3 + 12*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-12)\/(-14) - 1) + 16524\/126. Suppose -254 - v = -11*r. What is the remainder when 100 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 1, -0.5, -2\/7, 17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11592799 or 11592797?\nAnswer: 11592799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18*((-2)\/12)\/((-14)\/(-21)))\/(1\/(-6)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be -8*1*-1*7. Let y = d + -1290\/23. Let m = -38 + 37. Which is the second smallest value? (a) 2 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 326, 322, 320, 320, 322, 326, 332?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 6*d = -23. Suppose 4*o + d = -5. Let v be ((-91)\/2)\/o*2. Solve 3 = -4*y - v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*w + 1180635 = 8*w - 1402953. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 228 and 74252?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - 3. Suppose -7*c - 108 = -16*c. Let m be 7\/28 - 63\/c. Put m, -1, p in descending order.\nAnswer: -1, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jfjfjfojrjfjfffj. Give prob of sequence ofj.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 82 + -413\/5. Let z be ((-175)\/(-21) - -5) + -12. Sort -0.1, -4\/7, j, z.\nAnswer: j, -4\/7, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-2)*(-12)\/(-54)*135\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 512 + 94 = 53*y + 76 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 5*x**2 - 5*x - 2. Determine f(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2386103 or 2386101?\nAnswer: 2386103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 + 3\/9)*-3. Let l be (6 - (0 + 3)) + 2 - u. Suppose 7 = 5*o + v, o + o - v - 7 = 0. Solve l*p - y = 3*y, 5*p - o*y = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 303102, 303108, 303114, 303120, 303126, 303132?\nAnswer: 303138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**3 + 17*o**2 + 15*o - 11. Let k be d(-16). Put 1, -5, k, -2 in descending order.\nAnswer: k, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -0*m + 4*m, 4*m - f = 0. Sort -8, 1, m.\nAnswer: -8, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2112\/33)\/320)\/(-2*1\/34)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 355628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3 + 1407*o**2 + 5615*o + 4209.\nAnswer: (o + 1)*(o + 3)*(o + 1403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.94866 - -0.05134. Let f = 0.2 + 0.8. Let h = 0.39 + 0.01. Which is the closest to f? (a) -2\/15 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from apaappapapappppappp?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1027, -1041, -1055, -1069?\n\"Answer: -14*f - 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-11))**(18\/13)\/(f*f**(2\/117)*f*f**0) assuming f is positive.\nAnswer: f**(-2018\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 - -8. Let d(o) = -s*o + 8*o + 12*o. Let b(z) = -17*z**2. What is b(d(p))?\nAnswer: -68*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1443 is divided by 119.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -13*d**4 - 19*d**3 + 6*d**2 + 25*d + 7. Let p(t) = -11*t**4 - 18*t**3 + 5*t**2 + 22*t + 6. Let w(v) = -6*p(v) + 4*y(v). Find j, given that w(j) = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.267 + -7.097. Let g = a + 5.61. Which is smaller: g or 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -603*i + 51*i - 241*i - 185*i + 10758 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b - 911 = 4*p - 871, -17*b - 4*p - 40 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53956042 is divided by 4301.\nAnswer: 4298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 56*i**2 - 23*i - 135. List the prime factors of y(-7).\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-8\/3)*q*q**11 assuming q is positive.\nAnswer: q**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-18)*(-7998)\/(-10664)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 632*z = -630*z + 4, 3*u + 3*z = 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.305810315 to 6 decimal places.\nAnswer: -0.30581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 389 + 41. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -532609 = 756*w + 8885*w - 284604 + 359378 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 1\/519, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ezz when three letters picked without replacement from aazaaeeeze?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23163257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.14598 - -3279.85402. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -28226, -56433, -84640, -112847?\n\"Answer: -28207*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2325732403.\nAnswer: 971, 2395193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 119869379 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 -m - 3*q = -9, 0*q + 14 = 2*m + 4*q. Suppose 4*v - 4 = 5*v + 5*c, -3*v + 4*c + 26 = 0. Solve -6 = v*s - m*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggbccgvvcbggcx. Give prob of picking 4 g.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 11001010110110101100001 (base 2) to base 3.\nAnswer: 110111201011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 + 2*d**2 + d**2)*(31*d**2 - 19*d**2 + 73*d**2 + 2).\nAnswer: 85*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2 - 5 + 4 + 4*w**2 + w. Determine l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*d = 5*a - 27*d, -4*a + 2*d = -30. Let u(w) = 4*w**3 + 5*w + 11. Let v(z) = -2*z**3 - 2*z - 6. Determine a*v(s) + 2*u(s).\nAnswer: -2*s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 294402007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*p**2 - p**4 + 4*p**2)*(-206 + 239 - 379) as q*p**2 + k*p + b*p**4 + u*p**3 + a and give b.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*(f\/((f*f**(-10))\/f))\/f*f)**(-16)*(f\/f**11)\/f**(5\/6) assuming f is positive.\nAnswer: f**(-1217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 354, 744, 1136, 1530?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -5*q**4 + 385*q**3 - 3900*q**2 = 0.\nAnswer: 0, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 4 (b) 1\/6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-29716)\/(-28) - (-8)\/4. Let t = k - 43643\/42. Let x = -54\/67 - 4541\/268. Calculate the common denominator of t and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -4*y - 1. Let l(g) = -g**3 + 7*g**2 - 11*g + 8. Let k be l(5). Let r(p) = 5*p + 1. Determine k*u(j) + 2*r(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 9*u**3 - 63*u**2 - 167*u - 74. Let a(x) = -3*x**3 + 21*x**2 + 55*x + 25. Let l(z) = -7*a(z) - 2*n(z). Factor l(w).\nAnswer: 3*(w - 9)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (7\/(14\/(-10)) - -4)\/3. Let l = 1993 + -5977\/3. What is the third smallest value in l, u, -0.4, 20?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {b: 2, t: 4, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 3 = u, 284*n - 279*n + 4*u + 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of -17*o**9\/63 - o**5\/60 + 2*o**3\/3 + 2*o**2 + 14*o. Find the third derivative of b(p) wrt p.\nAnswer: -16320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 1052 = 3*p, -2*p - 51 + 893 = 4*w. Put -2, 3, 2\/3, w in ascending order.\nAnswer: -2, 2\/3, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 + x. Let j be k(0). Suppose -t + 2 + 3 = 0, j = -2*u + 3*t - 11. Solve 0 = -4*h + u*a + 6, -6 = 3*h - 6*h + a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 28*m + 118. Let n(r) = -9*r - 40. Let f(b) = -7*n(b) - 2*o(b). What is the hundreds digit of f(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -13*r + 1024. Let x(t) = -2*t. Calculate x(s(a)).\nAnswer: 26*a - 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*c + 576 = 2803 - 2261 - 1646 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(i\/(i**(-1\/8)\/i)))\/i**(-4\/5)*((i\/i**0)\/i)\/(i**(-2\/13)\/i))**(-15\/7))**(-18) assuming i is positive.\nAnswer: i**(11637\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 10958 from -70642.\nAnswer: -81600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 17*d**2 + 708*d - 546. Determine v(-43).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.079 + -2.921. Let u = 1\/168 - 349\/2184. Sort u, o, -1\/2 in decreasing order.\nAnswer: u, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 220710*i**2 + 220712*i**2 - 2*i**3 - 3 - 571*i to the form j*i**3 + g + f*i**2 + n*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2765, 11035, 24811, 44093?\nAnswer: 68881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2100102 - 210?\nAnswer: -2101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 60 by -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s - 1. Suppose -q = 14*w + 3*q - 138, 0 = w - q - 15. Calculate b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 7*k**2 - 11*k - 17. Let v(x) = -x**2 + 1 - x**2 - 5*x - 9 + 5*x**2. Let q(a) = 2*p(a) - 5*v(a). Let r = -1 + 6. Calculate q(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**2 + 4*z - 1. What is p(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.02 and -1.9.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -811 - 575 = 168*k + 462 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 80910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -96 + -48?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the second derivative of -2*h**6\/5 - 9*h**2\/2 + 15*h. Differentiate d(m) with respect to m.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 3*c + 45. Let a be w(-14). Find y such that -a + 4*y**2 + 4*y**2 + 3*y**3 - 9*y**2 + 4*y**2 - 3*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -254, -1001, -2238, -3959, -6158, -8829, -11966?\n\"Answer: g**3 - 251*g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -940 + 942. Let r(p) = -30*p**2 - p**w - 8*p**2 - 3*p**2. Let b(n) = -n**2. Give 70*b(t) - 2*r(t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 9470021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28 - -41. Let l = 10.062 - t. Let u = 0.038 + l. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 7 = -5*t, -9*t + 11*t + 126 = 5*t - 18*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2140388 to the power of 1\/2, to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 62631.07 nanoseconds in milliseconds?\nAnswer: 0.06263107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*d - 4*d - 4*d)*(-5*d + d + 0*d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60411.\nAnswer: 3, 13, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 - -16. Let g = -10 + f. Suppose -b = 0, -g*x = -0*x + b - 364. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 35 = -t. Suppose -3*w - u + t = 0, 2*w - 5 - 11 = u. Suppose 0 = -4*o + 8 + w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 78\/21 - 10\/(-35). Let i(c) = 3*c - 9. Let u be i(p). Let y = 4 + -6. Sort u, 1, y in descending order.\nAnswer: u, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -7*o - 61. Let w be x(-8). Put -3, 3, w, -4 in descending order.\nAnswer: 3, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 44\/66 + (-50)\/(-6). What is the highest common factor of a and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5338617 is divided by 2669022.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-70)\/112*4)\/((-2)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/230933450 and 113\/350.\nAnswer: 1616534150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 14*j - 93. Let i be n(7). Suppose 3*t = -6, -i*t = -5*c - 6*t + 78. Calculate the remainder when 42 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 7*x = -5, -m + 5*x + 246 = -5*m + 211 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -943786\/127 or -7432?\nAnswer: -7432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 21 - 7. Suppose -i*g + 524 = -10*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*p + 50*p = 30 - 150 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -270.6 + 236. What is x rounded to zero decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -84 - -83. Let q be -8 - 4\/b - 2. Let i be 1\/(7\/26) - q\/21. Put i, -4, -2 in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -312, -623, -934, -1245, -1556, -1867?\n\"Answer: -311*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 176546?\nAnswer: 2, 41, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 4*a = 2*t, -5*a = 4*t. Suppose t = -5*k + 84 + 286. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 625 - 611. Suppose -13 = k*t - 41. Solve -t*n + 8*n - 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-103 - 42 + 32)*(0*f - 6*f + 4*f + (-5*f + f + 3*f)*(2 - 2 + 2) + 1 - 1 - f) in the form k*f + x and give k.\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 + -5. Suppose p*x = -4*b + 660, x + 3*b + 2*b = 209. Let t = x + -97. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1163530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.045, -65.82, 4\/15, -1\/10, -5?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - c = -4*b + 77, 2*b - c - 37 = 0. Let g(u) = -8 + 19*u + 72*u**3 - 73*u**3 + 0 + 16*u**2 - b. Let h be g(17). Solve 2*f - h = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f = -1216 - 544. Let o be 138\/(-4)*f\/(-12). Calculate the greatest common divisor of 46 and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 2*a**2 - 14*a - 12. Let l be i(9). Let c be 27588\/l - ((-1)\/(-2))\/(-1). Suppose -4*u = -u, -4*u = 5*t - c. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 290 = 8*d - 3*d. Let g = -2 + d. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -7188227?\nAnswer: 7188231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 - 7*n**2 + n - 7. Let t be q(7). Let g be -23 - (-1 + 4 - 2). Let s = -95\/4 - g. Put s, 0.2, t in increasing order.\nAnswer: t, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*t - 10*u + 6 = 14*t, -u - 67 = 5*t - 10*u for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -7*u + 40. Let c(r) = -6*r**3 - 1. Let m be c(-1). Suppose 0 = 2*k - 3 - m. Calculate the highest common divisor of u and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/48)\/(100\/(-30) + 4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-2 - (3 + -3))) + (-111 - -102)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 5:12 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ndndcncncdc. Give prob of sequence ndnd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 - 26*p**2 - 21*p + 163. Calculate the remainder when 309 is divided by x(-25).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 112211111100020 (base 3) to base 6.\nAnswer: 440543010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*v = -26*v + 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10513247 is divided by 786?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3221250*b**3 - b**2 - b + 2. Suppose 2*t = 2*u, -3*t = 15*u - 11*u + 14. Let p be i(t). Round p to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5705*y + 160535 = -261635 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 39*y - 182 + 44 - 993. What is the remainder when 1969 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 - 6*v - 5. Let r be d(-4). Suppose -33 = -r*z + 3. What is the lowest common multiple of z and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes before 1:54 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 - 5*j**2 - 8*j + 13. What is l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j**2 + 4*j**2 + 0*j**2 + (-2*j + 4*j - 3*j)*(3 + j - 3) + 1 - 2 - j**2 + 5*j**2 to s*j + f*j**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -11 + c?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 983911 or 983926?\nAnswer: 983926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(7) + 3 + (sqrt(112))**2 + 0.\nAnswer: 2*sqrt(7) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 105\/76 and -113\/906.\nAnswer: 34428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m**(-1\/7))\/m*m)\/m*m\/(m*((m\/(m*m**(2\/3)))\/m)\/m))\/(m**5*m**(-4\/3)\/m) assuming m is positive.\nAnswer: m**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-24)*16\/6 + (-869)\/(-99)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 + 7*z - 6. Let r be i(7). Let m be (-105)\/10*4\/r. Let b = 43 + 13. Calculate the highest common divisor of b and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33\/(-198)*6\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3.764 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -7 (b) 3\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -3*s**5 - 21*s**4 + 1428*s**3 - 1404*s**2 = 0.\nAnswer: -26, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -2*b**3 - 2*b**2 - 5*b + 14. Let g be t(-6). Let i = 872 - g. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.058238 + -0.083935. What is n rounded to four dps?\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 - 49. What is the tens digit of f(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**3 + 21*i**2 - 7584*i - 90573. Give s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 2*n**5\/11 + 360*n**4\/11 + 16556*n**3\/11 + 32040*n**2\/11 + 15842*n\/11 = 0.\nAnswer: -89, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 702199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.4 - 1. What is the second biggest value in f, 3\/38, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -363 - -361. Let f = 176\/711 + -2\/79. Which is the third smallest value? (a) j (b) -0.5 (c) f (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 34270\/9 - 3808. Which is the nearest to -0.2? (a) t (b) 6.9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*m + 37*m - 5*j = 45, 5*m - 3 = -11*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 106 + 111 = 219. Which is the third smallest value? (a) 6 (b) -81 (c) 4 (d) i (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f + 5. Let o = -141 - -144. Let z be v(o). Suppose -z*d - y + 19 = 0, -11 - 13 = -2*d - 2*y. Solve d*p - 5*r = 3*p - 7, 5 = -5*p + 5*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 18296*f**2 - 343*f - 1. Is n(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53929300.\nAnswer: 2, 5, 539293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -199, -3886, -13895, -33388, -65527?\n\"Answer: -527*a**3 + a**2 - a + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -27, 1, 9, 4 in ascending order.\nAnswer: -27, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2235893604440 + 0.54.\nAnswer: -2235893604439.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(108) + -1*sqrt(108) + sqrt(108) + -3 - (0 + sqrt(108) + 5 + sqrt(108)))*-3)**2 + 0 + (sqrt(108) + (sqrt(108) + -1)**2)*4 + -1)*2.\nAnswer: 1680*sqrt(3) + 3966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 18 = -4*p, 8*p + 4 = 5*p + 2*n. Let v(m) = -38*m**2 + 40*m**2 - p*m - m - 4. Suppose -2*g + 4 = -2. What is v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dadzddgdzdwbdawddd. What is prob of picking 2 a, 1 b, and 1 w?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5384800 rounded to the nearest 10000?\nAnswer: 5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(2*(sqrt(102) + 2*sqrt(102) + sqrt(102)) + sqrt(102)))\/(2*((sqrt(600) + (sqrt(600)*-1 - sqrt(600)) - sqrt(6)) + sqrt(6))))**2.\nAnswer: 1377\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cycccycccccyry. Give prob of picking 3 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -10, -49, -82, -109?\n\"Answer: 3*y**2 - 48*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s - 21*s - 20*s)*(2*s - 5*s - 4*s) - 3*s**2 + 2*s**2 + 2*s**2.\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0528443 to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 4 = k. Suppose -5*i = 29 - 14. Put k, i, 0.5 in decreasing order.\nAnswer: 0.5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -97971*a**2 - a - 92262?\nAnswer: -195942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2 + 6*k + 3. Determine g(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 6\/34*2\/3*-1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -1824220 (base 9) to base 4.\nAnswer: -3321002103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 280 - 10 = 0. Determine q so that -4*q**3 + 284*q**2 + q**3 - d*q**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -124024 by -31006.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -8, -15, -32, -65, -120, -203?\n\"Answer: -k**3 + k**2 - 3*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*p - 12*r + 36, 19*r + 13 = 2*p + 58*r - 34*r for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**3 - 82567*p + p**3 + 82941*p + p**3 - 2.\nAnswer: 5*p**3 + 374*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 227262, 227226, 227160, 227058, 226914, 226722, 226476?\nAnswer: 226170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -507*m**2 - 308*m - 396987.\nAnswer: -1014*m - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s - 2. Let j be h(-8). Calculate the smallest common multiple of 2 - 2\/j*0 and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 705\/(-351))\/((-667)\/138 - -5)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (45\/9)\/(-20)*2\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n**3 + 80*n**2 + 13*n + 541. Calculate t(-40).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000204km in millimeters?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - 19*v**2 - 19*v + 29. Let u be y(-18). Suppose 280 = -42*g + u*g. Let d = -53 + g. What is the greatest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23212 divided by -4?\nAnswer: 5803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.331 + -1.031. Put 1, -29, c, 4\/5 in ascending order.\nAnswer: -29, c, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.2 - 1. Suppose 4*i - 1 + 3 = -2*c, 0 = 2*c - 2. Let q be 50\/7 + i*(-4)\/(-28). Put l, -3, q in decreasing order.\nAnswer: q, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 3*q = 1461, 2*q - 1 = q. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -11*k + 56. Let l be (-12)\/(-3) - (6 + -6). Is z(l) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 2*g**2 - 3*g - 1. Let o be n(-1). Let t(u) = 2*u - 7. Let p(k) = -2*k. Let x be p(-3). Let c be t(x). Sort o, 1, c in decreasing order.\nAnswer: c, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 355, -5409, -11173, -16937, -22701, -28465?\n\"Answer: -5764*a + 6119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -662338 divided by 135?\nAnswer: -662338\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 774 and 41986232?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 15 + -21 + -7 - (-1 - (4 - 8))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:50 AM and 5:43 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**2 - 9*s + 7. Let c be a(-9). Factor 10*k + 11*k**2 - c*k**2 + 4 + 0*k**2 - 2*k.\nAnswer: 4*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-169 + 215109\/1285)\/((-2)\/(-300)*3).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4 = 10. Calculate the least common multiple of 2\/7 + 384\/28 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 662.42684 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 67\/5 of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -149\/6547722 and 50\/22917027.\nAnswer: 45834054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 70*c**2 + 589824*c + 33704 = 0.\nAnswer: -8426, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eqex when four letters picked without replacement from {e: 7, q: 3, x: 3, d: 1}?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2671e6 (base 16) to base 5\nAnswer: -1121111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 6770913947 and -4090.\nAnswer: 6770909857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 190*h**4 + 19*h.\nAnswer: 2280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - c - 13, 8*j + 3*c - 33 = 5*j. Suppose -6*v = -2*v + j. Let z be 11 + -9 - 14\/v. Solve -12 = -3*s, -5*i - 3*s + z = -7*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/8)\/b)\/(b\/(b\/b**(5\/2)))*((b*b**(10\/3))\/b)\/b**(-1\/9) assuming b is positive.\nAnswer: b**(5\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1410850\/11 + 8642868541\/67386. Calculate the common denominator of q and -9\/4.\nAnswer: 12252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3494388 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -g - 2*f + 3*f, -3*f + 6 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -96*o - 129. Let w(y) = -6*y - 8. Let i(k) = 6*f(k) - 99*w(k). Differentiate i(m) with respect to m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (38\/(-34) + 1)*-1. Let u = -1 - -3. Let q = -1.19 - -0.19. Which is the nearest to q? (a) n (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**2 - 41*o + 192. Determine h(-43).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3097060 or 3097062?\nAnswer: 3097060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 65540979 a multiple of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*g - 19 + 1 + 2*g to o + d*g and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = -3*i + 3, 3*n - 10 = -3*i + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 235, 429, 519, 493, 339, 45, -401?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 33, 1.8, 0, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3277 divided by -3\nAnswer: -3277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 143*a - 432 = -30*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 - -27. Solve -v + u = 0, -2 = 5*g + 2*v + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rdj when three letters picked without replacement from {p: 1, d: 3, a: 2, r: 4, j: 6}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be -24 - -20 - (-1296)\/322. Let v = l + 310\/483. What is the biggest value in -1, -0.5, v, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -4486 and -2453238\/547 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (197 - 59 + 62)*(-166*t + 2 + 165*t - 6) to the form g + d*t and give g.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/n**4)**(12\/11)*n\/(n*(n*n\/n**(4\/25)*n)\/n*n)*n**31*n)**(-46) assuming n is positive.\nAnswer: n**(-341274\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h - 5. Let u = -1 + 2. Let b(g) = 3*g**3 + 2*g**2 - g. Let x be b(u). Let m be y(x). Solve -5*w + 2 = -m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -5*w - 10. Let n(t) = -3*t - 7. Let u = -12574 - -12569. Calculate u*j(p) + 8*n(p).\nAnswer: p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -580, -1154, -1728, -2302, -2876?\nAnswer: -3450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 4) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppppppbpppbbpp. Give prob of sequence pbp.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 3*x**2 - 5. Let r(z) = 935*z**3 - 60*z**2 + 1065. Let f(g) = -20*b(g) - r(g). Differentiate f(n) wrt n.\nAnswer: -2805*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (8 - 5)*1\/1 - 0. Suppose -n + 138 = 4*b, -o*n + 3*b = -0*n - 489. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 41 and 9152266.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 + 9*k - 5. Let b be z(8). Suppose -2*f - 19 = -g, 0 = -g - b*f - 2 - 4. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -11969, -23555, -35139, -46721, -58301, -69879, -81455?\n\"Answer: c**2 - 11589*c - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6304311 and -0.12.\nAnswer: 756517.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 2 = 2*y, -2*y = 3*b - b - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -12*v + 30. Let n(o) = -13*o + 31. Let r(p) = -4*n(p) + 5*u(p). What is the smallest common multiple of r(3) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 109 - 108.99565. Round t to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 38*a + 231. Let g be i(-6). Suppose -g*c - 192 = -4*v, -2*v + c + 59 = -39. Is v less than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1253092415?\nAnswer: 5, 4093, 61231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 6. Suppose -440*p + 436*p + 8 = 0. Which is the second smallest value? (a) 2\/5 (b) p (c) -0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -22.102 - -22.072701. What is c rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1461094 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -171606 > -858032\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the third derivative of -s**8\/3360 + s**7\/560 - s**6\/240 + s**5\/240 + s**3\/2 - 3*s**2. Let g(r) be the first derivative of l(r). Factor g(a).\nAnswer: -a*(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/35756 and 85\/10216?\nAnswer: 71512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -4*t**2 + 13*t + 12. Let d be m(6). Let g = -45 - d. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 3*z + 87 = 0. Let m = -95 - z. Let p(f) = f**3 + 8*f**2 + 4*f + 8. Calculate p(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -657 + 662. Solve -2*k = -7*k - 5*i, -8 = k + u*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/3769294 and -69\/10690.\nAnswer: 18846470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -10903\/70 equal to -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 74576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 1622 (b) 4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 83 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1321860757.\nAnswer: 7, 53, 3562967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iirrrinnirriniirniii. Give prob of sequence niir.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-37 + 1166\/44)*8\/6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 532845 take away -26812752?\nAnswer: 27345597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16 + 36. Suppose -5*w = -7*w + 100. What is the greatest common factor of w and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = -7*t - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3666 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 30485 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b**2 - 9*b - 74. Let v be r(13). Let h = v + -145. Solve h*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 33*n + 29. Give c(-8).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - -13. Let x = -22 + h. Which is smaller: 3\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -650, -1303, -1970, -2657, -3370, -4115, -4898?\n\"Answer: -w**3 - w**2 - 643*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/11, 0.5, -8, -0.1, -0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 12091.148 * 0.5\nAnswer: 6045.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 6) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1772*o*u**3 - o*u**2 - o*u - 126*o wrt u?\nAnswer: 10632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -4, 0.5, -4\/421, 3?\nAnswer: -4\/421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -511*k**2. Let p(z) = -383*z. Calculate p(v(m)).\nAnswer: 195713*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**2 + 1. Let z(c) = 47*c**2 - 74. Let p(a) = 2*f(a) + z(a). Differentiate p(i) wrt i.\nAnswer: 98*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 - 13)*(22*v**2 - 2*v**4 - 22*v**2).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 45 and 183849.\nAnswer: 2757735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g\/g**(1\/19)*g))**(-18\/7)\/(g\/g**(-22\/9)*g*g**0))**(-19) assuming g is positive.\nAnswer: g**(2404\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -272 divided by 63\nAnswer: -272\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -0.088?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 37 - 37 - 13*w + (0 - 4 + 2)*(1 + 1 - 1)*(3 - 1 - 4)*(-4*w + 5*w + w) - 3*w + 0*w + w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 101?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 3*a**2 - 4476*a + 13374. Give q(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -42755*d*f*n**3 + 2*d*i**2*n**2 - d*i**2*n - 23*d*i - 2*d*n**2 + 3655*d - 7*f*i**2*n**2 - 2*n**3 wrt f.\nAnswer: -42755*d*n**3 - 7*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rhrr when four letters picked without replacement from {h: 2, j: 3, g: 1, q: 1, r: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8276*i**2*m**2*p + 52*i**2*m - 52*i*m*p - 217*i - 139*m**2*p + 2*m**2 - p + 1 wrt m?\nAnswer: -16552*i**2*p - 278*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -76? (a) 5 (b) -4 (c) -17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -38 - 5 - (48 - (-55 - -76))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 31 divided by 18?\nAnswer: 31\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*p = -2557 - 5793 - 218. Calculate the greatest common divisor of p and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 728.\nAnswer: -1\/728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2537 (base 15) to base 7.\nAnswer: 32053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 64707 or 64676?\nAnswer: 64707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/28944 and 67\/8448?\nAnswer: 5094144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u - 1. Let m(r) = 386668*r - 36. Let p(y) = -m(y) + 8*q(y). Let t be p(3). What is t rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -1 and 828265.\nAnswer: 828264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.2 - -3.2. What is the third biggest value in 5, -1\/2, t, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -121 (base 9) to base 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2\/9))**(-2\/95)\/((v*v**(1\/2)\/v*v*v)\/v*v)**(-23)*v*v**(-2)\/v*v\/(v*(v*v\/v**(-6\/5))\/v)*(((v*v**(-1\/2))\/v)\/v)**(13\/8) assuming v is positive.\nAnswer: v**(695863\/13680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -z. Let p(a) = z*a**2 - 3 + 0*a - 2*a - 4*a**2 - a**3. What are the prime factors of p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3657.\nAnswer: 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1079484 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 4*y + 3*y)*(-2008 - 1929 - 195 + 977).\nAnswer: -15775*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65961955.\nAnswer: 5, 17, 31, 25033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.7 - -1. Let k = -0.057 - -0.157. What is the closest to k in -1, w, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5232709 or -5232708?\nAnswer: -5232708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 440 and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*q = 3*u + 36*q + 15, u - 3*q + 13 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 19*m - 1 - 2 + 5 + 1. What are the prime factors of c(2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36\/684*323*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -6 + 2 + -4 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be -5*(-3 + (-2 - -4)). Suppose 0 = 3*n + j*b - 104, n - 3*b + 168 = 6*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -536244.8319 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(100)\/sqrt(4))\/sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4))*2)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1765385114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*0\/1*(-7)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 0*i + 7 = 5*z, z = 5*i - 17. Suppose 0*u - 2*u = -i*a, -4*u - 3*a = -11. Calculate the least common multiple of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hrpaaahfaapap. What is prob of picking 1 r, 1 h, and 1 p?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 1:35 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**2 + 64*h - 20. Give c(-32).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30606 - 29815. Calculate the remainder when l is divided by 258.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 289961524?\nAnswer: 2, 599, 121019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**2 - 4*a + 3. Let i be c(4). Let z = i - -18. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -71\/381 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832)*-3)\/(sqrt(4) + sqrt(4)*2*3) + 5.\nAnswer: -12*sqrt(13)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 0.03 (c) -3\/20 (d) 4 (e) -2\/13 (f) 2\/65 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 7 * -1149\nAnswer: -8043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.8 - 3.7999958. What is j rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2c1 + 5?\nAnswer: 2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 4*h + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m**2 + 4*m**2 + 3*m**2 + (-14*m**2 + m**2 - m**2)*(-1 + 4 - 1) to the form s + c*m**2 + z*m and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.011109 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 15247519033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 13 and -1690.\nAnswer: -21970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 142 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*q + 3*d + 177 = 87*q, 5*q + d + 51 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, e: 1, d: 1}. What is prob of sequence de?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 4379 + (-14 - (-105)\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 11*t - 707. Give f(81).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 5)*(-4 + j**2 + 4) + (1 + 2*j - 1)*(0*j - 3*j + 5*j) - 2*j**2 + 0*j**2 + 4*j**2 - 5*j**2 + 3*j**2 + 3*j**2 - j**2 - 5*j + 5*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -802\/3 + 268. What is the nearest to c in 1, 70, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 576172 by 144043.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1.154668 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 1)*(2*a**2 - 2*a**2 + 3*a**4)*(2 + 4 - 2).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be 11 - ((-9)\/21 - (-90)\/14). Suppose -46 = -a*f - n, 0 = -8*f + 9*f - 3*n - 22. Calculate the highest common divisor of f and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 11 - 15 = 0. Is 4474\/b*9\/((-81)\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 + 14. Let j be 12\/q*20\/6. Solve j = 2*a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z + 28. Let s be 38\/8*(6 - 2). Let v be b(s). Suppose v*r - 10 = 4*r. Solve -2*q + 28 = 5*l, 4*q + r*l - 24 = -0*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 483118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19 + -18. Let y be ((-5)\/(-5))\/n + 4. Solve y*t - 29 = -9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 143979484.\nAnswer: 2, 11, 1399, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5753 - -11607. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 524 + 256 + 111*t**3 - 2*t**3 + 160*t**3.\nAnswer: 269*t**3 + 780","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 0 = -5*c + 5, -2*c + 25 = 5*o. Suppose c = u - 1 - 3. Suppose -u*p - 136 = d - 3*d, 5*p = 3*d - 203. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 171 = -5*x + 3*b, 6*b + 1135 = -x + 1114 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 3*m - 241 = 431, 5*s + 1718 = -2*m. Let f = s + 344. Factor 4\/19*p**f + 0 - 2\/19*p**3 - 2\/19*p.\nAnswer: -2*p*(p - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 0 - 3 - (0 + -4 - 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/15*(-90)\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10586 and 1224492?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -131 (c) 0.24 (d) 2\/11 (e) -4 (f) 1\/10 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 8780 - 31420995.8?\nAnswer: -31412215.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 - 11*r - 2*r**2 - 76 + 71. Let w be ((-21)\/(-6))\/(1\/(-2)). Is 9 a factor of h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 501b (base 13) to base 16\nAnswer: 2b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -27*t. Let q(u) = -51*u**2 - 54*u - 27. Let g(x) = -4*x**2 - 4*x - 2. Let v(n) = -27*g(n) + 2*q(n). Calculate f(v(y)).\nAnswer: -162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.1 + 3. Let u = 0.0097 + 2.9903. What is the smallest value in -4, m, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:53 PM and 5:14 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z**5 - 3*z**5 + 6*z**5 + (2*z**2 - 3*z**2 + 7*z**2)*(-23 + 4*z**3 + 23).\nAnswer: 25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/2 - (-1)\/2. Suppose 3*f + 12 - 6 = j. Is 18 a factor of f\/5 - (-724)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 4 - 1 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 306 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -6*l**2. Suppose -4*q + 20 = -4*d, -5*q - 2*d + 32 = -0*d. Suppose -q*h = -26 + 2. Suppose -5*f + h*n + 21 = 0, f + 3*n = -0*n - 11. Give u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert a86d84 (base 16) to base 11.\nAnswer: 625a092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 56*i - 7. Let n be y(2). Let p be n\/14 + 1\/2. Let k(m) = -9*m - 3*m + 0*m + p*m. Let t(q) = 2*q. Give t(k(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4424171, 8848344, 13272517, 17696690, 22120863?\nAnswer: 26545036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 201162 less than 5?\nAnswer: -201157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum 36210282 and 0.04443.\nAnswer: 36210282.04443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 176\/(-132)*(-9)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 - -11. What is the remainder when 18 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2225*i**2 + 2*i - 2166 wrt i.\nAnswer: 4450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 + -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 317 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) -1 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -216 - -221. Let q = -160 - -160. Solve -2*y - 3*n = -7*n + 16, y - g*n + 14 = q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100110110110010 + 1?\nAnswer: 100110110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, p: 5, e: 1, b: 3, g: 1, f: 1}. What is prob of sequence gfeb?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 627 and 495?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6904 - 6908. What is the closest to 0.2 in 2, 5, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*(-8 - 14\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2991 * 0.55\nAnswer: -1645.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 21*r - 4. Suppose -5 = -0*m + 5*m. Let d(v) = -13*v**3 + v**2 + 3*v + 2. Let n be d(m). Is b(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j**2 + 130228*j - 130228*j - 5*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 42, 21, 22, 51, 114, 217?\n\"Answer: p**3 + 5*p**2 - 43*p + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 11.8925069 - 395599.\nAnswer: -395587.1074931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4889 or -4888?\nAnswer: -4888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 10*c - 79. What is t(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.9 + -0.1. Let l = 1 - a. Let t = -2.1 + l. Which is smaller: t or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2645 + 7257 = 331*p - 31798 for p.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 11:40 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 2. Suppose 2*z + 444 = u*z. Is 2*(-3)\/(-12)*z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -9154 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 211980*l + 2958 = 211922*l for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 11.46 * -0.13\nAnswer: -1.4898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2 + 18. What is v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10658 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.37106 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 16 = 3*v, 0 = -0*v + v + 3*o - 8. Suppose -2*u - u = -2*m + 6, 61 = v*m + 4*u. What is the lowest common multiple of 6 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29612, -29613, -29614, -29615, -29616?\nAnswer: -29617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 divided by -6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -237691*a + 4*n - 143 = -237684*a, -110 = 5*a + 5*n for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 499 + -500. Let d = 1.1 - 1. Sort -2\/11, 4, d, b.\nAnswer: b, -2\/11, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 39437*t + 5915580. Determine o(-150).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 12\/7 + 2\/7*b**2 + 10\/7*b.\nAnswer: 2*(b + 2)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 31 + -24. Let j = a + -8. What is j rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -332 + 12 = -4*w. Suppose 3*b = 5*z - 74, 4*z = -5*b - 2 - 72. Let j = b - -34. What is the highest common factor of j and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24617.603 rounded to the nearest 10?\nAnswer: 24620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1461402 (base 7) to base 8.\nAnswer: 606220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 0*x + 5612 = 5*q, -4*q - 5*x + 4487 = 0. Suppose -4*b + 5*h = -911, -2*h = -5*b - h + q. What is the highest common divisor of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = 3*j - j + 12, j = -b - 2. Let p = j - -1. Let g(o) = o**2 + 5*o. Let f be g(-5). Solve -m + 2*v = -11, f*m = -m - p*v - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 9 = -0. Suppose x*h - 7*h = -28. Suppose 3*t - c = h, c - 3*c = -2*t + 6. Solve t = -0*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19255 + 20496. Calculate the highest common divisor of v and 1679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m. Let o(h) = 58*h**2 + 85*h. What is i(o(n))?\nAnswer: 58*n**2 + 85*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -33 (base 5) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3027877\/340 + 157020\/17. Let p = o - 331. What is the fourth biggest value in p, -3, -0.2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 + 14 - 1 + (6 - 5 + 4)*(1 + 3 - 2))*(2*a - 4*a + 3*a) to p + d*a and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.3 + -0.2. Let s = 186 - 184. Which is the second smallest value? (a) s (b) t (c) -2\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332169383 to the power of 1\/2, to the nearest integer?\nAnswer: 18226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**8\/(y**9\/y)*y\/(y**(-10)\/y)*y*y\/((y*y\/y**6*y)\/y) assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.06 - -1.94. Let l = 5 - u. Is -0.1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 397*d**2 - 455*d**2 + 418*d**2 + (-10 + 10 + 7*d)*(-2*d + 2*d + d) + d**2 - 7*d**2 + d**2 in the form x*d + f*d**2 + m and give f.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 179 + -82. Suppose 0 = 2*k + 3*k + 4*f - 236, 2*k - f - c = 0. Let r = 2181 + -2168. Calculate the remainder when k is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3*u**2 + 3*u - 13. Let p(y) = 10*y**2 + 10*y - 38. Let s(t) = -7*h(t) + 2*p(t). Calculate s(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*w - 2*w - 4*w)*(14 + 21*w + 23*w - 52*w).\nAnswer: 8*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4633.999991892 + -4634. Round u to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -5 + 11. Solve f*p = -3*p - 4*o + 13, -37 = -5*p + 4*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bcbw when four letters picked without replacement from wwbbwccbcwwwbwbc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + -1)\/((-17)\/357). Suppose 0 = -7*b - 56 + w. Let o = 63\/2 + -321\/10. What is the second smallest value in o, b, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (6 + -2)\/(114\/(-39) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 2 = 0, 46*g - 21*g - 26*g = 4*p + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9221 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-29 - 22*l + 29)*(0 - 1 + 3)*(3*l - 18*l - 21*l + (2 - 2*l - 2)*(-3 - 3 + 5)).\nAnswer: 1496*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (4*a**3 - a - 8*a + 8*a)*(-3*a + 0*a + a) in the form q*a**3 + g*a**2 + w + k*a + c*a**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*u - u**4 + 0*u)*(1 - 1 + 2) + 3 + 4*u**4 - 5*u**4 - 2 to the form d*u**4 + p*u**2 + g*u**3 + j*u + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-105)\/(-120) + -1)\/(30\/(-16)). Which is the second smallest value? (a) 3 (b) 11\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2906478036 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -272 + 485. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1141143 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 303 - 300. Let z be 4\/(1\/(-5)*-2). Let s = 1 + -1. Solve -2*k - z = -i, q*k - 4*i = -s*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*f - 13*f + 252. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -126, -129, -132, -135, -138?\n\"Answer: -3*p - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + -9 + (-1 - 0) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 89783469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 + -5. Sort s, 3, -5 in descending order.\nAnswer: s, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 + 11. Let k = -14 + t. Solve k = 3*s + 2*s - 5*y + 5, y = -s + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.7 + 0.4. Let n = 0.7 - z. What is the nearest to 2\/5 in n, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*p - 2*p + 3*p - 2*p + 0*p + 3*p + (2 - 1 - 3)*(-p - 2 + 2) + p - p + 3*p + 9*p - 14*p + 0*p + (-1 + 5 - 1)*(4*p + 4*p - 6*p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Calculate 6920976 divided by 1730244.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be 376\/(-141) - (21\/9 - 4). Is n at most as big as 2\/17119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10106, -20528, -31164, -42008, -53054, -64296, -75728, -87344?\nAnswer: -99138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 6914956 divided by -4\nAnswer: -1728739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 105 and 468160.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15197?\nAnswer: 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -13. Which is the closest to 1? (a) 0.3 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13763 (base 8) in base 13?\nAnswer: 2a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**3 - 3*i**2 + 10*i + 23. Let m be w(-4). Let o(a) = -a**3 - a**2 - a. Let c(v) = v**3 + 2*v**2 - 2*v. What is m*c(k) - 2*o(k)?\nAnswer: k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9919 divided by 13.\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1135818 and 1602?\nAnswer: 1135818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 1237 * 18.\nAnswer: 22266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 31 = 38*v - 34*v, 0 = 2*m + 5*v + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -7935*c + 468171. Give b(59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -137*f + 98*f + 136617. List the prime factors of f.\nAnswer: 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 + 4*b**2 + 6*b + 7. Suppose 282*m - 251*m = 651. What is the least common multiple of m and n(5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7418 by -12214.\nAnswer: -3709\/6107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 5023474 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1302728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 15 = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**2 - 57*s - 14122. Determine n(101).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 5*t - 14291 - 9940, 5*t + n = 24239. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 2*l + 507. Let x = -73 - l. Let m = x - 34. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -320, -5, 3, 11 in increasing order.\nAnswer: -320, -5, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-3\/2))**(-8\/3))**(-24) assuming y is positive.\nAnswer: y**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 4*y - 38110 = 0, 7*r - 25380 = 5*r + 4*y. What are the prime factors of r?\nAnswer: 2, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 499, 1678, 2857, 4036, 5215?\nAnswer: 6394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6\/23 - 13\/138. Sort y, -1, -3.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 4 + (sqrt(80) - (sqrt(80) - (-2*sqrt(80) + sqrt(80)))))**2*-4 - ((sqrt(80)*3 + 5)**2 - (-3*sqrt(80) + -3)).\nAnswer: -1132 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38590?\nAnswer: 2, 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -17*u + 84. Let c be n(5). Sort 10, 0, 2, c.\nAnswer: c, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 10*o**3 - 21*o + 2 + 36*o - 16*o wrt o?\nAnswer: 30*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 + 10420\/(-210) - -34)*30\/(-48).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (((sqrt(9) - (2*sqrt(576) + sqrt(576) - sqrt(576)))*6)\/((4*sqrt(48))\/sqrt(4)))**2 + 3.\nAnswer: 6155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {a: 1, u: 2, s: 1, n: 2, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -464*h**2. Let u(t) = -2248*t. Give u(b(k)).\nAnswer: 1043072*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 13615 or 13614?\nAnswer: 13615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82 = v + 80. Suppose 3*w - v*d = -19, -2*d + 2 = w - d. Let h(r) be the second derivative of r**5\/20 + r**4\/4 + r**3\/3 - 3*r**2\/2 + 25*r. Give h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 547995561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -260035 (base 7) in base 6?\nAnswer: -1010234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/6)\/(21\/(-315))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2833044 * 5.6\nAnswer: -15865046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes before 6:14 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -5*g - 130. Determine l(-31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.503 * 1292406\nAnswer: -650080.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-58)\/(-12) - (-20)\/(-24). Solve 8 = q*r - 0, -v + 3*r = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-382 - 3)*(2 - 3). What is the derivative of -237 - 27*q - 26*q + y wrt q?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -3*t**2 - 7*t - 7. Let k(a) = -2*a**2 - 4*a - 4. Let y(h) = h**2 - 14*h + 26. Let n be y(11). Calculate n*k(g) + 4*c(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the first derivative of -33*m**4\/8 + m**2\/2 + m + 137. Let s(n) be the second derivative of p(n). Let i(f) = 6*f**2. Give s(i(c)).\nAnswer: -594*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 3*f - 5*f**2 + 7*f**2 + 1 + f**3 - 5*f. Let h be 1\/2*2*1. Determine s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 382754120 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 298618, 597206, 895794, 1194382?\n\"Answer: 298588*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 151 - 121. Let x be 4 + (3 + 2 - -36). What is the highest common divisor of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -3*s + 9. Suppose -m = -0*u + 2*u + 1, 4*u + 23 = 5*m. Let n be (-1 + 1 - u) + -1. Let k(b) = n - 1 + 5 - 2*b + 0. Calculate -5*k(p) + 3*l(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 10*v - 7*v - 10*v - 15*v in the form z + n*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*f - 3*g - 5, -3*f + 2*g + 16 = 0. Suppose 0 = f*n + 6*y - 4*y - 28, 2*n = y + 25. Solve -3*o - 5*x - n = -0*x, 4*x = -3*o - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (sqrt(17) - (1 + sqrt(272)))) + (-1 + -1 + sqrt(17) - sqrt(17)))**2.\nAnswer: -10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 12*v + 16. Let t(b) = 22*b + 33. Let r(m) = 7*n(m) - 3*t(m). Let p(s) = 9*s + 7. Let i(a) = 11*p(a) - 6*r(a). Give i(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34, 114, 236, 394, 582, 794?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 18320 and 8244?\nAnswer: 164880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -684 divided by -342\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 31 = 2*x, -16*x + 17*x = -a - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -181*x + 3. Let r(a) = 268*a - 3. Let s(t) = -2*r(t) - 3*w(t). Let g(b) = -b**2. Determine g(s(n)).\nAnswer: -49*n**2 + 42*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes after 8:17 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45, -89, -133, -177?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/6 (c) -6 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -198*b + 196*b = -14 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16259, -16248, -16231, -16208?\nAnswer: -16179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than -11\/2911300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -27 + 19. Let p = v - -16. Suppose 0 = -p*w + 5*w + 57. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38\/7 of a week in minutes?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00046943141 to 5 decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.6 + 2.4. Suppose -228 = -4*f + 692. Let w = 461\/2 - f. Which is the second biggest value? (a) w (b) j (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 369 + -301. Calculate the greatest common divisor of 306 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 34876822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 - 17*q + 488. Calculate i(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 0.7. Suppose k = 3*k + 4. Let f = 0.4 + -0.4. What is the smallest value in f, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (9*(-1520)\/(-144)*-5)\/((-60)\/12)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 4) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a**3*f**4*r - 56*a**3*r + 10*a - 693*f**2*r wrt f.\nAnswer: 4*a**3*f**3*r - 1386*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14048 - 14052.5404. What is m rounded to one decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21*l + 19*l - 368*l**2 + 482*l**2 to the form p + f*l**2 + d*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1250 = 128*b - 103*b. Suppose 3*k + k = 16, -4*r = -k + 212. Let z = b - r. Solve 0 = -x - 1 + z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:47 AM and 4:35 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -30*v**2 + 2*v + 2. Let r(d) = 60*d**2 - 5*d - 5. What is 5*a(i) + 2*r(i)?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/((-1 - 1) + 1). Find the second derivative of -2*h**2 + 2*h - p*h + 5*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.03 and 29.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74516 is divided by 1461.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 929289358?\nAnswer: 2, 47, 137, 72161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 399\/315 + 6\/15 + 2\/(-3). Solve -6*z - s - c = -7*z, 0 = -3*z + 4*s - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 6 = s. Let r(o) = -o + 8. Let h be r(s). Suppose 195 = 5*q - 3*c, -2*c = -5*q - h*c + 170. Calculate the greatest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6371, -12742, -19113?\nAnswer: -25484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -50 (b) 5 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -5, 3.5, -569\/195?\nAnswer: -569\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(1 + -5)*(-2 - 1 - 10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 389376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1179*36\/3564 - 24\/(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 + -10. Suppose b*x - 417 = 117. What is the lowest common multiple of x and 16?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of t**4\/66 + 17*t**3\/11 + 50*t**2\/11 + 7*t + 1. Factor p(w).\nAnswer: 2*(w + 1)*(w + 50)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 2010*t**3 - t**2 + 1134*t**3 - t**4 + 1099*t**3 to z*t**2 + g + b*t + w*t**4 + h*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -84 + 83.99. What is the second biggest value in s, -15\/2, 0, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2*o + 1. Let d be z(1). Let h(j) = -d*j + 5*j - 3*j. Suppose 2*s - 4 = 0, 3*s - 1 = 3*w + 2. Let c(v) = -v - 1. What is w*h(i) + c(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 68537117, 68537129, 68537149, 68537177, 68537213?\n\"Answer: 4*t**2 + 68537113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 8564 - 9887?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3415466 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-6*sqrt(26)\/((sqrt(24) + -3*sqrt(24))\/sqrt(12)) + -3).\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1476)\/574)\/(117\/182)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.081592 minus -2?\nAnswer: 2.081592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -562?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 61187 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*c + 5*c - c)*(5 - 5 - 3)*(2964 + 288 + 4823) to y*c + f and give y.\nAnswer: -24225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + m = -10, 0 = 3*x - 9*m + 5*m - 27. Suppose x*u - 13256 = 5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/10)\/((52\/15)\/(1186\/(-1779))).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000664436 rounded to six dps?\nAnswer: -0.000664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 + 4*p**2 + 3*p + 1. Let l be h(-2). Let a(q) = q**2 - 3*q + 4. Calculate a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11782541 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 5*p + 18. Let y be ((p - -25) + -3)*-11. Let z = -195 - y. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -8 + 6*q + 3 - q**3 + 6*q**2 + 2. Let m(l) = l**2 + l. Let t = -27 + 33. Let j(h) = t*m(h) - x(h). Differentiate j(f) with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 141 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-1\/9)*o)**(-17))**(-2\/25) assuming o is positive.\nAnswer: o**(272\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 47 - 32, q - 5 = h. Solve -10 = -10*l - q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.7 + 153349667412\nAnswer: 153349667412.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*q**3 - 4*q + 0*q - 8*q**3 - 2*q**3 + 2*q.\nAnswer: -33*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 2)*(-3 + 4 - 2)*(11*v**5 - 5*v**5 + 6*v**5).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 57 and 1644006.\nAnswer: 31236114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 480281.\nAnswer: 331, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 420254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - 9*f**2 - 6*f + 9. Let a be h(-8). Let t = a + -17. Let i = t - -36. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3b31 (base 14) in base 11?\nAnswer: -7923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*o**3 - 16*o**3 + 8*o**3 + (o**2 + 2*o**2 - 4*o**2)*(-4*o + 2*o + 3*o) + (157*o**3 - 81*o**3 - 53*o**3)*(3 - 1 - 4) - 5*o**3 - 2*o**3 + 6*o**3.\nAnswer: -46*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (1802 - 1833) + 1024\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 604*n**3 - 3003*n**2 + 4764*n - 2348.\nAnswer: (n - 2)**2*(604*n - 587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -t - 48, -4*r + 0*r + 4*t = -92. Let o = 25 - r. Does 3 divide (o - 4)\/((-5)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 4*d**3 + 11*d**2 + 11*d + 500. Let z(p) = p**3 + 2*p**2 + 2*p + 100. Give 4*w(r) - 22*z(r).\nAnswer: -6*r**3 - 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 0. Suppose -2*k - f*h - 1506 - 234 = 0, 0 = -5*k + h - 4350. Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.215 - 0.098. Let l = -0.513 - t. Is -111 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of 5*f**3\/2 - 29*f. Let q(a) = -4*a. Give p(q(h)).\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/144*-710 - 22\/44. Is 29 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 19387 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 29\/2 of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor a**4\/4 - 651*a**3\/4 + 1941*a**2\/2 - 1937*a + 1290.\nAnswer: (a - 645)*(a - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 3*h - 2. Let j be g(2). Suppose j*i = 5*w + 6, 5*w + 0 - 14 = -i. Factor i*f**4 + 12*f**3 - 11*f**3 - f**2 - 3*f**4 - f**5.\nAnswer: -f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/427901 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 730 + -236?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lltltlf. What is prob of picking 1 l and 2 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3990 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3070*o - 24 = 4*h + 3074*o, 2*o + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -175*b + 37*b + 5306 = -904 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 5*v + 29, -4*p - 3 + 2 = -3*v. Let u be (p\/10)\/((-1)\/30). Differentiate 3*h + 5 + 3 - u*h wrt h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 869 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8*y**4 - 337*y**3 + 11*y**2 - 366302*y wrt y?\nAnswer: 96*y**2 - 2022*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of 7*r**6\/6 - r**3\/3 - 53*r**2 + 94*r. Differentiate j(d) wrt d.\nAnswer: 140*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 769718034 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 16) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.4 (c) -3 (d) 1395 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 365175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 8*w = -24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1695719?\nAnswer: 41, 59, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 2*v - 5. Let p be ((-4)\/12)\/(v\/(-9)). Let j = 129 - 125. Which is the smallest value? (a) 0 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 187 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 36823.3 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -248 (base 15) in base 10?\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 14*s + 33. Let r(b) = 5*b + 11. Let u(t) = -4*d(t) + 11*r(t). Let f(n) = 4 - 3 - 2. Let y(k) = -18*f(k) + 2*u(k). Determine y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -485455 (base 9) in base 6?\nAnswer: -10135035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h + 10. Let g be z(5). Calculate the remainder when 38 is divided by g + 17 - (3 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (7\/(-2))\/((-38)\/76). Let b(m) = 5*m**2 - 12*m + 43. Is 9 a factor of b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j**5\/8 + 187417*j**4 + 2998667*j**3\/8 - 187417*j**2 - 749667*j\/2 = 0 for j.\nAnswer: -1499334, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w. Let o(n) be the first derivative of -24*n**2 - 22 + 45*n**2 - 22*n**2. What is -6*o(m) + 11*p(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21675 and 4341936.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -9 and 21.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.5 - 1.4. Let x = -0.1 + d. Let m = -9 - -6. Which is the biggest value? (a) m (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 104252 - 25?\nAnswer: 104223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0\/(1*(-4)\/4). Suppose u = 2*h - 6, n - 3*h - 2*h + 16 = 0. Let p be (8\/6 + n)*9. Solve x + 0*x + p = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.215 (b) -17 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.11 - -0.29. Let t = 0.1 + o. Which is the closest to -0.1? (a) t (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 + -9. Suppose -5*r - 1605 = -5*w, 0 = 5*w - l*w + 2*r - 943. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49 + -2 - ((-44)\/1386 - 3788\/(-252)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l**4\/3 - 35*l**3\/3 - 400*l**2\/3 - 500*l = 0. What is l?\nAnswer: -15, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2.0069 (b) 4 (c) 1 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 + 10*i**3 + 9 + ((-3*i + i + i)*(5*i**2 + 0*i**2 + 9*i**2) + (-2 + 2 - 2*i**2)*(-3*i + 0*i + 2*i))*(1 + 1 - 4))*(i**2 + 3*i - 3*i).\nAnswer: 34*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, i: 2, a: 4, u: 1, h: 3}. What is prob of picking 1 u, 1 i, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*m**3*s**2 - 311740*m**3*s + 6*m**3 + 2*m**2 - 4866844*m + 5*s**2 - 3*s + 1 wrt m.\nAnswer: -54*s**2 - 1870440*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 479805 and 870?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9 (b) -10 (c) -0.05728 (d) -5 (e) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of d**4\/20 - 2*d**3\/5 - 3*d**2\/2 - 26*d. Let m(z) = 0. What is z?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.03 - 0.23. Let t = 0.2 + -0.3. Let q = 0.1 + t. Which is the nearest to 1\/3? (a) q (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 377*u = -4*h + 382*u + 28, 5*h + 2*u = 2. Solve 4*b - 21 = 5*v, -b = h*b + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -9*x**2 - 34*x + 6. Let k(h) = 7*h**2 + 34*h - 5. Determine 6*k(z) + 5*t(z).\nAnswer: -3*z**2 + 34*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -3*m**5\/4 + 5245199*m**4\/4 + 19232451*m**3\/2 + 45458561*m**2\/2 + 73433085*m\/4 + 15735663\/4 = 0.\nAnswer: -3, -1, -1\/3, 1748407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 + 4*q**2 - 7*q - 1. Let b be 459\/561 - (4\/(-22) + 0). Let l be (b*-1)\/(16\/80). Calculate m(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -7737 - -40205?\nAnswer: 33579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j**3 + 13*j**2 - 3*j + 7. Let b(q) = q**3 + 7*q**2 - q + 4. Let g(c) = 5*b(c) - 3*v(c). Let t be g(-5). Solve -11 = t*n + 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**3\/11 - 20*f**2\/11 + 274*f\/11 - 252\/11.\nAnswer: -2*(f - 7)*(f - 1)*(f + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 239426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 22912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 184 divide 16008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3549521 to the power of 1\/2, to the nearest integer?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-1\/4)\/t*t**(-3))\/((t\/(t*t\/t**(-5))*t)\/t**(1\/4)))**(-16\/9) assuming t is positive.\nAnswer: t**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in -1, -2\/9, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -15, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -10*o + 151*o - 43*o + 197*o - 1 in the form b + n*o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -701, 111, 6, 1\/4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 10, q: 1, n: 1, v: 2}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 408642200 = -103*d. What is d rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8769 and 948.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -3, 31 in increasing order.\nAnswer: -3, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4984*n - 2800 = 4809*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 - 8 + 32)*(-3 + 6 + 0) - 1 + 2 - 3)*((-3 + 2 + 0)*(-1 + 2*t + 1) - 2*t - 3 + 3)*(t + 3*t + 0*t).\nAnswer: -928*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 - 5*j + 75. Give y(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 + -3. Let y = 4 - r. Let n = 0.06 + -0.46. What is the closest to 1\/3 in -5, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 4*c + 4*q - 82, -5*c + 3*q = -127. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*m**5 + 414*m**4 + 348*m**3 + 640*m - 1257 wrt m.\nAnswer: -40*m**3 + 4968*m**2 + 2088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 4, o: 1, y: 3, z: 6, n: 2}. Give prob of picking 2 n, 1 z, and 1 o.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2692533313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 184507.\nAnswer: 307, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose m**2\/2 + 2194655*m\/2 + 1097327 = 0. Calculate m.\nAnswer: -2194654, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(sqrt(153) + 2*sqrt(153))*5)\/(sqrt(1296)*1*6))**2.\nAnswer: 425\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10123410113 + 22?\nAnswer: -10123410041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**4\/2 - 219*o**3 + 13143*o**2\/2 + 103806*o + 337014.\nAnswer: 3*(o - 79)**2*(o + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from cdathrt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000143095616 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22 + -14. Factor 4*y + 12 - 12 - 10*y**2 + m*y**3 - 2*y**4.\nAnswer: -2*y*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 17.9 or -36\/13?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -5*u - 2*h - 235, 5*h = -4*u - 940. Let j = 160 + u. Is (-5)\/(j\/162)*5 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 513158 is divided by 9519.\nAnswer: 8651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9581 + 10717 = 57*m + 25428 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/7? (a) -139 (b) 0.061 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/15*54\/(-45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a\/(a**(1\/2)\/a)))**(3\/13)\/((a\/a**(2\/23))\/(a*a\/(a*a*a\/a**(-1\/2)*a))) assuming a is positive.\nAnswer: a**(-1055\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the third derivative of r**7\/10 - r**6\/8 - 9*r**5\/20 + 5*r**4\/8 + r**3 - 13*r**2. What is q in u(q) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8.8 - -9. Let i be (1\/(-33))\/(1\/(-6)). Which is the closest to z? (a) -3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 80517 is divided by 20106.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-1\/6)\/i)**(-27))**(-42))**17 assuming i is positive.\nAnswer: i**(-22491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.099412 or -2?\nAnswer: 0.099412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 768 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -25*a**2 - 77*a**2 + 45*a + 16*a + 66*a**2 - 43*a. Let z(y) = -y**2 + y. Determine p(u) - 18*z(u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 90.19116 centimeters in kilometers?\nAnswer: 0.0009019116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, 21, 25, 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyyhyyhhyhhhyhyyhh. Give prob of picking 2 y and 1 h.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 34d - -1f05?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((10\/(-4))\/((-60)\/(-528)*11))\/(-23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 1838?\nAnswer: -2\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 139\/178260 and -121\/12.\nAnswer: 178260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -5*y. Let d be b(-1). Let z = 0 - -1. Suppose -3*q + 29 = -2*n, -q + 2*q = d*n + z. Calculate the lowest common multiple of 6 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 4*u + 431, -575 = -4*a + 10*u - 5*u. Let m = a + -433\/3. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 0, -0.9, 2 in ascending order.\nAnswer: -0.9, 0, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (84\/(-20))\/(-7) - (-2794)\/(-4290)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h + 72 = 2*f, 88*h = 5*f + 1542 - 114 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82773 is divided by 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 0, 11.7, -0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -6*h**2 - 151*h + 1. Suppose t + 4*q = -5, 9*q + 40 = -2*t + 7*q. Let l be w(t). Put l, -3, 1 in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - -13. Suppose -l = l - i. Suppose 0 = -3*p - 3*w - 15, 6 = -3*p - l*w - 14. Solve 3*v = -0*v + 4*o - 10, p = -3*o + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 333056518 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 58 and 6652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 374 or 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5035278 divided by -83.\nAnswer: -60666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 43049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.7 (b) -17\/2948 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(((sqrt(539) - sqrt(539)*-2) + sqrt(539) - (4 + sqrt(22)\/sqrt(2))) + sqrt(22)\/(sqrt(2)*-1)*6*-1).\nAnswer: -8 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (36376\/6)\/(28\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 348619*s**4 - s**3 + 6*s + 12764 wrt s.\nAnswer: 4183428*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.2 - 0.2. Let g = -2 - -1.9. Let p be (-2)\/(-6) - (-1)\/6. What is the nearest to p in 0, j, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4536) - (sqrt(4536) + 2*sqrt(4536)))\/((-2*sqrt(35))\/sqrt(5)))\/(-3*(sqrt(48)\/sqrt(3) + sqrt(16))*-2).\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-33 - (-19383)\/585)\/(((-70)\/(-3))\/10).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**3 + 34*x**2 - 76*x - 143. Give n(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 5*l**2 + 12. Let n(p) = -114*p + 35*p + 38*p + p**2 + 41*p. Calculate u(n(b)).\nAnswer: 5*b**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -66*s + 470 - 8 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve i**3\/5 - 82089*i**2\/5 - 164181*i\/5 - 82091\/5 = 0 for i.\nAnswer: -1, 82091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 36899.35 millilitres to litres.\nAnswer: 36.89935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - 46*(9\/4)\/(817\/86)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/9 >= 0.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*m + 480 = 18*m - 2*m. Which is the second smallest value? (a) m (b) 2 (c) 0.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 10*h**3 + 3*h**2 - 2. Let r(o) be the first derivative of 9*o**4\/4 + 4*o**3\/3 - 2*o - 5217. Give -5*r(j) + 6*u(j).\nAnswer: 15*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10690*s**4*z**3 + 2*s**3*z**3 + 3*s**3*z - 22*s**2 - 86*s*z**3 wrt s?\nAnswer: 256560*s*z**3 + 12*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1911254*s**2 + 111 + s**3 + 1911254*s**2 + 55*s with respect to s.\nAnswer: 3*s**2 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-5\/3)*(((f*f**(-1\/6))\/f)\/f)\/f)**29*(f**1*f)**(-19)*f**(-6)*f*f\/f**3 assuming f is positive.\nAnswer: f**(-763\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 7219*b + 57776. Calculate n(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q - 9. Let f be (270\/105)\/((-4)\/(-14)). Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (3 - 16675\/15)\/(10\/(-15))?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 508001099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 29172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 3) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23946093, 95784364, 215514815, 383137446?\nAnswer: 598652257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**2 - 1. Let z be w(-2). Suppose 0 = 2*r - 0*r - 3*b, r + z*b - 9 = 0. Solve r*v = y - 20 + 6, 4*v = y - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*r = 20*r - 675. Suppose 0 = 2*u - 2*x - 90, -u = 3*u + 5*x - r. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of -6 + n**2 + 0*n + 1333\/3*n**3. Let o be k(6). Round o to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {o: 1, x: 1, c: 2, m: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-4)\/(r*r*r\/((r*r\/(r*r**(-3\/5)))\/r)*r)*(r\/r**(1\/7))\/(r**8\/r))**(-40))**(-1\/24) assuming r is positive.\nAnswer: r**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 714 or 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 156 = 11*y. Suppose 5*u + y = 2*u. Let f(h) = -6*h**3 + 7*h**2 - 3*h + 4. Let i(b) = 7*b**3 - 8*b**2 + 4*b - 5. Calculate u*f(r) - 4*i(r).\nAnswer: 2*r**3 - 3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 98519912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 4280, 4255, 4230, 4205, 4180?\n\"Answer: -25*j + 4305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 116.12055068 + -116.12. What is p rounded to six decimal places?\nAnswer: 0.000551","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 13 = -4*w - j, 2*w - 4*j + 8 = 0. Let s = 3 - w. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 468 divided by -117\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {z: 3, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of w**5\/60 - 2*w**3\/3 + 8*w**2\/3 - 12*w. Factor v(g).\nAnswer: (g - 2)**2*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12903 - 0.3?\nAnswer: -12903.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2 + 5*a + 6. Let f be ((-6)\/9)\/((-8)\/(-60)). Suppose 4*c - 42 = c. Calculate the smallest common multiple of c and l(f).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000060394 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b + 1051 = 391. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*y - 48*y + 60 = 4*m + 46*y, 4*y + 68 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -32 - -da4?\nAnswer: d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -232*i*p*w**2 - 3*i*p + 487*i*w**2 + 2*p*w**2 - 115*p + 7 wrt w.\nAnswer: -464*i*p*w + 974*i*w + 4*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(13) + -2*sqrt(13) - sqrt(13))*-3*-3)**2 - ((sqrt(117)\/(sqrt(45)\/sqrt(5)))**2 + sqrt(13) + 0 + -4))*-1.\nAnswer: -4203 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 109 by -1.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**2 - 10*p - 14. Let s be -7 + (1 - 1)\/1. Let c = 1 + 2. Calculate the remainder when k(s) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18454.1115 - 18411.1. Let k = 43.42 + -0.42. Let j = k - i. What is j rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1475138402?\nAnswer: 2, 79, 157, 59467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -2*o - 15. Let z(q) = -3*q - 31. Let c(s) = 5*v(s) - 3*z(s). Let p be c(14). Suppose -5*r + 4838 = -f, -2*r + 1664 = p*f - 258. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -23 and 16?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(242)*1 + 5 - ((-1*sqrt(168))\/sqrt(7) + sqrt(24) - sqrt(24))\/((sqrt(48)\/sqrt(4) + sqrt(12))*2))**2.\nAnswer: -435*sqrt(2)\/2 + 7769\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 573 = -4554. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -308 = -b - 38. Let t be (-3)\/(6\/b + 4\/(-18)). Solve -25 = -2*v - t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*m - 75 = 26*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -19*g*q - 42586*g - 254*q wrt q.\nAnswer: -19*g - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -1023?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -70421, -69038, -67655?\n\"Answer: 1383*a - 71804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrjrjrrjrrrr. Give prob of picking 2 r.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 10916646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -0.1 (c) -17 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1785*l = -2905*l + 17920 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = 4*c + 4, 0 = 2*z - 3*c + 10562 - 10567 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/480 and -79\/480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 6:22 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12031 and 96884.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146988 = -3*w + 3*z, 2*w - 12*z = -16*z + 97956. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1212 (base 3) in base 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1035)\/(-120) + 10\/((-70)\/63).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -79753*z = -77120*z + 215906 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12 - -13. Let y be (-2)\/(-2) + (125 - v). Suppose 53 = 2*r + 2*o - y, r = o + 79. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -46 + -31. Suppose h - 368 - 349 = 3*u, 0 = -5*h + 15. Let o = j - u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express c**3 - 5*c**3 + 3 + 2 + 3*c**3 in the form z + s*c**3 + l*c + k*c**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4624, 4630, 4648, 4684, 4744?\nAnswer: 4834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 - 98 = -5*f. Suppose 57*s - 43*s = 126. Let u = f - s. Solve 0*m + 35 = -4*z - u*m, -29 = 4*z + 3*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14 + -12. Let v be 30 - (-3 + -2 + m). Calculate the highest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21313 (base 4) to base 7.\nAnswer: -1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 + 4 + -2)*(3 - 2). Let p be ((-126)\/(-7) + 2)*1\/i. Solve -5*b + 4*k + 1 = -p, -5*b - 2*k + 12 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 32\/11 - 3. Sort 0, p, 4 in decreasing order.\nAnswer: 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(12\/11)\/o*o**11)**(-4\/7) assuming o is positive.\nAnswer: o**(-488\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**3 - 12*y**2 + 4. Let p be f(-12). Suppose i - 134 = -5*t, -5*t + 9*i - p*i + 140 = 0. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3375 to three dps.\nAnswer: -0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -99*h**2 + 195*h**2 - 97*h**2. Let s(l) = -42*l**2. Calculate g(s(u)).\nAnswer: -1764*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 - -7. Calculate the remainder when 13 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v + 43 - 43)*(608 - 3703 - 1979 + 1855 - 1053 - 3359).\nAnswer: 15262*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/62 and (1240\/48)\/(-31) - 7410\/(-9486).\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 638 is divided by 153?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 96293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -11*c**2 - 50*c - 5. Let p(g) = -17*g**2 - 80*g - 8. Let t(f) = 5*p(f) - 8*x(f). Let q(w) = -1745*w**2. Give t(q(y)).\nAnswer: 9135075*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 139*n - 1796. What is the remainder when v(15) is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2*x + 8. Calculate f(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 4*k**2 + 294*k - 22669. Give y(47).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -77*h - 2. Let y = 22 + -1. Let i = y - 22. Does 25 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-1\/2)*(p**5\/p)\/p*(p*p*p\/(p*p\/p**1*p))**(-38))**(5\/3) assuming p is positive.\nAnswer: p**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + (sqrt(3) - sqrt(480)\/sqrt(10))**2 + sqrt(576)\/sqrt(12).\nAnswer: 5*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, b: 8, l: 1, g: 2}. Give prob of picking 1 j and 2 g.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -64 + 20*j**2 - 61*j**2 - 6*j + 22*j**2 + 20*j**2. Calculate u(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.9*-253.\nAnswer: -733.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 295964335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 0)*(-1 + 6 + 0)*(-m**2 + 3*m**2 + 0*m**2)*(259*m**2 - 40*m**2 + 189*m**2).\nAnswer: -8160*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1416 = 2*q - 2230. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 58128424 and 8406.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence onv when three letters picked without replacement from ooooooooonoonnv.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3 - 18*p**2 + 42*p + 50. Let l be t(-20). Suppose 4*r - 3*r = -130. Let u = r + 190. What is the greatest common factor of l and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - 1 - 23 - (110 - 101)) + 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -1\/4*k**5 + 3\/4*k**2 + 0 + 5\/4*k**4 - 7\/4*k**3 + 0*k = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.018525545 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 3*t - 2. Let s be p(2). Which is bigger: s or 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {s: 1, n: 4, o: 7, z: 8}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - 24*k + 30. Suppose 3*z - 2*w - 3*w + 50 = 0, -5*w = 4*z + 125. Let a be l(z). What is the highest common factor of a and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 50 - 83. Let g = w - -33. Put g, -3, -0.3 in decreasing order.\nAnswer: g, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (37 + 30 + -30)) + 100.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 18*k - 10*k + 64. Let z be (-2)\/k*66*16\/12. Suppose -22 = -2*d + 3*q + z, 4*d + 5*q = 66. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/(1\/2) - 2. Suppose w*p = -2*p + 18. Is 10 a factor of (-2)\/(-9) - (-178)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2*i**2 - 2*i - 11. Let u be d(-9). Let c = u + 45. List the prime factors of c.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes after 8:25 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 1275*q**2 + 55*q - 55. Let i(a) = 91*a**2 + 4*a - 4. Let g(u) = -55*i(u) + 4*o(u). Let m(f) = 2*f**2. Give m(g(j)).\nAnswer: 18050*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the third derivative of -f**5\/30 - f**2. Let t(q) be the first derivative of q**2\/2 + 2. What is -r(j) - 2*t(j)?\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 14771 and 3?\nAnswer: 14768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17 - -49. Suppose 4*h - 5*s - 1029 + 372 = 0, 0 = 4*h + 2*s - 622. What is the remainder when l is divided by h\/14 - (-12)\/(-42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 79*g**2*s**3 + 8435*g**2*s**2*u**2 - 55*g**2*s*u + 259*g*s**3*u - 165*s**3*u**2 wrt u?\nAnswer: 16870*g**2*s**2 - 330*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8038217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of c**4\/2 - 13*c. Let l(z) = 2*z**2. Calculate t(l(o)).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 239 + (-1)\/(3\/(-6)). Let m = -2357 - -2360. Suppose -m*l - l - 163 = -3*t, 5*t - h = -l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6916989 divided by -84?\nAnswer: -2305663\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 9401*n + 169221. Calculate b(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 83*y**2 - 3*y - 76*y**2 - 2*y + 13. Is g(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*s - 56 = -41*s + 64 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 207.93 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/(-2) + ((-116)\/60)\/(172\/430)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -35*n**2 - 7*n**2 - 103 + 44*n**2 to the form b + a*n**2 + j*n and give b.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 44611400 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.03 - -2.03. Let o = 0.5 + -1. Let w = 5 + -5.3. Which is the nearest to 2\/7? (a) g (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of -y**3\/6 + 55*y**2\/2 - 2*y. Calculate the remainder when q(9) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 9733.808 millilitres to litres.\nAnswer: 9.733808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15 and 53251860.\nAnswer: 53251860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14712 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 - -23031?\nAnswer: 23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - q = 17, 37*r + 3*q + 6 = 34*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 2:46 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 18 = 8*o. Let i(n) = n**3 + 7*n**2 - 18*n + 4. Let q be i(o). Suppose -4*d + 1 = 5. What is the nearest to d in -0.1, q, 1\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8\/27793601 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 33*o**2 - 2425*o - 11638. Determine x(78).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 2*c + 0 - 223*c**2 - 16*c + 423*c**2 - 201*c**2 - 2. Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n - 3. Let u(l) = -2*l - 4. Let g(o) = 5*j(o) - 6*u(o). Differentiate g(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1137 + 1140. Let r = 0.1 - 0.2. Which is the closest to r? (a) 7 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -159 + (-51 - -264) + -106?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1588 divide 5298867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p + 2 + p + 10*p**3.\nAnswer: 10*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, b: 2, l: 1}. What is prob of picking 1 b and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 24 (base 16) to base 2\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*b**2 + 5 - 22*b**2 + 8*b**2 + 9*b**2 + 3155*b**3.\nAnswer: 3155*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 + 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/170 greater than 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**0)**(-28))**(-25\/6)\/(((z**(-1)\/z)\/z*z)\/z**5*(z**(-2\/5))**(-6\/11)) assuming z is positive.\nAnswer: z**(373\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -52a - -2b?\nAnswer: -4ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f - 5. Let g be i(-7). Suppose m = -2*m + 5*c + 1, 5*c + 5 = 5*m. Differentiate -2*h**2 - 1 - m*h**2 + h**g wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 475, 461, 439, 409, 371, 325?\n\"Answer: -4*g**2 - 2*g + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1475887 is divided by 166.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3662214 and 4?\nAnswer: -14648856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3\/9 + 50*y**2\/3 - 246*y - 23534\/9.\nAnswer: -2*(y - 41)**2*(y + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 4*x - 304, 0 = x - 4*r + 14 - 90. Let g = -13 + x. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 5*s = 43169, -2 - 1 = s. Suppose 0 = 3*u + 2*h - 0*h - 8096, -4*u - 2*h = -w. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fdddfd. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/8? (a) -1 (b) -2\/825 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(190)\/(-2*sqrt(10)) - (-1 + sqrt(76))) + 1*(0 + -1 + sqrt(19) + 4))**2.\nAnswer: -12*sqrt(19) + 235\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 1238.678ng?\nAnswer: 0.001238678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 5264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 + 12*j - 5. Calculate the remainder when 7\/(-1) + (-3597)\/(-33) is divided by u(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -44 - 0 - (69 - (62 + 3))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 3476870*r**2 + 36. Let n(h) = h**2. Give q(n(x)).\nAnswer: 3476870*x**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2907 and 3825?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -76 = 3*o + 4*c - 60, -c = 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 69715980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7306 + 8620. Calculate the smallest common multiple of 2409 and b.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6428 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 406 = -21*b - 10*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/6)\/((-10)\/(-420)). Suppose -j = -2*y + 8, 4*y - j - 2 - f = 0. Let 1 + 2*v**2 - 1 - y*v = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 10870 (b) 45 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 - 6*t - 1. Let q be r(6). Let s(j) = -2*j - 2*j**2 + j + j**3 - j**2 + 6*j**2 - 2. What is the units digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 12038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 42166 divided by -1?\nAnswer: -42166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/14*2300025\/(-227475)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -75 - -80. Solve 3*n + 2*n = -x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 8:29 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.4 + -1.6. Let w = -2 + v. Let y = -73 + 805\/11. What is the smallest value in w, y, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -3 + 0 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3713*h - 28 + 0 - 1476*h + 7 + 0 + 22.\nAnswer: 2237*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -3*f - 83. Let x be t(-24). Let q(a) = -6*a**2 - 69*a - 26. Let u be q(x). Let g(y) = -7*y + 1 + 8*y**2 - 1 - y**3 + 5. Calculate g(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 10958?\nAnswer: 2\/5479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q + 22 = 3*z - 2*q, 0 = -5*z - 184185*q + 184187*q - 24 + 62 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of -k**2 - 25. Let f(v) be the second derivative of v**4\/12 - 2*v. Calculate f(y(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11011 + -1?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 30591 + 669519820.\nAnswer: 669550411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -7*g**4 + 2*g**2 - 362 + 18*g**4 - 3*g**3 + 184 + 176 + 2*g in the form k*g**3 + w*g**2 + r + o*g**4 + x*g and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1968)\/32)\/41*413\/1416?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of d**8\/1344 + 47*d**7\/280 - 19*d**6\/32 + 143*d**5\/240 - 2451*d**2. Factor j(p).\nAnswer: p**2*(p - 1)**2*(p + 143)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11642, 46519, 104626, 185945, 290458, 418147, 568994?\nAnswer: 742981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f = -2*f + 15. Let u(w) = -9*w - 59. Let z be u(-12). Let c = z + f. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1830504011?\nAnswer: 7, 261500573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 - 69007.5713.\nAnswer: -69023.5713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 578424 is divided by 1013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 5213, 10521, 15829?\n\"Answer: 5308*z - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/1*(-48)\/(-640)*-10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 8 - q + 20 + 4 + 6 - 11 + 3*q**2 as u + b*q**2 + y*q and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 6, 1, 3 in increasing order.\nAnswer: -5, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - m + 107 = 0, 0 = -207*t + 204*t + 3*m - 93. Sort -49, 0.3, t in decreasing order.\nAnswer: 0.3, t, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 4, 27*c - 32*c + 36156 = -z. Round c to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-81)\/(-18)*8\/18. Suppose 0 = f + 4, 718 = m*y + 2*f + f. What are the prime factors of y?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((6\/270)\/(90\/(-405)))\/(1\/(-35)). Factor -2*b + f*b**2 - 5\/4*b**4 + 17\/4*b**3 + 0.\nAnswer: -b*(b - 4)*(b + 1)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 2 = 5, -2*t + 65 = -3*g. Calculate the highest common factor of 119 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vmun when four letters picked without replacement from unbvm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 5*a**2 - 50*a + 109. Let c be u(7). Let n be (1 + 3)*(-15)\/(-6). Calculate the highest common divisor of n and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7630\/211 greater than 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-10)\/(-3) + (-22)\/(-33). Suppose k*d + 7*b = 2*b + 10160000, d + 4*b - 2540000 = 0. Round d to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31351142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 656*d**3 - 17 + 27 + 263*d**3 to the form j + w*d**2 + i*d + y*d**3 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 66, 14, -98, -276, -526, -854?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4255*61.\nAnswer: -259555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8080)\/1414 - (-18)\/(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -16*s**2 + 470*s - 2986. Give d(13).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -78275 by -41.\nAnswer: 78275\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 9, 5, -312 in increasing order.\nAnswer: -312, -5, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/738 < 13811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -34747, -69414, -104081?\n\"Answer: -34667*y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/((l**(-3\/2)\/l)\/l)*l**6)\/(l\/(l*(l\/((l*(l*(l*l\/(l\/l**(-2))*l*l)\/l)\/l)\/l))\/l)*l**0\/l))**(14\/9) assuming l is positive.\nAnswer: l**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.5, 16, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 178 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*s - 21 + 12 = 6*s. Calculate the remainder when 3321 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*x**2\/7 + 6076*x + 4213200\/7.\nAnswer: 4*(x + 100)*(x + 10533)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-8) + 2365\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**2 + 18*n - 23. Let v be i(17). Let s be 10\/(-6)*v\/15. Factor s*z**3 - 1\/3 - 2\/3*z + 0*z**2 + 1\/3*z**4.\nAnswer: (z - 1)*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 285 - 384.4. Let o = -99.1 - q. Which is the nearest to -1\/3? (a) o (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8017006, 16034013, 24051020, 32068027?\nAnswer: 40085034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 12 times -20.19\nAnswer: -242.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1388400 divided by 21360\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*p - 28 = -p. Let b = 46 + p. Differentiate -b*k - 16*k**4 + 19 - 39*k + 81*k wrt k.\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 22555203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/((t*t**4)\/t))\/(t*(t\/(t**(-7)*t*t*t*t))\/t)*(t**(-1)\/t)**50)\/(t**(1\/10)\/t*t**3*t**9*t*t*(((t**(-1\/7)\/t)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(-8117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnsunuseuuuu. What is prob of sequence ns?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -267373 take away -2002?\nAnswer: -265371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 921 and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is x in 16*x**2 + 196*x + 48 = 0?\nAnswer: -12, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -90456, 0.53, -3?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.4, -3, -4.\nAnswer: -4, -3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 3, m: 3, r: 10, l: 3}. Give prob of picking 3 m and 1 r.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + (-152)\/(-12)*-3. Let a = b + 64. Calculate the remainder when a is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -v**5\/10 - 7*v**4\/16 - 3*v**3\/4 + v**2 + 3*v. Let d(w) be the first derivative of z(w). Find a such that d(a) = 0.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 - ((-25 - -12 - -26 - 3) + -4 + 1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**2 + 10*z + 10. Let p(v) = -2*v**2 - 21*v - 19. Let u(b) = -7*c(b) - 3*p(b). What is u(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 21825 and 7?\nAnswer: 152775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 67*i**2 - 528*i + 739. Let t be c(74). Let x be (-2)\/18*(-30)\/(-4). Is x < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 408c4 (base 15) in base 11?\nAnswer: 12a6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of 3*q**5\/4 - q**4\/24 - 2*q**3\/3 - q**2 - 234*q. Suppose c = -0 - 2. Is 14 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2195346313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 260 - 88. Calculate the remainder when d is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 33*a**2 - 44817*a + 2334408.\nAnswer: 66*a - 44817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -398*i + 395*i + 2 = 4*g, 4*i = -6*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-1\/7)\/h*h\/h**0)\/((h**9*h)\/h**(4\/5)))**40 assuming h is positive.\nAnswer: h**(-2616\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 58 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p*(p*(p\/p**(-2\/7))\/p*p)\/p)))**(-12))**(-24\/11) assuming p is positive.\nAnswer: p**(4608\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 - -11. Calculate the remainder when 254\/8 - z\/(-20) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -21.7 + 40.5. Let d = -125 + 106. Let m = d + s. Which is the nearest to m? (a) -3\/4 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of z**7\/4200 + 7*z**6\/1200 + z**5\/20 + 7*z**4\/24 + 64*z**2. Let x(b) be the second derivative of d(b). Factor x(r).\nAnswer: 3*(r + 2)*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/4*(-1512)\/1260.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 16*n**2 + 32*n + 13. Let q be p(-10). Suppose 3*j - 3*x = q, 13*x + 1273 = 3*j + 15*x. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 441 or 440?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = 45\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1171106*o**3*z**2 - 2*o**2 + 11831777*z**2 + 4 wrt o.\nAnswer: -3513318*o**2*z**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -1 (c) -2\/9 (d) -1\/6 (e) -250.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 133 - 129. Let a be (m\/7)\/(15\/105). Solve 0 = -2*w - 4*h + 12, 2*w + 5*h = a*h + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m be 9\/(-4)*72\/54. What is the third biggest value in m, -1\/15, -1\/5, 1\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -2407.\nAnswer: 1\/2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -20*a - 1. Let u be p(-1). Suppose -v + 28 = 4*g, 8*v + 8 = 3*g + 22. Let r be v + u + (-25)\/5. Is 19 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -25 + 69. What is the tens digit of n*7\/(56\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of -84*f**3 + 8147. Let a(h) = 6*h. Give c(a(n)).\nAnswer: -9072*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 535\/101, 3\/4, -4, -0.2 in decreasing order.\nAnswer: 535\/101, 3\/4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*w + 4*w. Which is the closest to -3? (a) w (b) 4\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*h**2 + 3*h**2 + 0*h**2 - 212*h + (2*h - h + h)*(1 - 1 - 2*h) + 0 - 4*h**2 + 0 in the form a + d*h + g*h**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 - 31*p + 11. Calculate k(14).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/15 in -4, -27, 4.125?\nAnswer: 4.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-12)*3)\/(3\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2*3\/(-215))\/(-23*141\/(-5405))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 171 and -5214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 6*f - 158 = -f, -f = -4*m + 239. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + sqrt(6)\/sqrt(2) + 5 + sqrt(6)\/sqrt(2) + -5)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-48))\/((-3)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 103374 in 3\/4, -5, -1136?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 228\/30 + 492525\/(-64625)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -405\/8*m + 3\/8*m**2 + 0 = 0. What is m?\nAnswer: 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3594 - 3592. Let k = 0 + -3. Let n = -1 - k. What is the highest common divisor of n and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -93*k - 106*k + 87*k - 13*k + 4 - 247*k in the form u + a*k and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2790\/3906*(-5)\/((-50)\/78)\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence go when two letters picked without replacement from ggoogg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x - 214 = 2*b - 3*x, -5*x + 5 = 0. Let f = 112 + b. Calculate the lowest common multiple of ((-15)\/3)\/(-3 + 2) and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3415831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -2*a**3 + 14*a**2 + 276*a - 1696. Calculate c(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 504 a factor of 3536069040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 11) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -5*d**3\/4 + 905*d**2\/4 - 20425*d\/2 = 0. Calculate d.\nAnswer: 0, 86, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17055, 34003, 50951, 67899?\nAnswer: 84847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*a + m - 5, -a = 5*m - 2. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*a - 5*a - 20. Let d = a + 12. Let l = -2997 - -3027. What is the remainder when l is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(-4) + 2\/8. Suppose 3*o - 216 = -2*a + 7*a, b = 5*a. Let h = o + -46. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 68 - 63. Suppose -688 = -4*r + 4*s, -10*r - 2*s + 839 = -q*r. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**2\/3 + 44*o\/3 = 0 for o.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22020012 + 20120012?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 81520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 64*i**3 + 2*i**2 + 2*i + 1. Let a be n(-1). Let g = -75 + 9. Let v = g - a. What is the nearest to -3\/10 in v, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -83745, -81676, -79655, -77706, -75853?\n\"Answer: -4*g**3 + 2097*g - 85838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.2 + 7.2. Which is the smallest value? (a) 3\/7 (b) 14 (c) 2\/5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1\/2, -0.4, -0.2, 18, 3, 14.\nAnswer: -0.4, -0.2, 0, 1\/2, 3, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 7\/3*(-3)\/9*(-612)\/3094\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -4*u**2 + 5959*u - 433778. What is w(1413)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1975.26 minus 474684.42?\nAnswer: -476659.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3, -156 in descending order.\nAnswer: 3, 1, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, k: 2, q: 2}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 46920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -618*g + 5187 - 81 = 162 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 2\/5, -2\/9, -37?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = -3*q + 8, 134716*q - 16 = -5*r + 134715*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - -2 - (-52 + -54 - -116).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**3\/2 - 43*m**2\/2 - 53*m\/2 - 13\/2.\nAnswer: -(m + 1)*(m + 13)*(3*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q - 11. Give m(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 - 6*x**2 - 13*x + 10. Let l be y(8). Calculate the greatest common divisor of 170 and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-450)\/(-54) - (8\/(-3) + 2). Find q such that 15*q + 5*q**2 - 3*q**3 + 3*q**2 - 4*q**2 - q**2 + o = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 11.4 and -0.432829176?\nAnswer: 11.832829176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:36 PM and 2:50 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21091 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -233787*u**4 + 803765.\nAnswer: -935148*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 164258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -43 - (-84 - (21 + -30))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20*(-646)\/1064*7.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 77880\/(-32) - 18\/8. Round c to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -44*h**2 + 28*h + 52. Let u be 0 + 204\/10 + (-82)\/205. Let d(p) = 2*p**2 + 1. Let c(g) = u*d(g) + v(g). Let c(o) = 0. What is o?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -232 - 1?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (0 + -1 - (-33 - -23)) + (-7 - -22)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 9) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the third derivative of -k**5\/20 - k**2. Let y(w) be the second derivative of 0 + 0*w**3 - 145*w + 5\/4*w**4 + 0*w**2. What is y(m(a))?\nAnswer: 135*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 20 = 0, -2*i - 3*i + 25 = -4*n. Let v be i\/(-18)*(1 + -779). Suppose 80*p - 81*p + v = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/5 - (-518)\/(-210). Sort p, -0.1, 2.\nAnswer: p, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 4192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/4, -1248, 1, 41?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -12. Let v = 4 + t. Calculate the remainder when 2*v\/6*-1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15971.\nAnswer: 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9666267 divided by -39\nAnswer: -247853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1 + -35 - (408 - 413)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.89 - -26.89. Let c = q + -23. What is the third biggest value in -1\/4, 1, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1137*j**3 + 86*j**2 - 86*j**2.\nAnswer: -1137*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 4.902106 millennia?\nAnswer: 4902.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 4. Let t be ((-57)\/(-15))\/((-3)\/(-15)). Suppose -t = -5*u + 51. Calculate the greatest common divisor of o and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 97231216 to the nearest integer?\nAnswer: 9861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 0.4 (c) -0.07 (d) 2\/3 (e) -0.5 (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 124 + -1?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange k + k - k + (1 - 4 + 6)*(-16*k - 4*k - 9*k) to y + r*k and give r.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 8*n - 2860 = 0. List the prime factors of n.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(5*(5 + sqrt(1573) + -1 + sqrt(1573)))**2*1*3.\nAnswer: 13200*sqrt(13) + 473100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 AM and 6:54 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 3*l**3 - l + 1. Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 334\/67 - (-5 + 10). Is z less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 6 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1570230 to the power of 1\/2, to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -26253000 to the nearest 100000.\nAnswer: -26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:59 AM and 5:45 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + (-16 - -5) + -7 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffofofoooooofooofoo?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -3296.266122 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 + 31*f**2 - 43*f + 840. What is k(-36)?\nAnswer: -4092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + 1443144?\nAnswer: 1443204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**5)**(-12)\/(h**(-13)*h\/(h*(h\/h**(1\/4))\/h)))**(3\/5) assuming h is positive.\nAnswer: h**(-567\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-5\/4)*((x\/x**(1\/5))\/x)\/x*x**(-11)*x**7)**(8\/5) assuming x is positive.\nAnswer: x**(-258\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1*(-20)\/6*19\/(-95)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-36)\/(-15) - 6\/(-10). Let f(s) = 4*s - 7. Let l be f(u). Suppose -l*k + 2808 = k. Round k to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 156716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -2*n**4 + 1 - 8*n**3 + 9*n**3 + 4*n**4 - 8*n**2 - 2*n**3 in the form x*n**4 + r*n**3 + t*n**2 + k*n + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51055?\nAnswer: 5, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11946 + 17309. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3\/8 - 4781*v**2\/4 - 9605*v\/8 + 200823\/4.\nAnswer: (v - 9563)*(v - 6)*(v + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z + 2*z**3 - z - 6*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -3*a - 4*j - 0*j, 0 = -3*a - 5*j + 31. Suppose 4*v + 69 = 377. What is the remainder when v is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 288, 290, 292, 294, 296, 298?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4211101 (base 5) in base 9?\nAnswer: -115331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*b = -332 - 550 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 40 - -2. Suppose v = 6*f + 228. Let x = -22 - f. Solve l + x = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 5*((-1 + sqrt(684))*2)**2 + 2.\nAnswer: -240*sqrt(19) + 13698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/853 greater than or equal to 4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.02 - 0.02. Let y = -0.07 + -0.63. Let o = -0.3 + y. What is the nearest to o in 0.3, 3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1510277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 44*a - 62. Let f(y) = -17*y + 7. Let s(i) = -19*i + 7. Let v(g) = 7*f(g) - 6*s(g). Let l(x) = -6*n(x) - 52*v(x). Let p(t) = t**2. What is l(p(o))?\nAnswer: -4*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**3 - 9*s**2 + 24*s - 146. Let j be m(-12). Is j greater than or equal to -13\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 8:14 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -687 = -3*c - 3*l, c - 3*l + 223 = 2*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/178354880 and -37\/387728.\nAnswer: 178354880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2902\/9 >= 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 1\/3, -2\/10633, 269 in descending order.\nAnswer: 269, 1\/3, -2\/10633, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 3*l - 5*i - 16, l - 20 = 4*i. Let f = -154444 - -154460. What is the remainder when l is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 - 34*q**2 - 270*q + 66. Determine i(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*p**2 - 10*p**2 - 5*p**2 - 5*p**2 + 89*p**2 - 18*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -29 equal to -181\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -29, 4, -11, -2, 3 in decreasing order.\nAnswer: 4, 3, -2, -5, -11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -24*s + 46. Solve 7*m - 6*m = s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -6. Let l = 3.7 - -0.3. Let t = 117\/2 + -57. What is the nearest to j in l, t, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g - 5. What is l(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -16, -1.35, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of -w**4\/6 + 2*w**3\/3 + 10*w**2. Suppose -2*v = -i - 8, 3*i + v - 4 = -0*v. Let m be u(i). Solve 0*f + f - m = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -102 - -107. Let l(s) = 17*s - u*s - 13*s. Let w(r) = -24*r. Calculate w(l(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 - 24 = -4*f + w, -4*f = -3*w - 45. Let n = 3 - -7. Suppose -4*l + 54 = n. What is the lowest common multiple of f and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the first derivative of -4 - 5\/3*n**3 + 0*n + 5\/2*n**2. Find the second derivative of g(d) wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 8, g: 2, d: 1, z: 9}. Give prob of sequence gq.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5085, 3, 0.5, 2.21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p*p*p**(1\/6)\/p))\/((p**(-1\/6)*p*p*p)\/p)*(p*p**(-1)*p)**(-50))**(1\/44) assuming p is positive.\nAnswer: p**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 + 71\/15*1)\/(-4).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*a - 263, 0 = -2*a + l + 2*l + 149. List the prime factors of a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -7 (b) 0.5 (c) 3 (d) -116 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 234 - 237. Let q be (8\/14)\/(-4) + (-67)\/(-420). Which is the third smallest value? (a) 5 (b) -2\/3 (c) q (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is v in 3*v**3 + 84*v**2 + 357*v + 276 = 0?\nAnswer: -23, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that c**5\/10 + 127*c**4\/10 + 3551*c**3\/10 - 31423*c**2\/10 = 0.\nAnswer: -67, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k = -a + 3*k + 121, 2*a + 3*k = 269. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56022*b + 555 + 22054*b - 555.\nAnswer: 78076*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/13, 0.3, 0.4, 50, 7 in descending order.\nAnswer: 50, 7, 0.4, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q. Let l be (-40)\/(-24) - 2\/3. Give m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2547 + -2551. Let u = 0.57 - 0.47. Which is the closest to 0.1? (a) u (b) v (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 AM and 4:52 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -11*c - 22. Let p be v(10). Let j = 208 + p. What is the remainder when j is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -200\/3 + 68. Which is the nearest to 2? (a) -0.5 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-164)\/(-36) + 1\/((-18)\/(-8)). What is the closest to -2\/7 in 1, 2, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 122, -4 in increasing order.\nAnswer: -4, 1, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7)\/14*(-1 + 4 + -3). Suppose c = -19*t + 22*t - 15. Solve m - 11 = t*p, -4*p = -m + 2*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of d**5\/30 - 7*d**4\/24 + d**2. Find the second derivative of s(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -20\/261 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19*h**2 + 1256 - 42*h**2 - 1279)*(0*h - 2*h + 6*h) to z*h**3 + t + o*h + k*h**2 and give o.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -555.803 + -6.247. What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -69*g**4 - 7*g**3 + 134*g**2?\nAnswer: -1656*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*f - 721 + 55 = 9*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 232617929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 283, 514, 745, 976?\n\"Answer: 231*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -10.834841 to three decimal places.\nAnswer: -10.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4970611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of r**5\/15 + r**3\/2 + 3*r**2. Let j(g) = 2*g**2 + 2. Let o(t) = -4*f(t) + 7*j(t). Factor o(q).\nAnswer: -2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 234021.8 centimeters to meters.\nAnswer: 2340.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 9) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of -1199*z**8\/336 + z**4\/12 - 2063*z**3\/6 + 275*z**2 + 9*z. What is the second derivative of w(x) wrt x?\nAnswer: -23980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63.60916 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -725 + 1033. Suppose 4*l = 8, 0*o = 2*o - 4*l - r. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + -6. Let n = p + 1. Let f = 5.6 + n. What is the nearest to -1\/2 in -2, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 33221 and 5.\nAnswer: 33226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, -2\/5, 133 in increasing order.\nAnswer: -3\/4, -2\/5, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 1896 (base 16) to base 3.\nAnswer: 22122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1019244 is divided by 375?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 7*y**3 - 6*y**3 + 0*y**3. Let i be g(-2). Let a(q) = -q**3 - 7*q**2 + 7*q - 5. Let v be a(i). Solve 5*w + 7 = -4*m + v, 5*m + 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c**2 - 75*c + 24*c + 51*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of -b**4\/84 + 4*b**3\/21 - 8*b**2\/7 - 23*b. Let p(g) = 0. Calculate g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2133 - 2116. Solve w*d = 26*d + 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19667 (base 13) in base 3?\nAnswer: -2111210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 82715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -138 times 1?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2, 1, 0.328, 4, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 41*0.993\nAnswer: 40.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -206 - 848 + 2207 + 5572 + 1638 + 2*y in the form j + q*y and give j.\nAnswer: 8363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -2, 1, 22 in decreasing order.\nAnswer: 22, 9, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24485 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 643 + -629. What is the second biggest value in r, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-204)\/(-302)*(-249)\/66. Let z = n - -70\/453. Calculate the common denominator of z and (3353\/(-420) + 8)*((-8050)\/(-20))\/7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 26325*t + 57. What is the units digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 131 divide 29082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/6 - 9\/(-27). Let r be 47\/9 + (-8)\/36. Suppose r*c + v = 25. Solve 6 = 2*q - z + c*z, -q + 5*z = 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*c + 6 = -37*c. Let f(s) = -s**3 + s**2 + s - 6. Let d(z) = -5*z**3 + 5*z**2 + 4*z - 31. Let r(m) = 2*d(m) - 11*f(m). Determine r(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**3 + 459 - 459.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/5*1 - (-133300)\/(-108500))\/(-2).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14028097?\nAnswer: 14028097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 588499*b. Let o(p) = 10*p. Give o(h(v)).\nAnswer: 5884990*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -3*c + p - 12, -5*p - 32 = 3*c. Let k be (-3)\/6 + (-2)\/c. Solve 2*a + 10 + k = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lol when three letters picked without replacement from lolssossoo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 2*k**3 - 305*k**2 - 457*k - 770. Let y be i(154). Solve 31*m - 9*m - 154 = y for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and 42651?\nAnswer: 170604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 7776174 divided by -32673\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 - 18. Let j be (12\/(-8))\/(l\/64). Suppose k + k = j. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -266 + 266. Let w = -114.1 - -111.9. Put -5\/2, w, n, 1 in descending order.\nAnswer: 1, n, w, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 325.5 + -325. What is the smallest value in v, 0.8, -8, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2532513 (base 8) in base 7?\nAnswer: -5651660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-39 + 27 + 26)*(-440*k - 13 + 221*k + 215*k).\nAnswer: -56*k - 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20 - 29. Calculate the common denominator of -31\/2 and (82\/48)\/(3\/z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 1 = 3*d, 2*s - 3*d = -0 + 7. Suppose -2*i + 21 = 5*i. Suppose -2*j + 6*j + 3*g = 13, -j - g + 4 = 0. Solve -s*q = -i*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6 - 2*(-2)\/(-4). Let p = -3 + g. List the prime factors of p - 1 - 1*-11.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 divided by -117589?\nAnswer: -135\/117589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -1058.\nAnswer: 1\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of b**4\/4 - b**3 + 3*b**2\/2 - 2*b + 1. Let q be s(2). Let h(z) = -2*z**2 + 1 - z**3 - 2*z + q*z + 5*z**2. What is h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = t - 2. Suppose 7*x = -2*x + 5*x. Solve 0 = -x*b + t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x**3 + 69*x**2 - 357*x - 429 = 0. Calculate x.\nAnswer: -1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*x**4 + x**4 - 4*x**4 + (2*x + 0 + 0)*(3*x - 3*x - 2*x**3) + 24*x**4 + 21 + 3*x**4 - 34*x**4 - 2*x.\nAnswer: -9*x**4 - 2*x + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yjyjy. Give prob of picking 3 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + 6*-3*sqrt(405)))*-3)\/(sqrt(99)\/(sqrt(11)*-2) + (sqrt(9) - -5*sqrt(45)\/sqrt(5))).\nAnswer: -324*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of 13 and -41117.\nAnswer: -41104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - a0a74133?\nAnswer: -a0a74131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*j**2 + j**4 + 31 + 26 + 2*j**4 + 8 wrt j.\nAnswer: 12*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 456*k**2 - 24*k + 6. Let z(f) = 6839*f**2 - 364*f + 91. Determine 91*x(g) - 6*z(g).\nAnswer: 462*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a**2 + 11*a + 14. Suppose n - 24 = -0*n - 2*t, 5*n + 3*t = 85. Suppose -c = c + n. Is o(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 2*p**2 - 4*p - 1. Let b be y(3). Let m = -15105\/11 + 1373. Let d = -0.7 - -2.7. What is the nearest to b in m, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 19\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14502173 + -14502163.99999936. Let j = 9 - w. What is j rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.12 - 630.7\nAnswer: -630.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1572443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-19)\/((-95)\/4108))\/(10\/275)?\nAnswer: 2, 11, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + (7 - 12 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 875480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 15177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -3604*h**3 - 2385*h**2 + 1590*h - 1590. Let v(p) = p**3 - 3*p**2 + 2*p - 2. Calculate -2*u(q) + 1590*v(q).\nAnswer: 8798*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3057 and 273092?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 2*f - 15 = 0, -3*t + 21 = -4*f - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -199\/2640 and -157\/2640?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k + 2*d + 18, -3*k + 9 = 2*d - 3*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -884 + 883.8. Let p = -9 - -13. Suppose 0*v - 4 = p*v. Which is the closest to 0.2? (a) 1\/4 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 179 divide 170050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f + 8*f + 7412 = 2*i, f = -4*i + 14818. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*d - 37*d = 9. Let v be d*35\/(-15) - -3. Let f = -25\/2 + 79\/6. What is the closest to v in f, -1\/5, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**2 + 145*p - 19176. Determine m(-224).\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 5*a = -180, 4*l - 2*a - 150 + 2 = 0. Suppose 4*t - 2*z = l, 0*z - 8 = -t - z. Let v = -1 + t. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 15*n**2 + 5*n. Let s(w) = 7*w**2 + 2*w. Let d(f) = -2*i(f) + 5*s(f). Let v(b) = 4*b. Calculate d(v(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 40546451237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 4*a - 13 - 7, 3*r + 5 = a. Let t = a + 29. Suppose t = 2*p + 2*j, -62 = -4*p + 3*j + 6. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -28.4 - -0.4. Let k = q - -25. Let x = -1.9 - -2. Sort k, x, 0.3 in ascending order.\nAnswer: k, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -6297393 divided by 43\nAnswer: -146451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 43*c - 51*c. Is -43\/5 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kwykwwwyw. Give prob of picking 2 y and 1 w.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - -74877?\nAnswer: 74873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Total of -51479560.788757 and 1.\nAnswer: -51479559.788757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3 - 168*w**2 + 10764*w - 148720.\nAnswer: -(w - 26)**2*(w + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -54803 (base 9) to base 15\nAnswer: -ab9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -165*z**2 - 48. Let o be (-14)\/(-4) + 3\/2. Let x(j) = 327*j**2 + j + 94. Let r(g) = o*w(g) + 3*x(g). What is the second derivative of r(k) wrt k?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 213529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -4601347 by -289.\nAnswer: 4601347\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(((-2)\/4)\/(9\/(-9))). What is the nearest to -1 in c, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151*z**3 - 374*z**3 + 113*z**3.\nAnswer: -110*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3016 - -3016. Let l(g) = -g**2 - g - 69. Calculate l(u).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**4 - 2856*b**3 + 8580*b**2 - 8584*b + 2862.\nAnswer: -2*(b - 1)**3*(b + 1431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 1268 divide 95315256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 12 + -10 + -5 - -10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5313573.\nAnswer: 3, 196799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1296 and 1323?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/5? (a) -3\/62 (b) 3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -6*i - 45. Let p be n(-14). Let f be (p\/(-78))\/(-1*(-2)\/(-40)). Let w be 1 + 48 + -1 + 2. Calculate the highest common factor of f and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -146 - 499. Let r = x - 175. Solve t + r = -7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 2*c = 0, 5*p - 3*p - c = 0. Suppose p*s = s + 30. Let y = s + 51. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-4\/5)*s*s)\/(s**(-2\/15)\/s))**(-27) assuming s is positive.\nAnswer: s**(-666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1.579246 milligrams?\nAnswer: 1579246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 131233 (base 4) to base 12\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1846*u - 332*u + 35742 = -476*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w**2. Let z(m) = m**2 + m - 74598. Calculate z(l(i)).\nAnswer: 4*i**4 + 2*i**2 - 74598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 383085624.\nAnswer: 2, 3, 43, 317, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 3*t - 9, 0 = 4*v - 9*v + 3*t - 11. Sort 39, -5, 1, 0, v.\nAnswer: -5, v, 0, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**2 - 19*y - 2. Let g be v(-18). Suppose -43 = 9*r - g. What are the prime factors of (-1908)\/8*2\/r?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + 5 + -34 + (-1 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -5*k - 9. Let m be y(-4). Suppose -31 = -4*s - m. Calculate the least common multiple of 4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + 22*y**2 + 202*y + 44. Give t(29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 87 - -4e7?\nAnswer: 56e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -2*b + 4. Let y be h(-7). Let l be y\/81 - (-92)\/18. Factor l*n - 2\/3*n**4 + 4*n**3 - 8*n**2 + 0.\nAnswer: -2*n*(n - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68 less than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1305)\/(-25))\/3 - 4\/10. Suppose q*h - 29*h = -3732. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 526 - 523. Suppose -15 = -a + 4*o, -2*o - 28 = 3*a - y. Is a smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/7 (b) 1\/5 (c) -2233.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-66)\/4*(-30)\/9.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 14*p. Give z(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:35 AM and 9:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 1778?\nAnswer: 3\/1778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*f = 106458090 - 7482090. Round f to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**3 + 17275*h**2 + 20*h - 69100.\nAnswer: -5*(h - 3455)*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13149 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 - 3 = 3*m. Let v(b) = -7*b**2 - 13*b + 13. Let f(c) = -3*c**2 - 6*c + 6. Let u = 4 + -4. Let a = u + 6. Calculate a*v(y) + m*f(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.463 - -2.5. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -341 - -535. Suppose -5*d + r = -v, 3*r = d + 3*d - 153. Let i(c) = -13*c + 1. Calculate the remainder when d is divided by i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 3 + 0)*(-u + 2*u + u) + 1 - 1 - u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -565 - -316a?\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -17*t + 22. What is d(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/u**(-1\/2))**(-34)\/((u**(-4)*u)\/(u**7*u*u)))\/((u**(-8)\/((u\/(u**(3\/5)\/u))\/u))\/((u**(-6)\/u)\/(u\/(u**(-3)*u*u*u)*u))) assuming u is positive.\nAnswer: u**(-368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3837\/65 + 1186\/13. Is 33 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 0*r = q + 1, 3*q - 2 = -4*r. Let a(n) be the first derivative of -7\/2*n**q - 1 + 3*n + 1\/3*n**3. What is a(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11451 (base 6) in base 5?\nAnswer: -23222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -2*d**2 - 23*d - 62. Give q(-13).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5, 63, 275, 709, 1443, 2555, 4123?\n\"Answer: 13*p**3 - 6*p**2 - 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -18 (b) 42 (c) -0.02 (d) 0.4 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 2*t = 5*m + 31, -5*m - 35 = 5*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 212*q**3 + 1221*q**2 - 7*q - 21. Let t(i) = -107*i**3 - 610*i**2 + 4*i + 12. Let x(m) = 4*k(m) + 7*t(m). What is the third derivative of x(g) wrt g?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12 + -7. Let v be -1 - -4 - (-96)\/(-31). Let j = 47\/155 - v. Which is the closest to j? (a) 4 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -17, -14, 2.11?\nAnswer: 2.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -4) + (0 + 3 - (-4 + 5) - -33)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4773 = 13*n - 4630 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 114 and 99598?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 2:30 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 1)*(3*f - 2*f - 3*f) - f + 0*f + 3*f + 1 in the form z*f + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*w = -14*w. Find the first derivative of w*v + 35 - 37 - 3*v + 22 + 44 wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2342662*w**2 + 0 + 0 - 2342420*w**2.\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-90)*5)\/(-23*6\/10764)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (33\/7 + 10\/35)\/5. What is the second derivative of -31*c**2 - 8224*c**5 + 8223*c**5 + 22*c - r - 3*c**3 + 3*c**3 wrt c?\nAnswer: -20*c**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i**2 + 2*i**2 + 2*i**2)*(-10*i - i**2 - 9*i**2 - 28073882 + 28073847).\nAnswer: -20*i**4 - 20*i**3 - 70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5\/3)*k)\/(k\/(k\/k**(1\/39)))*(k**(-36))**(-3) assuming k is positive.\nAnswer: k**(1395\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 16472 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1\/4, 0.06, 0.07, 5\/6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -5, -4, 0.\nAnswer: -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 4*q - 6 = 0, -6*x + 2*q + 6 = -8*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 1\/2053 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 20*m - 1966. What is v(97)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 17*x**2 + 2476*x + 11953. Determine d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 2*p + 5 = 0, -3*p = -5*u - 2*u + 5. Which is the third smallest value? (a) -0.5 (b) 1 (c) 3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8196 - -396. What is l rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/2)*(b**(-10)*b)\/b*(b\/b**(1\/3))**(-10))**(-37) assuming b is positive.\nAnswer: b**(3811\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 280 and 2030?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 309887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4*3\/12)\/1. Which is smaller: d or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - 9*c - 60. What is u(16)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - 5. Let i = p + 8. Suppose i*b + 28 = 76. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 + 0 - 0) + -1. Suppose 0 = -3*f + 7 - 1. Suppose 6*l + f = 5*l. Sort l, 1, t.\nAnswer: l, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.12 + -0.62. Let u = 0.74 + w. Which is the closest to 0.1? (a) -11 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -599?\nAnswer: -3\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00674 rounded to four decimal places?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**2 - 7*s + 3. Let k be z(3). Suppose -3*x + 9*w = 5*w - 4, k = -x + 5*w + 5. Factor 1\/4*h**4 + 1\/4*h**5 - 1\/4*h**2 + x - 1\/4*h**3 + 0*h.\nAnswer: h**2*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2623 is divided by 694.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14.72 - -18.5. Let t = 188.22 + n. Let l = t + -191.999826. Round l to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 170099826 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -25 + -28 + 32 + 9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 + 5*o**2 - 3*o - 2. Let j(a) = 0*a**2 - a + 3 + a**2 - 5. Let u be j(3). Let m be k(u). Solve -b + 4*x = -5, 0 = 5*b + 2*x + m*x - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iidiidnidzdzznd. Give prob of sequence did.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + l - 5*l - 261 = 0, a - 3*l = -87. Is a >= -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 341352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s**5\/3 - 8*s**4\/3 - 11*s**3\/3 - s**2 = 0. What is s?\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 + x - 11. Let z be w(-8). Calculate the greatest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14085035 or 14085039?\nAnswer: 14085035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 296*h - 391. What are the prime factors of q(14)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1893 + 1513. Is a bigger than -761\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dnn when three letters picked without replacement from {n: 4, d: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.05 * -2.554805.\nAnswer: -0.12774025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -21399.842, -1 in decreasing order.\nAnswer: 3, -1, -21399.842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j + 3. Let q be w(2). Suppose -5*f + 4*v - 16 = 0, -3*f + 8*v = 4*v + 16. Suppose 21 = 4*z + 3*n + 6, f = -4*n + 4. Solve -2*b = -z - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 332675, 332662, 332649, 332636?\nAnswer: 332623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + 14 + (4 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -295\/4 (c) 5 (d) -1 (e) 3 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1062 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49106 is divided by 176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 6*w = -f + 21, -f + 7*w = -36 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-50)\/(-4)*(-22572)\/(-2090).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z. Let t(a) = -6892*a + 2. Determine t(q(k)).\nAnswer: 6892*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 415*c - 83476 = 374*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*d**2 - 2*d**2 - 4*d**2 + (5*d - 3*d - d)*(-2 + 4 - 3 + 4 + 0 - 1 + 1 - 2 + 2 + (0 - 1 + 0)*(-3 - 3 + 4) + 2 - 1 - 2)*(11*d + 8*d - 3*d).\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23729 - -39485. Suppose 0 = 6*z + 20*z - l. List the prime factors of z.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p + 15, 3*n - p - 945 = -254. Suppose -n = c - 5*c. What is the remainder when 8\/20 - c\/(-5) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1048, -763, -478, -193?\n\"Answer: 285*u - 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/(-49))\/(2\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -4*g + 52. Suppose 85 + 25 = 10*l. Let b be o(l). Suppose -126 = b*t - 14*t. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the first derivative of -m**2 - 7*m + 2. Let l be j(-9). Let x = l - -10. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8 or -2\/90993?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -74.9999875 - -75. Round t to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y**3\/5 + 297*y**2\/5 - 8037*y\/5 + 6627 = 0.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fzpkkkiizhz. What is prob of sequence hz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:02 PM and 2:57 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -81, -77, -73, -69, -65?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 32*b**2 - 25*b + 52. What is x(2)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -294*z - 106 wrt z?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jcchjhjcjhjchccjjc. What is prob of picking 1 h and 1 j?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2 times -2.52\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 62 + -113. Let g = i - -53. Suppose h + 3 = g*f + 2*f, 4*f + 2*h = -6. Solve -4*o + v + 15 = f, 4*o - 2*v = -0*v + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3409 a factor of 1409198040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*d - 7*d = -0*d - 0*d - 89*o - 713, 14*d - 3*o - 23 - 15 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (-16 - -10) - ((13 - 7) + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/18255407 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -219974 - -219974. Let x = -45 - -44.967. Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*m - 50*m - 3*n = -6, 3*m + 74*n = 77*n - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14*o**3*u**3 - 6*o**3 + 2*o*u**2 - 126*u**3 wrt o?\nAnswer: 84*o*u**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in h - 3*h + 3*h + 10*h**2 - 3*h**2.\nAnswer: 7*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -18865860 by -285.\nAnswer: 66196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the first derivative of -p**5\/15 - p**4\/6 + p**2\/3 + p\/3 + 2. Factor f(x).\nAnswer: -(x - 1)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1540 + -1535. Let w = -0.0105 - -0.5105. Which is the third smallest value? (a) w (b) o (c) 1 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2458 - -2457.7. Let g = -4 + 4.2. What is the nearest to 1\/2 in g, f, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5695.515us to weeks.\nAnswer: 0.0000000094171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -17 + 16.9. Let t(i) = i**3 - 15*i**2 - 35*i + 16. Let s be t(17). Which is the closest to s? (a) -1 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 434893489 to the nearest integer?\nAnswer: 20854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 90463089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of -1041*y**4\/4 - 260*y**3 - 422. What is the third derivative of o(h) wrt h?\nAnswer: -6246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -142*r + 283*r - 138*r. Let v(y) = 4*y**2 - y**2 + 3*y**2. What is v(m(s))?\nAnswer: 54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*m - 1709 - 331. Calculate the highest common divisor of m and 714.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27645273.\nAnswer: 3, 31, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuxux. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 317, 632, 947?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**3 - 5709507*m**2 - 2716536327165*m + 2716542036675.\nAnswer: -3*(m - 1)*(m + 951585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64 and 72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-68 - l - 3*l**2 + 2*l**2 + 63)*(6*l**2 + 0*l**2 - 8*l**2) in the form w*l**3 + c*l**2 + q*l + k + s*l**4 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 8*t**2 + 21*t + 148. What is the tens digit of i(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-22))\/2*(-77869)\/(-7079)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from szdzszsdqxg. What is prob of sequence dqx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 2*u - 44 = 0. Let t = 15 + u. Suppose -m - 5*g + 18 = -0*g, 2*g = -t*m + 18. Solve 4 = m*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 399 - 231. Let n = 171 - v. Factor -1\/3*u**n - 1\/3*u**4 + 0 + 0*u + 0*u**2.\nAnswer: -u**3*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 206*p**2 + 16*p - 2619. Let s(m) = -m**2 - 3*m - 2. Let h(w) = -g(w) - 6*s(w). What is the derivative of h(z) wrt z?\nAnswer: -400*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus 104187935?\nAnswer: -104187935.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of r**4\/4 + 11*r**3\/3 + 5*r**2 + 5*r + 2. Let g be d(-10). What is the first derivative of -3*i + 4 - g - 2 wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14874 and 814787?\nAnswer: 180882714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*v**3 - 22*v**3 + 4*v + 9*v**3.\nAnswer: -6*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 760281312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 + (3 - (18 + 0)). Let o be 78\/14 - 6\/a. Suppose 4*s + 5 = -5*d, o*s - 25 = s. Let j(f) = f + 7. Give j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 47.33 - 47.2445. Round l to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 332367334?\nAnswer: 2, 13, 12783359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -4*r**2 + r + 4. Let u(k) = -k**2 - k - 1. Let b be u(-2). Let q(m) be the second derivative of -m**2\/2 - 9687*m. Calculate b*q(a) - p(a).\nAnswer: 4*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*6*(-4 + -4 + 2*(sqrt(684)*-1 - sqrt(684)) + 1))**2.\nAnswer: 302400*sqrt(19) + 9893700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -776424 divided by -34?\nAnswer: 22836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 - 10\/(-4)) + 75\/(-50). Which is the closest to 2\/3? (a) -1\/2 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 135*x + 5*x + 50*x - 6840 = 0 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -5682 greater than -5781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -1, 9349, -0.2, 2\/83, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -7566, -14 in increasing order.\nAnswer: -7566, -14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3029111?\nAnswer: 17, 178183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92*c + 58526 = 111*c - 33947. What are the prime factors of c?\nAnswer: 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 36 = 4*m, 69 - 51 = 3*h - 2*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 5*i - 2*r + 157 = 0, 5*i + 2*r - 259 = 0. Suppose -22*o = -5*o - i. Solve -o = -4*y - y + 4*u, -2*y - 4*u + 18 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + a = -24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 252035483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 3*f - 2*a - 38, 5*f - 4*a - 166 = 0. Suppose -f*i + 34*i = 16. Suppose i*k = 29 + 883. Calculate the remainder when k is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -11\/331 (b) -0.1 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -206 + 126. What are the prime factors of 27\/(-6)*r\/15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9)\/12)\/(2\/(-24)). Suppose -j = -4*j + s. Solve j*k + 5*q - 7 = 0, 0 = 2*k - k + 5*q + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7*(14\/28)\/((-4)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 123*z**3\/2 + 281091*z**2\/2 + 181596*z + 41112 = 0. Calculate z.\nAnswer: -2284, -1, -12\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -835380 + -3\nAnswer: -835383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 23221101 (base 4) to base 10\nAnswer: 47697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = p - 11, 3655*p = -5*v + 3653*p - 38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23772408 divided by -224268.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 + 9*m**2 + 3*m - 11. Let a be f(9). Let r = a - 6. Let c = 5329 + -5324. Solve -r - 10 = -c*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*o + 3351 + 1897 + 0*o - 360.\nAnswer: -2*o + 4888","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2\/31 - 39\/124. Let g(u) = 3*u. Suppose -l - 1 = -2*l. Let y be g(l). What is the third biggest value in m, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 87*(-5)\/(-135) + -3. Let s(f) = -f**3 + 2*f**2 + f - 2. Let n be s(2). Suppose -20 = -4*m - n. Which is the closest to m? (a) 0 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 - 3*a**2 - 3*a - 1. Let o(y) = 2948*y**3 - 14*y**2 - 15*y - 5. Determine -o(q) + 5*t(q).\nAnswer: -2943*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -703982.96 to the nearest 10000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -59, -47, -13, 55, 169?\n\"Answer: 2*w**3 - w**2 + w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 5914675+-12.87\nAnswer: 5914662.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5683 is divided by 70.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1703613733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*y**2 + 10*y**2 - 45*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 471*o**2 - 1 + 504*o**2.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 692 divide 265123192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27518 is divided by 1167.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4178, 18870, 43356, 77636, 121710?\nAnswer: 175578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -108 - 47 - 4598*m**2 + 4599*m**2 - 45.\nAnswer: m**2 - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 58 times -15.8\nAnswer: -916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*a - 5*y + 10 = -13*a, 4*a + 10 = 5*y. Suppose -11*o + 242 = -a*o. What is the remainder when 75 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g\/((g*g\/(g\/(g\/(g\/(g*g**(-5))))*g)*g)\/g)*g*g**(-2\/7)*g*g**20*g**19 assuming g is positive.\nAnswer: g**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (24 - -1)*(-14)\/(-5). Let y(q) = -q**3 - 4*q**2 - 5*q + 1. Let s be y(-2). Suppose -s*p = -p - d. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4735.6252 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1154798, -2309634, -3464470, -4619306?\n\"Answer: -1154836*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 419257561+6\nAnswer: 419257567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 24\/16 - (-28)\/(-8). Which is the third biggest value? (a) 0.3 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 161593396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -1002022 (base 3) to base 16.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 - 5*a - 1. Let r be b(-3). Suppose -r*v + 13 = q + 3*q, -5*v + 2*q + 31 = 0. Let t = -19 + 22. What is the least common multiple of v and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -0*x - 3*x + 36, 5*y + 48 = x. Let w = y - -1. List the prime factors of 1 - (w - (-1 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t*t**(-2\/63)\/t))\/(t*t**(-20)\/t*t) assuming t is positive.\nAnswer: t**(1262\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 57, -0.4, 3\/5, -0.1 in decreasing order.\nAnswer: 57, 3\/5, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20519 + 22855. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13769498?\nAnswer: 2, 6884749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1289 + 1324 + (-3 - -5)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 + 11*l + 39. Determine j(17).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6 - -6) + (6 - 4). Calculate the greatest common divisor of 166 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of -u**5\/20 + 7*u**4\/12 + 4*u**2 - u + 2. What is j(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/(-3)*6\/(-4). Let r(t) = -t - 2. Let d be r(j). Which is greater: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 9 - -93?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -237.06 and 3.\nAnswer: -711.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-86731)\/1333 - -25) + (-10)\/(-155)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-8)\/(t*(t\/t**(-7\/4))\/t))\/(t**(-5)\/t*t**(1\/2)) assuming t is positive.\nAnswer: t**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 47 and 7861267?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 422 = -i, -b = -0*i - 5*i - 116. Let g = b - 104. Let m(t) = -t**3 + t**2 - t + 1. Calculate m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of 0*a**7 - 7\/24*a**4 + 0*a**3 + 1\/336*a**8 + 0*a**6 + 0 + 0*a + 0*a**5 - 2*a**2. Find the second derivative of d(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.3 - -0.1. Let t = m - -0.3. Let q = 45385 - 226924\/5. What is the nearest to q in 1, -6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5.9 + -84.9. Let g = -78.999953 - z. What is g rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -510*m**2 + 84. Let h(p) = 168*p**2 - 24. Let k(f) = -7*h(f) - 2*x(f). Let a(y) = -3*y + 0*y + 2*y. Give a(k(n)).\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 953386 to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*i - 12, -7 = 3*o - 8*o + 4*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 + 0.28. Let u = -0.16 + p. Let h = 0.12035 - u. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 11000131 (base 4) to base 12\nAnswer: ba51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v**5\/6 - 12890*v**4\/3 - 82113974*v**3\/3 + 12436883464*v**2\/3 + 328455904*v\/3 - 49747327616\/3 = 0. Calculate v.\nAnswer: -12964, -2, 2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 - 49*r**2 + 4*r - 113. Does 2 divide d(49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150\/90*(-9)\/((-270)\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 541026456 + -4?\nAnswer: 541026452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -3705 (base 8) to base 3\nAnswer: -2201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.7 in -15675, -0.4, 4\/3, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -2*q + 40. Let r be i(19). Suppose -3 = r*x - 5. Which is smaller: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -4*a**2 - 3*a + 89. Let h(b) = -b. Give z(h(u)).\nAnswer: -4*u**2 + 3*u + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p - 5. Let i be u(-3). Let f(t) = -t**2 - 9*t + 9. Let z be f(i). Let j(v) = 9*v - v**2 + 2 + 8*v - z*v. Calculate j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.30722l to millilitres.\nAnswer: 307.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**2 + 21*s - 37. Let i be f(16). Let w = i - 51. Let m(z) = -z**3 - 7*z**2 + 8*z + 11. What is the units digit of m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 437169.2 days to hours.\nAnswer: 10492060.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17361 + -17364.0258. Let g = -3.18 - w. What is g rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3, -16, 5, -1 in increasing order.\nAnswer: -16, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 - 19*u - 16. Suppose 2*h = 2*m + 25 + 21, 0 = 2*m + 3*h + 21. Let a be j(m). Let v be a\/5 - 207\/(-45). Solve -v*o = 6 + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 + -5. Let w(f) = f - 5. Let m be w(5). Suppose -q + 6*q - 26 = 3*x, -5*q - x + 18 = 0. Solve -4*u - 3*s + 22 = m, 0 = b*u - q*s + 2 - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n - 6. Let m(c) = -c - 7. Let a(o) = -3*m(o) + 2*y(o). Let b be a(3). What is the greatest common divisor of 28 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.07 or 6\/49?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 12:59 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5.2 - -9.6. Let x = i - 4.4. Let o(q) = q - 3. Let w be o(2). Which is smaller: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5477, -10981, -16525, -22115, -27757, -33457, -39221?\nAnswer: -45055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**5 - 10*h**4 - 132*h**3 - 392*h**2 - 464*h - 192.\nAnswer: 2*(h - 12)*(h + 1)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 24, 51, 78, 105, 132?\n\"Answer: 27*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rgl when three letters picked without replacement from jgjjzlgjrlglrzgljlg?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3410268366.\nAnswer: 2, 3, 79, 7194659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 11*q**2 - 3. Let o(y) = y**2 - y - 6. Let w be o(-2). Suppose w = 2*s + 3*s + 25. Let f(d) = 7*d**2 - 2. Calculate s*x(h) + 8*f(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17944 - 89717\/5. Which is the closest to 0? (a) r (b) -1 (c) -4 (d) 133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - 5. Let y(g) = 2*g + 6. Let d be y(i). Let z = -214\/3 - -643\/9. Is d bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**2 - 118*u - 605. Calculate v(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + -100111010111101111010111?\nAnswer: -100111010111101111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + 5*x - 55, -3*m - 49 = -x + 6*x. Let f be m\/(-5) + 2\/5. Solve -f*p + 4 = 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 -423*a*b**2 - 9*a*b + 7039*b**2 + 34509*b wrt b?\nAnswer: -846*a + 14078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5\/(-3))\/((-3)\/9). Let v(i) = -3*i**3 + 2 + 10*i**3 - 4*i**2 - 7*i - 6*i**3. Let f be v(g). Sort f, -2\/19, 1\/6 in descending order.\nAnswer: 1\/6, -2\/19, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 157851 is divided by 844?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 - -13030?\nAnswer: 13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - 1. Let w be (-23)\/(-6) - (-2 - (-1 - 5)). Which is the nearest to -0.1? (a) x (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 42*o + 21. Let k be q(7). Let u = k - 4723\/15. Which is the third biggest value? (a) u (b) 2\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 - ((-1)\/(-1) + -29). Let z = 2112 - 3878. Let t = -1721 - z. Calculate the highest common divisor of t and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 + 2)*(5 + 4*p - 5) + (-37*p + 14235 - 14236 + 291*p)*(-4 + 2 + 4) in the form f*p + z and give f.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, z: 3, f: 4, s: 1}. Give prob of sequence zzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 65374*l - 5949105. Determine w(91).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7657876?\nAnswer: 2, 1914469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of -5*d**4\/6 + 130*d. Let k(f) = 53*f. What is k(v(p))?\nAnswer: -530*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/3 (c) 0.516 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 18 = -v, -13 = 7*u - 6*u + 4*v. Let t = 5 + -3. Put t, -1, u, -4 in descending order.\nAnswer: t, -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/36 and -11\/30573?\nAnswer: 122292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 4 - 2. Suppose 4*o - 24 = -4*h, 45 = 6*h - h + 10*o. Find the third derivative of -1997*r**h + 3*r**2 - v*r**2 + 1996*r**3 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - 71?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 10. Let v = -6.8 - 1.2. Let k = -5 - v. Sort w, k, -3 in decreasing order.\nAnswer: w, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**3 - 9*o**2 + 2*o + 11. Let h be b(-9). Let w(r) = -r**2 + 11*r + 6. Let q be w(h). What is the common denominator of (-1)\/(-4) - 1150\/q and -42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*y + 174 = -141 + 71 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 38155 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/1623 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*m + 5*m - c, -2*m - 5*c + 31 = 0. Let n = 327 - 330. Sort 5, n, m in decreasing order.\nAnswer: 5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -87 + 52. What is the hundreds digit of (-203)\/(-2)*(-40)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 199\/9 - 9\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41355 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 4*sqrt(272) + 1 + -3*3*sqrt(272) + 2)**2.\nAnswer: -200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, t: 5, u: 1, b: 7}. What is prob of sequence bu?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(90\/(-53)) + (17 - 504\/27)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 105 + -105. Solve -20 = -3*o - o + 3*l, 4*o + 2*l = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4 + 2 + -12 + 2. Let s = x + 37. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 11560*d - 1 + 7965*d - 2542*d in the form t + w*d and give w.\nAnswer: 16983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of -526*q**3\/3 - 1033*q**2 + 5*q + 395. What is the first derivative of u(d) wrt d?\nAnswer: -1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -560*u + 7865. Does 367 divide a(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -114, 1\/7, -1\/11, -0.003, 0 in increasing order.\nAnswer: -114, -1\/11, -0.003, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -0.29, -8575, 0.3?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f - 4. Let c be j(8). Suppose 2*s - 98 = -c*u, 3*u = -0*s - 2*s + 102. Let b(p) = s - 3*p - 57. Let h(a) = -a. Calculate b(h(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4087682 is divided by 170320.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*c**2*o + 20238122*c*o - 64554*o - 1425 wrt c.\nAnswer: -8*c*o + 20238122*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 327800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 PM and 8:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2254646, -2254648, -2254650, -2254652, -2254654?\nAnswer: -2254656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 209, 207, 201, 191?\n\"Answer: -2*c**2 + 4*c + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 3, 4, 930.\nAnswer: 3, 4, 5, 930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8256*q**2 - 4220*q**2 + 2 + 0*q + 3*q + 390*q**2 - 5*q.\nAnswer: -12086*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 116598, 233174, 349746, 466314?\nAnswer: 582878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u + 60. Let g(q) = q**3 - 15*q**2 + 14*q. Let n = -52 + 66. Let l be g(n). What is the smallest common multiple of x(l) and 11?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 169 and 74828.\nAnswer: 972764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -52 + 54. Suppose 0 = -p*s - 9*s + 176. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3323527\/310504 + 3350\/1049. Let w = u + 42\/37. Find the common denominator of w and 1\/4 - (-53)\/(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) -6\/11 (c) 2\/23 (d) -5754 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 69 and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 - 4*v**2 + v + 2. Let w = 4 + -1. Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1016424101 + -4?\nAnswer: -1016424105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjuujuuuuuuuuuuu. Give prob of picking 1 j and 2 u.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -28 + 37. Suppose 0*o + 4*t + 21 = o, -4*o = -5*t - 117. Suppose 3*c - o = -r. Calculate the highest common factor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1508 - 1507.5. Which is the closest to -2\/3? (a) 5 (b) -5 (c) r (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 110854502 to the nearest 10000.\nAnswer: 110850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 7, a: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2\/30897 - -30905\/123588. Let x = 3 + -3.3. Which is the nearest to -1\/5? (a) s (b) -0.06 (c) x (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*s - 10*s - s**2)*(-168*s**2 - 273*s**2 + 1028*s**2 + 641*s**2).\nAnswer: -1228*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**4 - 92*h**3 + 316*h**2 - 228*h.\nAnswer: 4*h*(h - 19)*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 499340\/9 - 55391. Let l = a - 91. Are l and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 38*j**2. Let w(p) = -3*p**2 - 153. Calculate w(v(l)).\nAnswer: -4332*l**4 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 2*b = 2, 0*k - b = 2*k - 7. Suppose 2*v - 3*v = -k*l - 53, 232 = 4*v - 3*l. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c = 9*b + 61, c - b + 6*b = 6*c + 2*b - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 24475874307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**4*((i*i**3)\/i)\/i)**(-29))**(-8\/5) assuming i is positive.\nAnswer: i**(-232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -582958\/3026213895 - -11\/64165. Let t = w + 67490273\/943260. Let a = -74 + t. Calculate the common denominator of a and 59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 4*y**3 - 1 + 0 - y + y + 2*y**2. Let b(a) = -4*a - 21. Let t be b(-11). Suppose -t*u + 20*u = 3. What is s(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10 in -0.01, 13\/2, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 + 9*n**2 - 12*n + 12. Is a(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 11*2*(-1)\/(-4)*-2. Suppose v - 15 = -2*v. Let c = v - w. Calculate the least common multiple of 24 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.3671 - 3.7671. Let d = 0 + 3.9. Let y = 4 - d. What is the nearest to y in -1, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -2*k - 4. Let f be b(-3). Suppose u = f + 2. Solve -u*h + 3 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 140187191 is divided by 2992.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -60*q**2 - 1. Let u be a(-1). Let h = 27 - u. Let t = 154 - h. What is the highest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1275541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 5*f - 2. Let j = -6 + 9. Let c be k(j). Let d = -72 + 124. What is the highest common divisor of c and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of 3*a**3 + 18*a**2 + 232*a. Let w(s) = -s - 1. Determine k(i) + 36*w(i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s + 14. Let o be h(10). Differentiate o*u - 3 - 5*u + u + 4*u**3 with respect to u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8611.25769 seconds to weeks.\nAnswer: 0.014238190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*b + 7*b = -507 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence huu when three letters picked without replacement from {h: 3, u: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 2 r, and 1 b when four letters picked without replacement from {n: 5, r: 1, b: 6, e: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -379 + 515. Suppose -q = -5*q + b. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 24119*z + 1398. Is x(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1*(-2)\/6*-9. Let h = 4 - k. Solve -h = -3*u + 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 31816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**3 - 38977692*v**2.\nAnswer: 4*v**2*(v - 9744423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -171, -148, -115, -66, 5, 104, 237?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 41331 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2 + 135573*b + 271150.\nAnswer: -(b - 135575)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor w**3 - 86*w**2 - 357*w - 270.\nAnswer: (w - 90)*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2484 - 7446 - 13*y + 2475 + 2484.\nAnswer: -13*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 14 = 5. Suppose -r*s - 35 = -5*h, 2*h - 3*s - 31 = -2*h. Suppose 0 = -6*j + 3*j + 5*p + 65, 0 = -2*j - h*p + 80. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*v = -58*v + 1659. What is the greatest common divisor of v and 2449?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 436 divide 294003084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 41865409 = 41865408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -503 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 0.4, 1\/3, 108?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 6) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/7 or -786079?\nAnswer: -786079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -5\/119 (c) 108.215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4413306 is divided by 1477.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) -3 (c) 0.5 (d) -0.8 (e) 0.42 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/444354 and -95\/52558.\nAnswer: 4887894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6494?\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 673 + -475. Let p = b + -201. Let x(d) = d + 8. What is x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, g: 2}. What is prob of picking 1 g and 3 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/1444 and -51\/195776.\nAnswer: 3719744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 - -130. Let r(k) = -k - 103 + 3*k + u. What is r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118516, 237019, 355500, 473953, 592372, 710751?\nAnswer: 829084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -2. Suppose 5*q - 17 = x. Suppose -q*r + 3*z + 6 = 0, 3*r = 7*r + 2*z - 16. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5040) - (sqrt(5040) + (sqrt(5040) + sqrt(5040)*-2)*4))\/(sqrt(5)*1*2 + (sqrt(25)\/sqrt(5) + sqrt(5))*1)*-2)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 21098 and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 - 1)*(-2645*y**2 - 1422*y**2 + 981*y**2 - 1333*y**2).\nAnswer: 8838*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15.04 + -0.04. Let l = a + -16.2. Let r = l - -0.2. Is r at least 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b + 211 = 35. Suppose -3*j + 3*q = -0*q - 63, 5*q - 49 = -2*j. Calculate the least common multiple of j and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 - 4. Let s be 1 + (-2)\/n - 0. Suppose -5*q = 4*p - 39, -p - 9 = -4*p + s*q. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*k - 10*k + 4 - 2)*(-15 + 15 - 67*k**3 - 832*k**3) to the form y*k + g + f*k**2 + h*k**3 + v*k**4 and give v.\nAnswer: 8990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9899 + 9894 - 39729 + 9894 - 8*h**3 + 10042.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 41*u**3 - 5. Let t = -1278 - -1280. Let a(r) = 10*r**3 - 1. Calculate t*l(i) - 9*a(i).\nAnswer: -8*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 214309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 541*a**3 - 248*a**3 + 211*a**3 + 4*a**3 - 4*a**3 + a**3 + (a**2 - a**2 + a**2)*(-a - 2*a + 4*a).\nAnswer: 506*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/60 + 2\/(-8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from exzzgewzgzzzzz.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*x**2 + 738938*x - 738938*x - 1 + 1.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 11, 19, 33, 53, 79, 111, 149?\n\"Answer: 3*f**2 - f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j. Let t(z) = -5641651*z**2. What is w(t(m))?\nAnswer: -16924953*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 17 + i**2 + 5*i - 3 - 10. Let f = 13 + -18. What is the lowest common multiple of p(f) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 3*h - 49. Give m(-15).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -63 - -455. Let w = 1231 - a. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 1)*(277*s + 330*s - 804*s).\nAnswer: 394*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 38058 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 226218.\nAnswer: 2, 3, 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do -9434 and -9443 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from owwo. Give prob of sequence ow.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3.2 in 0.4, 0.0253, 0.2, 0.1?\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 72897, 144705, 216515, 288327, 360141, 431957?\nAnswer: 503775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6\/37 in -2\/9, 0.154, 4, -0.48?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 7709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 15*w. Let i(k) be the second derivative of 0 - 17*k - 1\/3*k**3 + 0*k**2. What is v(i(z))?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*q + 2*q - 12*q + 296 - 294 + 6*q.\nAnswer: -26*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 587776, 585719, 582290, 577489, 571316, 563771, 554854?\n\"Answer: -686*u**2 + u + 588461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from fzmmzkkzkmm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 731cb - -b?\nAnswer: 73209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18 - -50. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - 2. Let p be (-3)\/(1 + 2)*5. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 1 = -2*r. Let q(y) = 3*y**2 + 6*y - 1. Let j(s) = -s**2 - s. Let b(i) = r*q(i) - 6*j(i). Let w be b(-1). Solve 5*a + w + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -409*u + 6 = -404*u + 2*s, -4*u - 9 = -3*s. Let f = -4607 - -225755\/49. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -98 + 129. Suppose -26*r + n*r + 40 = 0. Is -57\/7 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 738 and 144.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 46840 and 4500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -v**5\/8 - 141*v**4\/2 - 75869*v**3\/8 + 544323*v**2\/4 + 1648944*v - 5909760 = 0. What is v?\nAnswer: -288, -10, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176*a - 188*a = -1056. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 20 = -2*q. Let u be 16\/(5 - 3) + q. Suppose -2*l + 0*l - 4*a - 8 = 0, -2*a + u = 5*l. Let z(g) = -g**3 + 4*g**2 + 4*g + 4. What is z(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2440 and 1378112?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -5257*f + 5238*f - 153 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -5) + 1 + 0 + (52 - 44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 3 - 3 + 3 + 0 - 3*s. Let i be q(2). Is i bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2419 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6862593 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - d + 17 = 3*h, -5*d + 52 = -2*h. Solve 4*u - d = 6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 84035, 168116, 252255, 336458, 420731, 505080, 589511?\nAnswer: 674030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, l: 2}. Give prob of sequence llw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9424651619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*100\/(-15))\/(34738\/(-1452) + 24).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(90) + (1*sqrt(90) - sqrt(90) - sqrt(90) - sqrt(90))*5)\/(sqrt(20)*-4))**2 - (-4 + sqrt(72) + (sqrt(18)*-3)**2 + 0).\nAnswer: -4327\/32 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2121 + 132?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 2*d. Let b(p) = 10 - 27 - 3*p + 11 - 45*p**2 + 9*p. Let u(w) = 45*w**2 - 5*w + 5. Let h(y) = 5*b(y) + 6*u(y). Determine i(h(v)).\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the second derivative of h**6\/15 + h**5\/5 - 2*h**3\/3 - h**2 - 186*h. Factor l(a).\nAnswer: 2*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*h - z + 47 = 0, 0 = 49*z - 27*z - 24*z + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23 + 6 + 6 - 6*w + 11 to the form o*w + c and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3705640 divided by 25\nAnswer: -741128\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -217 - -93. Let l = p - -124.4. Which is the second smallest value? (a) -12 (b) l (c) 3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 22.73621 to one decimal place.\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 5*t + 4*v = -36, 0 = t + 4*v + 11. Calculate the lowest common multiple of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -301*o + 21. Let n be z(-2). Suppose -m = -2*q - 158, -4*m + 4*q - 5*q + n = 0. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 8, u: 2, m: 1, f: 4}. Give prob of sequence ffvu.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 - 8*s**2 - 14*s + 6. Let x be c(-5). Solve l - x = 2*a, 0*l - 4*a = -4*l + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 2*c + o, -4*o - o - 25 = -4*c. Suppose c*v = 3*v - 12. Find the second derivative of 3*a - 3*a**v - a + a**4 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 41181, 41186, 41191, 41196, 41201, 41206?\nAnswer: 41211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -3809 at most -45695\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 4*z**3 - 3*z**2 - 3*z. Let i be 7*11\/(9 + 2). Let x(s) be the second derivative of 7*s**5\/20 - 7*s**4\/12 - 7*s**3\/6 - 9*s. Calculate i*u(c) - 3*x(c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 5*l + 5. Let y(b) = 1. Let h(n) = -5*y(n) + z(n). Let f(u) = -4*u**2. Calculate h(f(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 315*p**2. Let t(w) = -3*w**2. Determine i(t(m)).\nAnswer: 2835*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3.2 + 2.8. Which is the biggest value? (a) 6 (b) 2\/13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2)\/(-4) - 1)*(1 + -5). Suppose -5*d - u - 22 = -0*u, -w*d = u + 7. Let o(i) = -5*i - i**3 + 4*i**2 + 2*i**3 + 0 - 3. Determine o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:03 PM and 4:34 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 203 a factor of 3454672399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**(1\/4))\/(j\/(j*j**21*j))*j*j*j\/(j\/(j\/(j*(j\/(j**(3\/4)*j*j*j))\/j)))*j*j**(5\/8)*j)**33 assuming j is positive.\nAnswer: j**(8217\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.01978961623 + 0.01979. Round k to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/56 and 13\/252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 z, and 2 o when four letters picked without replacement from zzlzzoio.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*i + 28*i - 280. Let l = -82 - -138. Calculate the highest common divisor of l and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 0 + 1861 + -1835 - 29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 42080 and -0.0666?\nAnswer: -2802.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of 0 - 1\/9*v**4 + 1\/10*v**6 + 0*v**2 + 0*v**3 - 1\/5*v**5 + 1\/18*v**7 - 3*v. Suppose a(n) = 0. What is n?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wabeu. What is prob of picking 1 a, 2 u, and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2. Let t(w) = -2*w. Let a(r) = -166*r. Let x(p) = 3*a(p) - 24*t(p). Determine i(x(g)).\nAnswer: 202500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l - 72 = -293. Calculate the greatest common divisor of 377 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -2*i - 6. Let f be (-34 + 3 + 3)\/(-1). Suppose f*p = 14*p. Give m(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/13)*(((p\/(p*(p*(p**2\/p)\/p*p)\/p))\/p*p)\/p)\/p)**49 assuming p is positive.\nAnswer: p**(-1862\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**1*k)**(-8)\/(k**0*k**(-2\/7)\/k))\/(k**(3\/8)*k**5*(k**0)**(-14\/13)) assuming k is positive.\nAnswer: k**(-1125\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 479*d**3 - 5776*d + 5776*d + d - d + d**3 - 2*d**3 + 4*d**3 - 4*d**3 - 2*d**3 + 3 - 3 + (-d + d**2 + d)*(4 - 4 - 2*d) - 2*d**3 - 3*d**3 - 2*d**3.\nAnswer: 467*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 2a (base 14) to base 9\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 8 = -0. Let z be (-2 - 93\/(-6))*20\/30. Suppose m + z = 4*s - s, -s + 4*m - b = 0. Solve -i - 2*i + 4*y + 1 = 0, s*i + y = 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 4*a + 1. Give z(-12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*b - 23*b + 4*b - 68*b to the form g + l*b and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 350623 - 524442. Let w = r - -103919. Round w to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of 14*o**5\/5 - 44*o - 23. What is the first derivative of l(j) wrt j?\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6 and 707706.66.\nAnswer: 4246239.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -3*r + 11. Suppose -3*x - 330*g + 325*g + 12 = 0, 3*g = -3*x. Determine y(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/118238 and -57\/2.\nAnswer: 118238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 442 + 62 = 3*i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -138*c = 48*c - 744 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 7*j. Let a(r) be the second derivative of r**3\/3 + r. Calculate a(v(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j**2 + 108*j + 941. Let c be v(-11). Put -53, 5, c in decreasing order.\nAnswer: 5, c, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 0*u - 60. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 1468675350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -71, -92, -117, -140, -155, -156, -137, -92?\n\"Answer: n**3 - 8*n**2 - 4*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of 7*h**4\/12 - 3*h**2\/2 + h + 16. Give i(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27929989 is divided by 185?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + -1 - (-2 + -5). Calculate the least common multiple of 18\/8 + (-2)\/c and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 222112 (base 4) to base 8\nAnswer: 5226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 122 + -27 - 38 - (0 + 15)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 41 = 61 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-29*d**2 - 1 + 398*d - 398*d)*(6*d**2 + 0*d**2 - 4*d**2 + 2*d**2 + d**2 - 4*d**2 + (-2 + 2*d + 2)*(2*d - 5*d + 0*d)).\nAnswer: 145*d**4 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 s, and 2 o when four letters picked without replacement from {j: 1, t: 8, p: 1, o: 3, c: 1, s: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -202339?\nAnswer: -2\/202339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (17 - 2) + 37 + (-41 - -12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3 + -2 + 3 - 0. Let b be (4 - 4)\/(c + 1). Suppose b = -4*q + q + 3*j + 216, -q - 4*j = -67. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 - 3*d**2 + 4*d**2)*(5*d**2 + 4*d**2 - 6*d**2).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2866 - 372583\/130. Let i = 23\/130 + f. Factor i*c**2 + 6\/13*c - 8\/13.\nAnswer: 2*(c - 1)*(c + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*p**2*y**3 - 3714878*p**2*y + 234*p*y**2 - 33308*y**3 wrt p?\nAnswer: -6*y**3 - 7429756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 45 = 5*z, 5*z + 2*c - 2 = 7*z. Suppose -5*i = -2*x - 26, 0*i = 4*x - 3*i + 24. Let q = x - z. Solve -d = -0 - q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -11*z**2 + 8*z - 5. Let b(c) = -17*c**2 + 12*c - 8. Let f(o) = -5*b(o) + 8*m(o). Let p(n) = n**3 - 16*n**2 + 21*n. What is -11*f(x) + 2*p(x)?\nAnswer: 2*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -9 (base 16) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 117414106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is y in -y**5\/9 + 39*y**4 + 1787*y**3\/9 - 829*y**2\/3 - 1786*y\/9 + 712\/3 = 0?\nAnswer: -6, -1, 1, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 7*z + 654. Let s = z - -306. Suppose -c + 3*c = -o + 24, 4*o = -4*c + s. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 862 = -5*l + 877. Let j be (-8)\/(-6) + 4\/6. Let h be (3 - l)*j*(-4)\/24. Solve h = 2*i + 3*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -325*j = -317*j - 80. Factor 5\/3*p**4 - 20\/3*p + j*p**2 + 25\/3*p**3 - 40\/3.\nAnswer: 5*(p - 1)*(p + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -19363 or -19244?\nAnswer: -19363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4592*h*w**3 - 34483*h - 3*w**4 wrt w.\nAnswer: -13776*h*w**2 - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 4. Let u = 0.34 + -0.24. What is the nearest to u in i, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(170) + (sqrt(170) - (sqrt(170) + sqrt(170)*1))) + sqrt(170))\/(sqrt(80)\/(sqrt(8)*-1)) - (1*sqrt(85)*-1)\/(6*-2*sqrt(5)).\nAnswer: -13*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 71 = 4*o. Let t(q) = q + 18 + 0*q - o. Let r(x) = 12*x**2. What is t(r(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 302 is divided by 33\/(-2)*8\/30*-10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*j**2 + 7*j**2 + 0*j**2 - j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.2, 20, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17273*v + 17328*v + 17270*v - 69143*v + 17268*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 341308 and 2508.\nAnswer: 19454556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -856957*q**3 + 37121557?\nAnswer: -2570871*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-54)\/(-30)*(12 - (-6)\/(-3)). Suppose 0 = 18*p + w - 90. Solve 5 = 3*m - 2*c + c, 2*m - p*c = 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -158 plus 292.8?\nAnswer: 134.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -w**2 - 7*w + 5*w - 5*w**2 to the form l*w**2 + s*w + p and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-28 + 17 + 10)*(5 - 5 - 1)*(c + 0*c + 0*c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 931*b**3*o + 2*b**2*o**3 + 160*o**3 wrt b?\nAnswer: 2793*b**2*o + 4*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -49*d + 41*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 42 divided by -9\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 435374.941 rounded to the nearest one thousand?\nAnswer: 435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 + -1. Let j = -2.254 + 1.754. Which is the smallest value? (a) f (b) 8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - w + 7 - 60 = 0, -2*l + w = -109. What is the remainder when l is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 = 2*v - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 20 = -2*b, -3*b - 2*d = -5*d - 30. What is the remainder when 39 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 30189489 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9184, -38574, -87542, -156088, -244212, -351914, -479194?\nAnswer: -626052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 125098.\nAnswer: 2, 62549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 7 - -17 - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -185, 21, -1088 in decreasing order.\nAnswer: 21, -185, -1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) + -3 + sqrt(80)*-2 - sqrt(80)) + 3 + sqrt(80)*-1.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5834*n + 6500 = 5509*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -230956612 divided by 4?\nAnswer: -57739153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04717334 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 5*x + 4*l, 0*x = -2*x + 4*l + 10. Let o be ((-8 + 9)\/((-8)\/10))\/(-4 + 31\/8). Solve 0*m + 17 = -3*w + 5*m, -2*w + x*m = o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 4*z. Let a be (z + -8)*484\/(-16). What is the greatest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1210, 6 in descending order.\nAnswer: 1210, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in 2\/13, -0.2, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 5*g + 10 = 0, 0*g = -4*h - 4*g. Suppose 0 = h*q - 1 - 54. What is the remainder when 32 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -14, -8, -4, -2, -2, -4, -8?\n\"Answer: -q**2 + 9*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -9 + 0*m**2 + 0*m + 2 - 3*m + m**2. Let f be k(5). Suppose f*h = 11 + 31. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(36)\/(sqrt(6) - (sqrt(54) - sqrt(6))))\/(sqrt(363) - (sqrt(363) - (sqrt(363) + 1*sqrt(363))))*-1)*3.\nAnswer: 3*sqrt(2)\/22 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 PM and 12:04 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 10. Let a = 7 - b. Solve 0 = p + 3 + a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + 4*(3*((sqrt(612) + 1 - sqrt(612)) + sqrt(612))*1 - (-2*(sqrt(612) + -2) + 4)))*-2)**2.\nAnswer: -14400*sqrt(17) + 980100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the first derivative of m**3\/9 - 3*m**2 + 80*m\/3 - 586. Factor p(b).\nAnswer: (b - 10)*(b - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59 - 22 - 17 - 205*u - 20.\nAnswer: -205*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2159666.\nAnswer: 2, 131, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 15 = -3*s, 5*r - 3*s + 20 = s. Suppose 2*x - 440 - 2816 = r. Let b = x + -907. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -23*i**2\/4 - 75573*i\/4 - 56628 = 0. What is i?\nAnswer: -75504\/23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 17456 and 13092?\nAnswer: 52368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 + 10*g**2 - 24*g - 4. Let h be k(6). Put h, 0, 4, 5 in decreasing order.\nAnswer: 5, 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 203735033.\nAnswer: 203735033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -887*i - 3*z + 21 = -890*i, 13 = -3*i - 5*z for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m - 151 = 155. Let g = -29 - m. What is the remainder when 7 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.12, -1\/3, 1, 0.3 in descending order.\nAnswer: 1, 0.3, 0.12, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the second derivative of 3*t**5\/20 + t**4\/6 - 2*t. What is the third derivative of l(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {n: 2, f: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (10 - (-11029)\/(-1107))*(-26 - 31)?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -209\/6, -7, 0.4, 2\/9, 0.2?\nAnswer: -209\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add 3.3 and -0.01.\nAnswer: 3.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22, 40, 70, 118, 190, 292?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -r + 4, r = 8*r - 14. Let z be -6*((-10)\/(-6) - 1). Put -3, 9, f, z in descending order.\nAnswer: 9, f, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 1150*r**3 - 3*r**2 - 3*r + 28. Let x(b) = 2295*b**3 - 5*b**2 - 5*b + 56. Let y(i) = -3*x(i) + 5*z(i). What is the first derivative of y(j) wrt j?\nAnswer: -3405*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -110448 in -0.4, -1\/2, 1\/8, -0.2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:47 AM and 4:33 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2626035 is divided by 525.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.29 * 14.77456.\nAnswer: -4.2846224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 - 8*z - 9. Let m be v(-6). Let q be 4 - (2*-1 - 0). Suppose l + q = 3*w, -5*w - l = m*l + 7. Are w and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1085948 + 2164537. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -11*g**2 - 96*g - 3896. Let q(h) = 7*h**2 + 69*h + 2597. Let u(d) = -8*q(d) - 5*s(d). Factor u(y).\nAnswer: -(y + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7442 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25.7 + -1809158221.\nAnswer: -1809158195.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 260 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(1\/11)\/m)\/m)**(1\/14)*(m*m**(17\/5))**8)**(5\/11) assuming m is positive.\nAnswer: m**(3857\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 45 - 18. Calculate the highest common divisor of k and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.02 + -5.02. Let q = p + 1. Let f be ((-16)\/(-392))\/(45\/21 + -2). Which is the nearest to -13? (a) -0.2 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 1075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:06 AM and 9:36 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.02521 - 0.0252089647. Round q to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.067569*-0.3.\nAnswer: -0.0202707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-246)\/(-15) + 33\/55. What is the third derivative of 2 - 54*g**3 - 54*g**3 - 127*g**2 - 1 + f*g**3 wrt g?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -144 - -147. Let j(h) be the second derivative of 1\/12*h**4 - 3*h + 0*h**z + 0 + 2*h**2. Differentiate j(f) with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-4) - 126\/56. What is the second smallest value in -0.02, 1, f?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -172 = -3*s + 92. Let k = 794\/9 - s. Let z(m) = -m**3 - 17*m**2 - 2*m - 30. Let x be z(-17). Which is the smallest value? (a) x (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 2*y - 0*p - 79, 0 = 5*y - 3*p - 275. Suppose -y = -11*q + 69. What is the greatest common factor of q and 484?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bogyllt. Give prob of sequence lo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -91 - (81 - 53 - 113).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 290704 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -270 (base 8) to base 15\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -140 + 140.06. Sort 1, 0.5, a in increasing order.\nAnswer: a, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1*1*-1 - -1. Let a be (-1*(-2)\/6)\/2. Let h = -0.541 - -0.341. Put k, a, h in descending order.\nAnswer: k, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 505589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 19 - 12. Let z(t) = -y - t**2 + 0*t**2 - 6*t**2 + 3*t**2 - 9*t. Let b be z(-6). What is b rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000395261 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -21*p**4 + 21*p**2 - 5*p. Let d(x) = 52*x**4 - 52*x**2 + 12*x. Let b(t) = -5*d(t) - 12*i(t). Find the third derivative of b(a) wrt a.\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19 - -14. Let f = -3.92 - 0.08. Let x = f - r. What is the second biggest value in 2\/9, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -2856, -1\/11?\nAnswer: -2856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6611 + -9 + (0\/(-2) - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 PM and 10:15 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b + 1. Let k(u) = 25*u - 2. Let v(m) = -k(m) - 4*o(m). Is v(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 14400*5\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 + 5640*v + 384413. Give a(-69).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1425544 (base 6) to base 4.\nAnswer: -103323220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3a (base 12) to base 11\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -62 + 70. Let g(x) = 3*x**2 - 6*x - 9. Let k(h) = -13*h**2 + 23*h + 36. Let p(a) = -9*g(a) - 2*k(a). What is p(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -228.076 + 0.076. Let w = m + 225. Is -10 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 21*i - 124. Let p(a) = 5*a - 41. Determine -19*p(b) + 6*x(b).\nAnswer: 31*b + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5760665631 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1719319299, -1719319298, -1719319297?\n\"Answer: p - 1719319300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26 - -28. Suppose 0 = 5*c + p*y + 3*y - 20, -y = 4*c - 1. Let x(r) = r**2 + r + 1. Determine x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -2*a**3 - 2*a**2 + 2*a + 2. Let o(z) = -3*z**3 - 4*z**2 + 5*z + 5. Let r = -1440 - -1445. Determine r*u(j) - 2*o(j).\nAnswer: -4*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 56 + -3*(-12)\/342 + 4 + 655\/95?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -424550 + 1311?\nAnswer: -423235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -7. Suppose m*p = 2*p + 24. Let z = 6 + -1. Solve -o - z = -p*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 6. Let s = 0.52 + -0.02. Let v = 3 - 3.2. Sort s, v, i.\nAnswer: i, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6380\/(-12309)*(3 - 9\/(-6)). Let o = p + 33167\/33570. Find the common denominator of 74\/9 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 - 4*v + 5. Let y(i) = -i**3 + 10*i**2 - 7*i - 16. Let s be y(9). Suppose -3*j = -3*l - 0*j - 21, s*l = -2*j - 6. What is x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the third derivative of h**4\/24 + 11*h**3\/6 + 3*h**2. Is y(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 282*v - 2176 = 154*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) 3\/13 (b) -73 (c) 44 (d) -0.1 (e) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -3*x - 208. Let t(u) = -7*u - 419. Give 9*a(j) - 4*t(j).\nAnswer: j - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes before 12:53 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 97.884 * 9251.\nAnswer: 905524.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -94 - -98. Which is the nearest to -2? (a) 0.1 (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -223*v = -117*v - 114*v + 47128. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -1. Let v(c) = c - 8. Let l = -6 + 16. Let q be v(l). Solve k = -0*o + q*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/6)\/(((-135)\/(-18))\/(-15)). Let n(g) = g**3 - g + 3. Let y be n(0). Suppose y*f - 2*f - a = 0, -p = -5*f + 5. Is p > -1\/116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/13 + 2460\/(-65). Let h = n - -23. List the prime factors of ((-12)\/h)\/(5\/175).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 720089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -3*h. Let v be 2\/2*2 - 0. Let w(u) = -3*u**v + 10*u**2 + 3*u**2. Let n(a) = -7*a**2. Let y(q) = -7*n(q) - 5*w(q). Give y(t(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -p - 3*p**2 - 72*p**3 + 2*p**2 + 75*p**3 + 2*p**2 to the form j + n*p + g*p**3 + m*p**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3866*k**4 - k + 846 wrt k.\nAnswer: 46392*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 52*n + 11*n**3 + 25*n + 17*n**3 - 2*n**2 - 75*n - 1. Determine w(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 2*q - 2*i - 7, -2*q = 2*i - 14. Let f(r) be the first derivative of 1\/3*r**2 + 0*r + 1\/9*r**q - 3. Factor f(c).\nAnswer: c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 + -5.4. Let l(a) = -a**2 + 5*a + 5. Let n be l(6). Let i = 31\/188 - -4\/47. What is the closest to i in n, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + (5 - -3) + (-10 - -15) + 54\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -17*f + 27 - 16 + 57 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 344 = -2*i, 0 = -3*i + 4*i - 5*y - 154. Suppose -2*x + 0*x = -4*d + i, -5*x = -2*d + 75. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4*5)\/((-40810)\/(-1166)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 125 divided by 5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.2113 * 52.8\nAnswer: -11.15664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 102605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61689*q**2 + 61689*q**2 + 79*q**3.\nAnswer: 79*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -48 * -25.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 978 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: Calculate the greatest common factor of 30 and 1790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 3*z - 41. Let h(u) = -u + 14. Let j(q) = 7*h(q) + 2*w(q). What is the units digit of j(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -3320*l + 99745. Determine w(30).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.001 and 2041.\nAnswer: -4084.041","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = 19*j - 17062. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 + 26 = 3*m. Let d = m + 14. Is 6\/11 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*v = 36*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2 and -27.4.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/72 and (2\/(-1848)*-3)\/(420\/9310)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q, 1 b, and 1 z when four letters picked without replacement from qzllbpbq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = 0, 4*j - 17*r + 16 = -19*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from etgghe. Give prob of sequence tg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2478965554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 66 + -43. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2749464 and 264?\nAnswer: 30244104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 11 = 2*p, -p - i + 3 = -7. Suppose -49 = -4*d + p. Suppose r + d = 2*r. Calculate the highest common divisor of 70 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of s**4\/12 + s**3\/3 + s**2. Let w(z) = 22*z**3 - z**2 + 1. Let d be w(-1). Let q = 19 + d. Calculate u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 907 is divided by 220?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -10*y**2 + 5*y. Let q(z) = -9*z**2 + 6*z. Let o(i) = 6*j(i) - 5*q(i). Let t(c) be the third derivative of c**4\/12 - 294*c**2. Give t(o(h)).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i - 4 - 10 = 0. Suppose 5*m + 5*t - 210 = -80, -i*t = -8. What is the highest common factor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*m**2 + 5*m - 2*m**2 - 5*m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -14, 60, -9 in descending order.\nAnswer: 60, 4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p**5 - 5*p**4 + p**3 + 17*p**2 - 22*p + 8 = 0. What is p?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 956*f**3 + 82463*f**2 - 146534*f - 1232 = 0 for f.\nAnswer: -88, -2\/239, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -31*i**2 - 2*i**3 + 19*i**2 + 16*i**2 - 1 - 2*i**4 to the form n*i**2 + p*i + s*i**3 + j + x*i**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/6)*x*x**(3\/2)*x*x**(1\/2)\/(x\/(x*x*x\/(x\/x**(-3)*x))))**(-2) assuming x is positive.\nAnswer: x**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8501762, 17003392, 25505022?\nAnswer: 34006652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72715193.\nAnswer: 43, 1691051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from egegg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 9340 = 138*n + 329*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -972*i**2 + 34984*i + 294. Calculate p(36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2748 + 4390. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 57\/171*7\/1155*-9.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 111201 (base 3) to base 8\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1236995 to 4 dps.\nAnswer: 0.1237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 115489.9 micrometers in nanometers?\nAnswer: 115489900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2582107?\nAnswer: 11, 43, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 5*a = -2*c - 3, -3*a + 1 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/((12\/(-30))\/2). Calculate the lowest common multiple of 4 and ((-315)\/(-6))\/y*2\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 310395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 219 divided by 84\nAnswer: 73\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 910762*n**2*z - 5*n*z - 8*n + 2*z - 17 wrt n?\nAnswer: 1821524*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*j**2 + 8*j + 0*j**2 + 7*j**2 wrt j.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1235 and 11265423.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 736546 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*r**3 - 4*r**3 + 16 + 13*r**3 - 34 + 17.\nAnswer: 15*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of -h**6\/8 - h**5\/60 - h**4\/24 - h**3\/6 + 4*h**2. Let y be j(-1). Find the common denominator of 21\/5 and (-61)\/y - 1\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5*(sqrt(245) + -1)*4 - (-5*(sqrt(245) + 1) + sqrt(245) + -1*sqrt(245) + -1))*-6.\nAnswer: -3150*sqrt(5) + 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -1\/9 (b) -66 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -138 - -37. Let z = -62 - f. Let n = -37 + z. Let t(p) = 3*p - 2. Calculate t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 - 22*m**2 + 103*m - 17. Calculate the remainder when 674 is divided by u(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - (11 - -1)) + 9 - (43 - 83).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2393380489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is 1336.7391 + -1.0826?\nAnswer: 1335.6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.4, 34\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -3*l + l**3 + 3*l + 6*l - 8*l + 5*l**2 + 0*l - 1. What is b(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9.872 - -0.988. Let z = 0.86 - q. Which is the smallest value? (a) -0.3 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2 + m - 6. Let a be l(0). Is 13 a factor of (-1 + 27\/15)\/(a\/(-195))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -22*d + 596. Let q be r(27). Which is smaller: 20\/73 or q?\nAnswer: 20\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4126 is divided by 143.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*y = -26*y - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3 and 30333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**4*k**(-5))\/(((k**0*k)\/k)\/k)**29)\/(k**(-1\/4)\/(k*k*k**(1\/9)*k)*(k*k**(-3))\/(k**1\/k)) assuming k is positive.\nAnswer: k**(1201\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 10346 (base 8) to base 10.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 2679\nAnswer: 535.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -5 + 0 - 2*k + 1 - 5. Let p be c(-4). Calculate the remainder when ((-338)\/(-65))\/(p\/(-5)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in 2\/3, -0.4, 1, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**3 - 6*o**2 + 3*o + 12. What are the prime factors of x(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 - (5 - 4 - -4). Factor 0 + k + 33705*w**2 - 33710*w**2 - 75*w.\nAnswer: -5*w*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53700419 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 583, 589, 597, 607?\n\"Answer: k**2 + 3*k + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((1701\/(-4))\/21)\/(((-18)\/(-32))\/((-366)\/244))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 9) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/11? (a) -2 (b) -1\/2 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0 + (7 - 4) - 0 - -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88 = -0*g + 2*g. Suppose -4*z = -5*a + 9 - g, -11 = 2*a - z. Let s(m) = 2*m + 1. Determine s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 3*w**2 - 2*w + 4. Let j(a) = 9*a + a - 26*a**2 + 10*a**2 - 21. Let o(t) = 7*t + 33. Let z be o(-5). Give z*j(x) - 11*m(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 5*h - 4, -7*n + 6*n + h = -2. Suppose 5*o + 31 = -4*y + 2*o, -35 = 5*y + n*o. Sort 2, -5, -1, y.\nAnswer: -5, y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/10)\/(((-9)\/30)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 2 + 1 + 1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(288) + (sqrt(288) - (-2*sqrt(288) + 5)) + sqrt(288))*-6 + 1*sqrt(288) + -1 + (sqrt(288)*2*6)**2).\nAnswer: -41501 + 348*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 23592\/827 less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2\/7))**(1\/16)\/(g**5\/g**(-5\/6))*g**(-1\/8)\/(g*g**(2\/9)*g)*(g**(3\/8)*g)\/(g\/(g**(-3\/5)\/g)) assuming g is positive.\nAnswer: g**(-23747\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 5*q**2. Let s(l) = 16*l**2. Let b(o) = 3*s(o) - 10*t(o). Let a(v) = 2*v**2. What is a(b(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {x: 1, d: 1, r: 2, o: 9, e: 6}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -17*f + 326. Let b be x(16). Calculate the highest common divisor of 16 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 39 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + (sqrt(4400) - (sqrt(4400) + (sqrt(4400) - sqrt(4400)*-1)))\/(sqrt(48)\/(sqrt(60)\/sqrt(5))))*-2)**2.\nAnswer: -480*sqrt(11) + 17636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 20\/7 - (-8)\/56. Solve -r*h - 2*h + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123711.7 millilitres in litres?\nAnswer: 123.7117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 62 - 65. Let t be h\/15 - ((-45852)\/10)\/6. Is (t\/6)\/((-22)\/(-33)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 3) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4.14379 - 4.127. Let y = 0.021 - g. Round y to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 707058 and 589215.\nAnswer: 3535290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 1133 = 413. Let t = 650 - r. Let i = -12761\/44 + t. Find the common denominator of i and -41\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 5\/1429936 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 5:52 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 86 and 229749?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -994*x + 983*x - 24 - 97 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*(-1 + 2) + 1. Suppose y = -3*o - 1 - 2. Does 4 divide o\/(-3) + 234\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c + 1. Let b(n) = 69*n - 5. What is 2*b(o) + 10*q(o)?\nAnswer: 128*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 94497483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 305*b**3*n**4 + b**3*n**2 + 181*b**3 + 2*b**2*n**5 wrt n?\nAnswer: 7320*b**3*n + 120*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/20585 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2531.402 - -10.402. Is 0 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 353 = -7*p + 9901. Suppose -17*i + p = 27*i. What is the remainder when 184 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - j = -3, 0 = -2*n + 6*n - 2*j - 36. Calculate the remainder when (-1)\/(1 - 28\/26) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 - (-45)\/(-5) - -6. Solve f = 5*n - 12 + 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**3 - 3*s**2 + 2*s - 4. Let x be n(4). Suppose -3*i + i = 92. Let z = i + x. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((5\/6)\/(13425\/19332))\/((8\/(-55))\/(-4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {x: 6, y: 2, o: 1, t: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 213\/(-71)*-2*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30, 24, 14, 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the third derivative of 0 + 20\/3*m**3 + 0*m + 16*m**2 + 1\/15*m**5 - 1\/12*m**4. What is the first derivative of v(q) wrt q?\nAnswer: 8*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*z**2 - 1 + 2*z**2 - 3*z**2 - 7*z**2 as a + s*z + d*z**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 1043601\nAnswer: 1\/1043601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101 - 10000011?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1071*q - 3201*q + 1065*q + 1070*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*t - 2*t = 270 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25, 11, 81, 191, 347, 555?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -2422 by 2.\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of 0*y + 1\/3*y**3 + 0 + 4*y**2 + 1\/12*y**4. Give k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*t + 0*t + 0*t + (0 + 4 - 2)*(2*t + 3*t - 4*t) - 3*t + 6*t + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 162 + 408 = 19*n. Is 30 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - 0. Let s be 10*3\/q*-2. Suppose 2*d = 4*d - 3*o - s, 4*d - 3*o = 21. Solve -3*v + d + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67103373 to the power of 1\/2, to the nearest integer?\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -142502345 (base 6) to base 3\nAnswer: -12111222010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3 or -44\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d - 3. Let i be b(-6). Suppose -i*t - t = -8. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2079 and 29085.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 7*n**2 - 10*n + 2. What are the prime factors of a(5)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-155)\/124)\/(5\/(-8)). Let y(p) = 2*p**j - 1 + 10*p**2 + 5*p**2 - p**2 - 11*p**2. What is y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -8.2, -1\/9, -8?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ywuuwwwuuuuwetw. Give prob of sequence we.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -436 + 808. What are the prime factors of y?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 23755136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 2:15 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 36 + 38 + 3*l - 68. Let g be h(-2). Which is the nearest to g? (a) -4 (b) 0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -0.5, -20, 1\/5, 3 in decreasing order.\nAnswer: 3, 2\/9, 1\/5, -0.5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -117 - -817\/7. Let l be (35\/28)\/(201\/804). What is the closest to t in l, 2\/11, 21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*f + 22*f - 60. Suppose -63 = -3*n - f*c, 0 = -2*n - 13*c + 15*c + 56. Solve -5*o - n = -0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-25)\/(-2) - 7\/14. Solve k = -0*f - 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, -0.3, -2\/23, 229, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11057*g**3 - 21316*g**3 + 2*g - 2*g + 10795*g**3.\nAnswer: 536*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1104\/7 - 158. Let g be (11\/1)\/((-11)\/(-11)). Let o = 23\/2 - g. What is the nearest to o in s, 0.5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (8\/3)\/(-4)*-3. Let t(k) = k - 4. Let s be t(0). Let w be ((-4)\/1)\/(s\/4). Solve 5*i + 10 = w*r - 3, -14 = -a*r + 4*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 4 = 0, 0*t + 866 = 2*t + 4*l. Suppose t = 2*n + 5*i, n - i = -3*i + 213. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -9*j - 25. Let z be c(-3). Let p(m) = -m**3 - 3*m**2 + 5*m + 1. Let i be p(-4). Sort i, z, -5.\nAnswer: -5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -4*k - 251, 6*k + 91 = j + k. Suppose 80*p + 90*p - 12263 = -3083. Calculate the highest common divisor of p and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-1)\/2)\/((-15)\/6). Let f = -6.08 - -0.08. Let c = f - -6. What is the third smallest value in c, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t + 25 - 7 = 0, -t + 13 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of 2*z**5\/35 - 5*z**4\/7 - 32*z**3\/21 + 58*z**2\/7 - 66*z\/7 - 9. What is w in q(w) = 0?\nAnswer: -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -f0 + -247?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*p = -14*p - 112. Let o(r) be the third derivative of -p*r**2 + 1\/24*r**4 + 0 + 1\/5*r**5 + 0*r**3 + 0*r. Find the second derivative of o(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2206311589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -199 + 201. Let b(x) be the first derivative of 1\/4*x**j + 0*x - 5 - 1\/6*x**3. Determine q, given that b(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 + 0 = -4*z. Let n(q) = -q**3 + 3*q**2 + 4*q + 1. Let s be n(4). Let o = s - z. Solve -5*r - o = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 736478598 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 132 = -4*q, -4*q + a - 6*a + 172 = 0. Which is smaller: 40 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f + 6*f = -120. What is the highest common factor of 150 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.52743 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 4*d. Let l = d - 1. Let o be (-86)\/352 - (1551\/528)\/(-47). Is l at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21654423 is divided by 773372.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of 0*u**5 + 2\/3*u**3 + 0 + 0*u**4 - 4\/5*u**6 - 15*u + 0*u**2. Find the second derivative of v(t) wrt t.\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*(n*n**(-3))\/n)\/(n**(2\/15)*n)*n*n*n**(1\/7)\/n*n*n*n**8*n*((n**(-3)*n)\/n**6)**(-1\/12) assuming n is positive.\nAnswer: n**(1016\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 26\/4791 smaller than 5\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in -230104, -230217, -230404, -230665, -231000, -231409?\nAnswer: -231892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 564, 562, 560?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**3 - 2*y**2 + 5*y + 1. Let l = 35 - 101. Let d = l + 62. Determine b(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 21842 and 14018?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -36*h. Let s be f(-1). Let n be 14\/(6\/s*(-4)\/1). Let a = n + 47. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.2779 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t + 2. Let k be q(0). Let s be (-6)\/15 + (-46)\/10. Let o be (-1 + 1)\/(s - -3). Solve -3*d = -3*x + 8 - k, -4*x + 3*d + 11 = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 9 and -4.41.\nAnswer: -39.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6967 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 4*a = -49 + 64, 57 = 6*h + 3*a for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((s**2\/s)\/s)\/s*s*s**3)**41)**(-18\/13))**(-8\/11) assuming s is positive.\nAnswer: s**(17712\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 6) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 936.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 - 13. Let o = 93 + -81. Let r = w + o. Calculate the greatest common divisor of 68 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 4*o**2 + 10*o + 2. Let g(w) = w**2 + w. What is -10*g(y) + j(y)?\nAnswer: -6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the first derivative of -x**8\/1008 - x**7\/630 + x**6\/360 + x**5\/180 + 3*x**2\/2 - 1. Let f(m) be the second derivative of s(m). Factor f(r).\nAnswer: -r**2*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 + 13*s - 6. Let i be q(12). Let m(l) = 434999*l + 6. Let u be m(i). Round u to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.03 and -0.27626?\nAnswer: 0.0082878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be 74\/6 + 2\/3. Let j be (238\/(-8))\/((-3)\/12). Suppose 3*o = -w + 39, 4*w + 2*o - j = 37. Calculate the greatest common factor of r and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*-6*(-1*sqrt(6480) + 1) + -2)**2 + 1.\nAnswer: -20736*sqrt(5) + 2099777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 448015.\nAnswer: 5, 89603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 6:27 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 - -2)*12\/24. Suppose 4*m = p + 5, 0 = -3*p + m - r*m + 7. Suppose -2*n = -d, -n = -p*d + 4 + 1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 3*z, -5*l + 0*z + 2*z = -15. Suppose -l*x - 1000117 - 1749883 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12120 (base 3) in base 13?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.89 + -0.99. Which is the closest to 0? (a) -8 (b) y (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 61*s - 3 - 60*s + 3 - s**2. Suppose o - 30 = -4*r - 8, 2 = o. Suppose 0 = -5*i + 4*j - 16, 0 = r*j - 14 - 6. What is m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand l**3 - 4*l**3 + 0*l**3 + (3*l**2 + 0 + 0)*(-2*l - 3 + 3).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 6424 divided by 146?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -2*y**2 + 31*y - 2. Let x(j) = -8*j**2 + 123*j - 9. Calculate -9*v(m) + 2*x(m).\nAnswer: 2*m**2 - 33*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -43 - 19*j + 73 - 2*j**2 - 35. Give f(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 + 77*y + 2082. Determine h(98).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 22 + 33. Let k(f) = 4*f + 12. Let i be k(-16). Let o = i - j. Which is the biggest value? (a) -6\/11 (b) o (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 8*d + 19. Let q be a(14). Let s = -285 - q. Let u(x) = -x**3 - 4*x**2 + 4*x - 4. Let c be u(-5). Sort 7, s, c in increasing order.\nAnswer: c, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 + 11. Let p = i + -9. Let x = 275.9 + -276. What is the nearest to x in 0.1, p, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/3275 and -32?\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25597326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 + 10*o**2 - 10*o. Let n be v(8). Suppose -2*s - n = -6*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u - 4*j + 178, 196 = -2*u + 6*u - 5*j. Let y = u - 19. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -66530 (base 8) in base 7?\nAnswer: -144416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20358706793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45*-330.\nAnswer: -14850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/9 and -57\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -0*r - 10. Let l = 14 - r. Let k be 1\/((-3)\/(l + -10)). Solve 5*h = 4*i - 2, -i + 2*h = -k*h - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b + 2. Let t be d(5). Let f(q) = -21*q**2 - 3 + 24*q**2 - 7 + 3. Let n be f(-2). Put t, n, 2, -2 in decreasing order.\nAnswer: n, 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 501458 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 8277 = 5*n, x - 3*n - 244 = 1804. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 354.5 + -355. What is the nearest to -0.1 in 2\/41, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-138)\/92 - (0 + -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 52180805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -119, -491, -1111, -1979, -3095, -4459?\n\"Answer: -124*w**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of q**6\/120 - q**5\/12 + q**4\/4 - 2*q**2. Let g = -12 + 16. What is the units digit of z(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -8*u - 11. Let k(j) = 7*j + 10. Let q(l) = 2*d(l) + 3*k(l). Does 18 divide q(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 302*b**2 - 2*b. Let q = -60 - -59. List the prime factors of c(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6 + 4219?\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2785, -5505, -8225, -10945, -13665, -16385?\n\"Answer: -2720*u - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -958 (base 10) in base 2?\nAnswer: -1110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 576 a factor of 2620800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19.2 - -21.2. Which is the nearest to l? (a) -5 (b) -1\/4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 91*f**2 - 4903278 + 4903278.\nAnswer: 91*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -7 divided by 372819\nAnswer: -7\/372819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 4*t + 2 = -u, 6*u = -t + 81. Let g = -157\/574 - 1\/82. Let l = g - 3\/14. Sort u, -2\/3, l, 1 in increasing order.\nAnswer: -2\/3, l, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -470 = u - 3252*h + 3209*h, 16 - 5 = h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be -6*((-2)\/4 - 0). Let v(r) be the first derivative of 2*r**2 - 1 - 2\/3*r**f + 0*r. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1327194 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 20145027 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3234 (base 7) to base 9\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 831 + -1056. Which is smaller: y or -226?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 501 + -500.347. What is q rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 + 69*u + 604. Determine r(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:28 PM and 2:10 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 499 times -81.45?\nAnswer: -40643.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 0.11, 59\/4, 3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4094 divided by -89.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71 is divided by 4 - (770\/(-77) - (1 + 3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 612629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((5 + sqrt(76)*1)**2 + 4 - -5*(0 + (sqrt(76) + -2)**2)) + -1.\nAnswer: -20*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of -o**7\/1680 + o**6\/96 - 13*o**5\/480 - 5*o**4\/16 - 3*o**3\/4 + 2*o**2 + o. Factor a(c).\nAnswer: -(c - 6)**2*(c + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13980379 and 1099.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:32 PM and 1:09 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4727 a factor of 1834015977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -64227 take away 41?\nAnswer: -64268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 2*r**2 + 3)*((1 - 6 + 3)*(6*r + 2*r - 2*r) + r + 2*r - 6*r) in the form m + s*r + l*r**3 + p*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.0482 + 3.1182. Let t = z - 0.07. Is t at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 f when four letters picked without replacement from yggkyfkfufgf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-6))\/((-70)\/(-30)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - -2. Calculate the common denominator of 11\/6 and (1\/2)\/(x\/(-15)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 277951296 divided by -4342989\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3995 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 5*g + 108. Calculate z(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:28 PM and 1:33 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, a: 2}. Give prob of sequence oaoa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45571 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o + 2*o + 3*o)*(-3*o**2 - 3*o**2 + 4*o**2) + 44*o**3 - 23*o**3 + 14*o - 23*o**3 - o + 0*o**3 - 3*o**3 + o**3.\nAnswer: -10*o**3 + 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**3 + 2*z**5 - z**4 + z**5 + 5*z**4 - 5*z**4 + z**2.\nAnswer: z**2*(z - 1)*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 286688 (base 9) to base 2.\nAnswer: 101010110110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7002?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.292 + 0.692. Put -4, -0.07, -1, a in descending order.\nAnswer: a, -0.07, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 65.80347375 to two decimal places.\nAnswer: 65.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 + 4*a**2 - 4*a + 1. Let v be z(3). Let f be (10\/6 + v)\/(-4 - -5). Is -0.157 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 0.03 (c) -42\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 239*l**3*w**3 - l**2*w**3 - 3*l**2*w - 4*l*w wrt l.\nAnswer: 1434*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 0, -4, 2 in ascending order.\nAnswer: -4, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 5*a = -1659. Let d = a + 911. What are the prime factors of d?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1027 is divided by 149.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 17*i - 106. List the prime factors of g(17).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is b75 - -b?\nAnswer: b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*m - 0. Let o be (m\/(-1))\/((-2)\/(-2)). Solve 4*v - 3 = 1, 0 = b - o*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100100 + 11011110000?\nAnswer: 11100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 364937, 365299, 365901, 366743, 367825?\nAnswer: 369147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3069 and 620.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-8) - 42\/(-8). Suppose 19 = d*f - 1. Suppose 3*v = 4*s + 5*v - 18, -3 = -f*s + v. Solve 0 = 2*n + s*l - 8, 2*n + 0*l + 10 = 4*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 2 e, and 1 z when four letters picked without replacement from xyxxxteztztttte?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = 15, -v - i = 4*i - 31 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/164 and -53\/574?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kecexcc. Give prob of sequence ce.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -9*n**2. Let d(g) be the third derivative of g**4\/24 - g**2. Calculate x(d(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 186.51018 months to centuries.\nAnswer: 0.15542515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 2\/555, 9, 5?\nAnswer: 2\/555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1045 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**2 - 4*o - 2. Let i be c(4). Let n be (1 + -3)*(i + 0). Suppose -n*x + 88 = -0*x. Calculate the highest common divisor of 55 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 PM and 12:42 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 400121*k**2 - 4*k - 3736016 wrt k?\nAnswer: 800242*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7260*s - 8376*s - 2473400 = 8037*s + 20647*s for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -9502, 0, -2 in ascending order.\nAnswer: -9502, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 697628 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.0495 + -0.5495. Let v = 32 - 23. Let t = -7.9 + v. Which is the second smallest value? (a) j (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/6*144\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -1 + (0 - -1) + 5 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 771 + -609. Suppose 0*x - 15 = -3*x. Suppose -3*u - 413 = -x*t + 136, 3*t - 5*u - 339 = 0. What is the greatest common factor of r and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -33 - 506026?\nAnswer: -506062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 + o + 2. Suppose -3 + 9 = 3*k. Let z be p(k). Suppose -4*y + 3*a + 22 = z, y = -0*y + 2*a + 8. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 6:32 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-242)\/1936)\/((10\/208)\/(-5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 623921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**3\/15 - 16*d**2\/15 - 2*d.\nAnswer: -2*d*(d + 3)*(d + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.65725 times 20?\nAnswer: -13.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o\/(o\/(o\/o**1))*o*o*o*o))**(-41)\/((o\/(o*o**(-3)))\/(o**(-5\/2)\/o))*((o\/o**(1\/2))\/o)**(-1\/7)*(o\/(o**1*o*o))**(-3\/14) assuming o is positive.\nAnswer: o**158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 11) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 226*c - 221*c - 5*k = 0, 12 = -5*c + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 6 = -t. Let y = t - -10. Solve -5*s - 29 + 2 = -2*a, -y = -2*a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -5*h + 1, -5*a + 6*a - 3*h - 19 = 0. Calculate the least common multiple of 24 and a + 1\/(5\/25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 27978290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -4 + 11 + -1 + (-1 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -564 + 492?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.7 - -0.3. Let q be (3\/9)\/((-2)\/(-3 + -45)). Let t be 1*(32\/6)\/q. Which is the third smallest value? (a) t (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 + 5 = 10*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -883 = -7*k + 2*k - q, -4*k + 713 = 3*q. What is the greatest common divisor of 385 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 - 15*m**2 + 8*m + 13. List the prime factors of y(15).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -751*y + 3*y**2 + 753*y + 10 - 4. What is the remainder when f(-2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1010129431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjv when three letters picked without replacement from svjfvffjjadff.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 15908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 11:10 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 79 + -78.91. Let d = -2.0538 + -0.0362. Let h = p + d. Sort 5, h, 0.4 in decreasing order.\nAnswer: 5, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 + 346*t**2 + 350*t + 1224. What is i(-345)?\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-1\/24))\/(((m*m\/m**(6\/17))\/m)\/m)*(m*m**(-1\/20))**(27\/2) assuming m is positive.\nAnswer: m**(14419\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-2\/3)*h**(1\/5)*h)**(-1\/22))**(2\/15) assuming h is positive.\nAnswer: h**(-43\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3970 is divided by 1317.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w + 448 = 13*w. Suppose 30 = 2*o + 2*k, 0 = -2*o + o + 5*k + 9. Calculate the greatest common factor of o and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 2 = 4*i + 1, 3*i + 5*z - 27 = 0. Solve 2*v = -3*s - 8, i*s + 2*v + 0*v = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2*z**2 + 11*z - 7. Let g be n(4). Suppose g*w = -5*l + 25, 14*l = 13*l - 2*w + 7. Suppose -3 - 1 = -2*h. Solve -3*d = m - h - 1, -l*d + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*t + 2*t + c, 0 = t - 2*c + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7204132 to the nearest integer?\nAnswer: 2684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14154682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*v - 16 = -48*v. Let b be (6\/v)\/(6\/8) - 0. Determine k so that -1\/2*k**3 + 1\/2 - 1\/2*k**2 + b*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/8*(64\/(-28))\/(5\/(-7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 7 = -38. Let v be ((-15)\/(-4))\/(f\/(-48)). Suppose 0 = 4*r - 12 - v. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54429?\nAnswer: 3, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 x when three letters picked without replacement from vxyvkvxqyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -27090 by -430.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 - -0.2. Let j = -3.83 + 1.83. Which is the second smallest value? (a) 2 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -79 - 7*v + 79.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 178*d - 592*d = 522*d + 17784 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1328 and 320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.35 - 0.05. Let z = t - -1.4. Let c = -2 - z. What is the nearest to 0 in c, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 402 - 377. Solve 32*c = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -10010020 (base 3) to base 10\nAnswer: -2274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19348 + -328818\/17. Let b = 550\/119 - k. Do b and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 731630093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3 - (7 + -5 + -4 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.581 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*(66\/(-550))\/(((-4)\/(-55))\/4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 24 - 22. Suppose m*x = -2*x - 4*v + 208, 3*v - 12 = 0. List the prime factors of (-9)\/4*(-1664)\/x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.1 + -0.8. Let h = p + 0.2. Which is the biggest value? (a) 2\/9 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 10*n + 3120 = 0. What are the prime factors of 253600\/n*(-3)\/(-2)?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 183895 and 183895.\nAnswer: 183895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3011633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**2 - 7*j - 34. Determine n(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 12:52 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/6 - 6\/(378\/(-153)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1204 + -1170. What is the remainder when 463 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -363, -542, -733, -942, -1175, -1438, -1737, -2078?\n\"Answer: -l**3 - 172*l - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 590 and 2124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106141.\nAnswer: 7, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 + 8*h**2 + 8*h + 10. Let s be w(-7). Suppose -2*r + 4*f = -6, 0*f + 2 = s*r + f. Is (2 - r)*(0 + 89) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1302077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 58083480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5673267*u**4 - 54232*u + 26 wrt u?\nAnswer: 68079204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 16) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -4*v + 0*v - 4*v + 70 + 7*v - v as p + y*v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3102.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22 + 47. Is 13 a factor of y - (0\/2 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - h - 334 = h, 2*h = 0. Suppose 15 = -4*q + p. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -734*d + 366*d + 367*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 1239 = -201. Let w = 2515\/7 - q. What is the common denominator of -31\/3 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b = 3*b - 1953. Let n = b - 173. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 11511546 * -0.1\nAnswer: -1151154.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80*d**2 - 74164 - 35*d**2 - 46*d**2 + 74164.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6773732*a**2 - 3386866*a**2 - 3386860*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + ((sqrt(130) + -4*(sqrt(130) + (sqrt(130) + -3*sqrt(130) - sqrt(130))))*-6)\/(sqrt(90)\/(1*sqrt(324))))**2.\nAnswer: 3240*sqrt(13) + 1364713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 + 2*l + 12. Give n(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 18 (base 16) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 3 + 4)*(-12 - 1 - 11)*(-p + 2*p + 0*p) + 21*p - 13*p - 34*p.\nAnswer: -170*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 1:39 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y and 1 g when four letters picked without replacement from {y: 5, r: 1, k: 5, g: 2, h: 1, o: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 228963779 a multiple of 4721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = r + 4*j, 0 = -5*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*q - 50 = -28*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of 5*y**4\/4 - 25*y**3\/3 - 165*y**2\/2 - 135*y + 586. Determine p, given that x(p) = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-10) - (-279)\/45. Let p(q) = 8*q**2 - 5*q. Let f(y) = -4 + 3 - 13*y**2 + 1 + 6*y + 4*y**2. Let m be 69\/15 + 2\/5. Give k*p(z) + m*f(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 189527 and 0.3.\nAnswer: 56858.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-11 - -8)*40\/6. Let q be -3 + 4\/(o\/(-25)). Solve 5*w - 2*d = -27, -q*w - 11 = -0*d - d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 121*y**4\/8 - 17237*y**3\/2 - 499949*y**2\/8 - 105501*y - 51930 = 0. Calculate y.\nAnswer: -5, -12\/11, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x + 3*l - 39, -32*x + 3 = -34*x + 3*l for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 5. Let c = -1049 + 11525\/11. Is v >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1560 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 11 * -0.08.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 168 + 23. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -44. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -11 - (3\/(-1) - -1). Let u(a) = 15*a + 86*a**3 + 4*a**2 + 211 - 85*a**3 - 193 + 7*a**2. Does 9 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -761*g = -769*g + 14936. Is g smaller than 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**2\/7 - 688*u\/7 - 2816\/7.\nAnswer: 4*(u - 176)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2260530*y. Let t(h) = 362*h**2. Calculate t(j(s)).\nAnswer: 1849818508885800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes after 12:12 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -d*v**2 + 42985*d - 23361*v**4 with respect to v.\nAnswer: -2*d*v - 93444*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h = 30*h + 25*h - 1608. Let p(o) = o**2 + 8*o + 7. Let u be p(-7). Let q = u + h. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173 a factor of 24567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 - 15*g - 12. Let i be u(-14). Let t be (2 - (-1)\/(-1)) + 1. Are t and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 36, 46, 46, 30, -8, -74, -174?\n\"Answer: -n**3 + n**2 + 14*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -317, -282, -227, -152, -57, 58, 193?\n\"Answer: 10*h**2 + 5*h - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(2916))\/(2*sqrt(1728)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -201053781 divided by -593079\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 262 and 9.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/6*-8)\/(1088\/96)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69 + -71 - (0 - (-15 + -56)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 - 9. Suppose 4*g + 5*w = 291 + 20, -g + 82 = -v*w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**3\/7 + 10312*b**2\/7 + 844160*b\/7 + 17011200\/7.\nAnswer: -4*(b - 2658)*(b + 40)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131502804*v + 3 + 2 + 131502810*v - 5.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from xddnvdxenn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 70 and 4573142?\nAnswer: 22865710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is ((-11474)\/(-6))\/((-8)\/(-24)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -80, -3148, 3, 1, -4 in increasing order.\nAnswer: -3148, -80, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1330251, 2660502, 3990753, 5321004, 6651255, 7981506?\n\"Answer: 1330251*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88887.\nAnswer: 3, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -104204 - -40?\nAnswer: -104144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -192 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + -2 + -1 + (3 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of -o**6\/72 + o**3\/2 + o**2\/2 + 34*o. Let r(f) be the second derivative of a(f). Let i(v) = -12*v. Calculate i(r(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let j = 24 + -17. Let k(g) be the third derivative of g**4\/24 - g**3 + 41*g**2. Determine k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1447161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of -a**7\/126 + 2*a**6\/9 - 19*a**5\/10 + 6*a**4 + 3*a**3\/2 - 54*a**2 - 113*a - 3. Factor o(w).\nAnswer: -(w - 12)*(w - 3)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of 2*n**3\/3 - 26*n**2 + 41*n - 1304. Determine l(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 6669394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-6)\/24)\/((-1)\/8). Suppose -2*u = 2*u - l*u. Let q(v) = -v + 110. List the prime factors of q(u).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1608, -1605, -1592, -1563, -1512, -1433, -1320, -1167?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 47*l. Let d(u) = -62055*u. Calculate d(i(z)).\nAnswer: -2916585*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -614*h + 4938*h + 1139*h + 6991*h + 1 in the form f*h + w and give f.\nAnswer: 12454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 68099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 35\/5781 and -113\/94836?\nAnswer: 182748972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 4, 1, 32, 2 in increasing order.\nAnswer: 1, 2, 4, 12, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 24, 2396, -1, 0, -3, -5, 3 in ascending order.\nAnswer: -5, -3, -1, 0, 3, 24, 2396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 29720 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14 + 2746?\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1 + 0.4. Let x = 2019 + -1151. Let o = 866 - x. What is the closest to o in 0.03, y, 2\/13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + -4)*-1*(-6 + 5). Let y(l) = l**3 + 5*l**2 - 5*l - 4. Give y(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, 2100, 0.3, 4\/7, 6\/5, -3\/7, 8?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**2 + 8*t**2 - 4*t**2 + (6 + 1 + t - 1)*(-5*t + 0*t - t).\nAnswer: -2*t**2 - 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p - 32. Let x be m(-17). Solve 3*f = -3*o - 12, 5*f + x*o - 3*o = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of (-4600)\/150*66\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 38 and 81434?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2378 - 407. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-8)\/3)\/(2\/(-3)). What is the third derivative of -p*a - 2*a**3 - 2*a**2 - 3*a + 7*a wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -745858.7674 rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, d: 2, r: 1, h: 4, a: 5, x: 1}. What is prob of sequence yd?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 29 - 21. Let h = -5 + p. Let m = -2 + h. Is m not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -6*g**2. Let k(w) be the third derivative of -w**5\/60 + 2*w**4\/3 - 668*w**2. Determine k(r(t)).\nAnswer: -36*t**4 - 96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 121420 (base 5) to base 13.\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 940?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 885.5571um to millimeters.\nAnswer: 0.8855571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -53603 - 59655 = -1423*w + 14812 for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3142*o + 6233 = -3413*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -3) + -18 + -4 + 12 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + -1.5. Let y = w + -0.8. What is the closest to 5 in 2, y, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 5:11 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7245 = 450*x + 33*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-83 + 83 - 23*r)*(4 + 2 - 3)*(-2*r + r + 3*r)*(0*r + 2*r + r) + 3*r**3 + 3*r**3 - 5*r**3 as i + c*r**2 + s*r**3 + d*r and give s.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.01 (b) -1691 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -4*c. Let k(l) = 6*l - 5. Let f(r) = -5*r + 4. Let o(z) = 5*f(z) + 4*k(z). Give o(m(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 - 2*r**2 + r + 1. Let f be a(2). Let n = f + 4. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -2+-7884463\nAnswer: -7884465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18247*d**3 + 36578*d**3 - 18265*d**3.\nAnswer: 66*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -5453 (base 9) to base 10.\nAnswer: -4017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*f + 2*g + 1892 - 1903 = -25*f, 4*g - 41 = 5*f - 14*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of -2\/3*v**3 - 1\/60*v**5 + 0 - v**2 + 0*v + 1\/4*v**4. Let g be o(4). Solve 2*d + 3*y = -2*y + 1, -g*y - 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {y: 2, q: 1, r: 1, k: 1, i: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3\/100 - -409\/300. Suppose -2*n + w + 91 = -n, -5*n - w + 473 = 0. Let o = 92 - n. Sort o, -8\/3, p in decreasing order.\nAnswer: p, o, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612)*-1*6*3)**2*-5.\nAnswer: -991440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -21*s**3 + s + 2. Let y(r) = r**2 - 22*r + 9. Let i be y(22). Suppose 2*b - i*b = 7. Calculate the remainder when 43 is divided by v(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/5? (a) -1529 (b) -0.8 (c) 53 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from guxgsxgsgss. What is prob of picking 3 g?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 9090 divided by -147\nAnswer: -3030\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 11 = -16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84*u - 95*u = -330. Suppose u*b - 616 = 2*b. Solve -2*w = -5*m - b, 0*w - w - 4*m - 15 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*d**3*m**3 - 1665*d**3*m**2*u**3 - d**3*m**2*u + d**2*m**2*u + d*u**3 + 152798*m**5*u**3 + 8*m*u**3 wrt m.\nAnswer: -12*d**3 + 9167880*m**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -3*z - 140 - 40, -5*d + 4*z = -185. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 3*g - 1 = 14, -g + 18 = 5*v. Find s, given that s**v + s + 3\/2*s**2 + 1\/4 + 1\/4*s**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -506975.\nAnswer: -2\/506975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 9687860009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ronrrnnnonor. Give prob of sequence ro.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, -6, 24.\nAnswer: -6, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 901183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2*b = -14, 2*b = a - b + 17. Let o = 6 + a. Is -4 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/4)\/(((-39)\/4)\/39). What is the closest to -3 in -2\/17, v, 2\/17, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 41487.76 decades?\nAnswer: 414.8776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 25.76427 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -63672, -63667, -63650, -63615, -63556?\n\"Answer: s**3 - 2*s - 63671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -172196388 divided by 2733276\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 51*y**2 - 110*y - 27. Let p(j) = 10*j**2 - 20*j - 5. Let h(n) = 2*b(n) - 11*p(n). Let l(f) = f**2 + 1. What is -h(s) + 3*l(s)?\nAnswer: 11*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y - 5. Let q(a) = -2*a**3 + 3*a + 3. Let m be q(-2). Let v be s(m). Let i(f) = -3*f + v - 5 + f. Give i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 PM and 11:50 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -8294*h**5\/5 + 6323*h**3\/3 - 14695. What is the third derivative of b(q) wrt q?\nAnswer: -199056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11135 + -11130. Let d(o) be the third derivative of 1\/6*o**6 + 2\/15*o**l + 0 + 0*o - 14*o**2 + 0*o**3 + 0*o**4. Factor d(x).\nAnswer: 4*x**2*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pk when two letters picked without replacement from kpppppkppp?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {d: 2, b: 1, v: 1, r: 1, l: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the second derivative of -11*i**3\/3 + 9*i**2\/2 + i. Let a be t(6). Let m = 1601\/13 + a. Sort -1, m, -0.2, 0.2 in decreasing order.\nAnswer: 0.2, m, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 4*i + 2. Suppose 5*q = -4*q + 18. Let j(k) = -k**2 - 3*k - 1. What is q*n(f) + 3*j(f)?\nAnswer: -3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -642, -1289, -1960, -2661, -3398, -4177?\nAnswer: -5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -111968 divided by 119.\nAnswer: -111968\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 15*t - 10. Let o be j(1). Let b(l) = 3*l**3 - 5*l**2 + 7*l - 9. Is 16 a factor of b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(84)*-2*2 - sqrt(84)))\/((sqrt(12) + -1*sqrt(768))*2).\nAnswer: 15*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes before 10:32 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -15*c. Let d(k) = 119*k**2. Determine b(d(j)).\nAnswer: -1785*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1\/4)\/v)\/(v*v**(-1\/10)\/v))**39\/((v\/v**4*v**1)\/(v**0\/v*v*(v*v*v**4)\/v)) assuming v is positive.\nAnswer: v**(-757\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (32\/(-20))\/((-21)\/(1050\/(-20))). Sort 4, -283, 0, b in ascending order.\nAnswer: -283, b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -63.57 and -254014.4.\nAnswer: -254077.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(325) + 5 + sqrt(208) + -2 + sqrt(208))**2 + 2.\nAnswer: 78*sqrt(13) + 2208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3074831414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 3*w**2 - 8*w**3 + 3*w**3 + 9*w**2 + 4*w**3 - 7*w**2. Let v(j) = -j**3 - j**2 + 4*j - 1. Let c be v(-3). Determine f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = 2*x + 248. What is the remainder when x is divided by 27\/2*12\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 159 - 946 = 143*w + 929 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 + -1 - (-1 - -48). Let i = w - -67. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3 + 6 + -1 + -5 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -443, -881, -1319, -1757, -2195?\nAnswer: -2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2 + c - 2. Let a be i(2). Let w be 2 + a + -2 + 1. Suppose 4*x + 15 = w*g + 53, 0 = 5*x - g - 37. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qf when two letters picked without replacement from {f: 2, q: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -37 + 53. Let t be ((-4)\/(-6))\/(h\/5). Let s = 1\/24 + t. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 6*l - 81. Let r be c(12). Let q(a) = 34*a**2 - 20*a - 13. Is q(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1014*i + 318*i - 6545 = -11757 - 12884 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i - 1. Suppose 0 = -10*t - 4 - 6. Let a(b) = -7*b + 10. Let s(x) = t*a(x) - 6*r(x). Let f(p) = -2*p**2. Give f(s(k)).\nAnswer: -2*k**2 + 16*k - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1972*a**2*k**2 + 66*a**2*k - 11*a**2 wrt k?\nAnswer: -3944*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*a**2 + 4*a**3 + 2*a**4 + 0*a - 2*a - 7*a**2 to the form k*a + g*a**3 + o*a**2 + w*a**4 + z and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence em when two letters picked without replacement from jmkey?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-5)*q)\/q)\/q**(2\/5))\/(q**0\/q)**(-49) assuming q is positive.\nAnswer: q**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 5 = -8. Sort -2, f, -4 in decreasing order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/19 (b) 12 (c) -6 (d) -15 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.89 - 0.81. Let a = -2419 + 2422.62. Let p = u + a. What is the third biggest value in -0.3, p, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5923728 divided by -21232?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 4*j - 7 = 3*s, -s + 29 = -5*j. Suppose s = -u + 4*u. Suppose 0 = g - 3, 3*k - 30 = -u*g - 2*g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 - 47\/7. Suppose 2*o - 5*k = -19, o + 3*k - 4*k = -5. Which is the nearest to -0.1? (a) z (b) -1\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 40 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -7*a**3 + 8*a**2 - 2*a + 18. Let f be o(5). Let s = 669 + f. Let q(y) = 3*y**3 + y**2 - 2*y - 5. Let r(n) = n**3 - n - 2. Give s*q(v) - 5*r(v).\nAnswer: v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 168 and 64?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(-10))**(-3\/5))**40 assuming o is positive.\nAnswer: o**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3254.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-58)\/(-12) - 170\/204. Suppose -6*f + 7*f = -p*i - 18, 18 = 4*f - 2*i. Solve -2*n + y = -n, f*y = n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 183 and 854.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**3 + 9*y**2 - 2*y - 13. Let u(h) = h**2 + h - 1. Let o(t) = r(t) - 4*u(t). Let q = -31 - -12. Let c = q - -13. Calculate o(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5092 divided by 4\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g**(2\/9))\/g)**(-2\/63))**36\/((g*g*g*(g**(-6)*g)\/g*g*g**(1\/3))\/(g**3\/g*g*g*g**8)) assuming g is positive.\nAnswer: g**(845\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -5*l. Let q(w) = -9*w + 1. Let o(j) = 11*b(j) - 6*q(j). Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -3 - 2 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82 - c**2 + 82.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nmnnm. What is prob of picking 2 m and 2 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 2 = 2*k. Let l(v) = 1. Let b(s) = 18*s**3 + 2*s**2 - 2*s - 3. Let f(u) = b(u) + 4*l(u). What is the remainder when 55 is divided by f(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 - 7*i + 9. Let d be f(6). Solve -d*p = 5*t + 1, -5*t + 9 + 0 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 25862391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 86688 and 168?\nAnswer: 86688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27226864 and 33677?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x + 3*v, -1299*v + 1300*v - 2 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 36 = -4*t, 5*t = 4*f + 2*t + 4. Suppose -8*z + 27*z - 95 = 0. Put z, f, -3 in ascending order.\nAnswer: f, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1126606 is divided by 4438?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as -1\/132730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 0*b - 2*g - 882, 4*b - 2*g = 3510. Suppose 5*v - 667 = -2*r - r, 4*r + 4*v = b. Let x = r + -125. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -597962 (base 10) in base 7?\nAnswer: -5040221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -w + 3*j - 4, -2*j = 10. Let h be 1 + (w + 3 - -15). What is the third derivative of 7*m**3 - 63*m**2 + h*m**2 + 16*m**2 + 12*m**2 wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.47, 1, 4, -2\/7, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 125.3 - 84. Let l = 34 - u. Let t = l - -7. What is the third biggest value in t, 0.3, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-427*i + 858*i - 429*i - 90)*(-28*i + 6*i + 111*i + (-3 + 0 + 0)*(0*i + i + i) + (6 - 3 - 1)*(i + 2*i - i)) in the form g*i + u*i**2 + p and give g.\nAnswer: -7830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, -1\/6, 14, 6 in descending order.\nAnswer: 14, 6, 5, 2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -16*t + 3. Let n(y) = -48*y + 8. What is -11*i(o) + 4*n(o)?\nAnswer: -16*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*m**2 - 11125080*m + 11125080*m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttqtqq. Give prob of picking 2 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25)\/9 + (-26)\/117.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c - 5*u + 30, -5*c + 2*u + 24 = 5*u. Let q be ((-19)\/(-3) + -6)*-3. Put 4, q, c in descending order.\nAnswer: 4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 21\/(-9) - (-5 + 4). Put h, 0, 2\/11 in decreasing order.\nAnswer: 2\/11, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the third derivative of -r**9\/4 - 107*r**5\/60 - r**3\/3 - 1673*r**2. What is the third derivative of w(p) wrt p?\nAnswer: -15120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, e: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = 2*y + 3*y - 4, -5*y + 2*j + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.9 - 6. Let f = 1.1 - v. Which is the third smallest value? (a) 1 (b) f (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from {y: 1, n: 1, o: 1, q: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s - 14. Let m be o(8). Suppose -m*t = -8*t + 66. Suppose k + t = 53. What is the greatest common factor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 78 - 84. Let f(g) be the first derivative of 4*g**t - 9\/4*g**4 + 10 + 0*g + 0*g**3. Find the second derivative of f(v) wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 2*y = -2*h + 2, 0 = -5*h - 5*y - 10. Let w = -4 - h. What is the smallest common multiple of 4 and (-1)\/(56\/(-18) - w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -143 + 293. Calculate the smallest common multiple of t and 33.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(180)*2 + sqrt(180) + sqrt(180))*-5 + (3 + (-3*sqrt(320) - sqrt(320)) + 0)**2 + 1.\nAnswer: -72*sqrt(5) + 5130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2002390295 to the power of 1\/2, to the nearest integer?\nAnswer: 44748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*k**4*p - 495*k**4 + 16*k*p + k - 61*p + 3 wrt k?\nAnswer: -108*k**2*p - 5940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - 915404?\nAnswer: -915401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**2 - j - 2. Suppose 2*g - 8*l = -3*l + 29, -5*g - l + 5 = 0. Let f be w(g). Suppose -2*m + 4*m = f. Solve 2*n + n - 9 = m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(42\/(-15))*4\/(-65)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 64811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jff when three letters picked without replacement from iifijjijjiifjjjjj?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 26*i + 85. Calculate b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -65619 divided by -21873\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 3*x - 491, 3*p - 169 = 5*x + 132. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2. Let x(u) be the first derivative of -1447*u**2\/2 + 14488. Calculate x(z(a)).\nAnswer: 1447*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*v - y + 20, -20 = 5*v + 35*y - 42*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 21*o - 117. What is x(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/3*1\/((-6)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00252517 rounded to 5 decimal places?\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -221200220 (base 3) in base 11?\nAnswer: -13092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*t + 2*v = 52*t - 23, v - 11 = -5*t. Suppose t*p = -3*l + 468, -16*p + 300 = 2*l - 11*p. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -2*l**2 + 4*l + 1\/3*l**3 - 4. Solve g(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -115*v + 211*v - 99*v + 116 to the form t*v + k and give k.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 0, 0.3, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-15)*y*y**(1\/17))**(-9\/2) assuming y is positive.\nAnswer: y**(2133\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 9 = -1. Let l = i - 3. Is -1 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1760a (base 11) to base 5.\nAnswer: -1242234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 + -1402069?\nAnswer: -140206b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 190\/6*38610\/16302?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 110*i**2 + 5*i + 38. Let y be a(7). Let t = y - 3684. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 224 and 13496.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 36 less than 11005356?\nAnswer: 11005320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/174 + 426288\/115536)*(-3)\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 3*m**2 + 10*m + 55. Let i(b) = 2*b**2 + 7*b + 39. Let j(u) = 7*i(u) - 5*v(u). Let o(x) = -3*x**2 - 4*x - 5. What is 8*j(h) - 3*o(h)?\nAnswer: h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40128157 - 19*n**2 + 40128157.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -8. Let q(d) = -8*d**2 + 4*d. Let b be q(h). Let n = b + 113. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(2*sqrt(171))**2 - sqrt(171)) + 0.\nAnswer: -3420 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -6*n**2 + 25*n + 14. Let m(k) = -4 + 3 + 1 + 3 - k**2 + 5*k. Let j(i) = -11*m(i) + 2*o(i). Determine j(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5343 + 2*h - 6*h + 2*h.\nAnswer: -2*h + 5343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**2 + 2*v**2 - 2*v**2)*(3*v**2 - 2*v + 2*v).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.3 + 0.5. Let s = -10 + 10. Which is the closest to s? (a) 3 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (702\/65 + -10)\/(1\/5). Solve 0*t + 2*r = m*t - 4, -5*t = 5*r - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*g**2 - 95*g**2 + 36*g**2 - 91*g**2 - 197*g**2.\nAnswer: -362*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 7*x**3 - 5*x**3 - 18*x**2 + 14*x**2 + 4*x**3 - 4*x**3 - 5*x + 11*x**4 as c + y*x**2 + n*x**3 + w*x + p*x**4 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -38678485 >= -38678487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 3*j + 6. Let q(d) = -d. Let p(m) = -2*m - 1. Let b(r) = 3*p(r) - 5*q(r). Determine -5*b(w) - 3*h(w).\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 100*r - 101*r - 470. Which is smaller: -469 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/(-3))\/(6\/(-9)). Let u be (9\/(-15))\/((-2)\/10). Let w be -1 - u\/(2 + -1). Put k, -2, w in increasing order.\nAnswer: w, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of h**5\/24 + h**4\/8 + 14*h**3 - 53. Let j(s) be the third derivative of o(s). Let r(d) = -4*d - 3. What is 5*j(y) + 6*r(y)?\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.01 - -0.02. Let x = 0.07 + g. Let v = 35\/52 + 1\/13. What is the second biggest value in -1, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5973101.6 to the nearest one hundred thousand.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pmzixmxrxzzppxp. What is prob of sequence mx?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 225002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of 0 - 5\/12*v**4 + 0*v**3 + 5\/2*v**2 + 3*v - 1\/20*v**5. What are the prime factors of s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 5*a. Let s(l) = -l**2 + 4*l + 2. Let x be s(3). Suppose h = x*h - 24. Let i(o) = 0 + 2*o**2 - h + 6. Calculate i(r(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 91 = 2*l. Let u(n) = n**2 + 2*n - 1. Let j be u(-3). Let g = j + 18. Calculate the greatest common divisor of l and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/4 - 6022*k**2 - 1114396*k - 51359552.\nAnswer: (k - 24272)*(k + 92)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1288 - 5ab?\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 999*c**2. Let r(n) = -2*n**2 + 1000*n. What is r(x(y))?\nAnswer: -1996002*y**4 + 999000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(11\/2)*y**(8\/5))\/(y*y\/y**(-1\/3)*y*y*y**(4\/23)\/y))**(-2\/43) assuming y is positive.\nAnswer: y**(-2479\/14835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 218 + -215. Suppose 0 = 5*l + a*g - 8, 5*l + 2*g = -3*g. Solve -p = -l*b + 8, -b - 4 = -2*p + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 11. Let k(n) = n - s + 3 + 2. What is k(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10200212 + 12?\nAnswer: 10201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-76183)\/(-168838)*(-24)\/(-148).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5563157 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -63 + 66. Suppose v*r - 3 = -y, -8*r + 12*r = -3*y + 24. What is the least common multiple of y and 87?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*r**4 - 2*r**4 - 13*r**4 + 3*r**4 - 3*r**4 - r**4 + (-2*r + 3 - 3)*(3*r**3 + 0*r**3 - 2*r**3) - r**4 - r**4 + r**4 - 2*r**3 + 2*r**3 - 2*r**4.\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 46777 and 203.\nAnswer: 327439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/4*i**2 - 169\/4 - 13\/2*i.\nAnswer: -(i + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - (12 - (0 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26 + 101*q - 37*q + 26.\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from {p: 2, q: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of -g**6\/180 - 4*g**5\/45 - 5*g**4\/9 - 16*g**3\/9 - 92*g**2. Factor w(u).\nAnswer: -2*(u + 2)**2*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*w - 1818 = 53*w. Suppose 141 + w = 7*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from itlpk. What is prob of sequence ltik?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -71733.8211 + 387823.\nAnswer: 316089.1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**12\/(b*(b*b**0)\/b) assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (50\/2)\/((-3)\/(-42)). Let f = 203 + -106. Let i = b - f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9772877ml in litres?\nAnswer: 0.0009772877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*y - 21 = 48*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 321704805?\nAnswer: 321704804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -4*n + g, -2*n - 16*g = -13*g + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21616 and 723364.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 46.62 + -47. Let h = a + 0.48. Let n = -58 - -59. What is the closest to n in -10, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lllp when four letters picked without replacement from phphphphpplpllplllpp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 + 145. Suppose -3*x = -j - 86. Let n be 8*4\/x - (-59)\/15. Is 4 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - f - 4 = 0, 5*n + 10 = -3*f - 2. Suppose 2*o + 2*r = -n*o - 22, -2*r = 8. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 6*p. Let a be q(-2). Let i = -14 - a. Is -2 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 226315152 divided by 846.\nAnswer: 267512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 637 + -639. Let i(o) = -o**3 + 2*o**2 + 2*o - 2. Let j be i(3). Put -10, 1, r, j in decreasing order.\nAnswer: 1, r, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/7, -3, -4\/5, 31 in decreasing order.\nAnswer: 31, 1\/7, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5299016.\nAnswer: 2, 23, 31, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 134350157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 280952448?\nAnswer: 2, 3, 7, 127, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 13119, 0, 1.9, -1.2, -2\/3 in decreasing order.\nAnswer: 13119, 1.9, 0.2, 0, -2\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of m**3\/3 + 2*m**2 - 2*m - 4. Let z be d(-3). Which is the smallest value? (a) -0.08 (b) z (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -105 - -14?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 5*u + 3*v, -u - 4*v + 0*v = -10. Let g(r) = 0*r**2 - 2 + 4*r**2 - 191*r + 191*r - 3*r**u. Let w(d) = d**2 - 3. Give -5*g(q) + 4*w(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-3)\/6*-2*37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 80351.05g to nanograms.\nAnswer: 80351050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 6 and -46\/163433?\nAnswer: 163433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/2063 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 47, 1\/6, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + ((-5)\/10)\/(1\/(-26)). Sort 0, -4, d.\nAnswer: -4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -85303.019511 - -18.029511. Let a = h - -85224.98939. Let n = 60 + a. Round n to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1264 divided by -6.\nAnswer: 632\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1206, 1382, 1550, 1704, 1838, 1946, 2022, 2060?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 + 41*a - 101. List the prime factors of w(25).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of -y**5\/6 + 4*y**2. Let b(n) = -n**2. Calculate u(b(v)).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3*-31 - (-4 + 4). Let r = -44 - i. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -86 + 5d?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/2 + 6\/(-4). Suppose -2*t + 3*t - 9 = i. What is the units digit of (-4 - -7)\/(t\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - r - 10 = 1, 5*r = -3*y - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*n + 3*n**4 - 31*n**3 - 4*n**4 + 40*n**3 + 5 to y*n + k*n**2 + c*n**3 + w + z*n**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 67\/909, 4?\nAnswer: 67\/909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -55464.2 * -0.3\nAnswer: 16639.26","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5094540828.\nAnswer: 2, 3, 13, 837367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 14) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 25105 (base 6) in base 4?\nAnswer: 322001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 6*h**2 + 0*h**2 + 2 - 4*h**2 - h**2 + 85*h**3 as f*h**3 + o*h**2 + s + m*h and give f.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 643597253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138 = 73*j - 8. Solve -3*b = j*q - 4*b + 9, 2*b = 5*q + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1192\/224 + 6\/(-8). Let o = b + -307\/35. What is the common denominator of 1\/6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -3641876, -0.5 in ascending order.\nAnswer: -3641876, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10356*t + 385 - 5175*t - 5180*t to the form d*t + r and give r.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from gjjgjuujjujghgu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and -34542?\nAnswer: 34546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3 not equal to 1309\/370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**2 + 5*t - 14. Let h be m(-12). Suppose 2*x - h = -3*x + 3*z, 4*z + 42 = 3*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22182 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + 1001011000?\nAnswer: 1001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -73 + 1. Let g be 2\/z + (-6)\/27. Which is the smallest value? (a) g (b) -0.1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (58 - 15 + 18)*(101*n + 71*n - 278*n)*(5 - 5 + n).\nAnswer: -6466*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1086456)\/(-36126) - 4\/54.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10211?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - (-35)\/(-14))\/(1\/116474). Let h = i - -126278. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 10*c + 55. What is p(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 59, 14 in decreasing order.\nAnswer: 59, 14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 95\/257 - 637\/1028. Put -0.1, -0.03, 5.9, -1, p in ascending order.\nAnswer: -1, p, -0.1, -0.03, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/(2 - 3) - 0. Let h be 52\/u - 4\/6. Factor -8*a**4 - 4*a**3 - 2*a**3 - h*a**2 - 6*a**3 - 2*a**5 - 2*a.\nAnswer: -2*a*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24632 is divided by 385?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 477 in -3, -0.08, 5\/2, -0.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is d2 - -4bd8?\nAnswer: 4cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-6) + 629\/(-2). Let b = -315 - u. Let l = 3739\/306 - 339\/17. Find the common denominator of l and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 33?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 15640 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 - (-6 + 4 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000101010111011 + -1111101001?\nAnswer: -1000111010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1668 and ((-3)\/(-4))\/(417\/(-278)) + 1947\/2.\nAnswer: 11676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 92\/12285 and -101\/126.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -z = 842*q - 832*q + 26, 3*z = -3*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 9:09 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*i**4*w**3 + 586*i**4*w**2 + 28*i*w**3 + 34*i - 1 wrt i.\nAnswer: 48*i**2*w**3 + 7032*i**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 131 + 2?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 172485 and 23490.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -855 at least -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-8)*(-1*(4 - -4) - -12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-6)*-2*((-122)\/5 - -31 - 6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 9*t**2 + 17*t + 20. Let a be z(6). Suppose -s + 3*s = -4*j - a, s + 3*j = -12. Solve -3*v = -0*v - s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -353 - -353. Let a = 0.3 - 0.5. Let c = -383 + 389. What is the closest to b in a, c, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 147*u**2 + 3*u - 3. Let x(l) = 184*l**2 + 5*l - 3. Let s(h) = 5*b(h) - 4*x(h). Let o = 14 + -18. Give s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-2*sqrt(95) + sqrt(95)) - -1*sqrt(95)*-2)\/(-5*(-2*sqrt(5) + sqrt(5)) + sqrt(5) + (-2*sqrt(30))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together -5127727 and 0.09.\nAnswer: -5127726.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -31*c - 54. What is the remainder when v(-3) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 3*i**2 + 11*i + 4. Let j be f(-2). Put 5, j, 1, 2 in descending order.\nAnswer: 5, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 607361 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 98*s - 730. What is i(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-96 - 472 - 150)*(0*b + b - 2*b) - b + 0 + 0 + b + 0*b + b as k*b + r and give k.\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 3437.\nAnswer: 10311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*b*g**4 - 2*b*g**3 - 7*b + 2*g**4 - 28 wrt g?\nAnswer: -8*b*g**3 - 6*b*g**2 + 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = z + 16, -3*z - 12 = 3*t. Solve t*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13 - 5123242?\nAnswer: -5123226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 + 7*i + 5. Let m be z(-4). Suppose -4*j + m*j = 55. Calculate the least common multiple of j and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 974359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7\/21*(3 - -6). Let z be (-3)\/2*(-4)\/3. Is 64\/z + o\/3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -133120 + 12?\nAnswer: -133102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 46721 - -5?\nAnswer: 46726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -1.8 (c) 879\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -7462 + 610*c**2 - 1882*c**2 + 7462 as b*c + o*c**2 + v and give o.\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.694 - -1.306. What is the second smallest value in -0.042, z, -2?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 250 + 123 = -2*u - 2*g - 104, 2*g - 8 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(252) - (0 + sqrt(252) + sqrt(252))**2)*4*-5 - (-1 + sqrt(252) + 2 - (0 + sqrt(252))*-6)**2.\nAnswer: -72829 + 276*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.8752 - -0.0448. Let c = u - 3.8252. Round c to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + (1 - (-3 + 7)) + (-2 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 22\/((-2)\/(-4)*-4). Let i = 11 + r. List the prime factors of (-35)\/(-10)*(6 + i).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-35 - -47) + (4 - 14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*a**2*d*q*s - 92*a**2*d*q + a**2*d - 6*a*d*s + 5*d*s + 24*q*s + 346*s wrt q?\nAnswer: -2*a**2*d*s - 92*a**2*d + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - 40 = 72*n - 65*n, -4*c - 9 = 3*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2279 - 287 = 6*n. List the prime factors of n.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + 12 + 5*p)*((3*p - 4*p + 4*p)*(p - p - 2*p) + p**2 - 4 + 4 + (-3 - 3 + 4)*(2*p**2 + 0*p**2 - p**2)).\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 7*j**2 - 108*j - 107. Let t be f(-1). Sort 4, t, 9, -3.\nAnswer: -3, 4, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uahsssshhsj. What is prob of sequence hhh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 170\/3, 1\/9, -2?\nAnswer: 170\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -33, -30, -31, -36, -45, -58, -75?\n\"Answer: -2*d**2 + 9*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -153, -1093, -3645, -8613, -16801, -29013, -46053, -68725?\n\"Answer: -134*m**3 - 2*m**2 + 4*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*o**2 - 15*o**2 - 15*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 27*o. Let i(r) be the second derivative of -r**5\/60 + 21*r**2\/2 - 50*r. Let x(z) be the first derivative of i(z). Give k(x(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -4185582, -8371186, -12556804, -16742436?\n\"Answer: -7*i**2 - 4185583*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x - 3*x + 18 = 0. Suppose 0 = -3*u + g - 5*g + 4, 4*u - 3*g = -3. Solve -4*w + x*a + 2 = u, 4*w = 5*a + 5 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i + 6. Let p be q(6). Let z(s) = s**2 - s + 12. What is the tens digit of z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2253.\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 8*j**2 + 4*j + 10. Let z be n(-8). Suppose -5*l + 0*l = 90. Let p = 17 + l. Sort -4, p, z.\nAnswer: z, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -212*g + 213*g = 2. Solve -4 = g*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 78745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 5, f: 2}. What is prob of sequence gf?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-12)\/(-10))\/(21\/(-10)). Let j = -15.61 + -0.39. Which is the nearest to 1? (a) -1\/3 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**2 - 94*p + 215. What is n(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -259*s**2*y - 4*s**2 + 19*s*y - 9*s - 2291*y - 12812 wrt s?\nAnswer: -518*s*y - 8*s + 19*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.02 and -323341.\nAnswer: -6466.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (1 - 27\/21) + 1094\/7 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j - 20*p = 18, -3*p = -0*j + 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5063*k - 1659*k + 2 - 3407*k.\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -128, -127, -126, -125, -124, -123?\n\"Answer: l - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2020012002111 (base 3) to base 2.\nAnswer: -100100001001110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (20\/(-22) - -1)\/(44\/(-44)). Let j = -2 - -2.9. Which is the biggest value? (a) 4\/7 (b) j (c) 2\/7 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 13, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/281, 7\/12, 4, -1\/4, 3, 0.\nAnswer: -1\/4, -2\/281, 0, 7\/12, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -22*m**2. Suppose 64 = 340*k - 308*k. Let g(b) be the first derivative of 0*b - k - 1\/2*b**2. Give o(g(x)).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-9)\/(-3) - 3*-1. Let v(g) = 0 + 2 + 6*g - 2*g - n. Does 5 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*m**3 - 2\/11*m**2 + 1\/11*m + 0 - 1\/11*m**5 + 2\/11*m**4.\nAnswer: -m*(m - 1)**3*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1110\/(-2405)*(-4)\/6?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*l**3 + 0*l**3 - l**3 + (-3*l**3 - 6 + 6)*(6 + 0 - 4) + l**3 - 3*l**3 + 4*l**3 + 4*l - 4*l + l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -196, -213, -246, -301, -384, -501, -658?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**2 - p - 1. Let b = 609 + -604. Let f(q) = -7*q**2 - 8*q - 6. Calculate b*t(z) - f(z).\nAnswer: 2*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 12 = -4*a + t, -3 = -a + 3*t. Let c(h) = -1 + 0*h**2 + 2*h - 4*h - 2*h**2 - 65*h**a. What are the prime factors of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1099 + 282?\nAnswer: 132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -8 + 5*d**3 + 8 + (-4*d + d + 5*d)*(-4*d**2 - d**2 + 2*d**2).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 4*b = -0*b - 36, 3*a + 2*b = 4. Suppose 3*z - 6 = 0, a*o - 2*o + 4*z = 8. Suppose -5*i + 141 + 49 = o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 454*m**3 - 16*m**2 + 13*m - 23. Let i(q) = 226*q**3 - 7*q**2 + 6*q - 11. Let a(z) = 6*h(z) - 13*i(z). Find the third derivative of a(r) wrt r.\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 162.77 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 3*o + 43. What is x(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -17089969 and -1?\nAnswer: 17089969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4428 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - -299. Suppose a + c - 838 = b, -3*a + c = -3419. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 29 + 23. Let l(x) = -x + 11. Let o = -2 - 4. Let g(t) = -5. Let f(a) = o*l(a) + y*g(a). Differentiate f(v) with respect to v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -34*o - 27*o - 158*o - 324 + 69 wrt o?\nAnswer: -219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-21)\/12)\/((-11)\/44) - (0 + 17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**16\/n**(-11\/2) assuming n is positive.\nAnswer: n**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -18 in 2, 5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-14)\/(-8))\/((-17)\/(-68)). Suppose 0*c = -r*c + 91. Suppose 0 = -4*n + c*n - 18. Solve 0*b = n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 18 = -8*c. Solve c*x = -y + 3*x, -x = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 789517997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -2544*f**3 + 17*f**2 + 12*f - 12. Let o(x) = x**3 - x**2 - 2*x - 1. Let i(t) = h(t) + 6*o(t). What is the third derivative of i(w) wrt w?\nAnswer: -15228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*u**5 - 4*u**4 + 69*u**3 + 5*u**2 + 2797*u?\nAnswer: -900*u**2 - 96*u + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 321250 divided by 1250?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -37*v + 40. Let o be z(1). Suppose -q + 4*j + 37 = 49, 0 = -o*q + 5*j - 15. Factor q - 2\/7*f**2 - 2\/7*f**3 + 0*f.\nAnswer: -2*f**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (279\/132)\/(-3) - -1. Let n = 1\/22 - x. Is n < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1338584.7073023 + 1338584. Let i = -2.2926967 + y. Let h = -3 - i. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 13*h - 18. Determine f(15).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -32*(-39)\/2912 + 60\/105*-31*2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*p**3 - 4*p**3 + 3*p**3 + (1 - 1 + p**2)*(p - 3*p + 4*p) + 0*p**3 - 5*p**3 + 0*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*u + 16*u - 22 = -o, 6 = o + u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1159 - 1157. Solve 3*r + s*c = -6, 3*r - 4*c + 18 + 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of i**5\/60 + 19*i**4\/24 - 91*i**3\/6 + 2*i**2 - 23. Let z be h(-23). Which is the biggest value? (a) -3 (b) 35 (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 359*l**2 + 2 - 28 + 27.\nAnswer: 359*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -1 < -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -25179*g - 7050124. Determine u(-280).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -271521 - 12*s - 9*s - 10*s + 35*s.\nAnswer: 4*s - 271521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 4, n: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are 1216 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = j - 14, -11 - 11 = -3*j - 2*a. Let y(z) = -2*z + 32. Let h be y(15). Solve 5*p - 2*w = j, -h*p - w + 9 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 2*j**2 + 5*j + 7. Let c(s) = s**2 + 2*s + 3. Let y(f) = -14*c(f) + 6*u(f). Determine g, given that y(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*t = -18*t - 42. Solve 10*i = t*i - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -53.09 - -332.19. Let r = w - 279. Which is the closest to r? (a) 4 (b) 3 (c) 0.078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {b: 3, y: 1, a: 2, g: 5, h: 1, k: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of -w**4\/6 + w**3\/3 - 35*w**2. Determine m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 3 + 9 = 0, -2*l - 2 = -2*c. Suppose -3*z = 2*o - 10 - 3, -7 = -c*z + 4*o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*s - 3952 = -7*s. Calculate the greatest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 23 - 16. Suppose -r + 28 = 3*u. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 - -7. Let j = t - -20. Let w = 11 - j. Let x(v) = v. Calculate x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-2))\/(((-2462)\/43085)\/(4\/(-14)*16))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66*(-11)\/(-88)*(-8)\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -5*r + 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36654744.\nAnswer: 2, 3, 7, 71, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.14*-23.6251.\nAnswer: 26.932614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, -3, 42, 76, 1, 5, -2 in increasing order.\nAnswer: -3, -2, 1, 5, 39, 42, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 298909 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 435 - 251. Calculate the greatest common factor of a and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 23\/(-3) + (-16)\/(-24). Let m = f + 12. Solve -m*u = -4*a - 6, 3*a + u - 3*u + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -3*t + 2371, o + t - 731 = 456. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -4, 2, 4, 36 in descending order.\nAnswer: 36, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 26416 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 12 = -3*n. Suppose -3*l = -4*l. Is -3 + l - (n + -157) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) + -1*(sqrt(85) - sqrt(85)*-2 - sqrt(85)) + sqrt(85) + sqrt(85))\/(sqrt(720) + sqrt(720) + sqrt(720)*1 + sqrt(5)).\nAnswer: sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 89 - 75. Calculate the remainder when (-54)\/(-3)*(1 + 2) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*u - 0*u. Let p = 37 + -52. Let l = p + 12. Which is the nearest to u? (a) 0 (b) -2\/13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dss when three letters picked without replacement from {d: 3, s: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101110101111 - -11010100010111?\nAnswer: 101000011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -363646538*d - 137713367 wrt d?\nAnswer: -363646538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80*150\/36000*(-42)\/((-5)\/((-45)\/6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.729 - 0.28. Let i = v + 0.009. Let o = 79 - 393\/5. What is the nearest to i in 4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 26, 68, 130, 218, 338, 496?\n\"Answer: j**3 + 4*j**2 + 23*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of m**6\/10 + 21*m**5\/10 - 1596*m. Find n such that f(n) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -90*t**3 - 18*t**3 + 3667 - 3667.\nAnswer: -108*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-340)\/(-40)*(-16)\/(-136)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 4*s**2\/3 + 40*s + 116\/3 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 180475 + -3?\nAnswer: 180472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 49.1618868 rounded to zero dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 2*v - 7*v, -10 = -4*v - g. Suppose -2*u = -d + 6, -5*d - 5*u = -10*d + 20. Find the first derivative of -19 + 31*l**v - 31*l**d + 8*l**4 wrt l.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 517 divide 208868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -29*z**2 + 5*z + 5. Let i be q(-2). Let g = 82 + i. Let k = -33 - g. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1572996408.\nAnswer: 2, 3, 73, 897829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**3 - y**2 + 2*y. Let j be m(2). Let d = j - -10. Factor -1\/4*o + 1\/4*o**3 + 1\/4 - 1\/4*o**d.\nAnswer: (o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**3 - 4*p**2 + 3*p - 2. Suppose 5*n - 12 = 8. What is the remainder when 38 is divided by u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i + s = 4*i + 160, 3*s - 12 = 0. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -387258130 divided by 5\nAnswer: -77451626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 38747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 21066 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01286 less than 0.7?\nAnswer: 0.68714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 18 = 3*x - 0, -31 = -4*x + 5*m. Solve -5*d + 5*i - 5 = 0, 5*i - 22 = -2*d + x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 178 a factor of 143112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1665 - 1665.1. Let i = -11.2 + 4.2. What is the closest to -2\/5 in 4, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -79578*k**5 + 2*k**3 + 384472*k**2.\nAnswer: -4774680*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 21 divided by 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0.063, -0.3, 9, 1\/11, -1.5, -2\/129?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 959*p**2 + 10226*p - 55751934 wrt p.\nAnswer: 1918*p + 10226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -25*o**3 + 7*o**2 - 9*o + 23. Give s(3).\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.33*1.\nAnswer: -2.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n + 2*n - 8*n**3 + 11*n**3 + 5889*n**2 - 5889*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 8*i - 12. Let g(t) = 6*t - 3. Let l(o) = -o. Let v(h) = -g(h) - 4*l(h). Calculate 9*v(p) + 2*y(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -790*y - 706*y - 2246*y - 150*y.\nAnswer: -3892*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -13, 7, -2, 0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(17) + (sqrt(17) - 2*sqrt(2448)) - (sqrt(17) + sqrt(17)*1)*-6.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 PM and 8:30 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21052266 and 3508711?\nAnswer: 21052266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or -1\/458690?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 162 divided by 7.\nAnswer: 162\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -288.33 + 286.83. Does 67 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49 and ((-62)\/(-15))\/(40\/(-50))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0*4*(62\/620)\/((-4)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -406 - -584. List the prime factors of i.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 7396\/(-1849)*((-27)\/(-4))\/(3\/1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.878421t to nanograms.\nAnswer: 5878421000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*b**3*w**4 - 5326326*b**3*w**3 + b**3*w - 11*b**3 + 22*b**2*w - 208*b**2 + 14*b wrt w.\nAnswer: 36*b**3*w**2 - 31957956*b**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12586420 is divided by 41132.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hjjjhhjjhhjjj. Give prob of sequence hhh.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4)\/(-8) - (-1 - -2))*-2. Solve -4*j + 7 = -v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9814568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from opfioqafa. What is prob of picking 1 p, 1 o, 1 q, and 1 i?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -7*l**2 - 1. Let t be g(-1). Let b(m) = 21*m - 7*m - 8*m + 7 - 9*m. Calculate the remainder when b(t) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 v, and 1 s when three letters picked without replacement from {v: 2, k: 5, p: 1, d: 3, s: 1, t: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 3*t**5\/8 + 1915*t**4\/4 + 2543*t**3\/8 - 1437*t**2 - 3829*t\/2 - 638 = 0.\nAnswer: -1276, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -2\/21 (b) -159 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 - 11*r**2 + 283*r + 682. What is f(-21)?\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -2*a - 6. Let m be o(-7). Solve -3*d = -5*d - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 554117226.\nAnswer: 2, 3, 13, 53, 134039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 AM and 9:53 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 - -41. Suppose 2*m = -5*x + r + 2, 4*x = m + 14. Calculate the smallest common multiple of 58 and m.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -293*v - 2702 = -100*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 27\/6 + 8\/16. Suppose -z + 71 = 5*j, 261 = 3*z - 2*j + j. Suppose z - 6 = f*s. Calculate the smallest common multiple of s and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the second derivative of a**5\/20 - 2*a**4\/3 + 8*a**3\/3 + 15*a. Factor w(d).\nAnswer: d*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the first derivative of 2*r**6\/15 + 8*r**5\/15 + 4*r**2 + 27. Let q(l) be the second derivative of o(l). What is the third derivative of q(h) wrt h?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 210 and 665430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -2*a + 1, -a = -5*a - 2*w + 14. Suppose 5*g = -22 + a. Is 7\/28 + (-87)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -41*u. Let t(l) = 3*l - 3*l + 0*l - 2*l. Give t(z(g)).\nAnswer: 82*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/55932 and -83\/2470330?\nAnswer: 14821980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + n**2 + 2 - 57*n - 8*n**2 + 57*n + 0*n**2 + 4*n**2 - 6*n**2 + (1 + 1 + 0)*(2 - 2*n**2 - 2))*(-3*n - 3*n + 2*n) + 3*n**2 + n**3 - 3*n**2.\nAnswer: 53*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -89 - 511. What is the remainder when (-2 - -9)*r\/14 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -152635496 - 1?\nAnswer: -152635497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 200 (base 5) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3400 divided by 680\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 0.024 (c) -0.3 (d) -1 (e) 181 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12.0907 - -2.3917. Round q to 1 dp.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7792 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of a**6\/30 - 27*a**5\/5 + 729*a**4\/2 - 13122*a**3 + 71*a**2. Solve b(u) = 0 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 617477499 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 796968\nAnswer: 1\/265656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 3139583000 to the nearest 1000000.\nAnswer: 3140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 98, 200, 302, 404?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 45\/5*(-1)\/(-3). Suppose 6*p - 2*p - 28 = 0. Suppose z*c - p*c = 3160000. Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.05558+-4\nAnswer: -4.05558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -404, -9, -2 in decreasing order.\nAnswer: -2, -9, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 3*h + 0*h = -417, -r + 61 = -5*h. What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 194*w + u = 198*w - 2*u + 31, -4*u = -2*w - 18 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**3*g)**(-34)\/((((g*(g**39*g)\/g*g*g)\/g)\/g)\/g*g\/(g*g**(-4))) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 36918 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 264962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -3*x. Let r(t) be the third derivative of 0*t + 3*t**2 + 1\/12*t**4 + 0*t**3 + 0. What is -4*c(m) - 7*r(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2203*x - 10861. Determine f(-5).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*n - 10*n**4 + 17*n - 1 + 0 - 10*n**3 - 19*n to the form y*n + j*n**3 + r*n**4 + t + u*n**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 13614919583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 20 = f. Let z(i) = -i**2 + 6*i - 6. Let y(l) = l**2 - 5*l + 5. Let j(w) = f*z(w) + 6*y(w). Let q(v) = -v. Determine q(j(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.22 + -0.13. Is -1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:02 PM and 10:08 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 841 and 10.\nAnswer: 8410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -4*u - 4*v, 4*u + 9 = 2*v + 49. Let n be 1\/((-3)\/(u\/(-7))). Factor -6\/7*c**2 - 2\/7*c**3 - n*c + 0.\nAnswer: -2*c*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 19184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes after 10:58 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-59 + -3 - -66) + -27\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the second derivative of d**5\/20 + d**3\/6 - d**2\/2 - 18*d + 236. Let m(n) = -41*n**3 - 4*n + 2. Determine m(y) + 2*r(y).\nAnswer: -39*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 3:31 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 2*j - 5*n, 8*j - 3*j - n - 20 = 0. Differentiate 5*w**3 + 2*w**3 + w**3 + w**j + 21 wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 6) + -5 - (35 - 27) - (4 + -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-5 + 0 - (15 - 10)) + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/5, -4\/3, 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-2))\/(57\/76)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minus -7971153.0832?\nAnswer: 7971157.0832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence urc when three letters picked without replacement from {j: 7, z: 2, c: 2, u: 5, r: 2}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 46, 56, 66, 76, 86, 96?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**2 + 15*n + 4. Let f be h(11). Let r = -46 + f. What is the remainder when 138 is divided by (2 + -3)*(r + (-35 - 2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 - 3*t**2 - 2*t - 2. Let s(c) = 5*c + 3*c**3 + 5*c**2 + 3*c**2 - 2 + 4 + 4. Give 8*i(v) + 3*s(v).\nAnswer: v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 87084 (base 12) to base 6.\nAnswer: 3452244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of 13*z**2\/2 + 18*z - 175. Let c(q) = -24*q - 33. Let n(a) = -5*c(a) - 9*o(a). Give n(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2622.911 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, l: 3, e: 10, m: 3}. What is prob of picking 2 g, 1 l, and 1 m?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + 11110011110001011101000010?\nAnswer: 11110011110001011101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes after 3:22 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((40\/120)\/(-1*1))\/(1\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.251? (a) -4 (b) 2\/3 (c) -254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 2*y**3\/3 + 3864*y**2 - 1238798*y\/3 + 810404 = 0.\nAnswer: -5901, 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 59 + -3 + 18 + (-47 - -37)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 59967*h - 22715?\nAnswer: 59967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 469, 3763, 12711, 30145, 58897, 101799?\n\"Answer: 472*q**3 - 5*q**2 + 5*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 5*l - 5420 + 1165 = 0, 3*l - 4239 = -3*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2408)\/(-3)*6 - -5?\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 1784?\nAnswer: 5\/1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7562595*m**5 + 3891067*m**2 wrt m.\nAnswer: 453755700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23644851 is divided by 1694?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 6:56 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of -i**3\/3 - 17*i**2\/2 - 8*i + 236. Give y(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6241015ml in litres?\nAnswer: 0.0006241015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**2 + 11*k. Let f(v) = -116*v**2 + 290*v - 145. Let m(o) = -5*o**2 + 12*o - 6. Let p(u) = 6*f(u) - 145*m(u). What is l(p(d))?\nAnswer: 841*d**4 + 319*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 680815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 108167 - 107039 = 94*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i**4 + 15*i**3 - 210*i**2 + 500*i - 360 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1574 and -101\/18?\nAnswer: 14166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 16*i - 11*i. Sort i, 5, -3.\nAnswer: i, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g + 3. Let h be z(0). Suppose 667 = 4*v + h*s, -4*v - s + 167 = -3*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 6 - 11)*(4*m**2 + 5*m**2 - 6*m**2) as y*m**2 + o + b*m and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 756028593?\nAnswer: 3, 569, 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (3*x**3 + 9*x - 9*x)*(2*x - x + 2*x) - x**4 - 5*x**3 + 5*x**3 in the form l*x**4 + d + m*x + g*x**3 + z*x**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 169197.\nAnswer: 3, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n + 8. Let w(o) = -o - 11. Let b be w(-6). Let i be g(b). Suppose -i*k + 2*k = -26. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3 + (-1 - 2))\/2. Differentiate 3*j**2 + 1 + 4 - 1 + v with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 452*a**2 + 501*a**2 + 2*a + 472*a**2 - 1213*a**2.\nAnswer: 212*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 130 + -133. What are the prime factors of (d + 395\/(-25))*-15 + 4?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -76?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 104928 and 9837?\nAnswer: 314784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18872\/(-672) + 46 - 19.\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 138419246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -232043 (base 5) to base 3.\nAnswer: -102112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 3) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 42 + 0 + u**2 - 13 + 18*u. Calculate the remainder when 47 is divided by q(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:07 AM and 12:57 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 - -1)\/(3\/(-18)). Suppose -5*r - z = -31. Suppose -r*w + 2*w = -54. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 7118410 and 5.\nAnswer: 7118415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - w**3)*(-1 - 1 + 1) + 3*w**3 + 3*w**3 - 4*w**3 + 248*w - 248*w + 92*w**3.\nAnswer: 95*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -150a2 - 2?\nAnswer: -150a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-74)\/(-111)*(1 - -287). Let a = q + -94. Suppose 0 = f + g - 18, 0 = f - 3*f + 2*g + 20. Calculate the greatest common divisor of a and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r\/(r\/(r\/(r*r**(-2\/65))))*r*r**(2\/47)*(r\/(r\/(r*r**(-3)*r)))\/(r\/(r*r**(-1\/18))) assuming r is positive.\nAnswer: r**(55967\/54990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.02242 + -39.97758. Sort -0.1, g, -0.2, 1, 4\/3 in decreasing order.\nAnswer: 4\/3, 1, -0.1, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-18))\/(91\/(-273)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 5*h = 0, -3*u - u + 3*h = 7. Let a(p) = 0*p - p - 1 + 2*p. Let n(l) = -l + 2. Let i(x) = u*n(x) - 2*a(x). Let k(q) = -3*q**2. What is k(i(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 419867281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**3 - p**2 - 3*p. Let b be n(3). Suppose -19 = -3*h - 7. Let o(c) = -c - h + b + 2*c. Give o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 10:58 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12\/6*1\/(-3). Is d < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 157831058 to the power of 1\/2, to the nearest integer?\nAnswer: 12563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*o - 329 - 1101. Calculate the greatest common factor of o and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {b: 5, i: 5, c: 3}.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -61 - -52.52. Round x to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -514.93 - -515. Which is the closest to s? (a) -1\/3 (b) -2\/11 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -281*v + k = -277*v - 37, -3*v + 4*k = -31. Solve -v*x + 178 = 223 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (78\/(-364))\/(12\/(-16))*4\/((-1384)\/(-14))?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3431 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 + 5*m**2 + m - 5. Let y(q) = q**3 + 5*q**2 + 2*q - 4. Let s(g) = -2*v(g) + 3*y(g). What is s(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -220479 divided by -31497\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8024 - 8023.5. What is the second biggest value in -3\/7, r, -147?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 430973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1114 - -889.5. Let w = -225 - z. Which is the third smallest value? (a) -1.2 (b) w (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -517762*v**2. Let l(f) = -2*f. Give k(l(y)).\nAnswer: -2071048*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 237260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m\/m**4)*m**(-8))\/(m**(-1\/4))**9)**(-1\/63) assuming m is positive.\nAnswer: m**(1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2057 divided by -1?\nAnswer: -2057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2. Let k(l) be the first derivative of 35*l**3\/3 - l - 3. What is b(k(a))?\nAnswer: -1225*a**4 + 70*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y - 17. Let u be i(-10). Suppose -u*c + 6 = -9. Suppose s = c*s - 44. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 2*f - 2, -3*f + f = -10. Suppose -3*p + 8 = -p. Suppose 5 = 5*v, -p*c - 4*v = -0*c - 36. Calculate the lowest common multiple of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1027456457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.554*-0.1.\nAnswer: -0.0554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 12165*c - 12109*c = 1960 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 3*u - 21, -2*a + 2*u + 4 = 2*a. Let y be (1\/a)\/((-2)\/(-6)). Is (1*57\/3)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 + 6*a + 2. Let q be v(-4). Let s be -2*(75\/q)\/5. Solve 13 = 2*k + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41 is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -190*k*n*z**2 + 2*k*n + 42731*k*z**2 - 65*n*z**2 + 2851713*n wrt k.\nAnswer: -190*n*z**2 + 2*n + 42731*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g - 25 - 7 = -2*r + 8, 129*r = 126*r + 61 + 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 460122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, n: 1, z: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -655 by 1.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 222636444 (base 7) to base 15.\nAnswer: 12c192c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6241\/3 + -2077. What is the third biggest value in -4\/3, 1, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 76 + -3b476?\nAnswer: -3b400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 147*v + 771. Let o(l) = -l - 9. Let z(x) = -f(x) - 6*o(x). What is the derivative of z(j) wrt j?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**2 - i. Let s = -1 - -2. Let k(z) = -43*z - 213. Calculate the remainder when k(-5) is divided by v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r - 21. Let b(l) = -52*l + 129. Let z(y) = 43*y - 103. Let h(w) = 4*b(w) + 5*z(w). Give o(h(v)).\nAnswer: 7*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 410*l - 175904. Give c(429).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10079 greater than or equal to 10078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 42*g + 10. Let a(y) = 5 - 684*y + 236*y + 242*y + 220*y - 2. What is -7*a(s) + 2*o(s)?\nAnswer: -14*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 6*z + 224. Let b = z - -75. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00030376 to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 640097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2011.7 + 2005.7. What is the biggest value in 4.1, q, -1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 145 * -1376\nAnswer: -199520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 5 = 0, 3*o - 5 = 3*u - 2*u. Let n(x) = x**o - 1 + 3 - 4 + 3*x - 1. Let p = -2 + 4. Calculate n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 186622*j - 4478931. Calculate d(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -25 - -33. Let p(a) = a**3 - 6*a**2 - 4*a - 17. Is p(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -300254709 and -300254709 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 21320 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1348632*5\nAnswer: -6743160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -13 - 644b?\nAnswer: -6462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) 9 (c) 2 (d) -5 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-g**2 + 2*g**2 - 2*g**2)*(5*g - g - 3*g) + 0*g**3 - g**3 - 3*g**3)*(-3 + 3 - 3*g).\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -2*y - 14. Let b be x(-8). Solve o = b*t - 11, 2*o - 7*o = -4*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o**3 - 5*o**3 + 3*o**3)*(0 - 1 + 3 + (-1 + 0 + 2)*(3 - 2 - 3) - 3 + 1 + 0 - 1 + 0 - 2)*(-o - 2 + 2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**2 + 31*l + 86. Let r be (-2)\/7 + (-963)\/(-63) + 1. What are the prime factors of a(r)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 - -13011004?\nAnswer: 13010666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 328750 is divided by 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 20b0 (base 15) to base 10.\nAnswer: 6915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = q - 4*f + 13, 2*q = 3*f + 70. What is the greatest common factor of 87 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, 0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4543 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yrqy when four letters picked without replacement from xqyyaryyxrrqayaqqy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the second derivative of u**3 + 0*u**2 + 0*u**4 + 0 + 1\/4*u**5 + 7*u. What is the second derivative of z(t) wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 110\/6*(-90)\/1650*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from tdooottt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -13946427*b**3 - 11805*b**2 + 11805. Let j(x) = 2363*x**3 + 2*x**2 - 2. Calculate -4*c(m) - 23610*j(m).\nAnswer: -4722*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 12509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-304)\/228*(-33)\/4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -2*sqrt(95)\/(sqrt(605)*2 - sqrt(605)))**2.\nAnswer: -16*sqrt(19)\/11 + 2012\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 85955493 and 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -290774 (base 12) to base 9.\nAnswer: -1254147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 13, 43, -17.\nAnswer: -17, -3, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 * 189266.\nAnswer: 1324862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 13*n**2 - 7*n - 5. Let i(d) = 6*d**2 - 3*d - 3. Calculate -3*b(s) + 7*i(s).\nAnswer: 3*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 187734 and 1868.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -774943044, -774943043, -774943042, -774943041, -774943040, -774943039?\nAnswer: -774943038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 2*z = -70, -d - 3*d - 86 = -z. Let c be (d\/(-4))\/((-6)\/(-12)). Calculate the highest common factor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 45627 + -26974. List the prime factors of x.\nAnswer: 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 975751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7977 take away -26?\nAnswer: 8003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 92, 366, 826, 1472, 2304?\n\"Answer: 93*x**2 - 5*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 115.4 less than or equal to -646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 33 = q. Let k(z) = z**3 + 10*z**2 - 12*z - 7. Let u be k(q). Differentiate -2 + u*c + 7 - 3 + 0 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -221041\/24 - -9212. Find the common denominator of g and -56\/1455.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10 + 1)*(-1533 - -1538)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-4\/11)*n*n**4\/n*n*(n\/(n\/(n**(-2\/11)\/n*n)*n)*n)\/n**7 assuming n is positive.\nAnswer: n**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -299210.71 rounded to the nearest one thousand?\nAnswer: -299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 65364, 130724, 196074, 261408, 326720, 392004, 457254, 522464?\nAnswer: 587628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 352525 and 479375?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 4*q**2 + q + 11. Let g(s) = -s**2 - 1. Suppose 3*d = -5*n + 12, -115*n - 4 = -118*n - 5*d. What is n*g(p) + m(p)?\nAnswer: p**2 + p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -9, -7, -15, -45, -109, -219?\n\"Answer: -2*t**3 + 7*t**2 - 5*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 1, 13, 2, -1 in ascending order.\nAnswer: -1, 1, 2, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -283731 at least as big as -283733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -2) + 3 + -1 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of -12\/5*v**2 + 0 - 28\/15*v**3 - 31*v - 49\/90*v**4. Factor y(w).\nAnswer: -2*(7*w + 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 17 + -9. Let j(z) = 2*z**2 + 2*z + 0*z**2 - h - z**2. List the prime factors of j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**2 + 8*i - 3. Let k(p) = p**2 - 1. Let g(q) = -2*k(q) - w(q). What are the prime factors of g(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0\/((((-33)\/(-30))\/(-11))\/((-42)\/9240*22))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(19) - (sqrt(684) + -1)))*1 + (sqrt(2299) - (2 + sqrt(2299))*-6)**2 + -1.\nAnswer: 1843*sqrt(19) + 112794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 29445 and 5135.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/26 and 9\/65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 111729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, -566, -2, -6446 in descending order.\nAnswer: 1\/8, -2, -566, -6446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 17 = -21. Suppose 0 = -z*o - f + 92, 0 = -5*o - 5*f + 63 + 67. Solve -3 - o = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5939029?\nAnswer: 1999, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -96*c**5 + 24959*c**4 - 21165342*c wrt c.\nAnswer: -1920*c**3 + 299508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 62*g + 66*g**3 - 89*g**3 - 79*g**3 - 93*g**3 + g**2 wrt g.\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/(-2)*(-4 + 8). Suppose -2*v + 12 - k = 0. Calculate the remainder when (14 + 1083\/(-76))*(-30 - (-4)\/2) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*d**2 + 50*d + 0*d**2 - 50*d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2)\/(-1)*70\/5 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuuupquuupuup. Give prob of sequence up.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -5 + -1 - (13 - 18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 10*o + 13*o + 200 = 0, -12*s = -o - 480. Calculate the highest common divisor of s and 32040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of 1\/40*d**5 - d**3 + 1\/8*d**4 + 0 + 0*d + d**2 - 1\/360*d**6. Let b(j) be the first derivative of f(j). Calculate b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, j: 4, v: 1}. What is prob of picking 3 j and 1 m?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -510, -633, -840, -1131, -1506, -1965, -2508?\nAnswer: -3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21996*t - 6*t**2 + 21996*t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4 + -6 + 14 - -5659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 16 = 2*h. Let r = -91 - -96. Let p(c) = 3*c - c + 6 + 9*c + 11*c**2. Let t(n) = -7*n**2 - 7*n - 4. Give h*t(j) + r*p(j).\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2. Let c(x) = 8*x**2 - 13*x + 11. Let u(a) = c(a) - 6*l(a). Let y(g) = -g**2 + 7*g - 6. Let o be ((1*-22)\/2)\/((-9)\/9). Give o*y(q) + 6*u(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the first derivative of -3*u**4\/26 - 11*u**3\/39 - 2*u**2\/13 - 101*u + 89. Let h(a) be the first derivative of y(a). Solve h(f) = 0 for f.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -77*d**3 + 81*d**2 - 31274*d wrt d.\nAnswer: -462*d + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77693 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -115\/192 and 51\/2048?\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.183 and -0.6.\nAnswer: 0.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8\/2*34\/(-8). Suppose -14 = -0*i + 2*i. Let c = i - z. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k = -7*k + 384. Suppose k*c - 20*c = 20. Sort c, -2, 4, -14.\nAnswer: -14, -2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 42 - 42. Let u be (2 - -1) + -3 + b + 3. Sort u, 0.08, 1 in increasing order.\nAnswer: 0.08, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -48693698.599998125 - -48693721. Let n = m + -22.4. What is n rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(119)\/(sqrt(63)\/(sqrt(576) - sqrt(9) - sqrt(9))) + (sqrt(425) - (sqrt(425)*-2 + -5)) + -5.\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.191 - -0.128. Let q = 5.063 + k. Which is the third biggest value? (a) -3 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38740764.\nAnswer: 2, 3, 43, 75079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -182, 37, 4, -190 in decreasing order.\nAnswer: 37, 4, -182, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 20852431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26819*-25.\nAnswer: 670475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23\/15 - 1\/45. Suppose 5*p + 910 = 5*t, 3*p + 911 = -2*p + 4*t. Find the common denominator of j and 1 + 10\/(-12)*p\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1726627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11 or 1\/72?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.060294687660898 from -0.4.\nAnswer: -0.460294687660898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 157 and 3?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2 + 4. Let q = 2 + -2. Let w be o(q). Suppose -w*j + j + 3 = 0. Calculate the highest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 449 = 3*v, -6*v = -5*g - 4*v + 446. Solve -8*o**2 + 7*o**2 - 5*o**2 - g*o + 2*o**2 = 0 for o.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-166160)\/(-80600)*(-260)\/(-8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28838927 and 69719.\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 - 26*c**2 + 28*c - 61. Let l be s(25). Suppose l*b - 17*b + 51 = 0. Suppose -b*r + 4837 = -10*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -150.25523 rounded to 1 decimal place?\nAnswer: -150.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/((-12)\/4) - -1. Suppose 5*d = -r - 11, 0 = -4*r - d - t*d + 20. Solve 0 = 6*s - 3*s - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h**3 + 231350 - 231350.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 53581.71 weeks in nanoseconds?\nAnswer: 32406218208000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 3*f**2 - 72*f + 202. What is g(6)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:01 AM and 11:00 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 - 4. Let n(f) = 0*f + f - v*f - f. Let z(c) = 5*c. Determine n(z(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1271\/93)\/(1*(-9)\/(-27)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-17)\/(1615\/10))\/1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -4*p**2 + 159*p. Let v(d) = -d**2. Give u(v(j)).\nAnswer: -4*j**4 - 159*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13 - -18. Let c = 4 - l. Sort 0.4, c, -1\/4.\nAnswer: c, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.5, -1389.7 in descending order.\nAnswer: 0, -0.5, -1389.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 31 = -3*l, -89879*l + 89884*l = -x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3276*t**2 - 3291*t + 21. Give l(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01412718319 to 5 dps.\nAnswer: 0.01413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22 - (80 - 36))\/(1*(-4 + 2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 5*u - 5. Let k be z(-5). Suppose 0*r + 200 = -2*r - 4*v, 0 = 2*v. Let h be (k\/r)\/(12\/(-10)). Which is the closest to h? (a) -2\/5 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 501313417 and 10714?\nAnswer: 5357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*f = 299 + 320 - 694 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4 + (-2 - -2) + -2. Let q be (2\/(139 - -1))\/((-1)\/d). Suppose 0 = -0*j + j + 1. Are j and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 102, 445, 1446, 3435, 6742, 11697?\nAnswer: 18630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*x**3 + 12*x**2 - 180*x.\nAnswer: 4*x*(x - 3)*(4*x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j**(-2\/47)*j))\/j**24 assuming j is positive.\nAnswer: j**(-1079\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(3*sqrt(117)*-2 - sqrt(117)))\/(6*(sqrt(144) - sqrt(144)*-1)))**2.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 620727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, -12, 7, 11 in descending order.\nAnswer: 11, 7, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3860284730 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 29 = 5*f. Suppose 59 = -f*j - 41. What is the units digit of ((-4)\/(-8))\/((-1)\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1022 - -20?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -106*o - 3602. What is the least common multiple of 16 and g(-34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 281.829 to the nearest integer.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8426950 rounded to the nearest ten thousand?\nAnswer: 8430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 6 + -3 + -3 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = 2, -7 = 82*r - 77*r + q. Is r greater than -6\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*w - 24, 3*w + 2*w + 3 = -4*m. Let d be 0 - (w - -4 - 0). Let o = 447\/4 + -111. What is the closest to 1\/4 in 0, d, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the second derivative of v**4\/28 - 69*v**3\/7 + 14283*v**2\/14 - v - 16. What is b in u(b) = 0?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 (base 16) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -108\/23? (a) -1\/6 (b) 0.7 (c) 0 (d) -78 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*c - 1183567 = 568274. List the prime factors of c.\nAnswer: 7, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 + 9*g + 14. Let d be h(-10). Let j be (-6)\/20 - (-12)\/d. What is the second biggest value in j, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -16 + 26. Let a = w + -9. Let x = 15 + -10. What is the biggest value in x, -1, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/299 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from {q: 6, m: 3, z: 3, n: 1}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}