{"text":"Question: Find the common denominator of 163\/42 and 83\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:49 AM and 5:47 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 363 * -52.\nAnswer: -18876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - -16) + 46 + -15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 9:23 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9\/99*-79 - 6 - -13. What is the third biggest value in s, 25.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1145 (base 9) to base 3.\nAnswer: -1011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 PM and 11:07 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -776, -794, -802, -794, -764, -706?\n\"Answer: s**3 - s**2 - 22*s - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -c**4 - 347*c**3 - 33812*c**2 - 753676*c - 4838064 = 0 for c.\nAnswer: -187, -132, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 + 3*f - 6. Let w(g) = 2*g**2 + 5*g - 12. Let u(t) = -5*o(t) + 2*w(t). Give u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 916008 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -17*w - 167. Let z(y) = 17*y + 166. Let t(i) = -5*n(i) - 6*z(i). Let r be t(-10). Solve 0*d + 4*c + 3 = -5*d, 3*c + r = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of j**4\/24 - 2*j**2. Let u(h) = 2*h**2. Calculate u(t(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be -8*(1 + 9\/(-6)). Suppose 0 = q*j - 108 - 4. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 4*q**2 + 5*q + 1. Let r(s) = 7*s**2 + 11*s + 2. Determine 13*c(f) - 6*r(f).\nAnswer: 10*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 798.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q + 78 - 63 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113563901?\nAnswer: 11, 10323991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 0.02, 0.3, 0, -0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uxlxukuzluil. Give prob of picking 1 z, 1 x, and 1 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2 - -8.8. Let o = -9.9795 - -0.0395. Let q = h + o. Round q to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-350)\/(-20))\/((-1)\/(-2)). Suppose 0 = d + 5*r - m, r + 0*r - 2 = 0. Let u = 31 - d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooooooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 200 and 25238900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/14 - 312\/(-84). Let v = -9 - -13. Suppose v*m - 128 = z*o - 20, -m = -2*o - 25. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1084021, 1084024, 1084029, 1084036, 1084045, 1084056, 1084069?\nAnswer: 1084084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**2 + 4446*x**3 + 5*x**4 - 4446*x**3)*(28 + 39*x - 28).\nAnswer: 195*x**5 - 39*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -114 - -124. Let y be (18\/4)\/(2\/4). Let s = y - x. Which is bigger: s or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(1\/2)\/n*n*n)\/n)**(11\/7)\/(n*n**(-1\/4))**(4\/7)*((n\/(n**(2\/7)*n))\/n*n*n**(1\/7)*n*n)\/(n*n**(-2\/7)*n)**(1\/14) assuming n is positive.\nAnswer: n**(205\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7316\/27 - -271. Let z(k) be the second derivative of -n*k**3 + 1\/54*k**4 + 0 - k + 0*k**2. Factor z(f).\nAnswer: 2*f*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -5*w + 13. Let p(u) = u + 1. Let a(l) = 9*l - 1. Let h(n) = a(n) - 6*p(n). Determine 6*b(t) + 11*h(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*h = -30*h - 4*b - 12, -3*b = 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 PM and 3:40 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 4 - 41 = 0. Which is smaller: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -27011 + 27094. Which is the closest to v? (a) -1 (b) -2 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.1 - -1.9. Let y = -461 + 449. What is the closest to y in j, 1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*o - 146 = -14*h + 17*h, 0*h - 4*h - o = -5*o + 288 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 516, 505, 478, 429, 352?\n\"Answer: -a**3 - 2*a**2 + 2*a + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-36)\/16)\/(3\/8). What is the units digit of (-4)\/4*(-75 - d\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -4*l - 31. Calculate r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (550\/(-165))\/((-1230)\/18).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of -q**3\/3 - 3*q + 14. Let t(g) = -47*g**2 - 2*g. Give s(t(a)).\nAnswer: 94*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110000010000001010010011 - 1101?\nAnswer: -1110000010000001010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 PM and 2:45 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6384 divided by -3?\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s + 18. Let h(d) = -64*d + 90. Determine 6*c(t) - h(t).\nAnswer: 58*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -0.0926, 2\/975 in descending order.\nAnswer: 1\/2, 2\/975, -0.0926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence odk when three letters picked without replacement from kddodkk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.01 - -0.31. Let b = -0.032 + -41.968. Let u = b - -41.8. What is the closest to 0 in u, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.3 and 963.\nAnswer: 2214.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = 3*x + 2, -5*x + 3*w - 6 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -18 + 30. Find the second derivative of 11*m - 3*m**3 - 3*m**3 - p*m wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 2\/37 (c) -4 (d) -2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -26.2 + -7.8. Let w = 33 + j. Let x be (-2)\/(-4)*(-4)\/(-6). Is w at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-16 + -3 + 1)*(-1)\/3. Find the second derivative of -z*g + 24*g - 6*g**5 + 14*g wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**2 - 6*j + 9. Let z be t(-7). Suppose w = -z*w + 105. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (((-180)\/16 - -3) + 9)\/(105\/40). Let j = -0.06 - -0.46. Let r = j + -2.4. Which is the third smallest value? (a) p (b) 0.2 (c) r (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + -1. Suppose h - 6*h + 14 = 2*y, -y = -5*h - 7. Calculate the smallest common multiple of y and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 - 9 = 2*v, -4*q = v + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**3 - 6*g**2 - 9*g + 18. Let k be i(7). Suppose 2*w + 2*w - 18 = 2*y, -9 = -k*w + 5*y. What is the least common multiple of w and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by 119693331.\nAnswer: 2\/39897777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from {e: 2, r: 2, v: 3, k: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 12 = -3*t - 7*n, -3*n = 3*t - 9. Suppose -q + 6*q - 180 = t. Let r = 27 - 14. What is the remainder when q is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 - 10*a - 10. Calculate v(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 8 = 4*g. Let r(a) = a**3 - 19*a**2 - 42*a. Let y be r(21). Solve y = -2*h + 3*u + 6, 4*u + 4 = g*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0221426 to 4 dps.\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 211, 269, 333, 403, 479?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -t, 3 = u - 4*t + 27. Let w be (0*(-2)\/u)\/(-1). Suppose w*m - 2*m = -8. Solve -z = -3, 4*q - q + 3 = -m*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2657940 divided by -310.\nAnswer: 8574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 101 - 100.7. Sort 2\/5, -1\/24, -1\/2, b in decreasing order.\nAnswer: 2\/5, b, -1\/24, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, a: 5, b: 7, c: 1, f: 1}. Give prob of sequence yab.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, q: 1, c: 2, v: 4, l: 2}. What is prob of sequence cc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -6*i**3 - 3*i**2 + i - 4. Let p be o(-3). Suppose -5*d + 939 = 3*q - p, -4*q = 2*d - 424. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (39798\/2948)\/(1\/(-2)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7*(1\/(-1)*-5)\/((-661)\/(-1322))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 8:02 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 5, t: 11}. Give prob of picking 4 w.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 - j - 10*j - 14 + j**2 + 13. Let y be m(3). Suppose -y*c + 3 = -279. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the first derivative of 51*f**5\/5 + 44*f**2 + 25. Find the second derivative of i(d) wrt d.\nAnswer: 612*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 48*f**2 - 2. Let z(r) = 35*r. What is z(n(k))?\nAnswer: 1680*k**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*a + 6*a - 65 - 37 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*z - 0*z + 24. Let g be (4 - z)\/(6\/9). Solve -g*x = -2*b - x + 4, 0 = -2*b + 5*x + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 12:03 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87*v = 81*v + 54. Calculate the greatest common divisor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -6*b**3 + 4*b**2 + 6*b + 22. Determine u(-3).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 725205.\nAnswer: 2900820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5 less than -154756997648180?\nAnswer: -154756997648185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 14*p - 3. Let h(f) = -13*f + 3. What is 5*h(s) + 6*n(s)?\nAnswer: 19*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38 + 38 - 1753*n.\nAnswer: -1753*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-120)\/(-144)*((-54)\/(-21))\/6?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v\/(v\/v**(-3\/7)))*v*v*v**(-1\/3))\/((v**(-2\/5)*v)\/v)**(-5\/17))**(-2\/47))**(2\/3) assuming v is positive.\nAnswer: v**(-4252\/50337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-28)\/2 + -4)*-20. Suppose -5*o + 9 = 2*u - q, 3*u + 2*o - 526 = 0. Let w = -108 + u. What is the highest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 167 divide 76165026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 16 = -5*y, y - 11*t + 8*t - 7 = 0. Let w(k) = -3*k**2 - 4*k - 2. Calculate w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 4 - ((1 - -2) + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -98 + 177. Let u = -21 + p. Let r = 58.00000036 - u. Round r to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(1\/(-7) + (-19)\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**2 - 5910395*w + 17731230.\nAnswer: -5*(w - 3)*(w + 1182082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 9 + 2*x**2 - 3 + 0*x**2 + 11*x + 0*x**2. What is the tens digit of l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 203166 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/5, 0.71, 3\/7, 2\/7, -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**20\/o*o**(-5)*o)\/(o*o*o*o**5*o*o)**(6\/13) assuming o is positive.\nAnswer: o**(135\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2402572 is divided by 242.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*z + 74*z + 1680 = 0. Suppose -11 = 4*b - 39. Suppose -2*u + b*u = z. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36)\/10*(-260)\/156*(-23)\/(253\/88).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6226182 to the nearest integer?\nAnswer: 2495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 588151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is (-27351)\/(-18) + 3\/6 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 950.4031 centuries in millennia?\nAnswer: 95.04031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the third derivative of 241*a**5\/30 + 95*a**2 + 2*a - 5. Let b(p) = 4*p. Determine b(g(s)).\nAnswer: 1928*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 0.4, -2, 5\/2, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from kaakaaakaka.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12 < -294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -t - 1. Is 1\/15 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 0*u**2 + 8*u**2 + u**2. Let j(p) = p**2 - 22234*p + 22234*p. What is j(b(a))?\nAnswer: 81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -88*291168\nAnswer: -25622784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2.8 plus -0.1643?\nAnswer: -2.9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.7 + 13.7. Let u = 4 - d. Let x = u + 11. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (-10 + 34 + -10) - -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 6*t - 3*t**2 - 6 + 11 - 16 + 2*t**3 + 13 as z*t**3 + q + p*t + y*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-14)*14\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -14*k**3 + 2*k**2 + 2*k + 8. Let y(g) = g + 22*g**2 + 8 - 5*g**3 - 44*g**2 + 23*g**2 - 5. Determine 3*u(w) - 8*y(w).\nAnswer: -2*w**3 - 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 8*g - 10*g. Let r be ((-9)\/g)\/((-9)\/16). Is 1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 0*j + 6. Let g be 0\/(-2) - (-1)\/2. Let x = 0.2 - 0.2. What is the closest to x in 0, g, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of x**6\/360 + x**5\/40 - x**3\/2 + x. Let s(k) be the second derivative of c(k). Find the second derivative of s(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 3\/4 (b) 1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 245 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -23521962*b**3 + 46887*b - 18 wrt b.\nAnswer: -141131772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(275)*-2 - sqrt(44)\/sqrt(4)*-6 - (-1*(sqrt(891)*1 + sqrt(891)) + sqrt(891)*2*-4).\nAnswer: 86*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 l, and 1 b when three letters picked without replacement from bpbbbbllbkzzbzbzbkb.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 416 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 2*b**3 + 2 + 8*b - 3*b**3.\nAnswer: -b**3 + 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - g = -5*q + 13, 0 = q - g - 5. Suppose -2*m - m + 3 = 0, -2*x - 2*m + 18 = 0. Solve 4*j = -3*k - x, -k + q*j + 4 = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(15\/12)*5985\/(-532).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - 2*k - 319022, -55*y + 4*k - 79769 = -56*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2*z - 31 = 3, 4*z + 120 = 4*s. Let g(v) = -v**2 + 35*v - 16. Calculate the least common multiple of s and g(34).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 788 and 16?\nAnswer: 12608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5.9 + -6. Let z = 0.902 + -3.902. Which is the closest to 1? (a) 0 (b) -44 (c) x (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1094 divide 2165356388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 AM and 11:18 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1546 * 99446\nAnswer: 153743516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of -57*x**5\/20 - 385*x**4\/12 + 65*x. Find the third derivative of b(q) wrt q.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -x + o, -3*o + 8*o = 4*x + 9. Solve 19*q**3 - 3*q**2 - 3*q**x - 11*q**3 - 9*q + 6 + q**3 = 0 for q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 2*n - 9, -n - 2*k + 1247 = 1243. Let w(r) = -r**2. Let g(q) = q**3 - 2*q**2 + 10. What is n*w(u) - g(u)?\nAnswer: -u**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b = -10 - 11. Suppose b = -l + 5. What is the third derivative of -7*i**2 - 11*i**6 - 7*i**2 + 6*i**l wrt i?\nAnswer: -1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00087395 to 6 dps.\nAnswer: -0.000874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:37 AM and 5:34 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 81\/400 and -29\/200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 22384802 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 o = -5 - -8. Suppose 0*z + 2*l + 69 = z, z + o*l = 84. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4277 and 376.\nAnswer: 34216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 5*m + 7443598 = 0, 5*m - 9924789 = -2*u - 2*u. Suppose -2*k - u = 1738809. Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, d: 1, r: 2, f: 1}. What is prob of picking 1 f and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a + 3*r - 24 = 0, 2*r - 18 = -3*a - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the second derivative of 7\/12*i**4 + 13\/2*i**2 + 14*i - 1\/3*i**3 + 0. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5294554*d**2*w**2 - d**2*w - 3*d*w**2 + 411570*d - 3*w**2 wrt d.\nAnswer: 10589108*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1101110 (base 2) to base 16\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wrr when three letters picked without replacement from wrwwr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y**2 - 420*y - 8820 = 0. Calculate y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -366 and 1534045?\nAnswer: -561460470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4587235321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 162, 193, 244, 315?\n\"Answer: 10*y**2 + y + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001683 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(-3))\/r*r*r)\/r**(-15\/7)*r**(3\/4)\/(r\/r**(2\/29)))**46 assuming r is positive.\nAnswer: r**(17963\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/30)\/((-24)\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 4*n**2 - 4*n + 6. Let j(l) = -5*l**2 + 4*l - 7. Let u = 4 + 0. Let g(t) = u*v(t) + 3*j(t). Let m = 2 + 2. Calculate g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 158396*c = 158421*c - 450 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:50 AM and 1:24 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor j**4\/3 + 28*j**3\/3 + 116*j**2\/3 - 1408*j\/3 - 1024.\nAnswer: (j - 6)*(j + 2)*(j + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 2*d - 132 = -46, -44 = -b + 5*d. Let f = b + -12. Let w(l) = l**3 + 6*l**2 + 2. What is the remainder when f is divided by w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 74 + -44. Suppose 3*w - 28 = -4*l, -42 = w - 3*w + 2*l. Calculate the remainder when j is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 8. Let x = 23 - u. Let l = 33.4 - x. Round l to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1244, 1296, 1356, 1424, 1500?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -19, -99, -313, -727, -1407?\n\"Answer: -11*h**3 - h**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5805 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -63 - -91. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6.66 - -5.66. Put l, -4, 8, -2 in decreasing order.\nAnswer: 8, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3629 + -3485. Calculate the least common multiple of s and 216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -182 + 197. Solve 1 + 3*n**2 - 7*n**2 - 26 - q - 28*n = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dwdddwwwddwd. What is prob of sequence ww?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -13038, -26064, -39090, -52116, -65142, -78168?\n\"Answer: -13026*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(209)*-3)\/((sqrt(66)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*(g\/g**11)\/g)\/((g*(g*g\/(g**2*g*g))\/g)\/g))**(-12\/17)*((g*g\/(g\/(g*g**(-1\/10))))\/g**(-4\/5))**(2\/35) assuming g is positive.\nAnswer: g**(15159\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the second derivative of 46*v**7\/21 - 11*v**4\/12 + v**3\/3 + 19*v - 2. What is the third derivative of c(j) wrt j?\nAnswer: 5520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 28726, 57267, 85612, 113761?\n\"Answer: -98*n**2 + 28835*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 5*y**3 - 180*y**2 + 165*y + 350 = 0.\nAnswer: -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -19\/845300 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - -24. What is the tens digit of 11655\/q + 3\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a = -89091 - -215068. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 4*w = -23 + 15, 0 = -2*c - w + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 6*l - 132. Let f(s) = s**2 - 9*s + 11. Let y be f(8). What is the highest common divisor of l and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the second derivative of -h**5\/50 + h**4\/3 + 11*h**3\/15 + 91*h - 2. Solve r(x) = 0 for x.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4601 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - 12. Let q(x) = 4*x**2 - 4*x**2 + x**2 + 13*x + 14 + 0*x**2. Does 5 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1324.64 + -1364. Let g = l - -40. Round g to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*g - 9 - 4 - 3.\nAnswer: -10*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + k - 30. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 614586 and 4158.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from yfxyfffffyxyff.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7.8? (a) 1 (b) 0 (c) 32 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 28 + -42. Let c(s) be the second derivative of -s**4\/3 + 43*s**3\/6 - 3*s**2\/2 + 239*s. Let j be c(11). Are j and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1118*p = -688*p - 545*p - 575 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -20122202120 (base 3) to base 4\nAnswer: -133333212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2 - -2 - ((-46)\/6)\/(7\/84). Solve 116 = 53*n - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 123 - 113. What is the least common multiple of q and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**3 - 4*b**3 + b**3)*(-3 + 2*b**2 + 3) + 111 - 34*b**5 - 111.\nAnswer: -38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mrrokommm. Give prob of picking 2 m and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.06122 and 147.\nAnswer: 147.06122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -n - n. Let r(v) = 26*v**2 + 117 + 111 + v - 230. Is r(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/(-12)*16\/(-6)*160\/(-880)*-110?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 0, 0.3, 3.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*k**2*x**2 - 26510714*k*x**2 + x**2 - 6*x + 217821 wrt k?\nAnswer: -4*k*x**2 - 26510714*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (384\/80)\/(2\/125). Suppose 16*h = 6*h + u. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49, -119, -201, -295, -401, -519?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 198, 205, 212, 219, 226?\n\"Answer: 7*r + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10110 + 50551\/5. Which is the nearest to -3\/4? (a) 0.9 (b) k (c) 3\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzwvwwzzwzwzwzzlwzz. What is prob of sequence zv?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 3*p + 64 = 0. Let v = p - -38. Let a = v + -4. What is the highest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from qjaekkw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -3 + (32 - (-2850)\/(-152))?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of 2*q**3\/3 + 1. Let m(k) = -18*k + 4*k - 6306 + 6306. What is i(m(f))?\nAnswer: 392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 862*f + 865*f + 4*f**3 - 1727*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*c + 4*s - 3*s, -4*c - 2*s + 4 = 0. Put 2\/11, 0.4, c, -10 in descending order.\nAnswer: c, 0.4, 2\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + 0*n - 2*n)*(3*n**3 + n**4 - 3*n**3) - 3 - 5*n**5 + 3 + (5 - 1 + 4)*(2*n**2 - 2*n**2 + 2*n**5).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/12)*j\/(j**(1\/6)*j*j))\/((j**4*j*j)\/j)**(4\/13) assuming j is positive.\nAnswer: j**(-409\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(75) + 2 - -3*(sqrt(75) + -2)) + -1.\nAnswer: -8 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 480446 and -8.\nAnswer: -3843568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 312 and 510857607?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-4\/15)*s*s)\/(s*s**(5\/4)\/s) assuming s is positive.\nAnswer: s**(29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -0.4, 3.8 in descending order.\nAnswer: 3.8, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from mmzzmzmmmmm.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.18 - 0.08. Sort 0.5, 8, r.\nAnswer: r, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -4*b**3 + 1609*b**2 - 403*b + 200. Calculate c(402).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1, -959, 5, 1 in ascending order.\nAnswer: -959, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -37.3 (b) -5 (c) -17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 4*z - 0*z + 496, -n + 5*z = -116. Let a = -76 + n. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1974247291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 + 45\/1)*(-37)\/(-148). Suppose k = 4*b + s, 5*s + 10 + 7 = 4*b. What is the second biggest value in -1\/7, -0.05, b?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (0 - -11) - (319 + -312).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lslsklslllssss. Give prob of sequence sls.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13293314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 + 3)\/((-4)\/(-12)). Suppose -2*n + x + 1 = 0. Is ((-2)\/(-5))\/(n\/425) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1622*y**3 + 3386*y**3 - 1752*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -38 + 40. Suppose 3*i = h*i - 6. Let a be (30\/(-4))\/5*756\/i. Calculate the highest common divisor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, 1, 38\/125, 4, 11, -0.8 in decreasing order.\nAnswer: 11, 4, 4\/3, 1, 38\/125, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 744047.1l in millilitres?\nAnswer: 744047100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of g**4\/4 + g**3\/3 - g**2\/2 + g - 7. Let l(t) = 4*t**3 + 3*t**2 - 3*t + 3. Determine -2*l(j) + 6*n(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -18*a + 18*a + 3*a**2 + (1 - 6 + 3)*(-3*a**2 + 3*a**2 - 4*a**2) + (-7*a + 3*a + 3*a)*(0*a + 3*a - a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5228324668 to the nearest integer?\nAnswer: 72307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/7 + 18\/(-14). Let i = -0.7 + -0.1. Let h = i + 0.9. What is the third smallest value in h, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 15 + 5. Is l less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 4, i: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 88 = -4*n, 4*y = 4*n - 1 + 69. Suppose -2*v - y = 5*b, 3*v - 8*v + 16 = -4*b. Suppose 5*j + 5*x + 0 - 15 = 0, 2 = x. Solve r = -v + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000008032435785 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3888 or -4096?\nAnswer: -4096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.05 + -0.95. Let m = 3 + u. What is the third smallest value in -2\/9, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 519*q - 53*q**4 - 24*q**4 - 521*q - 2 + 9*q**2 in the form d*q**3 + l*q + o*q**2 + h + m*q**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 9 (b) 3.2 (c) -8\/5 (d) 3\/2 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - 70*r + r**2 + 38*r + 36*r - r**2.\nAnswer: r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mvhvhhmhvmhvvheh. Give prob of sequence vhh.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 52016 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/((-18)\/4)*3. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*y + 2*i - 46 = 2*y - 10, 4*y + 2*i = -24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m**2 + m + 1. Let k(g) = g**3 - 11*g**2 + 25*g + 40. Let j(b) = 4*i(b) - k(b). List the prime factors of j(-7).\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15226 - 15226. Let g(d) = -13*d + 70. What is g(u)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the third derivative of q**6\/12 - q**5\/60 + q**4\/6 - 5*q**3\/6 + 5*q**2. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193\/20219 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**3 - 6*h**2 + 2*h - 5. What is c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**2 + 9*u + 35. Let c be k(0). Suppose 4*a - c - 2093 = 0. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -609, -612, -647, -732, -885, -1124, -1467?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 10 = -5*n, 126*n + 815 = 2867*v - 2871*v + 157 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = 3*k - 1255 + 1283, -u = 1 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - 11110?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-12)\/(-1)*(-21)\/14. Let k be f*1*(-7)\/21. Let j = k - 5. Solve 4*a - j = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2561.157*0.4.\nAnswer: 1024.4628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u + 3. Let i(r) be the first derivative of -5*r**2\/2 - 13*r - 205. What is 9*b(m) + 2*i(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3948 and 4368?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 73579 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 26.26 + -26.06. What is the nearest to -3\/4 in -2, a, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u**7)*u*u**6)**(-20)*u**5*u**(-2)*(u*u**(2\/3)*u)**(-41) assuming u is positive.\nAnswer: u**(-319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 139? (a) -2\/23 (b) 45 (c) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/(2*sqrt(8)*-1) + 0)**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.23 - -21.73. Let i = 21.4999913 - k. What is i rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(4235)*-1 + sqrt(35))*-3)\/(-3*sqrt(180)))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3394930 and 357129.\nAnswer: 274989330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/4 - 141\/(-6). Suppose -25*m + 278 + 707 = -2315. Calculate the greatest common factor of m and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3628332 and 116106624?\nAnswer: 116106624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is b in -1\/5*b**4 + 13\/5*b**2 + 0 + 0*b**3 + 12\/5*b = 0?\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 401 divided by -1\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 5*i - 40 = -4*c, -4*c = -4*i. Let s be 1 + (-1)\/(-1)*-1. What is the nearest to 0.1 in s, c, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u\/(u*u\/u**(1\/2)))*u*u**0*u)**42\/((u**(-2))**(-2\/127)*(u**(-1))**15) assuming u is positive.\nAnswer: u**(15236\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77941 is divided by 1110.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 801\/1708 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (165\/(-18))\/((-190)\/(-57)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/337669, 4, -0.2 in decreasing order.\nAnswer: 4, 6\/337669, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 12\/2 - (1 - -2). Suppose 0 = -5*u - 10, -5*y = -n*u - u - 23. Suppose -y = -3*f + 51. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -46*q**2 - 85*q + 1. Let n(x) = 98*x**2 + 170*x - 2. Let t(o) = -13*c(o) - 6*n(o). Find the second derivative of t(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -93081 - 3*o + 93081.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4469 take away -0.4?\nAnswer: 4469.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (48\/5)\/((-2)\/(-10)). Let h = a + -32. Calculate the greatest common factor of h and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 50 + -30. Let o = 19 - a. Which is greater: o or -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -3*d**3 + d + 2. Let w be o(-3). Suppose 0 = 8*l - 4*l - w. Calculate the greatest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 22*l + 9*l)*(0 - 5 + 3).\nAnswer: -62*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -414*m - 3737. Determine x(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3479492 and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2065 is divided by 185?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 286 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -2*r**2. Let c(v) be the third derivative of -11*v**5\/3 + 6139*v**2. Give c(o(w)).\nAnswer: -880*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3582 to three decimal places.\nAnswer: 0.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*g + 56*g = -31486. Let r = g - -3971. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2714732.\nAnswer: 2, 31, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -28 + 24. Does 15 divide (-4)\/(-4) + n - -93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*d - 9994 - 3 = 0. What are the prime factors of d?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 278856 and 14157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2657102, 2657165, 2657230, 2657297?\n\"Answer: i**2 + 60*i + 2657041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1657 + 20?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 21*b**2 - 11*b**2 + 33*b**2 - 5 - 12*b - 10. Let k be h(8). Let s(m) = -8*m - 2641 + k. Let f(w) = -3*w**2. Calculate s(f(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w - 197. Let p(c) be the second derivative of 5*c**4\/6 - 4852*c. Determine p(r(o)).\nAnswer: 10*o**2 - 3940*o + 388090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -3*t**2 - 6*t - 8. Let q(s) = 1. Let f(y) = -2*q(y) - v(y). Let k be f(-3). Find the third derivative of -16*o**4 + k*o**2 - 29*o**2 - 8*o**2 wrt o.\nAnswer: -384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 7055.85 and 274.\nAnswer: 7329.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 96\/(-576)*6\/(-10)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10416 + 10765. What is the remainder when b is divided by 262?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/z**(-2\/9)))**(-43)\/((z*z\/(((z*z**10*z)\/z)\/z))\/((z*z*z*((z\/((z\/z**7)\/z))\/z)\/z*z*z*z)\/z)) assuming z is positive.\nAnswer: z**(257\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**2 + 3. Let k be i(-2). What is the remainder when 7 is divided by (-6)\/k - (-6 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 909 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-513)\/228 + 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ccanaccanaaancaca?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (6 + 91\/(-14))\/((-131817)\/(-16478) - 8) is divided by 108.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of -9*p**2\/2 - 5*p - 237. Let m(q) = q + 1. What is -6*m(r) - y(r)?\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n + 20. What is d(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -198.454 + 0.454. Let q = -197.99999883 - v. Round q to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9 - 2 - 1 + 51*g**4 - 2*g + 3*g**3 + 4*g - 29*g**4 - g**2 as f*g**2 + z*g**4 + i*g**3 + b*g + p and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 PM and 6:14 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3518972 to the power of 1\/2, to the nearest integer?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 + 18*o + 64. Let n be j(-3). Put n, 2.6, 2, -0.2 in decreasing order.\nAnswer: 2.6, 2, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-165)\/4136)\/((-3890)\/12448)?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*x - 4*x + 40 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-204)\/9*(-5 - -3 - -5). Let y = 58 + j. Let d(b) = b**2 + 13*b + 13. Give d(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1ccc626 - -d?\nAnswer: 1ccc634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/15)\/((-5)\/((-45)\/(-6)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2183619 is divided by 571?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/180 and 5\/70524.\nAnswer: 352620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 48930731 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -4*p + 9. Suppose -z + 1 = -p*f, 48 + 4 = 4*z + 4*f. Calculate the remainder when 61 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265.05093 months in centuries?\nAnswer: 0.220875775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -w**3 + 10*w - 1 + 11*w**2 + 19*w**2 + 10*w**2 - 43*w**2 as s*w**3 + b*w + y + a*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29868.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -96*s**3*w + 46*s**3 + 13*s**2 + 811*s + 28390*w**4 with respect to w.\nAnswer: -96*s**3 + 113560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.95 + 0.05. Let p = 1 + m. Let v(z) = -z + 3. Let o be v(8). What is the second biggest value in 5, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 377872 (b) -1\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38 and 2261.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17205902.\nAnswer: 2, 7, 1228993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -279315*r**2*u - 139193*r**2 wrt u?\nAnswer: -279315*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30785 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 PM and 4:37 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9420 is divided by 255?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/121400 and -91\/29920.\nAnswer: 90807200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = t + 226, 6*n - 270 = n - 5*t. Let o be (-24)\/n + 17\/7. Suppose -o*z = -4*z. Is z greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 8 = -4*x + y, 4*y = 3*x - 17. Suppose -b + 28 = x*b. Let s = 83 - b. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w + 11. Suppose -4*j + 2*j - v + 2 = 0, -v - 16 = -4*j. Calculate the remainder when n(-5) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/((i\/i**(-2\/7))\/i)))**(-5)*(i**(-1\/2))**(-40) assuming i is positive.\nAnswer: i**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/427 at most as big as 0.02119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3254987 is divided by 464997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of t**6\/45 + t**5\/10 + 19*t**4\/24 + 9*t**2. Let w(k) be the second derivative of q(k). Differentiate w(u) with respect to u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 92 + -133. Let w = 102 + p. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.19474 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3 + 0)*10\/(-15). Let f be -2 + 0\/b + 3. Which is greater: 2\/15 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -4 + 1*4\/408*337. Let x = -1\/34 - v. Which is the nearest to -35? (a) x (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 598 a factor of 2582408582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of -c**5\/12 - 215*c**4\/24 - 475*c**3\/3 + 1530*c**2. Find s, given that p(s) = 0.\nAnswer: -38, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/4 + ((-25)\/(-2) - -5). Suppose 19 = 2*q - n. Calculate the least common multiple of q and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 19308 + 0.080456.\nAnswer: 19308.080456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -24? (a) 3 (b) 4 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 162 + -160. Suppose 5*t = -4*z - 13 + 1, -4*t + 3*z + 9 = 0. Solve -p*c + 0 - 8 = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 13*d**3 - 11*d**2 - 4. Suppose -f - 4*w = -2*f - 15, 3*f - 2*w + 45 = 0. Let x = f - -9. Let v(t) = -7*t**3 + 6*t**2 + 2. Determine x*j(s) - 11*v(s).\nAnswer: -s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -627499*i + 339. Let k be s(-35). Suppose -8*o - k = 36917196. What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 218*i - 6 = 214*i, 0 = 2*i - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/51 less than or equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 4*q**2 + 62. Let i be h(0). Let n = 62 - i. Suppose n = -2*t - b + 3299, b - 8431 = -4*t - 1830. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-10) - (-13)\/5. Let q = -3 + 5. What is the first derivative of q - 2*u**3 + 0*u**v - 5 wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 5*h + 6. Let u be r(0). Let c = 50 - u. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 206 = -2*l, 2*l + 16*w = 14*w + 224. Solve 0 = u - l + 115 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -6*r**3 + 59*r**2 - 162*r + 162. Let h(p) = 3*p**3 - 29*p**2 + 81*p - 81. Let o(k) = 5*h(k) + 2*x(k). Factor o(b).\nAnswer: 3*(b - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 108, 5, 0, -4, 2 in descending order.\nAnswer: 108, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 58*c**4 - 4368*c**3 + c**2 - 5573*c - 688.\nAnswer: 696*c**2 - 26208*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 36\/2505*2110\/9. Let z = b - 6\/167. Factor -4 + z*a**2 - 26\/3*a.\nAnswer: 2*(a - 3)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 505.0094km to centimeters.\nAnswer: 50500940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -500*q**4 + 900*q**3 + 195*q**2 + 10*q.\nAnswer: -5*q*(q - 2)*(10*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + ((-2*sqrt(33) - sqrt(33))\/sqrt(3) - (sqrt(11) + 0 + 0)) + -1)**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 30042618 and 12.\nAnswer: 60085236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/53))**(-4\/5) assuming d is positive.\nAnswer: d**(-8\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*r + 23*r = 5*w + 625, w = r - 125. Let a be ((-1)\/(10\/12))\/(100\/w). What is the second biggest value in -4\/13, 6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -5 + 6*((-2 + sqrt(1100))*-6 + 1*sqrt(1100)*-1) + -4)**2.\nAnswer: -48720*sqrt(11) + 1943764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 15*l**3 - 125*l**2 + 955*l - 2010. Let o(x) = -17*x**3 + 124*x**2 - 961*x + 2012. Let y(k) = -6*c(k) - 5*o(k). Factor y(a).\nAnswer: -5*(a - 16)*(a - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 4*w - 98 = 0, -2*w - w + 11 = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21195478?\nAnswer: 2, 10597739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 36.243 rounded to 1 decimal place?\nAnswer: 36.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5887, -4, -8, 4, -1, -5 in decreasing order.\nAnswer: 5887, 4, -1, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13, -22, -21, -4, 35?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 33472 and 37656.\nAnswer: 301248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16\/65 + -2\/13. Which is the third smallest value? (a) -1\/11 (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 plus 6.5880727055385?\nAnswer: 6.6880727055385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102*k**3 + 99*k**3 + 13*k**2 - 33*k**2 + 20*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(1377) - (sqrt(1377) + -1 + 0))*-2 - (4 + (sqrt(1377) + sqrt(1377)*1)*-6)))**2 + 3.\nAnswer: -1296*sqrt(17) + 198327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13 + 142412?\nAnswer: 142355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2 + z + 1. Let c(h) = -h**2 - 13*h - 34. Let y be c(-9). Let b(a) = -6*a**2 + 5*a + 6. Determine y*b(p) - 11*t(p).\nAnswer: -p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/9)\/((32\/(-792))\/2). Suppose s*g - 77*g = -6996. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16443 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 86 = 221. Suppose 6 = -2*q + 6*x, -9*q + 6*q + 9 = -3*x. Calculate the lowest common multiple of q and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -18*u**2 - 2*u - 154. Let c(z) = 36*z**2 + 4*z + 307. Let g = -70 + 75. Let i(a) = g*j(a) + 3*c(a). Differentiate i(h) with respect to h.\nAnswer: 36*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*k**3 + 0*k**3 - 6*k**3 - 5*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 406*z**2. Let h(i) = 2*i**2 - 143. Calculate h(d(u)).\nAnswer: 329672*u**4 - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 113 - 125.7. Let l = 13 + u. What is the third smallest value in l, -2\/9, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -95 + 59. What is the tens digit of 8\/l + 5865\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 323 divide 50065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 16, -3, 1384, 0.\nAnswer: -3, 0, 3, 16, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and ((-4)\/12 - -1)*21?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -362 + 369 + (1 - 0) + -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-9))\/4 + 1 + 149. Let g = q + -150. What is the second biggest value in -2\/15, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 27*j + 22*j + 1884, 0 = 3*j. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**3 + 5*z**2 + 5*z - 2. Let a be -1 - 0 - (-12)\/(-4). Let x be m(a). List the prime factors of 8\/x*(-1674)\/36.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(7*(-17)\/34). What is the fourth biggest value in 4, -0.1, 0.5, 15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h**3 - 2 - 277 - 167.\nAnswer: -h**3 - 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -4. Do k and 4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-196)\/12)\/(-7)*-1?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*p**2 - 80*p**2 - 57*p**2 + 18*p**2 - 111*p**2.\nAnswer: -209*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -103*h - 74. Let r(a) = -36*a - 25. What is 4*k(m) - 11*r(m)?\nAnswer: -16*m - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -3751.\nAnswer: 3\/3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + (-8 + -10 - -24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, 105, 516, 1309, 2610?\nAnswer: 4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -31*q + 1326. Let t be m(43). Put -5, t, -16 in descending order.\nAnswer: -5, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*b + 37 = 14*b. Suppose -4*m + 3*a + 20 = 0, 2*m + 5*a = -m - 14. What is the remainder when m is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 570 and -1.\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -918976450, -918976449, -918976448, -918976447?\nAnswer: -918976446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/7 - 520*q\/7 + 67600\/7.\nAnswer: (q - 260)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-18)\/15)\/((-8)\/60). Sort -2, 1, f in decreasing order.\nAnswer: f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 3*n = -15939, 5*r - 15516 - 24293 = 2*n. What is the greatest common factor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 8366, 8363, 8362, 8363, 8366, 8371?\n\"Answer: s**2 - 6*s + 8371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - 9*l + 8. Let q be v(-10). Let d(c) be the third derivative of c**5\/20 + c**4\/24 - 2*c**2. Determine d(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of 0*i**3 - 3*i**2 - 1\/30*i**5 + 0*i + 0*i**4 + 0. Let u(f) = -254*f + 251*f - 59 + 59. What is q(u(k))?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10803*s**2 + 3 - 3 + 264*s - 10807*s**2 - 264*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 0, 10, 132, -5, 4 in decreasing order.\nAnswer: 132, 10, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2132, -3949, -5768, -7589, -9412?\n\"Answer: -g**2 - 1814*g - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4648 is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5 - -1)\/(-4) - 2. Let t(u) = -40*u**3 - 2*u**2 - 2*u - 1. Let i be t(g). Let c(p) = -6 + 38*p - i*p - 1. Give c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61 is divided by -84*(1*(-3)\/(-48))\/((-1)\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-39)\/2*(-12)\/18. Let p = -10 + v. Solve 0 = o - p*f + 3 + 1, -5*f = -5*o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1416, 2838, 4272, 5724, 7200?\n\"Answer: l**3 + 1415*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10846 and 22337656?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -107 - -191. What is the remainder when j is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 + -6. Suppose -6 = -4*g + 2*m, -2*m - 4 - 3 = -c*g. Put -1, 2, g in decreasing order.\nAnswer: 2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 56 = -2*x, -2*g - x = -4*g + 121. What is the lowest common multiple of 8 and g?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*n - 314 = p - 161 + 98, 4*p = -12 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*y - 2*y = 72. Let u = 29 - 24.6. Let h = -4 + u. Which is the closest to 1? (a) y (b) 2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, b: 7, f: 4}. Give prob of sequence ffb.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 2.39523226 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -27 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/16 + (-32422)\/464 + 44?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 2*u + 2*t + 28, 3*t + 32 = u. Let i be u\/(-6)*(-36)\/15. Let q be (6\/i)\/((-1)\/4). Sort -1, q, 2 in decreasing order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/189 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16791*f**2 + 5595*f**2 + 0*f**3 + 2*f**3 + 5599*f**2 + 5597*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/((v**(1\/6)\/v*v)\/v))\/v)**(-4\/19) assuming v is positive.\nAnswer: v**(-10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -901825.1908 to the nearest 10000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 103*y**2 + 400*y - 36. What is i(-5)?\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 43238983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 12) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -5, -1, 1 in ascending order.\nAnswer: -5, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + (44 - 11) + -19 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54428\/88 + 2\/(4\/(-7)) is divided by 156.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -365 - -378. What is the remainder when 20 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 38 + 62 = 0. Suppose 3*n + 21 + 19 = 2*a, -60 = -3*a + 2*n. What is the highest common factor of a and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-242165)\/(-17094))\/(10\/24).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11902 is divided by 97.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 630 + 198 = 0. Let i be (-8)\/6 + x\/(-18). Solve 2*m + 4*b = i, 5*b - 7 = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2)\/f)\/f*(f*f**(2\/25))\/f)**(-1\/5) assuming f is positive.\nAnswer: f**(98\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1907695369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 719598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.7 * 15.933\nAnswer: -11.1531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, b: 3, r: 2, i: 6, m: 4, n: 1}. Give prob of sequence ni.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 6*b - 7 = -6, 4*b = 2*q - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 11:32 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -3, 16, 4 in ascending order.\nAnswer: -3, 4, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 350*h + 366*h + 1149*h + 101*h.\nAnswer: 1966*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 76899497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.27, 3494, 7?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10549 - -10549.04. Which is the closest to 0? (a) 1\/12 (b) p (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 586111646 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -1 - 11*p + 3*p**2 + 3*p**2 - 5*p**2 + 2. What are the prime factors of a(14)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 + o**2 - 10*o - 10. Give g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*n - 5*n + 2*n)*(3 - 1 - 3) + 2 - 2 + n)*((n + n + 0*n)*(-3 + 1 + 0) - 2*n + 2*n + n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**2 + 16*a - 7. Let q be c(6). Let f = -31 + q. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13798\/3255 + -111\/310. What is the common denominator of -17\/9 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1066 + -1078 + (-2 - (0 - 7)) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1899 equal to 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-5346)\/243 + (28 + -27)*(-7)\/((-1)\/(-1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 12.21 + -0.21. Let k = -12 + b. Let g = 4.2 - 4. What is the closest to k in g, -0.4, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from qrzzqqqrjqyq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 140856 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a - 2*a**5 + 2*a**5 + a**5 + (0*a - 5*a + 3*a)*(0*a**4 - 2*a**4 - 12*a**4) - 2*a**5 + a**5 + 2*a**5.\nAnswer: 30*a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/1 + 2 - 0. Let y(v) be the first derivative of -v**3\/3 + 3*v**2 + 2*v - 11. Let i be y(g). What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (0 + 2*sqrt(192))**2 + 4 + ((sqrt(192) - (0 + sqrt(192)))**2 - sqrt(192)) + 5.\nAnswer: -8*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 33*k + 27 + 0*k**3 + k**2 + k**3 - 22*k**2 - 56*k. Let v be i(22). Suppose 0*z - 225 = -v*z. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 174*c**2 - 2079*c - 17. Determine d(12).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 51*j + 22*j - 3*j**2 - 7*j**4 - 3*j**3 - 81*j to the form a + c*j**2 + h*j**3 + g*j + k*j**4 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 2*z - 8, -5*z + 3*x + 35 = 8*x. Suppose -1194 = -z*i + 2*j, -3*i + 3*j = -0*j - 720. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -370\/9 bigger than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 7 = 4*p + 9, -3*p - 8 = 4*c. Suppose p = 4*s - 4*x + 4, -2*s - 8*x + 13*x - 14 = 0. Let i(j) = j**2 - 3*j - 4. Determine i(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -66, -104, -142, -180, -218, -256?\n\"Answer: -38*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 19 - 119*c - 5 + 115*c. Let k be d(6). Let j(s) = s**3 + 11*s**2 + 12*s + 12. Determine j(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(441\/(-17052)*-2*1)*(-2)\/(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 + 5*o**2 + 2. Let l(p) be the second derivative of p**5\/4 - 13*p**4\/6 - 11*p**2\/2 - 709*p - 2. Let c = -6 - -10. What is c*l(w) + 22*y(w)?\nAnswer: -2*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 6485 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7829*j**5 + 28097*j?\nAnswer: 156580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((8\/22)\/((-22)\/(-121)))\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 93907 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*t**4 - 30*t**4 - 40*t**4)*(0 + 0 + 3*t).\nAnswer: -240*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6756, -13501, -20260, -27039, -33844, -40681, -47556?\nAnswer: -54475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.02302 and -6.\nAnswer: -0.13812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 4*j + 90, 4*j - m + 111 - 25 = 0. Let v = 3 + -25. Do j and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 57 - 61. Let g(p) = -p**3 - 5*p**2 - 2*p + 3. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 + 56 = q. List the prime factors of q.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 times -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(343) + -3 + sqrt(63) + 1 + 4.\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -5*n + 9, -2 = -3*n - 2*f + 5. Let o be 3*1\/(1\/n). Is 1 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 10, e: 4}. Give prob of sequence mem.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 35255, 141419, 318369, 566105?\nAnswer: 884627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -168 - -644. Calculate the remainder when h is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26 + 27. Let s(w) = 4*w**2 - 1. What is s(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8348 and 226134.\nAnswer: 943883316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -140298 by 23383.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 11466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 12:56 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-132)\/10 + 918\/765 + 16. Let g(q) be the second derivative of -1\/18*q**b + 0 + 2\/9*q**3 + 4*q - 1\/3*q**2. Factor g(d).\nAnswer: -2*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 + 0. Let t = 290 - 169. Let j be a - 7438*t - 2. Round j to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (2*sqrt(102)*-1 - sqrt(102))\/(-5*-1*sqrt(6)).\nAnswer: -3*sqrt(17)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -70 = -1868*o + 935*o + 940*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nngggnn. Give prob of sequence nn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 350 + -325. Calculate the greatest common divisor of 425 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2372429 divided by 4?\nAnswer: 2372429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 4*c + 20. Let i be y(-6). Find the common denominator of -2 + 23\/(-24) - i and 47\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17381\/5 - 3487. Calculate the common denominator of 23\/62 and t.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*d**2*g + 400489*d**2 + 8812*d*g with respect to g.\nAnswer: -4*d**2 + 8812*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8153.\nAnswer: 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 161450141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v**3 + 14*v**2 + 10*v - 12 = 0. What is v?\nAnswer: -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 4*t**3\/3 - 568*t**2 + 34204*t - 636160\/3 = 0. Calculate t.\nAnswer: 7, 64, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001892523077 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of -i**3\/3 + 2. Let w(k) = 2*k. Give s(w(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -7. Suppose -3*y = 3*f, t*y + 20 = -0*y. Let h = f + -1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a**3\/2 + 45*a**2\/2 + 675*a\/2 + 3375\/2 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 43344 and 177?\nAnswer: 2557296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -1032*k**2 - 86753*k - 5464. Calculate x(-84).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81269633?\nAnswer: 137, 593209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/192 and -113\/72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(((-11)\/1463)\/(1\/(-7)))\/1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -29 divided by 528\nAnswer: -29\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 + 12. Let a = 3 + m. Calculate the lowest common multiple of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t = 20*t. Which is the closest to 13? (a) t (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-24)*v*v\/((v\/(v*v**(2\/45)\/v))\/v) assuming v is positive.\nAnswer: v**(-988\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1004431363 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -114?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:04 PM and 3:20 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -475\/9683?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 254102467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.065 - 0.035. Let d = o - -2.1. What is the nearest to -2\/9 in 0.05, d, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 + -16.2. Let q = 15 + j. Suppose -3*o - o - 2 = 2*f, f + 3*o = 0. Which is the second smallest value? (a) q (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {g: 7, d: 4, h: 2}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -4 + b**3 - 2*b**2 + 7*b + 2*b**2 - 5*b**2. Let y be z(4). Suppose x + y = 5*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4\/5, 0.08, -2\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -165 = 15*u + 18*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -3*k. Let d(x) = 1 + 11*x + x - 1. Give d(f(l)).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -3*p**5 + 11*p**4 + 102*p**3 + 24*p**2 - 64*p = 0.\nAnswer: -4, -1, 0, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (2*((sqrt(1900) + 4 - sqrt(1900)) + sqrt(1900)) + 0 + 3 + sqrt(1900) + sqrt(1900) + 0)**2)*4.\nAnswer: 3520*sqrt(19) + 122096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/10)\/((-4)\/48*-12)*6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 17826 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12330110021001 - -10?\nAnswer: -12330110020331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 - 1506349113.\nAnswer: -1506349112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000007084 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 - 6*m**2 + 2*m - 3. Let v = -10 + 16. Calculate the lowest common multiple of s(v) and -1 + (-2 - 28)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 981352543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*s**2 + 8\/5*s - 2\/5*s**3 + 8\/5.\nAnswer: -2*(s - 2)*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 186\/101 + -12389\/4040. Find the common denominator of o and -67\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/(((c\/((c\/(c*c**1)*c*c)\/c))\/c)\/c)))**(26\/7))**5\/(c\/(c**(3\/7)\/c)*c**(-2\/5)*(c*(c*c**(1\/3))\/c)**(-32)) assuming c is positive.\nAnswer: c**(2407\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-11\/4)\/u)\/(u\/(u\/(u\/(u*u*(u**(4\/3)\/u)\/u*u*u)*u)))*(u**(-2\/29))**(-1\/7) assuming u is positive.\nAnswer: u**(-5863\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 102, -112?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*s + 0*s + s)*(-42 + 116 + 9504*s - 33 - 41) to the form g*s**2 + n*s + j and give g.\nAnswer: -19008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 336*z - 35. Let r(n) = 28*n - 3. What is 3*b(i) - 35*r(i)?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 + 12\/16)\/((-7)\/(-28)). Put 1, z, -1, 66 in decreasing order.\nAnswer: 66, 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6185 = -13*l - 6224. Let d be (-2)\/6*-3*1. Sort d, l, 44 in ascending order.\nAnswer: l, d, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 28 + -26. Suppose -3*b - 3*j + 15 = 0, 0 = -y*b - j + 1 + 7. Solve 0 = -2*d - 5*s - 10, -4*d + b = -2*s - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 12:30 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/5, -0.1, -0.049, 5, 3, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 4*t = 37, -2*t - 20 = -2*x - 0*t. Let v = 15 - x. Let c(w) = -w**2 + 4*w - 1. What is c(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2331182 (base 9) to base 7.\nAnswer: 13500131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -3*b. Let l(m) = -m**2 - 4*m - 1. Determine 3*f(z) - 2*l(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -685.900033165 + 685.9. Round z to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 1, m: 8, x: 4}. Give prob of picking 2 x, 1 m, and 1 a.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 385395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.53104um to centimeters.\nAnswer: 0.000053104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**17\/((y\/((y\/y**(5\/8)*y)\/y*y))\/y*y)*((y*y**(-13)*y*y)\/y)\/y*y**(-35))**1 assuming y is positive.\nAnswer: y**(-237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-7)*(-3 + 1) + 903\/2646?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21648 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 - 7*y**2 + 12*y + 2. Calculate the remainder when 16 is divided by t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrdziz. What is prob of picking 1 d and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from bbowbobobowboowwo.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -35\/24 and -47\/212.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 2. Suppose 5 = -2*j + 2*y + q, 0 = 3*j - 4*y + 10. Suppose r - 18 = -j*r. Solve w = -2*w - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 a, and 2 p when four letters picked without replacement from aspcps?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**2 - i + 1. Let x(l) = -11*l**2 - 4*l + 4. Determine -6*w(j) + x(j).\nAnswer: -5*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 912857, 912858, 912859?\n\"Answer: q + 912856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - 0. Let q be ((-2)\/k)\/(14\/(-63)). Suppose 3*l = 3*s - 3, -s - s = -q*l - 2. Is s <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1925405947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - (10 + -8 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:38 AM and 7:32 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -438003 - -769364. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 89 + -49. Suppose 0 = -3*g - z - 40 + 107, 3*g = 5*z + 97. Does 22 divide (x\/g)\/(1\/66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*-527.\nAnswer: 158.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -112*f + 27. Is 41 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 9, -3\/7, -238, -1\/6, -3757?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z**5 + 3*z**5 + z**5 + (3*z**3 + 2*z**3 - z**3)*(0 + 2*z + 0)*(z + z - z).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 299 - 342. Suppose -2*f = -4*p - 56, -2*f + 19 = 4*p - 61. Let n = f + o. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 2 - 4 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2432) + sqrt(2432)*-1)*4 + 1*sqrt(2432)*6)\/(sqrt(12)\/sqrt(6)*3 + sqrt(2) + (-2*-2*sqrt(2) - sqrt(2))))**2.\nAnswer: 43776\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6131465*h**3 - 5299643*h?\nAnswer: -36788790*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.7 - -7.3. Which is smaller: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 994, 743, 480, 199, -106, -441, -812?\n\"Answer: -i**3 - 244*i + 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 31004 and 6066.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/(-55) + 31\/11. Solve b - 5*d = -29, 3*d - 31 = -m*b + 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 404 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -3 + 3*sqrt(98)*6.\nAnswer: 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21928 + -21930.7054. Let n = 122 - 124.7. Let u = n - g. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 482478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 829 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = -33*d + 323 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*s**5 - 4*s**5 - 3*s**5 + (s - s - 2*s**3)*(5*s**2 + 0*s**2 - 3*s**2) - 9*s**3 + 3*s**5 + 9*s**3 - 53*s**5 - 239*s**5 + 13*s**5.\nAnswer: -281*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -h + 3*a = -6, -4*h + 12 + 2 = -2*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (0 - (-7 - -15)) + 10 + (-2 - 12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 12*m**3 - 15*m - 3. Let o(g) = g. Suppose -174*h - 6*h + 2170 = -530. Give h*o(a) + n(a).\nAnswer: 12*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4160 and 1?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**4 - 62*b**3 - 3916*b**2 - 44928*b - 101376.\nAnswer: 2*(b - 66)*(b + 3)*(b + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 + -7 + -4 - -5) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**3 + 3*z**2 + 6*z + 3. Let f be l(3). Solve -3*r - 2*r - q + f = 0, 4*q = -4*r + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10579, 20683, 30787?\nAnswer: 40891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -20*c + 5*c + 5513 - 5479. Let b be n(2). Solve -b*z = -5*z + 5*w - 14, -4*z + 4*w = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 + 14)*(2*f - f - 10*f).\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c - 18 + 40 - 26)*(2 + 3 - 4)*(-89*c + 84*c - 80*c).\nAnswer: -170*c**2 + 340*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1630, 3273, 4946, 6661, 8430?\n\"Answer: 2*a**3 + 3*a**2 + 1620*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -4, 5374, 0.4, -19 in decreasing order.\nAnswer: 5374, 7, 0.4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-9))\/(-2) + 157584\/(-12663).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*z**4 - 80587*z**3 + z**2 + 187*z + 1211 wrt z.\nAnswer: -96*z - 483522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 PM and 10:57 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*1*sqrt(3)*1)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -5. Suppose a = -5*o - 5, i*a - 3*o - 11 = 46. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-42))\/((-33)\/(12705\/110)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -9*l**2 + 18 - 8*l + 12*l**2 + 11*l**2 - 6*l + l**3. Let c be s(-15). Suppose -28 = -c*h + 2*h. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2104199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2)*(-3 - 3 + 2)*(24*y + 22*y - 17*y) to c*y + t and give c.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 104959.5 years to millennia.\nAnswer: 104.9595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8684377 - 1261.\nAnswer: -8685638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 4*o + 2 = -0*o, 3*m - 24 = 3*o. Suppose w + 3*v = -0 + m, -5*w = 4*v - 25. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2079326461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -510 - 0?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 6.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + ((sqrt(171) + 0 + sqrt(171))*5 - (5 + -1*sqrt(171))))*3)**2.\nAnswer: -2376*sqrt(19) + 186363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -17a3a (base 11) in base 9?\nAnswer: -37522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 3 + 1)*(-3 - 121*y + 117*y - 3) to z + k*y and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(3\/20))**(-25)\/(c*c\/(c*c\/c**(-2\/101)*c)*c)**(-5\/12))**48 assuming c is positive.\nAnswer: c**(-18220\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)\/(sqrt(4) - (sqrt(4) + -2*sqrt(4))) + sqrt(57)\/(2*sqrt(3)) + 5 - (-5 + (sqrt(38)\/(sqrt(18) - sqrt(2)) - (2*sqrt(19) + -1))).\nAnswer: 9 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 383 + -231. Suppose -4*z + c = 4*l, -z + 2*l + 29 = -6. Let w(v) = -4*v + 1. Calculate the remainder when z is divided by w(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -337 divided by 22721?\nAnswer: -337\/22721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n**5 - 104*n**4 - 4614*n**3 - 25460*n**2 + 30176*n = 0 for n.\nAnswer: -23, -8, 0, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 193124431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 257517?\nAnswer: 3, 13, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -359.4876 rounded to 1 decimal place?\nAnswer: -359.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2211, 8751, 19733, 35223, 55287?\nAnswer: 79991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 47 = -8. Suppose 5*r - 82 = -m + u, -2*m - 4 = 0. Find the second derivative of -10*p + r - 30 - 20*p**2 + 11 wrt p.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from hhpypwhwh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*h - 483 - 630. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(425)*-2 + -3*(sqrt(85)\/sqrt(5) + sqrt(17)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 593036, 593032, 593028, 593024?\n\"Answer: -4*f + 593040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 24 = 0, 4*m - 4*p - 5344 = 2*m. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15 and 315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 413546.1us?\nAnswer: 413546100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t - 15 = 3*t - 5*w, -2*t + w + 10 = 0. Suppose 2*f + 0*k + 3*k - 11 = 0, 0 = -t*f + 3*k + 38. Calculate the remainder when 33 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 877530597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - 4 - (91 + -80)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 2*d - z = -30, 333*d - 3*z = 353*d - 566 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6490*o*v**2 - 3*o*v - 21935*o + 4*v**2 - 11*v + 430 with respect to v.\nAnswer: -12980*o*v - 3*o + 8*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 7. Let u = i - 6. Suppose 0 = u*f - 24 - 12. Calculate the highest common divisor of 108 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c + 3. Let t(q) = 12*q - 5. Let s(i) = -18*i + 2. Let v(o) = 35*o - 5. Let w(x) = 7*s(x) + 4*v(x). Let r(n) = -6*t(n) + 5*w(n). Give r(f(a)).\nAnswer: -6*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10944 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjiijj. Give prob of sequence ji.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*m + 1155 = 128*m - 1177 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -2*k + 1. Let t be n(3). Is (-84)\/(-15) - 2\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3100.439 tonnes?\nAnswer: 3100439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 168.3 or -42?\nAnswer: 168.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 351 + -340. Suppose g*r = -4*x + 9*r + 1666, 5*x - 2055 = 3*r. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*f - 2*f - 55. Let l = 23 - f. Suppose k - 5*k = -l. Solve -k*r + 0*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 233124118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1517 = -7*b - 954. Let j = b - -524. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -12*f. Let t(b) = -b**2 - b. Let a(j) = 12*t(j) - v(j). Give a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + 4*c**2 - 2*c - 3. Let n be r(-3). Which is bigger: 10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-260)\/(-10)*16\/(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 9 = 9*y, 230*y - 5 = 2*z + 235*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/(-3))\/(2*2). Let l = -6 + 4. Let z = -33.09 + 32.09. Sort l, z, i in ascending order.\nAnswer: l, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3 and 20125?\nAnswer: 20128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - 2*-1)\/(-22*(-15)\/197835). What is the highest common divisor of x and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 702c (base 15) to base 11.\nAnswer: 16866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1506558 and 28950?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -16. Suppose u*x + 35 = 6*x. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -337451732 by 84362933.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33\/6*12\/216*-9?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*x**5 - 35276*x**4\/7 - 298008*x**3\/7 - 455632*x**2\/7 - 6144*x\/7 = 0 for x.\nAnswer: -6, -2, -2\/147, 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 8) + 1 + -2 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12160*o*s**2 + 214*o*s - 320100*s**2 - 8*s - 2 wrt o.\nAnswer: 12160*s**2 + 214*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - u + 1 = -5*s, -u = 3. Let h(a) = -5*a**2 - 9*a - 3. Let r(o) = o**2 - 1. Let x(z) = s*h(z) + 6*r(z). Let j be x(10). Solve -2 = q + j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1517)\/451 - (2\/24 + 2928\/(-576)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of -w**2 - 3*w + 1. Let c(n) = -1. Let a be 27 + 434\/155*(-15)\/2. Determine a*c(j) - 2*r(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000001131 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-135)\/66*848\/(-10). Let m = -174667\/1012 + u. What is the common denominator of 57\/14 and m?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 366 = 15*y + 6. Let s be 1\/4 - 204\/(-16). Calculate the remainder when y is divided by (0 - -1)\/(1\/s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h - 2*h + 0*h)*(-4*h**2 + 6*h**2 - h**2) + (3*h**2 + h**2 - 3*h**2)*(1 + 2*h - 1) - h + h - 3*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 71260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 798*o - 11906. Calculate r(15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Factor 2*j**2\/9 - 136*j\/9 - 46\/3.\nAnswer: 2*(j - 69)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*d**3*i**3 + d**3*i + 109*d**2*i**3 - 9*d**2*i + 235*i wrt i?\nAnswer: 54*d**3*i + 654*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8\/7 in 0.5, -2\/141, 2, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31808459 is divided by 519.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143441 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 3:13 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - b2b0?\nAnswer: -b2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9156972 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13118, -13115, -13108, -13097?\nAnswer: -13082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.6 - 3.4. Let x = -0.1 + 0.4. Sort x, 1\/3, i.\nAnswer: i, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 77\/14 + ((-10)\/(-5) - 8). Is l not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12254708 - 24407708. Round r to the nearest one hundred thousand.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 97768*w - 100246.\nAnswer: 97768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6 - 230\/(-40)) + -2)*-4. Let g(k) = 31*k - 279. Determine g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 72\/19? (a) -1\/4 (b) 1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 24255044 (base 6) to base 4.\nAnswer: 2323321210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of p**4\/96 - p**3\/4 + 11*p**2\/16 + 50*p - 3. Solve c(v) = 0 for v.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uiuiiiiuuiiiii. Give prob of picking 2 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -626, -2569, -5808, -10343, -16174, -23301?\n\"Answer: -648*w**2 + w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*k**3\/2 + 21*k**2 - 147*k\/2 + 54.\nAnswer: -3*(k - 9)*(k - 4)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7140902 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2*d**2 - 1 - d**2)*(-2 - 1 - 1 - 2 + 0 + 3 + (6 - 4 - 6)*(-2 + 0 + 4)) to the form c*d + g*d**2 + y and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*-1)\/((-3)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmtmtmttttttmt. What is prob of sequence tmt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 140448.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.198 + 12.198. What is the nearest to 2 in -2, g, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 15 - 16 + 4 + 4*i.\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 62\/9 and 41\/32200302?\nAnswer: 96600906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -373\/200 - -23\/200. Put c, -0.4, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 26095 by 1.\nAnswer: 26095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -5 (b) 2 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 13*w - 1. Give f(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 162*a - 1. Let i be 1\/(2 + -1 + 0). Is h(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5*1 + 2)\/(-1). Let d = y - 1. Suppose 2*b + 3*b - 20 = -4*h, 0 = d*h. What is the smallest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 13626057, 13626041, 13626025, 13626009, 13625993, 13625977?\n\"Answer: -16*u + 13626073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 7*p**3 + 311*p**2 + 130*p - 91. Calculate o(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/30)\/(-1)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 409570, 817788, 1226010, 1634236?\n\"Answer: 2*j**2 + 408212*j + 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/21, -1\/2, 1.2, -1, -237\/8 in ascending order.\nAnswer: -237\/8, -1, -1\/2, 4\/21, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -299 + 126*d - 392*d + 134*d + 299 + 131*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 2527.5105ns?\nAnswer: 0.00000000002925359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 + 13*s**2 + 18*s - 1. Let k be w(-5). Suppose 3*h + 0*h + 174 = 0. Let j = k + h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 662112 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((64\/(-1032))\/(-8))\/((-1)\/6).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 49*o**2 + 11*o - 2. What is the remainder when 229 is divided by j(1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the third derivative of 17\/42*w**7 + 1\/4*w**5 - 5\/8*w**6 + 5\/24*w**4 + 0 + 0*w + 0*w**3 - 46*w**2 - 5\/56*w**8. Solve h(c) = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5045*p**2 + 1867*p**2 + 6685*p**2.\nAnswer: 3507*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of -7*k**4 + 1240*k**3\/3 - 6728*k**2 + 3744*k - 4944. Factor m(g).\nAnswer: -4*(g - 26)*(g - 18)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 63947911?\nAnswer: 63947911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -722 greater than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 996.5 + -998.5. What is the nearest to -25 in 0.1, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -4 - (3 + -1 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2511995 (base 12) to base 13.\nAnswer: 1666532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*z - 7. Suppose k = -k + 2*a + z, -9 = -3*k - 3*a. Let y(x) = 2*x**2 + x + 2. Let w(p) = 2*p**2 + p + 1. Let c(d) = -3*w(d) + 2*y(d). Give c(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + 12 - (202 - 179)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h. Let k(q) be the third derivative of -q**4\/12 - 2*q**2. Give -5*b(a) - 2*k(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 3*a + 27 = 5*g, -5*g - 5 = -5*a. Let s = -9 + 13. Factor -3*q**g + q**s + 0*q**4.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1154 (base 6) to base 13\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.4 - -5.4. Let w = 32 - 158\/5. Let p = 7 - 4. What is the closest to w in o, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -3\/4 (c) 0 (d) -443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = h - 4*h - 71, 3*q + h - 37 = 0. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 345547 is divided by 433?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, 1.1, -4, -10 in ascending order.\nAnswer: -10, -4, 1\/4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*l**3*m**2 - l**3*m - 90*l**3 - 2*l**2*m**2 + 7*l*m**4 - 5*m wrt m?\nAnswer: -18*l**3 - 4*l**2 + 84*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 18788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + 2079 + 1325. Suppose n = 4*x + 5*g, -3*g = -5*x - 2*g + 1071. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 94*j + 1504. Let o be w(-16). Put o, -3\/5, -0.088 in decreasing order.\nAnswer: o, -0.088, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2. Let w(a) = -a**2 - 29*a. Give w(g(j)).\nAnswer: -j**4 + 29*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50)\/(sqrt(30)\/sqrt(3)))**2 + (sqrt(500)*-1)**2 - (sqrt(25) + sqrt(25)*-2*3)\/(sqrt(5) + 1*sqrt(405)).\nAnswer: sqrt(5)\/2 + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3 + sqrt(1900) - sqrt(1900))*2 + -3*sqrt(1216) + -5)*-5)**2.\nAnswer: 13200*sqrt(19) + 276625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1114106790 rounded to the nearest 100000?\nAnswer: -1114100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -18.52 times -11\nAnswer: 203.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1011860507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes before 6:10 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 72 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -2470150 to the nearest 10000.\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -53.1 take away 0.2?\nAnswer: -53.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -6*h. Is h > 7\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 904.32 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4, 3.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -30682.8 + -0.01?\nAnswer: -30682.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a**3 - 215*a**2 + 168*a - 6547. Give y(107).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 27\/(-2) - (-2)\/(-4). Let j(p) = p**2 + 18*p - 23. Let y be j(-19). Let v be 4\/7*r\/y. Solve 15 = 5*g + v*d, -5*g + 3*d = -d - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.018, 4, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -14*t - 451. Give f(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-40)\/50 - (-228)\/210. Determine f, given that 5\/7*f - 11\/7*f**4 + 13\/7*f**2 - 1\/7*f**3 - 4\/7*f**5 - j = 0.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of d**7\/420 - d**4\/8 - d**3\/6 + d. Let v(s) be the second derivative of n(s). Find the first derivative of v(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nununnguug. What is prob of sequence nug?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4352*z - 109253 - 248812 = -553*z for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 13) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -15718736 divided by -1072?\nAnswer: 14663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the third derivative of -v**6\/120 + 3*v**5\/20 - v**4\/4 - 11*v**3\/6 - v**2. Let l be w(8). What is the highest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2693483369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 601170.3 millennia to months.\nAnswer: 7214043600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -208 = 5*z - 808. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t**4 + 5*t**4 + 0*t**4 + (13*t - 13*t + 38*t**2)*(-20*t**2 + 49*t**2 - 16*t**2) - 3*t**4 + 5*t**4 - 4*t**4)*(3 - 2 + 1).\nAnswer: 1000*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1751941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 358 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22 and 510?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (14\/10 - 1)\/((-14)\/(-70)). Let i(w) = -4*w**2 + 11*w - 3. Let l be i(v). Solve -5*h - 2 = l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 600029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 12195947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 6:28 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 31 + -20 - ((1 - -15) + 19 + -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 0)*(-2*f + f + 0*f)*(-9 + 18 + 1).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138*(2 + 16\/(-12)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 695*c - 692*c - 12 = 0. Solve -4*y = c*n - 26 + 6, -n = 2*y - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*c + c + c - 21 + 10*c + 21 + (3 - 2 + 0)*(3*c + c - 3*c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2 less than 10749042826?\nAnswer: 10749042824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of 0*w**4 + 47 + 0*w**2 + 103*w + 1\/3*w**3 - 3*w**5. What is the derivative of h(t) wrt t?\nAnswer: -60*t**3 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 2352 = -4*i, 2*i + 3*f - 1321 + 131 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -5329.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -97 + 164. What is the remainder when q is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -100 = f + 3*h, -f - 484 = 4*f - h. Let u = 99 + f. Calculate the least common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 4) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/2)*x*x\/((x*x**5)\/x*x)*x**(-5)\/x**(-5))\/((x*x*x*x\/(x\/(x*x**6*x)*x))\/x*x**2*((x\/x**(-2\/5))\/x)**(-4)) assuming x is positive.\nAnswer: x**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 163 - 228. Let g = -64.9926 - k. Round g to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 145700132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 46020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5008\/319 + -450\/29. Which is the closest to -0.02? (a) 2\/9 (b) -0.4 (c) u (d) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6caad - 7?\nAnswer: 6caa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -58548 = -2804*p - 10880 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 257*a**3 + 14*a - 3 wrt a.\nAnswer: 1542*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*i + 0*i + 3*i)*(0*i - i**2 + 0*i + 2 - 2 + 2*i**2 + (i**2 - 2*i**2 - i**2)*(1 - 2 + 0)).\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3423 is divided by 1101.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 222372778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*p - 13*p + 4. Let s be (-1 - -5) + (p - -1). Put s, 1, -10, 5 in decreasing order.\nAnswer: 5, s, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = 4*r - 2*j, -65 = -2*r - j - 66 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12\/(-84) - (-2)\/14. What is the smallest value in 1\/6, -0.1, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -216130*t**2*w**3 - 57*t**2*w**2 - 6*t**2*w - 3*t*w**3 + 6*w**2 - 72*w wrt w?\nAnswer: -1296780*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3294, -4 in decreasing order.\nAnswer: 3294, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -20696 + 21067. Calculate the remainder when r is divided by 71.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(550) + (sqrt(550) - (sqrt(550)*-1 - sqrt(550)))))\/(sqrt(22)\/sqrt(2)*3 - (sqrt(11) + 6*(sqrt(11) - sqrt(44)))))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 14120\/9 and 1568 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7344365?\nAnswer: 5, 7, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 317587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134*t + 136*t = -4*n - 282, -3*n + 5*t = 244. Let m = n - -85. Solve 0 = 4*g - m + 32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence itrw when four letters picked without replacement from wpwwrtwwttpipwrwpww?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -42250141 (base 6) in base 8?\nAnswer: -4554315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1069 - -1070. What is the highest common factor of 233 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 301 - 278. Suppose 0*h = i*h - 19389. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bhh when three letters picked without replacement from hbhhbbhhhhhhhbbhhb.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**2)\/z)\/(z*z**(-2\/13)))\/((z\/(((z**(2\/9)\/z)\/z)\/z))\/z*z**(-1)) assuming z is positive.\nAnswer: z**(-541\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4455 and 3168.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 337*g**2 + 12*g + 188. Let v(s) = 1012*s**2 + 42*s + 562. Let j(k) = 14*l(k) - 4*v(k). What is the derivative of j(d) wrt d?\nAnswer: 1340*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qsqqssooqqoqssolqs. Give prob of sequence qoo.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 518 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 - 1) + (-8 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -359 = -5*r + 2*z, -4*z = 8 - 0. Let o = 43 - r. Let u be 6\/((-96)\/o) + -2. Which is the closest to 1? (a) u (b) 3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 0.22278.\nAnswer: -0.89112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -135.9 * -3.2.\nAnswer: 434.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*u + 4*u + 4*u)*(-2 + 0 + 6)*(-1 + 4 - 2)*(0*u - 2*u - u) to h*u + g*u**2 + k and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-83 + 26 - (-14 + -2)) + 13 + -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 d when three letters picked without replacement from agaidga.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 25248260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w - 4 + 4 + (3*w - 6*w + 2*w)*(19 - 11 + 51).\nAnswer: -62*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -3*h**2\/5 - 727311*h\/5 + 1454634\/5 = 0.\nAnswer: -242439, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (332\/(-5))\/(2\/(-5)). Suppose n = -n + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4641, -9275, -13909, -18543, -23177?\nAnswer: -27811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((12\/(-3))\/4)\/((11\/(1540\/(-126)))\/(-9))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (4 - 6) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 396 - 160. Let i(l) = l**3 + 115*l**2 + l + 117*l**2 - v*l**2. Give i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z + 5*z - 5*z)*(22 - 73 - 70) in the form n*z + s and give n.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -21*a*p**2 - 2661*a*p - 2*a - 45*p**2 + p - 616354282 wrt p.\nAnswer: -42*a*p - 2661*a - 90*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(68) - (5 + (sqrt(68))**2).\nAnswer: -69 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of n**3*r + 36*n**3 - 119514*n**2*r + 21524*n + 4736*r wrt n?\nAnswer: 6*n*r + 216*n - 239028*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 4 - 5)*(-10 + 3 - 6)*(4 - 4 + 2*z)*(2 + 1 - 7) to the form l*z + w and give l.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25 + 121. Suppose 0 = 7*a - 3*a - d. Solve -4*v + 4 - a = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 7*t**3 + t**2 - 2*t. Calculate the remainder when 23 is divided by h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -8*k + 8. Let n(p) = -7*p + 7. Give 2*d(z) - 3*n(z).\nAnswer: 5*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 727579, 1455157, 2182735, 2910313, 3637891?\nAnswer: 4365469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 4 + 6 - ((10 - 19 - -23) + -79)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2071190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -6. Let a(p) be the second derivative of 31\/48*p**4 + 1\/2*p**i + 2*p + 5\/6*p**3 + 0 + 3\/16*p**5. What is x in a(x) = 0?\nAnswer: -1, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.1201005715 + -0.1201. Round g to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(343) + -4 + -4*(sqrt(7) + (sqrt(7) - sqrt(252))))**2.\nAnswer: -322*sqrt(7) + 3752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 847938 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 444 + -1392. Let b be y\/(-28) + 5\/35. Find the third derivative of -6*l + 10*l + 12*l**2 - b*l**3 - 4*l wrt l.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -28971338*i**4 - 2018283*i**2.\nAnswer: -695312112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the second derivative of 0 + b - 2\/15*b**3 + 1\/150*b**5 - 1\/2*b**2 + 1\/60*b**4. Let g(t) be the first derivative of x(t). Factor g(s).\nAnswer: 2*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 13 = 2*i - 0*m, 0 = 5*i + 4*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 5*y**3 - y**2 + y. Let z be j(1). Suppose 0*r = -4*l - r + 27, z*l - 5*r - 15 = 0. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89980965?\nAnswer: 3, 5, 241, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*k - 5*k = -13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.2087 + -1.225\nAnswer: -1.0163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the second derivative of -s**7\/6 - 8*s**3\/3 - 7*s. What is the second derivative of d(h) wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 40*u**4 + 2335*u**3 - 61644*u**2?\nAnswer: 960*u + 14010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 + -30. Is (-1368095)\/(-114) + (-1)\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4104550 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -5*d + 3*r + 6, 5*d = -4*r - 27. Let g be (-34)\/9 - (d - 1). Let z be (-1*2)\/4 - -1. Put g, 1\/5, z in decreasing order.\nAnswer: z, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -2*a. Let k be ((-78)\/(-104))\/((-2)\/(-56)). Let t(c) = 22*c**2 + 15*c**2 - 18*c**2 + k*c**2. What is z(t(q))?\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -1. Suppose r = 2*v - v - 7, -4*r = -5*v + 30. Let c be (-36)\/(-72)*v\/(-1)*1. Is q at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 - 15*i - 5. What is the remainder when 56 is divided by l(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -6*s + 2*s. Suppose 0 = g - 5*r - 16 - 6, -3*g = 4*r - s. Let y(f) = f + 1. What are the prime factors of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14788*d = -14792*d + k + 9, 0 = -4*d + 2*k + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k**2 - 13*k - 1. Let d be t(7). Suppose -7*p = -d*p - 105. Is 35 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236 - -2 - (6 + -2 + -5) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25187, -25170, -25147, -25118?\nAnswer: -25083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3 - -1) + (-51)\/162*-6. Let t be 1\/(-4) + (-626)\/(-8). Let j = 388\/5 - t. What is the nearest to s in -1, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -37580 divided by -9395\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-3\/5)\/b*b\/((b\/((b*b\/(b\/b**(-27\/2)))\/b))\/b)*b*b**(-1\/2)*b*b*(b*b*b*b**(-3\/2)\/b*b)\/b assuming b is positive.\nAnswer: b**(-111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000043307561 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 16*a**2 - 2*a + 2. Let b be p(1). Suppose -8*x + 4*x - b = 0. Let i be 0\/(-2*(2 + -3)). Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25080 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -22*d**3 + 2*d - 1. Let w be l(1). Let t = -11 - w. Solve 5*s - 4*i = -i - 2, s - 3*i + t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 87*s + 343. Let g be q(-4). Let t(n) = -n**2 - 4*n - 8. Give t(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2055 and 510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/(-54))\/(14\/21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 490 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -28539 (base 14) to base 12.\nAnswer: -4991b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4524 + 4525. What is the third smallest value in 107, 2, p?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 9 = -5. Suppose 0 = -4*x + 11 + 1. Suppose 100 = l - 2*o - 32, 0 = x*o + 9. What is the greatest common factor of w and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**2 + 20*z + 92. Determine r(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.66 - 0.06. Let p = v + -0.5. Sort -0.3, p, -2.\nAnswer: -2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -26 - -136?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**2 + 5*h - 4. Let v be u(-6). Let n(g) = g**3 - 3*g**2 + 2*g. Let r be n(v). Suppose 2*c - c - 35 = r. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 999238 != 999222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 2120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.055+-14078015491\nAnswer: -14078015490.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -6 (c) -2428 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8\/59 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1099 is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes before 1:41 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*t + 4402 = 33*t. Suppose -5*z + 161 = -4*b + 18, -3*b = -z + 22. Calculate the highest common divisor of t and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 6 = -6. Let h(z) = z**2 - 8*z + 12. Let d be h(q). Suppose d*a + 2*a - 88 = 0. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 10*a + 0 + 3*a - 7. Let t be 1 + (2 - 17) - 1. Let y be (-45)\/6*18\/t. Let g(l) = -6*l + 3. Determine y*g(u) + 4*x(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, -42, -39, -36?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 10*y - 68. Let r be l(7). Suppose -4 = 4*m, -2*m + 6 - 8 = r*g. Solve -u = -j - g*u, 5*u = 2*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-1\/5)*d)\/((d*d\/d**(3\/7))\/d))**(-23\/6)\/(d*d\/d**(-1)*((d\/(d*d**(1\/4)\/d))\/d)\/d*d)**(-3\/16) assuming d is positive.\nAnswer: d**(-28183\/6720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -1111952?\nAnswer: -1111948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 4) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58 + 29*x - 15*x - 3*x**2 - 136 + 78 - 14*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 5*p**3 - 8422*p**2 - 81332*p + 33880 = 0. What is p?\nAnswer: -10, 2\/5, 1694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -84.99 - -85. Is b at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = 4*r - 93, 118*r + l + 311 = 136*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five quarters of a microsecond in nanoseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5533048 (base 9) in base 3?\nAnswer: 12121010001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 24c8aa (base 13) to base 16\nAnswer: d7fce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3422 is divided by 911.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1507876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*v - 0. Solve -9*u + 14*u + 15 = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 at most as big as -481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-1))**(-1\/31)\/(n**(2\/3))**7)**(-7) assuming n is positive.\nAnswer: n**(3017\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000070292 rounded to 7 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -421\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*q - 7*q + 8 = -2*p, -5*q = 40 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**8*q)\/q**6)\/(q**(-6))**(-12))**29 assuming q is positive.\nAnswer: q**(-2001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42588, 42589, 42590, 42591, 42592, 42593?\nAnswer: 42594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 202471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2458392 + 1583998. Let u = 757034 + 2587360. Let s = p + u. Round s to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from rxrxxrkx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/(-8))\/(2\/(-24)). Let p(k) = 7*k**2 + 6*k + 3. Let c be p(i). Let d = -129 + c. Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 7. Suppose 12 = 5*g - 3*g. What is the remainder when g is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/3*-12*7\/(-56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(567)*-1 + sqrt(567) + -5)*1 + 2)*-3*-1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8613 + -8473. Calculate the remainder when m is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 747.7845g to nanograms.\nAnswer: 747784500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -493, -497, -503, -511, -521, -533, -547?\n\"Answer: -x**2 - x - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10019 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(5\/15) - -3. Solve 3*m - 2*m - 1 = -p, 3*p + m - 3 = h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.85 - 7438594627.\nAnswer: -7438594627.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.5 - -0.5. Which is the closest to -1\/7? (a) 2 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(1\/7))**(-3\/19) assuming s is positive.\nAnswer: s**(-24\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 65*b**2 + 4*b - 3. Let r be m(2). Calculate the greatest common factor of 106 and r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tzztzzzzczzztzz. Give prob of sequence zz.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is b10358 - -5?\nAnswer: b10361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**3 + 5*w**2 + 3*w - 2. Let i = 2040 + -2034. Give r(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12310271629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -2\/5, 2, 4, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30, -113, -250, -441?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -162 by 4.\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from icqinwwsn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -362013*i*m**2 - 979*i*m + 323202302*m**2 wrt i.\nAnswer: -362013*m**2 - 979*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -7 <= -25\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -23\/120*b**6 + 8\/3*b**3 + 0*b + 0*b**5 + 0*b**4 - 34*b**2 + 0. Differentiate k(v) wrt v.\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(2\/(-24))*(-28)\/252.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-116)*2560\/(-800)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kynn when four letters picked without replacement from {b: 1, y: 2, n: 2, k: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 218549, 436242, 653933, 871622, 1089309, 1306994?\n\"Answer: -s**2 + 217696*s + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*j - 1838*j**3 + 1835*j**3 - 19*j.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13377, 26765, 40159, 53559?\nAnswer: 66965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a millisecond in microseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x + 24. Let p(q) = -2*q**2 + 15*q - 1. Let k be p(7). Let m be o(k). Suppose -4*s = -2*g + m, -4*g + 2*s = -8*g - 14. Which is greater: g or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5)\/((-20)\/8) + 63. Suppose 4*u - 4*s = 324, 3*s = 2*u - 101 - b. Is 78 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*h**2 + 2*h - 227 wrt h?\nAnswer: -16*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*j + 207*t = 202*t - 19, j - 5*t = 31 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the first derivative of 34 - 3\/2*y**2 - 2*y. Calculate u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -688*s + 2781*s - 675*s - 682*s - 761*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12857, -51288, -115341, -205016, -320313, -461232?\nAnswer: -627773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(216) - -6*3*sqrt(216))\/(sqrt(72)*5 + sqrt(8)))**2.\nAnswer: 9747\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/(3\/(-7)*(3 + -4)). Suppose 0 = -11*u - l*u. Suppose u = -6*z - 0*z + 90. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*t**3 - 37 + 37.\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -4436*o**2 - 3*o + 4492*o**2 + 5 + 4*o - 7*o + 5*o as k*o + f*o**2 + v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 328\/31 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j. Let f(m) be the third derivative of -421*m**4\/24 - 93*m**2. Calculate b(f(a)).\nAnswer: -421*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 828 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*x + 10*x + 24*x - 29*x + 45*x.\nAnswer: 43*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 9.206145 decades in millennia?\nAnswer: 0.09206145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -96 + (-12 + (3 - -1) + 27 - 38).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -8.3 at most 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2cc1 + b7f?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times 65442807?\nAnswer: 327214035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 408641268?\nAnswer: 2, 3, 7, 4864777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -25225*c**3 - 8*c**2 - 2*c - 2784 wrt c.\nAnswer: -151350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-6*1*sqrt(1053)*-4 - 2*(sqrt(1053) + 1 - sqrt(1053) - sqrt(1053))*4)**2.\nAnswer: -4608*sqrt(13) + 1078341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 2 + (4 - 0 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -6266*i**3 - 4090*i**2 + 26*i. Let h(o) = 4177*o**3 + 2727*o**2 - 16*o. Let l(b) = 8*h(b) + 5*r(b). What is the third derivative of l(t) wrt t?\nAnswer: 12516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26 + 20. Let d = b - -9. Solve d*t = 2*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7623*z + 7187*z - 3744*z + 708*z)*(2*z - 3*z + 3*z) as d*z**2 + y + b*z and give d.\nAnswer: 23548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (3 - 5) + 4 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of s**6\/60 + s**4\/12 + 11*s**2\/2 - 9. Let x(a) be the second derivative of g(a). What is the second derivative of x(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8063 - 13603 = 28*s - 7248 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0099485 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 27, 69, 103, 129, 147, 157?\n\"Answer: -4*u**2 + 54*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -1 + -3 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 462756.8 centuries to months.\nAnswer: 555308160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -2*f + 35. Suppose -4790*s + 4785*s + 890 = 0. What is the remainder when s is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -17 by -72.\nAnswer: 17\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 116 + 319 = 161 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 - 10*c + 21. Let j = -63 + 71. Let x be o(j). Suppose z = -4*z - 5*g + 60, x*z - 5*g - 40 = 0. What is the remainder when 48 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 AM and 1:02 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 235334*c + 9648699. Determine v(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.05 - 0.35. Let p = 45.75 - 51. Let g = p - -0.25. Which is the smallest value? (a) w (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 15 = -5*z, -6*z - 3*g + 9 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 PM and 2:23 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 + 56. Suppose 4*y - 18 = 2*y + r, 28 = j*y - 2*r. What is g in y + 4 + 20*g**2 - 24*g**2 + 16*g + 8 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 3*o + 56. What is the remainder when m(16) is divided by 0\/(-3) + 21\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-3)\/(-2))*((-330)\/682)\/(-5).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 14 = 5*j, 38*j = 37*j + 2*i + 4. Solve j*k + 0 = -4*l + 6, 1 = -2*l + 3*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-22)\/(-6) + (-2)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -314.2 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 368 = 4*x, 4*x - 365 = 5*f + 3. Let o = -919\/10 + x. Let q = 1\/27 - 31\/108. Is q not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -474*m**6 - 332*m**2 wrt m?\nAnswer: -56880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -107*w**2 + 439*w - 108. Calculate r(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -41, -5, -1 in decreasing order.\nAnswer: -1, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**17\/o**(-4))\/(o**(2\/7)*o**9) assuming o is positive.\nAnswer: o**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17569, -35171, -52807, -70495, -88253, -106099, -124051, -142127?\nAnswer: -160345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*y + 79*y + 205*y)*(y**4 + 0*y**4 + 0*y**4) + 0*y**5 + 0*y**5 + 2*y**5.\nAnswer: 300*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/592 and -35\/24?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of -7767*t**5\/5 - 1983*t + 6496. What is the first derivative of l(b) wrt b?\nAnswer: -31068*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xuukxuuuxuxuu. Give prob of picking 2 x and 1 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**2 - 138*m + 4666. Determine q(59).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 67\/(24857\/(-106)) + 110\/(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 PM and 1:37 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 126 + -131. Suppose -10*i - 9*i = -361. Sort 2, i, s in descending order.\nAnswer: i, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 PM and 4:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 316609552 less than 0.4?\nAnswer: -316609551.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of -b**6\/3 - 8*b**5\/15 + 10*b**4\/9 + 20*b**3\/27 - 11*b**2\/9 + 4*b\/9 - 6. Determine r, given that y(r) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 - 6. Let t be (-3 + (4 - i))*0. Solve t*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 7*a. Let d be q(1). Suppose -k - d = -4*h, -3*h = h - 12. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -156*w + 5445. Determine d(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 13*s**4 - 173*s**3 - 87*s + 22. Let c(o) = 7*o**4 - 86*o**3 - 43*o + 12. Let v(z) = -11*c(z) + 6*q(z). What is the second derivative of v(r) wrt r?\nAnswer: 12*r**2 - 552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 722*a**3 - 54*a**2 + 54*a + 2. Calculate p(1).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3210 + 3210.5. Let y = 3 - 3.2. Let l = -0.4 - y. Which is the closest to l? (a) -0.3 (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/(2\/3))\/((-399)\/(-38)). What is the closest to 1 in 3, 1\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -843056 + 2053759. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2402*x - 2404*x - 2431*x - 4*x**3 + 9635*x - 2398*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 28 + -40. Let p be ((-101)\/2)\/(2\/y). Suppose 25 = 5*a, 5*s - 4*a = -217 - p. What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(152)*-4)\/((sqrt(8) + sqrt(72))*-4).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -16*o**4 + 18*o**4 - 2*o**3 - 4*o - o**2 + 2*o - 12*o**2 as q*o + g*o**3 + v + k*o**2 + m*o**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 20490941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u + 12 - 1. Suppose 0 = 6*d - 55 - u. Let g(r) = d*r - 4*r - 4*r**2 + 28 - 60 + 34 - r**3. Calculate g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1693 + 1698. Put 6\/17, d, -5\/4, 3 in decreasing order.\nAnswer: d, 3, 6\/17, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -3*x - 6. Let n be p(-3). Suppose -n*q + 10290297 = -4799703. What is q rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 24.2 - 22.2. Let z be (-2)\/4*2*1. Let d = 0.3 + 0.5. Which is the nearest to z? (a) x (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -2 + -10 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.2669147m?\nAnswer: 0.0002669147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -10*t**3 - 4*t**2 - 2*t. What is the remainder when b(-2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of -7*y**5\/20 - y**4\/3 - y**2\/2 - 35*y - 1. What is the third derivative of s(k) wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -15\/14, 36, -2084?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 166 + -113. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.2 - -0.8. Let l = 167.7 + -168. Which is the nearest to n? (a) -1\/4 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**2 + 7*i + 18. Let v be b(9). Suppose 2*u + u - 66 = v. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 118.36268 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*l + 341 - 341.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - ((-8 + 1 - -6) + (-1 - 5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, l: 9, s: 1, z: 7}. Give prob of picking 1 l and 1 z.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 PM and 6:56 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*o**2 - 5 + o - 26*o**2 + 8*o**2 - 26*o - o.\nAnswer: -5*o**2 - 26*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 717650?\nAnswer: 2, 5, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*sqrt(110) - sqrt(110))\/(-2*sqrt(250) - sqrt(250)).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 116 + -115. Let m be (-10)\/4 + (5 - 2). Let z = m - 1\/4. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2040, 4477, 7312, 10545, 14176, 18205, 22632?\nAnswer: 27457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 64679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 30047156 to the power of 1\/2, to the nearest integer?\nAnswer: 5482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 138\/41, 5, -576 in increasing order.\nAnswer: -576, 138\/41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -29644, -63070, -96498, -129928, -163360?\n\"Answer: -a**2 - 33423*a + 3780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 25906691 - 2358*o - 25906691 + 2163*o**2 wrt o?\nAnswer: 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 6*s - 7)*(8 - 1 - 16*s - 6)*(2*s - 3 + 3).\nAnswer: -192*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1.10529 rounded to two dps?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1 + 2*(-1*sqrt(256))\/sqrt(8).\nAnswer: -8*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-7)\/j)\/j**(-10)*((j\/j**0)\/j)**(-50))**17 assuming j is positive.\nAnswer: j**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -7*d*j*s*t + 63300*d*s**2*t - 2*d*s**2 - 2*d*s + j*s**2*t + 13791*j*s**2 - 2*s**2*t wrt j.\nAnswer: -7*d*s*t + s**2*t + 13791*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1\/3))**14*(y**(-2))**(-19) assuming y is positive.\nAnswer: y**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-24)*-75*(-1)\/5*(-288)\/4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 32352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 2*g**3 - 13*g**2 + 15*g + 5. What is z(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of 2*n**6\/3 + 11*n**2\/2 + 10. Find the second derivative of q(b) wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4425\/56 (c) 1\/4 (d) -13 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 5*d = -83 + 55, -35 = -5*d. Let v(l) = -4 - 2 + 8*l - 3*l**2 + 2*l**2. Determine v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1835)\/(-10))\/(2\/4). Let l = z + 826. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2.7, 0.05, -0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2 + -1 - (-17)\/5. Let f = -64\/119 - -14\/17. What is the nearest to n in f, 4, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 12*o - 22 - 8*o**2 + 16 + 13*o**2. Let h(u) = -4*u**2 - 10*u + 5. Let t(k) = -5*g(k) - 6*h(k). Determine t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 58 = -5*h, 124805*w = 4*h + 124808*w + 28 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -24*i + 21*i, -26375 = -3*m - i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22862675, -45725336, -68587993, -91450646, -114313295, -137175940, -160038581?\nAnswer: -182901218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 23286 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 17*i. Let x(v) = -14*v + 3*v + 2*v + 7*v. Give x(f(h)).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2*s**2 - s**2 - 5 + 4*s**2. Let w = -84 + 69. Let g be ((-6)\/w)\/1 - 6\/15. Give o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -10*h + 4. Let s(n) = -2 - 5 - 3 + 9. Let p(q) = -2*g(q) + 6*s(q). Differentiate p(j) with respect to j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 14 = -6*p. Suppose -85 = -10*f - p*f. Sort -1, 154, f in decreasing order.\nAnswer: 154, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 10473531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*f + 8*f + 162 = 0. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 30*u - 29*u - 3 - 10 - u + u - 2*u + (-1 + 1 + u)*(4 + 0 - 3) + 2*u + 0*u - 4*u.\nAnswer: -2*u - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 173886 (base 16) in base 13?\nAnswer: 413895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 423984 and 1004?\nAnswer: 106419984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be 7 - (24\/2)\/3. Suppose t*v = 0, 4*h - 3*v - 205 + 69 = 0. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-45640)\/19 + (-2)\/(-19). Let d = -181 - z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*l + 38*l + 499 + 1337 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away 1438.89399?\nAnswer: -1442.89399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - 5*k + 1. Let s be l(-5). Let x = -3 + 5. Suppose z = 6 - x, 0 = -f - 3*z + 17. Sort f, -3, s in decreasing order.\nAnswer: f, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 - (46 + -26) - (2 - 2 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -15\/146767 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(288) + -5 + sqrt(256)\/sqrt(128))**2 - (sqrt(22)\/(sqrt(22)\/sqrt(2)*-1)*2)**2).\nAnswer: -130*sqrt(2) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 - 6*r - 2. Let w be s(-5). Solve -w*x + 4 = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/9 or -70.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9558652*k + 362809*k - 336401*k + 2.\nAnswer: -9532244*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 44\/107553825 and 26\/11.\nAnswer: 1183092075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find i such that i**2\/7 + 840649*i\/7 - 12609960\/7 = 0.\nAnswer: -840664, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -160? (a) -2\/3 (b) 7.4 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 890 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.02 - 157431122.\nAnswer: -157431121.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -56*y + 2631. What is the remainder when a(17) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of 81997*f**4\/12 - f**3\/2 - 6*f. Let h be r(-1). Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*z**2 + 54*z**2 - 70*z**2 - 128*z**2 - 12*z - 1 to k*z**2 + s + j*z and give k.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z + 8, -z + 20 = -3*m + 4*z. Suppose 4*k = 5*i - 5, -i + 2 = k - 2*k. Sort -3, k, m.\nAnswer: k, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18861088 by 2.\nAnswer: -9430544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-7 - -4) + (1 - -8). Suppose 5 + j = v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 26 = -v, 0*v - 18 = 3*l + 3*v. Let d(b) = -4*b - 5. Let j be d(l). What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 16240*z - 64615 wrt z.\nAnswer: 16240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78)\/(sqrt(18)*-1))\/((sqrt(33) + (-2*sqrt(297))\/sqrt(9))\/sqrt(11))*3.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3148703?\nAnswer: 79, 39857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -28651, -55488, -82325?\n\"Answer: -26837*w - 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 404135 and 1965.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -499, -2095, -4877, -8947, -14407, -21359?\n\"Answer: -17*q**3 - 491*q**2 - 4*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 5:54 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6878 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y**3 - 8*y**3 + 4*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o\/(o**(-2\/7)*o))*o)*o*o\/(o*o**4))\/((o*o*o**9*o)\/o*o*(o\/(o\/((o\/(o*o**13))\/o*o)))\/o) assuming o is positive.\nAnswer: o**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 4*w - 152 = 0, 5*x + 3*w + 28 = -218. Let s = 78 + x. Calculate the remainder when s is divided by 2\/(-4) - 23\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3714033?\nAnswer: 3, 97, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 468 and 14599?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 554 a factor of 362991699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand c**2 + 0*c + 0*c + (3 + 3 - 5)*(-87 + 87 - 9*c**2) + 56*c**2 - 79*c**2 - 48*c**2.\nAnswer: -79*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 3*y = -8. Calculate the common denominator of 94\/(-20) + 2\/y and 5\/(20\/8) - (-58)\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.001, 3\/4, -3.2, 2, -3 in descending order.\nAnswer: 2, 3\/4, -0.001, -3, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -775 - -774.202. Round f to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 360068369+-59\nAnswer: 360068310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 11\/52078 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -5*u + 46. What is x(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.141017883 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 29716 = -u - 34577, -4*q + 5*u + 85735 = 0. What is q rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37588 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3\/4, 2\/9, 766076, 1.\nAnswer: 0, 2\/9, 3\/4, 1, 766076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of -j**5\/40 - 17*j**4\/24 + 29*j**3\/6 - 10*j**2 + 364*j + 3. Factor d(p).\nAnswer: -(p - 2)*(p - 1)*(p + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5338 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ponknoobnpkanbbbbak. What is prob of picking 3 o and 1 a?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Convert 14.82778 tonnes to micrograms.\nAnswer: 14827780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + 4*k - 2*r + 28 = 0, r = 5*k - 64. Is 4 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l**5\/3 - 77*l**4\/3 - 3556*l**3\/3 + 7412*l**2\/3 = 0 for l.\nAnswer: -34, 0, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -367*s + 74 - 138 + 63.\nAnswer: -367*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/55 - (-10074)\/11. Suppose 3*h = 5*b + 687, -2*b - b - q = -4*h. Suppose -h = -o - 5*l + 14, 0 = o - 3*l - 211. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69)\/207*-1*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 31055 (base 7) in base 11?\nAnswer: 5777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 7960\/11 + 476\/1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 654\/13 + -17005\/338. Let f = t - 1519\/676. Find the common denominator of -1\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 922501 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 + 5*h**2 + 3*h + 9. Give k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3170491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/((-8)\/2))\/(1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 782?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 770706792 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 PM and 7:34 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 3846, -9, -1, 144 in descending order.\nAnswer: 3846, 144, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be 561\/(-1309)*56\/(-6). Solve -4 = r*n, -2*a - 4 = 3*n - 5*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 45*c. Let q be s(1). Let d = -10 - -28. Calculate the highest common factor of q and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 1:16 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 + -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15, 25, -1, -87, -257, -535, -945?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -2\/5 (b) -2\/9 (c) 2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 48 or 6040049?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3*n = 6, -j + 0*n + 9 = -4*n. Let p be 8\/j*45\/(-12). What is the units digit of (p\/(-6))\/(2\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 7*h + 10*h + 12*h**2 + 10 + 3 - 20*h**2 + 9*h**2. Calculate g(-20).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -7*q - 1. Let b be ((-55)\/(-10) - 4)*2. Let n(j) = b - 5 + j - 3 - 4. Let l be n(10). Give d(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3*s**2 + 910*s + 2714. What is o(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -900 = -2*z - 3*z. Let p = z + -811\/4. Calculate the common denominator of p and -45\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 251175 is divided by 251157.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/6)*o**(-7)*(o\/(o\/((o*(o\/o**(-2\/19))\/o)\/o)))\/(o*(o**13\/o)\/o) assuming o is positive.\nAnswer: o**(-2135\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 600*j**3 + 10*j**2 + 5 wrt j?\nAnswer: 3600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -5*l**3 + 4*l**2 - 4*l + 1. Let k be 2*(1 + 3\/6). Let s(d) = 3*d**2 - d - 2*d - 5*d**3 + d**3 + 1. Calculate k*f(g) - 4*s(g).\nAnswer: g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the third derivative of 0*b - 1\/3*b**3 + 0 + 1\/8*b**4 - b**2. What is the remainder when p(4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in 1.1, -0.4, -47115\/16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-2) - 15\/(-26). Let m(h) = h**2 + 12*h - 26. Suppose 0 = 2*j - 4*p + 24, 27 = -0*j - 2*j + p. Let n be m(j). Is g smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 160 and 22130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 - 1. Let j = i + 5. Let c(x) = -x**2 + 4*x - 4. Let u be c(4). Put j, 3, u in decreasing order.\nAnswer: 3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q + 4. Let i = 1143 - 1142. Let w(k) = 1. Suppose g + 4 = 3*g. Suppose x - 2 = g*x. Calculate i*y(c) + x*w(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1502975 and 790.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 54 + -52. Put 4, v, -1 in ascending order.\nAnswer: -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -370 divided by -74.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 551806201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:41 PM and 10:36 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 315083 is divided by 368?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 272201101?\nAnswer: 67, 131, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 61155, 122304, 183451, 244596, 305739, 366880, 428019?\nAnswer: 489156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19 + 48. Let m be 2 - (0 + 3) - -6. Solve -m*v + 4 - p = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -593955, -2, -3, -10 in descending order.\nAnswer: -2, -3, -4, -10, -593955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be -5 + (-1)\/(2\/(-16)). Suppose 2*b - 3*v - 1504 = 0, 4*b = -b + l*v + 3751. Let u(c) = -b + c**2 + 0*c**3 + 743 + c + c**3. Calculate u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 44*q + 15. Let b be w(-2). Let l = -1385\/19 - b. Is 0.1 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/6 + (0 - 0). Suppose 3*z = 3*m + y + 5, -m - 22 = -5*z. Let a(s) = s**3 - 4*s**2 - 7. What are the prime factors of a(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-10)\/v*v)\/(v**(-8)\/v))**(2\/43) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28621206 and 2151.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1387 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -129.999 - -130. Let p = l + -3.001. What is the closest to -3 in -6, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1081, -3983, -8685, -15187?\n\"Answer: -900*j**2 - 202*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 84.53697 microseconds in nanoseconds?\nAnswer: 84536.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - x. Suppose -4*t + 10 = k - 2*t, -3*k + 2*t = -54. Suppose x = 3*j + j - k. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of 15908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + 1. Which is the closest to 2\/5? (a) -0.5 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/3*1\/(-8). Which is the third biggest value? (a) -0.06 (b) 0 (c) q (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 45 and 913823181.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6045 and 975.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 20822, 166420, 561610, 1331186, 2599942?\n\"Answer: 20799*c**3 + 2*c**2 - c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j**2 - 13*j + 5. Let v be n(6). Which is the third biggest value? (a) -3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**3 + b**2 + 2*b. Let k = -2 - -4. Let p be t(k). Does 17 divide p\/2 - 3 - -23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(850)*4 - sqrt(34))\/(sqrt(12)\/(sqrt(42)\/sqrt(7))).\nAnswer: -76*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -19, -78, -185, -346, -567, -854, -1213?\n\"Answer: -b**3 - 18*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 250986187 divided by 3?\nAnswer: 250986187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - 3)\/(7\/140*-10). Solve -u - i = 0, 0 = -4*s - 5*u - 5 - 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, c: 2, j: 4, v: 1, p: 6, g: 1}. What is prob of picking 1 z, 1 g, and 1 p?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yuuyy. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k**(-6)))\/k*k**(-9\/2) assuming k is positive.\nAnswer: sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2215644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, p: 8, a: 1, v: 3, n: 4}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 175161374.1 rounded to the nearest one hundred thousand?\nAnswer: 175200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 61553642 - 1?\nAnswer: 61553641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*b + 14*b + 3*b + 272 - 4*b.\nAnswer: 7*b + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 + 17 = 3*v. Let u be 6\/8 + 63\/v. Suppose u*r - 75 = r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.056 in 0.5, 3\/7, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2, 12977, -23, 3, -5 in decreasing order.\nAnswer: 12977, 5, 3, 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -66, -65, -64?\n\"Answer: h - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 1. Let o = 5 + 1. Suppose 4 = o*b - 2*b. Let q(y) = y**4 - 2*y**2 - 2. Let r(k) = b*q(k) + 2*g(k). What is the third derivative of r(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1.27 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {v: 10, c: 4, a: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5566 and -4.\nAnswer: -22264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -328 != -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 + 10*b - 15. Suppose -17*s = -18*s - 11. Determine p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 8:13 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 2*l + 22 = 5*b, -5*b + 10 = -5*l. Let a(z) be the first derivative of 18 + 8*z - z - 8*z**l - 12. What is the derivative of a(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in -3*r**5 + 46962*r**4 + 516888*r**3 + 892878*r**2 + 422955*r = 0?\nAnswer: -9, -1, 0, 15665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5123 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 16) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*b - 3*b**2 - 3*b**2 + 101*b + 3*b**2.\nAnswer: -3*b**2 + 97*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 467*r + 103787 - 406403 = 0. Calculate the highest common factor of 366 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -5*w - 7, -4*f + w = 3*w - 2. Differentiate 4 - 27 - 61*r**f + 42 wrt r.\nAnswer: -122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(88)\/(sqrt(88)\/sqrt(11)) + (3*(sqrt(1331) + sqrt(11)))**2 + 2.\nAnswer: sqrt(11) + 14258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 310182.3nm to centimeters.\nAnswer: 0.03101823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 325459250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-6\/5)*k**16 assuming k is positive.\nAnswer: k**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/22 + 26*(46\/44 + -1). Let x(d) = 4 - 3 + d - 1. Let i(g) = 28*g. Determine c*i(z) - 21*x(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.7 + 0.3. Let z = 8\/41 + -31\/369. Let v be 40\/60 + 66\/(-45). Sort j, v, z in increasing order.\nAnswer: v, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -21*r + 6*r**2 + 21*r. Let q(o) = o. Give s(q(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -10*z**2 + 19*z + 1. Let s(a) = 3*a**2 - 6*a. Let g(h) = -2*i(h) - 7*s(h). What is g(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -3456580 and -3456580 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 7*y + 18 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (129\/(-2))\/((-6)\/20). Suppose 194 - h = -r. Calculate the highest common factor of 91 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4849 + -67997\/14. Let i(f) = -3*f + 12. Let k be i(6). Calculate the common denominator of k\/(-15) + 933\/30 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-85)\/25 + 6\/(-10). Calculate the smallest common multiple of 7 and ((-82)\/(-4) + z)*(4 + -2).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lww when three letters picked without replacement from {l: 4, w: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-148)\/370)\/((0 + -6)\/((-75)\/10)). What is the nearest to 5 in 1\/2, -70, z, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + p - 12. Suppose 2*n = 5*g - 882, 4*g - 249 - 454 = -n. Suppose -g*a + 14 = -174*a. Solve -p*q - i + 0*i - 11 = 0, -a = 2*q + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -10*(-48)\/60 - (-8)\/(-1). Solve 0 = 4*f - b + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 628*q**3 - q**2 + 3*q - 2. Let w be m(2). Let u = -17252 + w. Let z = 8368 + u. Round z to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 5*f - 1. Sort 0, 1, f in increasing order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 2*t**2 + 5*t + 4. Let q be z(-3). Suppose 0*r + q*r = 126. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -123 divided by 41\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/((-3)\/(-8)*(-26)\/156). Let u = 99 - a. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*39\/((-1794)\/(-874)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -8*j - 45. Let v(f) = f**3 + 7*f**2 + f - 5. Determine v(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 42 - 60. Let p = -13 - n. Solve p = -2*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**10*q**(-7\/4))**(-4\/3) assuming q is positive.\nAnswer: q**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -456 = 9*q - 528 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 2*x + 163 = 5*o, 5*x = o - 37. Solve -3*p + 51 - o = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1a46 - -b1?\nAnswer: -1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -57, 4, 2, 54132 in decreasing order.\nAnswer: 54132, 4, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 2:05 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16925, 16918, 16905, 16886?\nAnswer: 16861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 3*h**3 + 4*h**2 - h - 5. Let m(j) = 2*j**3 + 3*j**2 - 2*j - 4. What is -5*m(k) + 4*t(k)?\nAnswer: 2*k**3 + k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**3 + 14*i**2 - 14*i + 32. Let p be r(13). Suppose 0 = 6*w - p*w + 234. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 1917 - 1907. Let o be -4*(1 + (-1)\/4). Which is the fourth smallest value? (a) 1\/2 (b) -1 (c) o (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2585 - -4114. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1225*f - 13689 - 333*f + 13689.\nAnswer: 892*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - ((-1 - (-12 + 14 - 1)) + -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.0482 and -1?\nAnswer: 0.0482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3075, -3165, -3257, -3351, -3447, -3545, -3645?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62532 is divided by 1276.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.022 + 0.024. Let q = 0.0460086 - a. Round q to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21006 and 324?\nAnswer: 126036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 - 5*c**2 + 2*c + 2. Let p be j(3). Let n(z) = -53*z - 58. Let f be n(-2). Let t be (p\/f)\/((-8)\/30). Is 5 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-4) - 27\/(-12). Let o = -7 + y. Let n = 28 + o. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-11)\/22)\/((-2)\/(-40)*1). Let k(p) = 9*p**2 - 15*p - 23. Is k(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (36\/15)\/((-4)\/(-25)). Is 113\/7 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1684*o**3 - 3*o**2*v**2 - 278*o*v**2 + 2*o*v + v**2 wrt o?\nAnswer: 10104*o - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 5*f**3 + 2400*f**2 + 63415*f + 61020 = 0.\nAnswer: -452, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 26 * 47.\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 20333899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -135 divided by 1.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the first derivative of 1\/6*a**6 + 0*a - 9 - 18*a**2 + 0*a**4 + 0*a**3 + 0*a**5. Find the second derivative of m(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -175, -3089, -10977, -26323, -51611, -89325, -141949?\n\"Answer: -414*p**3 - 3*p**2 - 7*p + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -39524, -79890, -120256, -160622?\n\"Answer: -40366*i + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3178 is divided by 1270?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 15046583 to the power of 1\/2, to the nearest integer?\nAnswer: 3879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m**3 + 12*m**3 - m**3 - 11*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7908?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -137343\/10 or -13734?\nAnswer: -13734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 11*d**4 - 4 + 18 + 2*d**3 - 6 - 7 as t*d**3 + u + s*d**2 + l*d**4 + i*d and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -3\/14, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 9, f: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from ddduvdddvdldddduuldd?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 168147.\nAnswer: 3, 7, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/1*(-31)\/(-93). Suppose g = -16*v + 14*v + 110. Calculate the least common multiple of 40 and v.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96204415 is divided by 274.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from ppoopqqppsp?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of -z**5\/5 - 7*z**4\/8 + 9*z**3\/2 - 36*z. Let v(l) be the second derivative of k(l). Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 58, -2, 5.\nAnswer: -2, 5, 8, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -749 - -752. What is the closest to 0 in f, 8\/3, 4\/5, 34?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -317711497 and 303.3?\nAnswer: 317711800.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - s - 2*s = 144, 3*g = -2*s - 108. Let t = g - -40. Suppose -5*a - 2*p = -17, -2*p + 11 = t*a - 3*p. Is a equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 623, 622, 621, 620?\n\"Answer: -n + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 44159635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 - 14*x**2 - x + 11. Let m be i(14). Let w(u) = 44*u - 15. Let h be w(m). Let o be (6\/8)\/(h\/(-56)). What is the biggest value in o, -2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20 and 3845420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m**2 + 254*m - 4715. What is x(56)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 5*n - 36 = 0, -6*n = -4*a - 2*n + 216. Let k = 76 - a. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1642114, 1642109, 1642104?\n\"Answer: -5*z + 1642119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*u = -5*p + 28*u, 0 = -u + 3. Let c be 1200\/315 - (0 - 0). Is c at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c. Let m be j(3). Suppose m*b - 6 = -3. Let x(f) = 3*f**3 - f**2 + f. Let o be x(b). Is o < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zo when two letters picked without replacement from {z: 13, o: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/(-3))\/(9\/(-135)). Let u = z - -25. Solve -3*n = n - u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 58 + -21. Let y(f) = 4*f**2 - 3*f + 1. Let z be y(2). Let r = z + 2. What is the remainder when g is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 14 = -0*p. Suppose -4*d - p = -3. Is 14 a factor of (d*1)\/(3\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -3 + 2 + 0 + c. Let v be w(5). Suppose -4*o + 9 = -3*t, -5*o - 3*t + 14 = -v. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 739 - 734. Solve -z*b - 15 = -3*c, -5*c = -0*b - 4*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2094\/(-16) - (30\/(-16) - -2). Let u = -87 - a. Suppose u = -2*x + 74. Which is greater: 29\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 15 (b) 1.113 (c) -5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 23 divided by 6?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 36776 + 8541 = -5*v, -2*v = 4*i - 28238. Is 1\/(i\/(-2354) + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from hjqep.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3602855*i**3*l**2 - 11*i**3*l - 6*i**3 - 4956885 wrt l?\nAnswer: -7205710*i**3*l - 11*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = q + 3. Let f = 104 - q. Solve -f*j - 30 = 4*x - 5, 4*x - 5*j - 25 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 844863, 1689720, 2534557, 3379368, 4224147?\nAnswer: 5068888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(304))**2 + -5 + sqrt(304) + ((sqrt(304)*-2 - sqrt(304)) + sqrt(304))**2 + sqrt(304) + 4 + sqrt(304))*6*-1.\nAnswer: -9120 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.44 + 6.48. Let w = 0.08 + q. Let h = 5 - w. Which is the third biggest value? (a) -2 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*w + q, -3*w + 4 - 1 = -3*q. Is 2\/17 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -8*m - 12. Let f be (114\/2)\/m + -1. Let h be 0 - 5\/(f\/(-4)). Sort 4, 6, h.\nAnswer: h, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4 - 290*a - 299*a + 581*a as v + y*a and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -315048 divided by 157524?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16.79 + 0.21. Let d = 14 + v. Let z = 30.963 - d. What is z rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 14790*a + 97. Let w be j(5). Suppose -w - 23364 = -29*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 12 - y - 10*y - 3*y + 13*y. Let g be o(4). Suppose -26 = -9*l - g. Solve -l = 2*s, -2*j - 2*s + 4*s = 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-72)\/192*136\/51\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1352745391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-282)\/(-2726)*-87 - 2*(-1)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2229, 9050, 20429, 36366, 56861, 81914, 111525?\nAnswer: 145694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.40232 - 2.4. What is t rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 181192 divided by -15.\nAnswer: -181192\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -5*r**4 - 725*r**3 - 21000*r**2 = 0. What is r?\nAnswer: -105, -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1284 - 1271. Solve -24 = -11*j - l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dvddvdvvvdvdv. Give prob of picking 3 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, p: 1, m: 1, t: 2, g: 4, n: 7}. What is prob of picking 1 t, 1 n, and 1 p?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -12.03 take away -11341?\nAnswer: 11328.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9.3 + 3.3. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 819274813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 + g - 1. Let t(y) = -6*y**2 - y - 17. Let j(x) = -5*c(x) - t(x). What is the remainder when j(6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**2 + 6*l - 1. Let p be a(6). Suppose -r - 2*r - 6 = 0. Let n be -1 + 3\/p*r. Solve -5*q - 5 = n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -88.41 + 89. Round l to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.38 + 4.62. What is the second smallest value in 7, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11917810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 4.415931 grams in nanograms?\nAnswer: 4415931000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 157135*v - 33087 = 157942*v for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000930065191 rounded to 7 dps?\nAnswer: 0.0009301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3961 - -7712. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 u, and 1 l when three letters picked without replacement from {u: 2, m: 8, l: 1, z: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 239 - -68. Suppose q*k - 308*k = -2. Suppose -11 = -d - w - 3*w, 5*w = 4*d - 2. Solve d*a = -m, -a = -k*a - 5*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**2 + 2*s - 1. Let l(n) = n**2 - 6*n + 7. Let p be l(5). What is the units digit of v(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2472 is divided by 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -c**4 + 2*c**3\/3 + 6. Find the third derivative of r(p) wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3 + 990\/123 + 28\/(-574). Solve 3*b + k + i - 7 = 0, 4 = -3*b + 2*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -455845, -58\/15, 0.4?\nAnswer: -58\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 184*f. Let u(a) = 74 + 70 - 6*a - 144 + 4*a. Give d(u(z)).\nAnswer: -368*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence csw when three letters picked without replacement from {s: 1, c: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5511898 a multiple of 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((-1 + sqrt(2))*-3 + (sqrt(24)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: -108*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 49162327.55 take away 16.27?\nAnswer: 49162311.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 + 32. Suppose -h + m = -3*m - s, 3*h - 5*m = 27. Let a be (-4)\/(-6)*(-1050)\/(-28). Solve -h*f = a - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2156*t + 21774. Calculate b(10).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 23047 divided by 1?\nAnswer: 23047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -17, 4, -161, 7, -2\/5, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/2 or -1.06?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - ((10 - 6) + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.052 and -43.7579?\nAnswer: 2.2754108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 PM and 6:07 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1233200010 - 11221?\nAnswer: 1233122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -306 + 279 + (6 - -96).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, -4, -1\/51, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qiiiiqiqqei. What is prob of sequence ii?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 2 m when four letters picked without replacement from {m: 3, d: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/1240616 and -36\/65?\nAnswer: 6203080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3461*x**2 - 3580*x**2 - 8104*x**2 - 8207*x**2.\nAnswer: -16430*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 12*i**2 - 13*i + 4. Let u be c(13). Let o(w) = w - 63. Let s(m) = 95. Let d(t) = 8*o(t) + 5*s(t). Let h be d(u). Solve -h*g + 6 = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 11*c**2 - 23*c + 6. Let q be z(-10). Suppose 9*h - q = 2*h. Let o(x) = x. Let l be o(6). Calculate the greatest common factor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 127231906?\nAnswer: 2, 23, 53, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-10)*-5*(95\/15 + 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -310 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/81998360 and -89\/40.\nAnswer: 81998360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 135680076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.5 + 0.4. Let n = 0.2 + m. Let q = 0.07 + 3.93. What is the third biggest value in 0, q, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -13, -5, 3, 11?\n\"Answer: 8*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3410.224 seconds in microseconds?\nAnswer: 3410224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nmlx when four letters picked without replacement from {c: 1, x: 1, m: 1, l: 1, n: 1, b: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -90 + 93. Solve -2*q = q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/3, -181, 5, 2\/131, -6\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 78 and 144596454.\nAnswer: 1879753902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 4\/6 + 833\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 56 = -2*u, o - 21 = -1914*u + 1920*u + 182 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 100825432909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.035995263312 - -40.\nAnswer: 40.035995263312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**15*(l\/(l\/(l\/l**11)))\/l assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Do -5 and 2\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*t - 497*t - 6*t + 119*t - 85*t.\nAnswer: -480*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (1703 - 1720) + (2 - 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 - 2*k**3 + 3 + (74*k - 157*k + 52*k)*(2*k**2 - k**2 + k**2).\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9960 - -10082. Solve 0 = -x*o + 138*o - 64 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46835 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 33369 and 392?\nAnswer: 266952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*v - 0*v. Suppose 0 = 5*n - 5, 636 = -2*l + v*l + 2*n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/12*(-18)\/(-24)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3524 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2 (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*m**3 + 6*m**3 - 58*m + 52*m + 53*m.\nAnswer: -18*m**3 + 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 4*x**3 + 3*x - 3. Let c(q) be the second derivative of -q**5\/4 - 2*q**3\/3 + 2*q**2 + 367*q - 2. Give 3*c(f) + 4*t(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -1052*g - 1956. Let h be v(-2). Calculate the greatest common factor of h and 2738.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(-12) + 1 + -1. Let t = 0.12 - 8.12. Let r = t - -7. What is the biggest value in r, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-1*20))\/(24\/(-15)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17835 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.118 and 0.052?\nAnswer: -0.006136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -131002020 (base 4) to base 16\nAnswer: -1d088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most -64\/3729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -51\/23870 and 39\/21266.\nAnswer: 1169630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 14 = 3*q + 2*k, 4*k = -2*q + 16. Suppose -4*u - 4*j = 12, 5*u = -6*j + q*j - 11. Put 2\/3, -2\/7, u in decreasing order.\nAnswer: u, 2\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 + -5. Let q = l - 7. Solve -g = -b + 2*g - 8, 0 = q*b + 2*g + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 + -8 + 22 - (1 - 21)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.5 + -1.4999944. Round z to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000697005899 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express c**2 - 7*c**3 + 4*c**4 + 2 - 2*c**2 - 5*c**4 + c**3 in the form a + p*c**2 + y*c + s*c**4 + r*c**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 62)*(-4)\/(-8). Suppose -2*y - 21 = -9*y. Suppose 5*d = -y*h + m, -2*d + 0*h + 31 = -5*h. Calculate the highest common divisor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/633, 0.5, -2\/11 in descending order.\nAnswer: 0.5, 2\/633, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5*(-3)\/(6\/(-2)). Let u = 19\/42 - -1\/21. Let y = 4.3 + -4. What is the nearest to u in a, y, -5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32563617 is divided by 3682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 399667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 56 divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14 + 13.1. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -131998\/1145 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 106 (base 12) to base 2\nAnswer: 10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**2*d)**33*d**8*d**(-1\/4) assuming d is positive.\nAnswer: d**(559\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -78*a**3*r + 53*a**3 wrt r.\nAnswer: -78*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1205 a factor of 4055820330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -3. Let z(c) = -c**2 - 344*c - 2026. Let m be z(-6). Solve -m*n + 2*j - 4*j = 12, 0 = 3*n - a*j + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 161*b**3 + b**2 + 3*b + 4. Let s(k) = 160*k**3 + k**2 + 3*k + 3. Give -3*d(c) + 4*s(c).\nAnswer: 157*c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 84.58624 decades?\nAnswer: 845.8624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - a + 2*u = 4, -4*a + 17 = -5*u. Suppose 3*i - 259 = -a*q + i, -2*i - 8 = 0. Let s = q - -38. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -6 (b) 2 (c) 7216\/17 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (g**2 + 3*g**2 - 3*g**2)*(-855784*g + 72 - 177 + 855675*g) to h*g**2 + f*g**3 + n*g + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5566*y**3 - 2569*y**3 + 5714*y**3.\nAnswer: -2421*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*m + 11*m + v, 15 = 3*m + 3*v. Suppose g - 2*t + 11 - 14 = 0, -m = -g + t. Let k(b) = b - 3. Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 391 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.53 - 90.53. Let y = c - -89.8. Put y, 0, 18\/7, -5 in increasing order.\nAnswer: -5, y, 0, 18\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -453174 + 2?\nAnswer: -453172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -14*j + 9. Let r be w(1). Which is the biggest value? (a) r (b) 289 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2 = -18. Suppose -4*c = -2*t + 24, 4*c + 0*c = -i*t + 46. Let u be 3\/(-8)*t\/30. What is the closest to 0.1 in 2, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.275958 micrometers?\nAnswer: 0.0000275958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/1190 and 22\/795.\nAnswer: 189210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 3 p when four letters picked without replacement from {g: 3, r: 2, p: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -0*l + 2*j - 16, 0 = -5*l - 4*j + 68. Suppose 2*s + s = l. Suppose -5*c = -5*h - 25, h - 27 = -3*c - 0*h. Solve -c = s*z - 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/7*1*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1421, 2764, 4119, 5486, 6865, 8256, 9659?\nAnswer: 11074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 1)*(-14*f + 36 - 36 + (f + f - f)*(0 - 2 + 0) - 5*f + f + 3*f - f - f + 0*f + (-2*f - 3 + 3)*(5 - 1 - 6)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 76221031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -12479 divided by 751?\nAnswer: -12479\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 4*c**3 + 2*c**2 - 3*c - 3. Let f be z(-2). What are the prime factors of f\/(-2) - (-8)\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/f**(-1\/2)*f)\/f)**(-1)*(f**(2\/5))**48)**(-36) assuming f is positive.\nAnswer: f**(-3186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7941505 and 29491?\nAnswer: 55590535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -3064.114.\nAnswer: -1225.6456","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*f**5 + 111662*f**4 + 2671562*f**2 wrt f.\nAnswer: 240*f**2 + 2679888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 54 and 25692?\nAnswer: 231228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + 2*b**3 - 2 + (2 - 2 + b**2)*(-b - b + 3*b) + 9*b**3 + 6*b**3 + 2*b**3 + (b**2 - b**2 - b**3)*(-5 + 1 + 3).\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 199714304\/416 - (-18)\/(-39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -234681*d*w**2 + 2*d*w - 2641292*w**2 wrt d.\nAnswer: -234681*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -124414 (base 9) to base 3\nAnswer: -10211110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Convert 888417.2 decades to centuries.\nAnswer: 88841.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.0392 + 4.0392. Let m be 4\/10*50\/(-80). Let a = -67 + 66.5. Put 3, a, l, m in descending order.\nAnswer: l, 3, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.04 + 0.34. Let l = 0.7 + b. Let s = 680 + -2725\/4. Is l < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*4\/(-8))\/((-4)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((1*sqrt(832) - sqrt(52)) + (sqrt(1872) - (sqrt(1872)*2 - sqrt(1872))))\/((3*(sqrt(160)\/sqrt(4) + sqrt(40)))\/sqrt(10)) + 3.\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 864 + -146. Let h = a - 507. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 43 + -11859539\nAnswer: -11859496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -226*m + 28. Let l be j(-3). Suppose -6*f + 2548 = l. List the prime factors of f.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -3\/7, -9.4, 0, 1\/5, 14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(5 + (sqrt(7) - (sqrt(7) + -3*6*sqrt(7))) + -3 + (sqrt(28)*5 + (sqrt(7) - (sqrt(7) + sqrt(252) - sqrt(7))))**2).\nAnswer: -885 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 PM and 4:04 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*a**3 - 5*a**3 + 5*a**3)*(3 - 2 - 7) as l*a**3 + f*a + p*a**2 + i and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 6 + t**3 - 8 + 3*t + 4*t**3. Let o be c(1). Let b(q) = q**2 - 5*q + 2. Give b(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -14*u - 1. Let n be v(-1). Let p = n - 8. Factor -p*z**2 - z - z - 2*z**2.\nAnswer: -z*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 + 47\/4. Are z and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, j: 5, r: 5, z: 1}. Give prob of sequence xj.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (34\/1)\/((-6)\/(-141)). Let s(n) = -24*n + 10. Let i be s(21). Let r = u + i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-4*(0 + sqrt(98)) - (sqrt(98) - (sqrt(98) + 3*sqrt(98)*-1))))**2 + -5*(-2*(sqrt(98) + sqrt(98) + 1) + -2*(-1 + sqrt(98) - sqrt(98))) + -5.\nAnswer: 140*sqrt(2) + 120045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 11*z - 3 + 3 - 5*z**2. Let f(g) = 7*g - 3*g + 0*g**2 - g**2 + 5*g. Let s be f(11). Let l(w) = w**2 - 2*w. Give s*l(h) - 4*j(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -50a - 5?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times -15.2322\nAnswer: 6.09288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 11025, 21998, 32971?\n\"Answer: 10973*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of v**3 - v. Suppose 7*j = 4*j - 2*c + 5, j - 2*c - 7 = 0. Let d(w) = -3*w + j*w + 3*w + w. Calculate d(s(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 203, 410, 623, 842?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 4*x**3 + 205*x**2 + 53*x + 129. Calculate v(-51).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjkkjjjjkjjjjjjjjj. Give prob of sequence jk.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - p - p - 49 = 0, 3*q + 3*p + 24 = 0. Let i = q - -10. Suppose 2*v - 19 - 1 = 0. Put i, 0, v in decreasing order.\nAnswer: v, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/3)*b)**(2\/51)\/((b*(b*(b**(2\/9)*b*b)\/b)\/b)\/b)**(3\/13)*((((((b\/(b\/(b\/(b\/(b*b**13)))))\/b)\/b)\/b*b)\/b)\/b**10)**(-1\/2) assuming b is positive.\nAnswer: b**(-2903\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 2. Let u(c) = 5*c**3 + 2 - 299833*c - 4*c**3 + 6*c**3 + 299833*c. What is the units digit of u(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-11)\/44*-8 + 7 + 4. Solve -28 = -s*h + 9*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 18\/(-4)*(-4)\/6. Suppose 0 = o - v - 7, 28 = w*o - 2*v + 10. Suppose o*i - 61 = -q, -4*i + q + 55 = -4*q. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1083\/7 - 155. What is the biggest value in n, 5, -1\/40, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -97825 + 8804347\/90. What is the common denominator of p and 89\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = -3*o - 10. Let s(c) = -c**2 - 13*c + 14. Calculate the remainder when s(o) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110005 - 2*m**2 - 220011 + 110006 + 12*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -641164\/17, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -51, -89, -127, -165, -203?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(720)\/(sqrt(60)\/sqrt(5)) + sqrt(60))\/((sqrt(5)*3 + sqrt(5))*-2).\nAnswer: -sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 163115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the third derivative of t**7\/147 + 4*t**6\/105 + 3*t**5\/70 - 5*t**4\/42 - 8*t**3\/21 - 127*t**2. Determine k so that c(k) = 0.\nAnswer: -2, -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 89 - 85. Let g be 8\/24 + r\/(-18). Let q = 11 - 8. Which is the second smallest value? (a) g (b) -3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*y - 58*y + 28*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1854367 is divided by 100.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190798 is divided by 62.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -31*((-31720)\/(-1240) + -26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125 is divided by 3 + 3 + 3\/(-6)*34\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wc when two letters picked without replacement from {c: 2, m: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*p + 23*p - 22. Let r be (2\/p - 155\/(-55)) + -7. Let c(q) = 7*q + 2. Let w(o) = 3*o + 1. Determine r*c(i) + 10*w(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/2974 and -14*((-284)\/(-224) + 11\/(-77)).\nAnswer: 5948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.6, -0.5, -8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -41*a**3 + 40*a**2 wrt a.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -2*i - 205*i**2 + 3*i**4 - 210*i**2 - 2*i**3 + 2 + 414*i**2 as d*i**3 + o*i**4 + m*i**2 + a + u*i and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11.08 + -11. Let t = 0.02 + p. Which is the biggest value? (a) 2\/3 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -3, 47, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4907772 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**2 + 685536*n - 29372475456.\nAnswer: -4*(n - 85692)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2694482 (base 11) in base 5?\nAnswer: -2142201340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03168344 rounded to 5 decimal places?\nAnswer: -0.03168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 59 - 61. Let g = -0.33 + 0.03. Which is the smallest value? (a) -1 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from aqqyqaa?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 129*t. Let o(x) = -x + 5. Let k(i) = -2*i + 8. Let j(u) = -5*k(u) + 8*o(u). Give j(s(a)).\nAnswer: 258*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 13 - 3 = 0. Let z be (-20)\/(-16) + (-2)\/h. Let c = z + 11. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/16)\/(-3)*-22*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rffrkfryzrfi. What is prob of sequence yfif?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/(1\/(10\/55*6\/24)). What is the closest to -2 in -1, -15, -4\/7, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 14 = -4*w, -4*w - 3*l + 9 = -0*l. Suppose y + w = 2*y. Solve -3*q - y + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -210 (base 3) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 26*q**2 - 52*q - 355. Calculate f(23).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 368210564.00005 - 368186669. Let f = p - 23896. Let i = -1 - f. What is i rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y - a - 7 = 0, 5665*y - 5*a = 5661*y + 29 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of 3 + 1\/48*r**4 - 1\/160*r**5 + 0*r - r**3 + 0*r**2 + 1\/1440*r**6. Let o(f) be the third derivative of s(f). Factor o(i).\nAnswer: (i - 2)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-3*sqrt(33))\/sqrt(11)*2)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 503891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98667 is divided by 187?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -27 - -90. Let p = t + -30. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 43 + -38. Let c = -6 + 9. Sort c, m, -8 in decreasing order.\nAnswer: m, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 2 + 32. Let v = 561 + g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 573, 789, 1163, 1707, 2433?\n\"Answer: 2*g**3 + 67*g**2 + g + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 153991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.95 + 64.95. Let y = t - 63.6. Let d be 7\/(-35) + (-16)\/(-30). What is the closest to d in -7, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the third derivative of -2*h**7\/105 + 23*h**5\/60 + 11*h**2. Find the third derivative of t(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-18)\/48 - (-108)\/32. Suppose -3*k = -3*z - 213, -z = k + c*z - 61. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.85243 rounded to 2 decimal places?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4800*z + 4801*z - 1 = -3*g, 0 = -g + 5*z + 27 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38021140?\nAnswer: 2, 5, 53, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1*1 - 2\/2*-13. Suppose 2*o = -0*o + q. Let b be 3 - 6\/(-9) - (-2)\/o. What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004954855 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i\/(i\/(i*i**(3\/2)\/i)))\/(i**(-2\/3)*i)*(((i\/(i\/(i*i*i\/(i*i**5))))\/i)\/i)\/i**(1\/2) assuming i is positive.\nAnswer: i**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 296 - 106 - 81 - 89 - 7*p to r + c*p and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 8 = 4*i + 7, -3*i + 3*o = 0. Let d(l) = -64*l + 8. Let b be d(i). Suppose 9*p - 302 = b. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2322 - -2898. What is the lowest common multiple of 216 and k?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + 12 + z)*(-3 + 53*z - 194*z - 39*z).\nAnswer: -180*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1797 + -1795. What is the fourth biggest value in 0, h, 19.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i + 15. Let p be z(12). Let l be (-1 - -391)\/(p\/14). What is l rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-4) + (-220)\/240.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 27559*s**3 + 635*s**2 - 635*s. Let n(r) = 130*r**3 + 3*r**2 - 3*r. What is 635*n(p) - 3*y(p)?\nAnswer: -127*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of -4 + 3*q**2 - 1\/4*q**4 + 16\/3*q**3 - 31*q. What is the units digit of r(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -531.511 - -532. Let l = -36209 + 36209.089. Let h = l - f. Sort -2, -2\/11, h.\nAnswer: -2, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 605648.\nAnswer: 2, 37853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s + 212*s**2 - 28*s**2 + 2*s.\nAnswer: 184*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h + 2*h**3 + h**2 + h)*(-222*h + 253*h + 358*h) to the form x + t*h**3 + z*h**4 + u*h**2 + l*h and give t.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/28 - 99\/(-21). Let i(h) = -3*h. Let l(q) = -4*q. Let d(k) = w*l(k) - 6*i(k). Let y(p) = 4*p - 3*p + 4*p. What is d(y(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is q in q**4\/5 - 66*q**3\/5 - 612*q**2\/5 + 13608*q\/5 - 46656\/5 = 0?\nAnswer: -18, 6, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 35*i + 32 = 34*i, 0 = d - i - 8. Let a be 5\/2 + (-1)\/(-2). Factor k - 4*k**a - 4*k**2 - d*k - k**3 - 6*k**2.\nAnswer: -5*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (34*16\/1088)\/((-1)\/34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*20\/70 - 438\/(-7). Is 60 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74039462671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*p - 348 = -228*p + 127*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1235.52 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i = -11*i - 60 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.056347 and 0.04.\nAnswer: 0.096347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 83960641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*c + 2*c + 35. Suppose 4*k + 3*g + 27 = c*k, 0 = -4*k - 5*g + 18. Solve 0 = 2*v - 5*r + 8, v = -3*r - k + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in thirteen ninths of a hour?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2468 + -1726. What is the common denominator of 37\/10 and 55\/o + (-35)\/(-245)?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3961980 and 8180755.\nAnswer: 883521540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 3)*(-2*v + v - v)*(-28671*v + 28671*v - 226*v**4).\nAnswer: -452*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 2*n**2 - n**2 - 5*n**3 - n**3 + 2*n**2 as x*n + s*n**3 + w + q*n**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 9, j: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(-6)*18 + 2. Let b be 1 + (4 + -4 - a\/28). What is the fourth smallest value in b, -5, 1, 7.6?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**2 - 10*n - 6. Let z be 8\/(1 + 1 + -3). Calculate the lowest common multiple of 1 and x(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 93.2.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/192 (b) -9\/25 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 113 divide 2712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 4*b - 1500 = -5*t, -b = 2*t - 1494. List the prime factors of t.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-14)\/(-2)*3\/(-3). Let i(d) = -d**2 - 7*d + 9. Calculate the remainder when 26 is divided by i(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2 + 172*f**2 + 271\/2*f + 69\/2*f**3 = 0. What is f?\nAnswer: -4, -1, 1\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, 0, -23 in increasing order.\nAnswer: -23, -21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 51868138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 8*y = 18. Let j be 2 + (2 + -5 - y). What is the greatest common divisor of j and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 348351.89535 + -348363. Let t = h - -11.1. Round t to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 46 + -46.000034. What is h rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 611616, 1223199, 1834782, 2446365?\n\"Answer: 611583*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 67868 by -67868.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 37.71106 centuries?\nAnswer: 45253.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3760992 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 372 = 390. Is 501\/p - 22\/44 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 320 - 30733\/96. Calculate the common denominator of -71\/12 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*(t*t**(2\/9))\/t*t*t*(t\/t**(-5\/2))\/t)**(7\/3)\/((t*t**(-1\/2))**(-24))**40 assuming t is positive.\nAnswer: t**(26641\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 - -1)\/(2 - (-1675)\/(-835)). Let o = c - -113. Are o and -53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -46269 divided by -15423?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -117 - 14. Let x = s + 136. Solve 2*r + 2 = x*z - 19, 0 = z - 3*r - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -303*a - 984*a - 545*a + 1 - 3.\nAnswer: -1832*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -104 - -69. Let a = 34 + n. Let g = 1.9 - 2.4. What is the second biggest value in -2\/9, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-18) - 2\/(-6))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 164*y - 57*y - 74 - 44*y - 52*y. What is the tens digit of a(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1246256812.\nAnswer: 2, 1361, 228923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.21414712 from -0.4232.\nAnswer: -0.20905288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(2*5*sqrt(68) - 3*sqrt(68)*5))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 7*n + 47. Let f be c(-6). What is the third derivative of 1259*w**f - 36*w**2 - 5*w**2 - 1240*w**5 wrt w?\nAnswer: 1140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**2\/2 + 5652*o - 33939\/2.\nAnswer: 3*(o - 3)*(o + 3771)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 4*t - 244 = 0, -2*t = -2*g + 36 + 82. Calculate the remainder when 117 is divided by g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(76)\/sqrt(4) + 1))**2.\nAnswer: 72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2510, 6\/145 in increasing order.\nAnswer: -5, 6\/145, 2510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -103 - -102.97. Which is bigger: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73 = -4*z - 25. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28) - (sqrt(1372) - sqrt(1372)*-1))**2 + (sqrt(847) + 0)**2 + -4.\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35*t**3 - 11*t**3 + 53*t**3 - 1 - 29*t + 26*t to a*t + x*t**3 + v*t**2 + z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-53 + 52) - -76.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4815 times 0.029?\nAnswer: 139.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 + 5*v**2 - 5*v + 6. Let h be n(-6). Suppose h = 3*r - x - 5, 1 = r - x. Suppose 9 - 3 = r*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -978, -1937, -2898, -3861, -4826, -5793?\n\"Answer: -p**2 - 956*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, b: 5, f: 4}. What is prob of picking 1 x and 1 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that 4*z**3 - 2198*z**2\/5 - 1334*z\/5 + 884\/5 = 0.\nAnswer: -1, 2\/5, 221\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**3 + 14*h**2 - 14*h + 14. Let w = 57 - 44. Calculate the remainder when (1 - (2 + -2)) + 0 is divided by x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1416)\/(-8))\/(18\/(-4)). Let b = 39 + p. Sort b, -2, -1\/6 in descending order.\nAnswer: -1\/6, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*c + 2839 + 241. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 19b451 (base 12) to base 9\nAnswer: 763247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.895992 millimeters to meters.\nAnswer: 0.000895992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 3 = -b, -2*p + 2*b + 13 = b. Suppose 0 = -4*o - 2*y - 6, -3*y - 4 = 5. Solve -2*j - 13 = 3*s, p*j + 4*s + 26 - 2 = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (55\/(-2))\/(4*30\/(-48))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2057)*-6*-5*-5*3)**2.\nAnswer: 416542500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12452, -25040, -38014, -51566, -65888, -81172, -97610, -115394?\nAnswer: -134716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*z - 54 = 43*z - 1674, -7*m - 4*m + 10 - 11 = 2*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3042.745mg to micrograms.\nAnswer: 3042745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(133)*2 + sqrt(133))*6 + sqrt(133) - (sqrt(133) - -1*sqrt(133)*2)))\/(2*(sqrt(252) + sqrt(252)*2) - (sqrt(252)*-2*-1 + sqrt(252))).\nAnswer: 16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 - 8*l**2 + 5*l - 11. Give q(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*c + 23*c + 33*c + 26*c - 145*c + 32*c - 3*c**3 + 129*c**2.\nAnswer: -3*c**3 + 129*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 0*m + m + 0*m. Let y(c) = -6*c**2 - 2*c + 2. Let z(k) = k**2 + k - 1. Let r be (-2)\/(-2) - (-4 + 3). Let f(i) = r*z(i) + y(i). Give f(d(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 36 = -20. Suppose 0 = -l + i*l. Suppose 4*r - f - 445 = l, -r - f + 68 = -42. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*q**3 + 245*q**4 + 29*q - 8*q**3 - 240*q**4 - 5*q + 14*q**2 in the form y*q + j*q**3 + m*q**2 + h + d*q**4 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 52 - 15. Let u(d) = -785*d + 46314. Let r be u(59). Which is the second smallest value? (a) r (b) -1\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 2*h + 52, -5*h + 31 = -4*u - 7. What is the least common multiple of 16 and 2 + 0 - 0 - u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7504468 and 2185.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -312733 = -37*z + 102666. List the prime factors of z.\nAnswer: 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-120)\/70*(-203)\/87?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 9:14 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/5 - (-308)\/(-55). Let g = -15 - -24. Is ((-741)\/g)\/(2\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -31 in -51, 0, 3, 2\/15?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2154374446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -aed + -1?\nAnswer: -aee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 78 + -14. Let k be (-11 - -5)*(-29)\/(-3). Let s = r + k. Solve s*i = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllryyylly. What is prob of sequence lrl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 42440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 20 + -5 + -2 + -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19087 divided by 75?\nAnswer: 19087\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 120514478 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -44*t - 262. Let u be s(-6). Let k(d) be the first derivative of 16 + 7\/2*d**u - 7*d. What is the first derivative of k(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 6 = 1. Suppose -3*o - n + 7 = 0. Solve 2*i + o*i - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 + 2 = 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h = 3*h + 60. What is the lowest common multiple of 2 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*v = 19*v - 2*r + 6, -5*r = 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**2 - t**2 - 2*t**2 + 3*t**2 + t**2 + 8*t**2 + (-3*t + t + 0*t)*(0*t - 3*t + t) + (-3*t + 0*t + 4*t)*(5*t + 5 - 5))*(2*t**2 + t**2 - t**2).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 50784 by 6348.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 500.5 - 500. Let k = -2.96 + -0.04. Let b = -3.3 - k. Sort b, 2, r in descending order.\nAnswer: 2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 - 9*c + 13. Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 - 6. Suppose 5*g = -3*z + 12, -g + j*z = z - 2. Let i be g\/12 - (-60)\/16. Solve -i*d + 2*d - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-502810)\/(-3234) - 155)\/(100\/(-112))\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiwieiiiziiwi. What is prob of sequence ei?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 161\/2787?\nAnswer: 161\/2787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 28.123 to 0 decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**15\/a*a)\/(a*a*a**(-1\/49)) assuming a is positive.\nAnswer: a**(638\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -417*o + 375*o - 294 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2091149970 rounded to the nearest 1000000?\nAnswer: -2091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**2 - 7*v - 7. Determine t(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6059454847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 + 31 - 5) + -18 + -15 + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -545, -2166, -4865, -8642?\nAnswer: -13497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (186\/24 - 6) + (-1)\/2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-4))\/(18\/108). Suppose -2*f - 4*b + 2809 = o*f, 4*f = 3*b + 2272. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1958.999999408 + -1959. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 3*y + 79084 = 0, -4*m = -2*y - 43556 - 19698. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of -y**4\/4 + y**3\/3 - y**2\/2 + 3*y - 229. Let n(a) = -a**2 - 1. Calculate -h(g) - 3*n(g).\nAnswer: g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 179*o - 11 = 5*i + 181*o, -5*i - 136*o - 1759 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - 0) + (-1)\/(-2). Let i be (-8)\/2 + -56 + 61. Which is the smallest value? (a) j (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -132 - -130. Let o be 0\/12 - (-4 + 2 + j). Suppose 45 - 37 = o*l. Solve l*m + 4 - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/522 and 49\/8?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -29 and -1266280?\nAnswer: 36722120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 0*s**2 - 39*s**2 + 6*s**2 - 2 as b*s**2 + x + q*s and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 29, -4, -43, -76, -91, -76, -19?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -5*d + 30140, 176*d + 24123 = 180*d + n. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.03 + -1.97. Let u = -0.18 + 1.18. Which is the closest to -0.1? (a) l (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*n - 717 = -357 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115*a**3 + 65790*a**2 - 9542400*a + 37908320 = 0. What is a?\nAnswer: 94\/23, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 42\/115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/170 and 47\/25685?\nAnswer: 873290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of -o**5\/20 - 3*o**4\/4 - 11*o**3\/6 - 5*o**2 - 18*o. Suppose 6*a + 40 = a. What is the remainder when 24 is divided by q(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the second derivative of -7*q**3\/6 + 5*q**2\/2 + 8*q + 1. What is r(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1)\/(i**(-13)*i))\/(i*i**30*i\/(i\/(i\/(i\/(i\/(i**35\/i))))*i)))**(23\/3) assuming i is positive.\nAnswer: i**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 1)*(7866931*t - 7866938*t - 46 - 112).\nAnswer: -7*t - 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*h*r**3 - 10*h*r**2 - 1336116*h*r - 36043*r**3 + r + 220 wrt h?\nAnswer: 3*r**3 - 10*r**2 - 1336116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4848 + -4833. Which is the fifth biggest value? (a) 1 (b) 3 (c) -0.1 (d) 0.1 (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f - 5. Let i be q(-4). Let r = -7945 + 7949. Put -1, i, r in descending order.\nAnswer: r, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-72)\/(48*(-54)\/(-648)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.09 + -0.49. Let l = -81.75 + 82. Let c = -0.35 - l. What is the closest to c in 1, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*k - 2, -5*x - 36 = 2*k. Let u(d) = 8*d + 47. Let i be u(x). What is the remainder when 62 is divided by i\/(-1) - (3 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + w - 4 = 0. Let u be (21\/(-9) + 2)*3. What is the closest to u in 0.4, 4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -146*j**5 + j**2 + 48 wrt j.\nAnswer: -8760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 7*o - 11. Let k(d) = -2*d + 4. Let j(s) = h(s) + 3*k(s). Let p(m) = -m - 13. Let t be p(-13). Give j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10444940041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2 - -249) + (1 - 2). Let j = u + -2457\/10. Calculate the common denominator of j and 6\/(-21) - 561\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (6 - 0) + (-3 - (0 + -1131)). What is the greatest common factor of 42 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24c526 (base 14) in base 15?\nAnswer: -19e46e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -662, -721, -778, -833, -886, -937, -986?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -150 = -8*l + 3*l. Let v be 125\/l + (-2)\/12. Put v, -5, 5 in descending order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 127 divided by -3693\nAnswer: -127\/3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -59? (a) -2\/21 (b) 2 (c) 2\/11 (d) 17 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -5 + 1. Let p be 6\/(-81)*-3 - (12 - 1796\/18). Suppose -q*u - p = -6*u. Calculate the smallest common multiple of 100 and u.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15945 - 17766 = 1338*t + 403*t - 40123 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 691f (base 16) to base 11.\nAnswer: 19245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(77) - sqrt(77)*3) + sqrt(77) - sqrt(77)) + sqrt(77))*6 - (sqrt(77) + -2*sqrt(77)*2))\/(2*sqrt(112) + sqrt(7) + -4*sqrt(63)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v**8*v)*v)\/(v**7*v*v))\/(v**(-10)*v**4) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**2 + 3*r**2 + 2*r**2)*(65*r**3 - 2*r + 103 - 103).\nAnswer: 65*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -2*d + 6. Let k be (0 - 6)*2\/(-4). Suppose 0 = x - k - 0. Let b be c(x). Solve -3*r = -b + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/3 + 12\/18. Solve j + k*j = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 3 = 7. What is the third derivative of 268*a**2 - 281*a**2 + r*a**4 - a + a wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 12) in base 14?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 311331011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204 is divided by 154.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 242 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3380a (base 11) in base 13?\nAnswer: 19341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**2 - 17*v - 29. Let z be o(-15). Let l be z\/(-6) - (2\/(-12) + 0). Let i = l - -2. Solve -n + 4 = i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -1 (c) 418 (d) 2\/5 (e) -227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.3 and 3042219?\nAnswer: -6997103.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 14 + 5*q**3 - 8 - 12 + 4*q. Let t(k) = -k**3 - k + 1. Suppose -2*f + 0 = 2. Calculate f*o(a) - 6*t(a).\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be -6 - 12 - (1 + 2). Let n be (-980)\/l - 4\/6. Let v = n + 127. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69 = -10*j + 79. Let r(v) = v**2 + v - 1. Let t(n) = 2*n**2 - n + 1. Determine j*r(y) - t(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -5945649 and -4.\nAnswer: 23782596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 28\/(-8)*(-4)\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -651156 < 519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 63, 54, 41, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -5 + c**2 + 5 + (-c + c + 2*c)*(5 - 6*c - 5).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -93\/25?\nAnswer: -93\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -225722*i**2 + 4*i - 3*i + 225590*i**2 to the form x + p*i**2 + o*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1127 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -23, 7, 120, 68, 3 in ascending order.\nAnswer: -23, 0, 3, 7, 68, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 617 or -1471?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -8, -2*i - 4*s + 502058 = -107308. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 427719441 or 427719439?\nAnswer: 427719439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -2*p**2 - 28*p + 13. What is the remainder when j(-12) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 + 149*w + 63843. Give k(337).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/236 and -9\/2.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 911*z**3 - 138*z**3 - 192*z**3 - 195*z**3 - 191*z**3 - 191*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.9 - -3.6. Let k = 1.9 + -1.4. Sort -2, p, k.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(99) - (-2*sqrt(11)*3)**2.\nAnswer: -396 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of p**5\/10 + p**4\/12 - p**2 + 387*p. Let l = 0 + -2. Determine k(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-2) - 2\/(-4). Let m be ((-4)\/(-3))\/((-4)\/18). Let a be (-2)\/m*(-81)\/18. Put t, a, -3\/5 in descending order.\nAnswer: t, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -510 divided by -765.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 104 = -0*l + 4*l, -w - 51 = -2*l. What is the highest common divisor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 6, 10, 1\/51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-530 - -625)*(-6)\/15.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1377 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 7}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -60.5 in 1, -0.3, 3\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, a: 2, w: 5}. Give prob of picking 3 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = i + 217. Let s = 42 - i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 39*x + 41*x)*(-12 - 50 + 18 - 16).\nAnswer: -4680*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Solve -4 - 1 = -j - i, 5*j = 2*i + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -160443 - 2?\nAnswer: -160445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = 14*v - 9*v + 15, -1 = 3*a + 2*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 25 - 10, -2*n + 2*z + 578 = 0. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1646)\/(-30) - 10\/(-75). Suppose 1 - b = -3*f. Let n be ((-11)\/(-2))\/(f\/180). What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/18 and -83\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = -r - 2*r + 5*r - 28, -r + l = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 15) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = v - 4*u, 3*v - 4*u = 4*v - 14. Let r(x) = -x**3 + 4*x**2 + 5*x + 3. Let z be r(5). Let k(y) = -y**3 - z - 2*y - 2*y - 3*y**v + y**2. Give k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -897475 less than -22909.452?\nAnswer: 874565.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 + 7*x**2 + 11*x - 5. Let q(b) = -3*b**3 + 13*b**2 + 21*b - 12. Let r(a) = -5*o(a) + 2*q(a). Give r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -11704, -5, 127 in ascending order.\nAnswer: -11704, -5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -2966 by -83.\nAnswer: 2966\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*n + 14*n = -76. Let c(i) = -2*i**2 - 8*i + 17. Let f be c(-8). Let d = f + n. What is the highest common factor of d and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 + 12*x**2 - x - 7. Let c be w(-12). Suppose v = 4*z - 1 - 14, -c*z = 4*v - 3. Suppose 0 = z*s + 9. Is s at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**2 - 2. Let d(m) = m**2 - 10*m + 7. Let f be d(9). Let g(i) = -4*i**2 - 7. What is f*g(w) + 7*o(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1629, -2, -3 in decreasing order.\nAnswer: 1629, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2566*b - 1060*b + 4693*b + 1575*b - 493*b)*(-2*b - 4 + 4).\nAnswer: -14562*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2703*z - 1997 + 521 - 9336 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (3 + (0 - 6))\/((-3)\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/75225 and 71\/15300?\nAnswer: 902700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -8 + -466?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0\/((-2)\/4 - 15\/(-6)). Let n(o) = 5*o**2 - 5*o - 150. Let s(t) = 11*t**2 - 11*t - 300. Let g(j) = -13*n(j) + 6*s(j). What is the tens digit of g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 32 - 76 = 0. Calculate the remainder when u is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -3*f - 4*h, -2*f + 4*f - 5*h = 42. Suppose 4*z = -4*q + 36, -3*z = -f*q + 10*q + 13. Suppose -q - 60 = -10*n. Solve n = 3*c - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -7877, 4, -195.\nAnswer: -7877, -195, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*p + 8. Let g(u) = -u. Let z(i) = 2*i - 2. Let n(j) = 3*j - 3. Let v be (-4)\/8 - 14\/(-4). Let w(h) = v*n(h) - 5*z(h). Give p*w(f) + g(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3\/2, 47, 8\/5, 5, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 3*o + 2. What is the lowest common multiple of (-10)\/(0 - (o + 0)) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 126 = h - 3*x, 2*x = 4. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 144\/35 + -26\/7. Let t = 65.9 + -66. Which is the second smallest value? (a) -0.5 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 0 - 18*g + 1 + 1. Let n(q) = 10*q**3 + 345*q**2 - 168*q + 242. Let a be n(-35). Calculate o(a).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 6*p + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14764729, 29529456, 44294183, 59058910?\nAnswer: 73823637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22824 is divided by 7491?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-4))\/(130*172\/16770)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j**2 + 1539600*j - 296296020000 = 0.\nAnswer: 384900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5)\/(-2 - (2 + -3)). Solve 0 = -2*l - 2*z, 0 = -z - 4*z + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 2:39 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -11100101011010 (base 2) to base 8\nAnswer: -34532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*t**5 + 789*t**2 - 136*t + 121*t - 790*t**2)*(-4 - 6 + 4).\nAnswer: 42*t**5 + 6*t**2 + 90*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 2*g**2 - 5. Let c be z(-4). Let s = 31 - c. Calculate the remainder when s is divided by (-63)\/(-45) - (6\/(-10) - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from irrirririiriirirrrir.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -146633 (base 7) to base 8.\nAnswer: -70163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 24*v**2. Let x be n(-1). Suppose -2*j = s - x, 10 = -4*s - 4*j + 86. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (105 + 108 - 4)*(-3 + 6 - 1)*(-10*d - 8*d + 21*d + 2)*(-d + 0 + 0).\nAnswer: -1254*d**2 - 836*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 152159.\nAnswer: 7, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) 10\/3 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 19 = -48*k - 501, 2*k + y - 159 + 181 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -y - 3*y - 37, -4*a = 3*y + 29. Let p be 2 + a\/1 + 7. Solve -5*q - 18 = -3*b + 2*b, -5*b - 26 = p*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.08 + -1.28. Which is the third smallest value? (a) g (b) -4 (c) 9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 + -1. Let y be ((-4)\/15)\/(h\/10). Let w be 6\/(-15)*1\/(-2). Which is the closest to y? (a) w (b) 2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2069, -1187, -4443, -7699, -10955, -14211?\n\"Answer: -3256*y + 5325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8.01 - 8. Let x = -0.08 - w. Let s = x + 3.69. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 31 + -16. Let r = 36941\/6 - 6172. What is the common denominator of r and (-46)\/4*f\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/(-6) + 8\/12. Which is bigger: i or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73492459.\nAnswer: 41, 281, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9345982 and 13678?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -2) + (-7 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - s + 4*s = -54, 4*s + 56 = -4*g. Suppose -2*w + 129 = -3*m, -5*m - 3*w - 25 - 209 = 0. Let n = g - m. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -25667*o - 87. Calculate r(0).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b**(-2)\/b)*b*b)**(-7\/3)\/(b**(-6)*b**(-1\/8)) assuming b is positive.\nAnswer: b**(-133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6030 - -2?\nAnswer: -6025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = j + 12, 3*j = n - 0*n - 10. Let f = 10 + n. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3068511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2*h + 528, -2*c = -h - 7*c + 264. Let p = 308361 + -308337. What is the highest common factor of p and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4415124\/12863773 - 2\/76117. Is -1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the third derivative of n**9\/141120 + n**8\/9408 - 3*n**7\/980 + 67*n**5\/12 - 7*n**2 - 2*n. Let a(s) be the third derivative of t(s). Factor a(k).\nAnswer: 3*k*(k - 4)*(k + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -5*p - 38, -7*a + 4 = -3*a. Suppose -24*w - 150 - 18 = 0. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 221945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*a**2 + 4*a**2 - 4*a**2)*(-4*a - 5*a + 4*a)*(-3 - 1 + 2)*(-4 + 0 - 4) to c + f*a**3 + s*a + h*a**2 and give f.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**2 - 6*n - 3. Let v(t) = -t**2 - 7*t - 3. Let a(d) = -7*i(d) + 6*v(d). Let r(c) = -5*c**2 - 16. Determine -11*a(w) - 2*r(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 + 6*r**2 + 2*r + 13. Let o be a(-6). Let z be (-72)\/6 + o*2\/1. What is the units digit of (-55*z\/25)\/(2\/13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from vaaaavvvva.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 - 15. Let w(y) = 15*y - 1. Let u(p) = -22*p + 1. Calculate t*u(g) - 7*w(g).\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -337 or -334?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**3 - 12*c + 0*c**3 - c**2 - 8 - c**3 - 2*c**3. Let g be p(-5). Round g to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -43 - -29. Let k be (w + 0)\/2 + -2. Let j = 9 + k. Solve j*m + 4 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1763 - -1766. Solve 0 = -y*s + s + 5*o - 8, 0 = 5*s - 3*o + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 591 and 3349.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 9 + 6*x - 15 + 11 + 3 - x**2. What is the least common multiple of g(6) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1454*-16859\nAnswer: -2451.2986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + -1 + 7 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 12:34 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes after 3:07 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 19920339 >= 19920339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5\/3, 4, 173, -2\/7, 577, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 - 1. Let k = l + -11. Let u(b) = 3*b + 3. Calculate u(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6313090 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.07 (c) 164 (d) -1\/2 (e) 5 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 20\/7 - 3. Let a = -829 + 824. What is the closest to -0.2 in b, a, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.05, -0.5, 1\/6, -8, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 5*q + 3*b - 8*b, -2*q = 3*b + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1124 + 110505?\nAnswer: 106351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 82*n**3 + 4*n - 6*n + 2*n - 80*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand f**5 + 2*f**5 - 2*f**5 + 5*f**5 - 2*f**5 + 0*f**5 + (-f**2 - 3*f + 3*f)*(-2*f**3 - 2*f**3 + 2*f**3) - f - 417*f**2 + 210*f**2 + 227*f**2 + f**5.\nAnswer: 7*f**5 + 20*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 162 minutes after 11:50 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**6\/p)\/(p\/((p\/p**(1\/10))\/p)))\/(p**(-2)*p\/(p\/p**(-7))))\/((p\/(p\/p**(-1\/4)))**46\/(p**3\/p**(-2\/11))) assuming p is positive.\nAnswer: p**(1517\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/36)\/(42\/(-12) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 64 = -3*b - 49, 2*s + 4*b = 206. Let t = s - 106. Put 2, 4, t, -5 in increasing order.\nAnswer: -5, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 3*b**2 - 6*b - 5. Let a be s(5). Let y = -140 - a. Round y to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + 10. Suppose g - 111 = -b*s, 2*s + 4*g - 47 = 1. Solve 5*m - 3 = s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7 - (-216)\/32)\/((-99)\/528)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = 5*m + 100, -39 = 5*b + 4*m - 121 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 4 = 0, 4*p - 2*p + 3*c - 9 = 0. Let m be (-3 - p)*(-4)\/6. Solve -6*x - m = -12*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 21 = 3*f, 2*f = -2*f - 996086*a + 996082*a - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -15 - 230?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 84380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*l + 41 = 87. Let j(k) be the third derivative of 0*k**3 - 2\/75*k**5 - 1\/300*k**6 + 26*k**l - 1\/15*k**4 + 0*k + 0. Factor j(t).\nAnswer: -2*t*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5.8 + -6. Let x = u + 0.25. Let s = 0.05 + x. Which is the third biggest value? (a) 5 (b) s (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 199938387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.23 + 384.77. Let x = z + -384. Let n = 2 - -14. Which is the third smallest value? (a) -3 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - x + 2. Find the first derivative of -48*h**2 + 19*h**2 + 8*h**2 + x wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/12 and -57\/298.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2439022 and 317090.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 15 - 75 = 0. Suppose -m - 11 = -j. Let i = 1.5 + -1. What is the biggest value in -4, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = -33*t + 36 - 29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 135 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -16752, -33436, -50120, -66804, -83488, -100172?\n\"Answer: -16684*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + (sqrt(3) - (sqrt(3) - (sqrt(27)*2)\/sqrt(9)))*4 + 3 + sqrt(243) + sqrt(243)*-1 + 3)**2 + 3)*3.\nAnswer: 48*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -13 + -4 + -37 + 53\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (3 - 6) + (-5 + 7 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 130\/4 + (-1)\/2 and -33*(-42)\/(-18)*6\/(-21)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -15 and -0.03.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1132874614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1626.61192 - 1653.7192244. Let o = q - -39.107304. Let w = -12 + o. What is w rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.148, -2\/9, -2\/15, 18 in ascending order.\nAnswer: -2\/9, -2\/15, 0.148, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 5 + 0 - (1 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 2*g - 145872299 = 88204728, 0 = -3*g - 3. Let z be 9\/12 + (-315784779)\/(-12) + 6. Let r = s - z. Round r to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1178291mm in centimeters?\nAnswer: 0.01178291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 40536841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23221047 is divided by 5654?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**2 - w - 20. Let r be v(15). Let q = r + -114. Suppose -2*h + q = 2*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y - 11. What is p(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000044795 to 7 dps.\nAnswer: 0.0000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 6 - 3)*(-4*v**2 - v**2 + 3*v**2) + 9*v + 38*v - 198*v - 4*v**2.\nAnswer: -8*v**2 - 151*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 5.1111893 to 1 dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.07 - -0.15. Let u = 0.18 - z. Which is the biggest value? (a) u (b) 2\/15 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23 and 2783.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 55 - 50. Let y(x) = -5*x + i*x**2 - 4 - 5*x**2 + 3*x**2 - 4*x**2. Let g be y(-4). Solve 4*c + g*c = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v = -2.35 + 0.35. Which is the third biggest value? (a) 5 (b) v (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of 162*n**5\/5 + 92*n**3 - 144*n. What is the second derivative of d(u) wrt u?\nAnswer: 3888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 354205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -3*b - 4. Let j(s) = -s**2 - 3*s + 2. Let f be j(-4). Let d be p(f). Let v be (35\/28)\/(d\/40). Calculate the greatest common factor of v and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*z**2 + 30*z**2 - 13*z**2 - 3*z wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, v: 1, a: 7, t: 3, d: 7}. What is prob of sequence kdd?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is a in -294*a**4 + 11889*a**3 - 100260*a**2 - 59691*a - 3276 = 0?\nAnswer: -1\/2, -3\/49, 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*s**3 + 2*s**2 - 2*s**3 - 3*s**2 + (0*s**2 + 3*s**2 - s**2)*(4 - s - 4) to the form o*s**2 + w*s**3 + u*s + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 0*o - 5*o. Solve 3*d - 9 = -i - o*i, 0 = d - 2*i - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -3*h + 4*h - 138, -5*h + 15 = 0. Let p = -27 + q. Suppose -y + 47 = -p*x + x, -2*y = -3*x - 99. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 2*s - 16 = -s, 2*z = 2*s - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -56*k**2 - 6*k - 5. Let j be t(-5). Let v = -22059\/16 - j. Find the common denominator of v and 113\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the third derivative of 7*p**6\/12 - p**5\/30 - 23*p**4\/6 + 305*p**2. What is the second derivative of f(m) wrt m?\nAnswer: 420*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 150280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 3 + 9. Let s = v - -5. Suppose -w = -3*k - 17, 2*w + s*k + 0 = 2. Let q(y) = y - 4. Give q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 75 = -4*t, 3*x - 110 = -3936*t + 3941*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1896 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + (-79 + 93 - 12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3978, -7946, -11912, -15876, -19838?\nAnswer: -23798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 40049*y - 1. Let c(x) = -3*x. Determine c(i(m)).\nAnswer: -120147*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 875949*q + 14891142. What is x(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 71947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 8*j**2. Let n(x) = -256380*x. Calculate u(n(t)).\nAnswer: 525845635200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6486223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -1 (c) -872 (d) -15575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1020601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**2\/7 - 74246*w\/7 - 487600.\nAnswer: -(w + 46)*(w + 74200)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 8\/28 + 18\/(-14). Suppose 4*t + 3*a - 11 = 6*a, -4*t + 4*a = -12. Sort t, 2\/15, q in decreasing order.\nAnswer: t, 2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2760, -3, 2\/25, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -8df (base 16) in base 2?\nAnswer: -100011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 28\/13, 3 in increasing order.\nAnswer: 1, 28\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from knefkgepggnn?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000822509 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2. Let b(o) = -o + 1. Let n(g) = -7*g - 4. Let w(r) = -4*b(r) - n(r). What is w(t(f))?\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22628 + 55006. What are the prime factors of o?\nAnswer: 2, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by 8157.\nAnswer: 2\/2719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.10484 - 0.21484. Which is the second smallest value? (a) i (b) 22 (c) 0.2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/8*1\/(5\/2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 - 7*z**2 - 4*z + 4. Let r be 870\/225 + 2\/15. Suppose -l = -u + 12, -5*l - 3*u + r = 24. What are the prime factors of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 4578*b**2 - 27463*b + 5. Give q(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 0*u + 4*v - 116 = 0, -5*u - 3*v = -147. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 - 214 = -6*d. Solve -7 = 5*j - d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.5 (c) -5 (d) 2\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a (base 16) to base 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**3 - 25*x**2 + 24*x + 7. Let w be q(24). Suppose w*s + 2*s = 0. Suppose s = -14*p + 196 + 140. Solve -5*a - 5*i + p = 4, a - 4*i + 16 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/25*(-29)\/58.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-52)\/(-273))\/((2\/(-4))\/((-490)\/(-24)))\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97926 is divided by 1008.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 7903270 to the nearest ten thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 945, -2, 6820.\nAnswer: -2, 945, 6820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - 2) + -3 + (-9 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -321*o - 4. Let n(t) = 2*t - 1. Determine 10*n(w) - 2*x(w).\nAnswer: 662*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -4242110 (base 7) to base 8.\nAnswer: -1754774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-2) + (-3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 22*x + 41. Let c = -32 - -52. Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b**3 - 47 + 47 + 13*b**2.\nAnswer: -2*b**3 + 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30433 + 30615. Is n at most as big as 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 (base 12) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8.056 - 8.456. Put 8, -2, 9, k in decreasing order.\nAnswer: 9, 8, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -305 + 212. Let m = u - -94. Let l = -5 + 4. Put m, -4, l in descending order.\nAnswer: m, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18 - -14. Let i be 6\/w - 9\/(-2). Is 1\/(3\/(-2)) + 182\/i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 158303188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*v - 10*v - 42*v + (0*v + 0*v + 2*v)*(-1 + 3 + 0) + 3*v + 2 - 2)*(2 - 5 + 1)*(6*v**2 - 6*v**2 + 4*v**2)*(3*v + 3 - 3).\nAnswer: 1248*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-32)\/(-66))\/2*8140\/4440\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -40*d + 46*d + 2*d**2 - 4 - 15*d. Let q be z(5). Are 2\/363 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 2*z**4\/7 - 6034*z**3 + 10258026*z**2\/7 - 621305226*z\/7 - 90229356 = 0.\nAnswer: -1, 123, 20874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-672)\/380 - (75 + (-45666)\/590).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-27)\/(-12)*(-3396)\/2547\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 1. Let b(u) = -9 - 7*u**2 + 5 - 5*u**2 + 7*u**2. Give b(w) - 4*q(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1\/(-3))\/(8\/36). Let j be ((-1)\/2)\/(54\/(-12)). Sort c, j, -1 in increasing order.\nAnswer: c, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the first derivative of 3*w**5\/5 + w**4 - w**3\/3 - w**2 - 1. Factor v(u).\nAnswer: u*(u + 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 227 + -413. Let t be 6\/14 + u\/(-7). Suppose -5*d - 3*i = -100, 4*d + 2*i - 53 = t. Calculate the greatest common divisor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -0*i + 5*q - 4, -4*q + 5 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 s, and 1 c when three letters picked without replacement from {c: 1, b: 7, a: 10, s: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3 - 4851*f**2 - 745868*f + 750720.\nAnswer: -(f - 1)*(f + 160)*(f + 4692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*q = -5*q + 3276. Find the common denominator of 20\/28*q\/(-35) and 26\/23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -10\/257 and 7\/12450.\nAnswer: 3199650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + (sqrt(68) - 1*-2*sqrt(68)))*-3)**2.\nAnswer: -216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p = 3*w + 16 - 1, -p + 5*w + 37 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7802815222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4\/3 + 23*d**3\/3 - 22*d**2\/3.\nAnswer: -d**2*(d - 22)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*b + 199*b - 27*b)*(-2*b**2 - 5*b + 5*b - 2)*(3 + 3 - 5).\nAnswer: -372*b**3 - 372*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -104 + 107. Which is the nearest to -0.1? (a) 0.2 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*m**2 + 2280*m + 259920.\nAnswer: 5*(m + 228)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 1:53 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -o + 80 + 102 - 280 + 98.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-6)*p*p**(-1\/10))\/(p**0*p)**(16\/3))**(-20) assuming p is positive.\nAnswer: p**(626\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.11*-22666.219.\nAnswer: 2493.28409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 42*l**3 + 236*l**2 + 134*l + 20.\nAnswer: 2*(l + 5)*(3*l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 5 + 3)*(172*f**4 - 53*f**5 - 172*f**4).\nAnswer: -106*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 22748085 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 425066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1195723 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: Determine s, given that 1833*s**2 + 359334*s + 12936 = 0.\nAnswer: -196, -22\/611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 PM and 9:11 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 193*i**3 + 5 + 0 - 1.\nAnswer: -193*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 9:38 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**3 - 43*d**2 + 214*d - 117. Determine i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 272764 and 2937742?\nAnswer: 217392908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -561 = -4*r + 3*r. What is the greatest common factor of r and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*f*r**5 - 12*f*r**3 - 119*f*r + f + 3*r wrt r?\nAnswer: -80*f*r**3 - 72*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-11.2974.\nAnswer: -45.1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 10\/40103 and -63\/5.\nAnswer: 200515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -1\/4, -1.5, 9, -23.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 2046116?\nAnswer: -2046116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 27679974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Solve -33*i + 229 = -193 + 26 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5958364 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46537 - 93171 + 46634 - 681*i**2 + 753*i**2.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -5 + -4 + (-3 - -22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or -8213?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r - r - r**2 + 0*r)*(1 + 2 + 0) + (3*r - 5*r + 3*r)*(r + r + 0*r).\nAnswer: -r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 5*o - 6. Suppose -17 - 33 = -o*c. Suppose 0 = g - 2*g + c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 2)*2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (399\/1026)\/(14\/(-30))*(-3)\/20?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4013*n - 918 = 3962*n. What is the highest common divisor of n and 5382?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 16366, 16374, 16372, 16360?\n\"Answer: -5*i**2 + 23*i + 16348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -0 + 1. What is the remainder when 1 - (0 - n) - -22 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 9*n**2 - 11*n - 15. Let d be p(7). Factor 2*x**3 + 4*x**3 - 3*x**3 - 10*x - 2*x**3 + d*x.\nAnswer: x*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 + -3. Let m = 677 + -678. Sort j, m, -6.\nAnswer: -6, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*i - 74 + 223 - 74 - 75.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 10, 1, -4, -10, -63, 19 in descending order.\nAnswer: 19, 10, 1, 0, -4, -10, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - -1) + (8 - -1) + -8. What is the derivative of -4*y**2 - y**2 - 167 - z*y**2 - 140 + 3*y**2 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -200 by 50.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 318*a**4 - 15115*a**2*k**2 - 87*a*k**2 + 8155*a - 2*k**2 wrt a?\nAnswer: 3816*a**2 - 30230*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 2*v**3 + 4*v**2 + v - 3. Give y(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes before 9:10 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-70)\/(-98) + (-73432)\/(-56). What is the greatest common factor of x and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 799626662?\nAnswer: 2, 587, 681113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5872639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -28 - 14. Let f be -1 + m\/(-30) + 86996\/10. What is f rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 38128 = -5*j + 7*z, 2*j + 2*z - 15268 = 0. What are the prime factors of j?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 12*b**2 - 21*b - 39. What is the hundreds digit of c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + 49611264?\nAnswer: 49611268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k + 2*f - 50 = 0, 82 = -k + 3*f + 77 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + 19. Suppose 0*l = -l + 3. Suppose d - 121 = -5*q, 95 = -0*q + l*q - 5*d. Calculate the remainder when q is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/14 - 46\/(-14). Factor -9*g**5 + g**3 - g**3 - 2*g**s - 3*g**2 + 15*g**4 - g**3.\nAnswer: -3*g**2*(g - 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1861 + 1670. Which is greater: t or -2484\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(180))**2*-4.\nAnswer: -736 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 2, -0.07, -29, -0.9 in descending order.\nAnswer: 2, 0.3, -0.07, -0.9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(468) + -1*sqrt(468))*-2 + sqrt(468) + 4 + (-1*sqrt(468))**2 + -1.\nAnswer: 6*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-11)*g*g)**(3\/20)*(g*g*(g\/(g*(g**(-4\/13)*g)\/g*g))\/g)\/(g\/(g*g**(-1\/3))*g) assuming g is positive.\nAnswer: g**(-434\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - (-6)\/(-9)*-3. Suppose 6*f + 18 = -j. Let h(p) = 37*p**2 + 2*p + 4. Is h(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wq when two letters picked without replacement from wqo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12.70882 - 0.29118. Which is the biggest value? (a) d (b) 0.64 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1010111 (base 2) in base 5?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 36 = 4*v, -2*v + v - 2*b + 11 = 0. Suppose -30 = -v*x + 2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25, -38, -47, -52, -53, -50?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/42)\/(3\/(-9)*(-33)\/(-1947)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 17? (a) -3\/5 (b) 1\/2 (c) 0 (d) -4\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -26.02325007 to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -46*i**4 + 6*i**2 + 1131*i**3 - 1131*i**3 + 5*i - 6*i**4 - 5*i - i**3 + i**3 + 3*i**4 + (-3 + 4 - 2)*(5*i**4 - i**4 - 3*i**4) - 3*i**4 + i**4 + 0*i**4.\nAnswer: -52*i**4 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 9.5034 to two decimal places.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of -5*27\/((-5670)\/(-28)) + 70268\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3501, 17142, 39877, 71706, 112629?\nAnswer: 162646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 114 in 2, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (2*-1*6\/(-168))\/((-30)\/(-240))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -2*(sqrt(2) - sqrt(2)*-3) - (((sqrt(162) - sqrt(18))\/sqrt(9) - sqrt(2)) + -2*(sqrt(2) + -2)**2 + sqrt(2)).\nAnswer: -18*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/25 in -0.28, 2\/23, -2\/205?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00017931 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 1:24 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the first derivative of 5*v**2 + 4. Let f(m) = 2*m**2. Calculate f(l(o)).\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 22 = 3*w, 40721*w - 40716*w = x + 26 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6482328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 - 11*h + 31 - 2 + 30*h + 0 - 31*h. What is i(-16)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -114, -738, -2426, -5712, -11130, -19214?\n\"Answer: -89*i**3 + 2*i**2 - 7*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hvu when three letters picked without replacement from uhvuuuvuuuuuvuhouuu.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0006746459 rounded to 7 decimal places?\nAnswer: -0.0006746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wza when three letters picked without replacement from {q: 2, i: 2, z: 2, a: 1, w: 1, v: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is c + 14a12?\nAnswer: 14a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(64) + -2*sqrt(64))\/((sqrt(224)\/sqrt(4))\/sqrt(7)) + ((sqrt(6) + sqrt(6) + sqrt(726) + -3*sqrt(726))\/(2*sqrt(147)))**2.\nAnswer: -2*sqrt(2) + 200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 20 = -108*x + 112*x, 4*x - 20 = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2\/5 + 53805243*v\/5 + 53805246\/5.\nAnswer: -3*(v - 17935082)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 518, 1503, 3160, 5501, 8538, 12283, 16748?\n\"Answer: 2*w**3 + 324*w**2 - w + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 7*v + 746. Is k(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 1230523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95 + -88 - (18 - (-1 + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -15201, -16640, -19033, -22380?\n\"Answer: -477*o**2 - 8*o - 14716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -738*q = -429*q - 1180 - 5927 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 5*t + 56, 24*h - 22*h = 2*t + 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 10 = h - 16, 3*g = h + 9. Calculate the least common multiple of 10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -3*n**2 + 3*n**2 + n**2 + 5 - 8*n. Suppose t = -5*q + 38, 5*q - 2*q - 32 = 4*t. Let j be d(q). Solve -j*f = -r + 30, -3*r + 5*r = -f + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(-1\/15))\/(w**(-2\/15)\/w))\/(w**24*w*w**(1\/5)))**(-13\/3) assuming w is positive.\nAnswer: w**(4511\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times -82414\nAnswer: -8241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, e: 1, f: 1, y: 2, r: 1, w: 2}. What is prob of picking 1 r, 1 w, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1055246118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -2 + (14 - 10) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, -64, -141, -234, -349, -492, -669, -886?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 - 4*v - 5. Let a(t) = t + 1. Let l(q) = -5*a(q) - d(q). Let c be l(1). Which is smaller: 2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 - 18. Let a(r) = -4*r + r - m - 5 + 4. What is a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124*o = -22390 - 61434. What is the remainder when o is divided by 124?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.8036909969 + -0.04?\nAnswer: -4.8436909969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -w = -4, z + 4*w + 4861 - 4893 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-4) - 35\/(-40). Suppose 7 = 4*v - 5*g, -5*v + 73 - 63 = -5*g. Let r(w) = w**2 - 5*w + 5. Let u be r(4). What is the nearest to u in l, v, -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -16 (base 7) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -4, -0.2, 3, 2\/63, 0, 7.\nAnswer: -4, -0.2, 0, 2\/63, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -131033.2383 + 131026. Round b to 2 decimal places.\nAnswer: -7.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 28\/45 - 2\/9. Let o be (-40)\/(-42) + (-2)\/3. Put o, y, 0.3 in descending order.\nAnswer: y, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0\/11)\/(2*-1). Let 0*x + 0*x**3 - 2\/11*x**4 + 2\/11*x**2 + a = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -69.0923 and -8.\nAnswer: 552.7384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (6 - (6 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 + 245*l**2 - 391*l + 25490. Calculate n(-247).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 28 - 111\/4. Let c = -0.03 + -0.27. Let d = 0.2 - c. Put -3, d, f in increasing order.\nAnswer: -3, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.4 + 0.3. Let h = 0.0972 + 0.1028. Which is the closest to h? (a) -0.2 (b) -1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the third derivative of t**6\/120 - t**4\/12 + 5*t**3\/6 - 2083*t**2. Let s(x) = x**3 - 3*x + 5. Give -2*s(a) + 3*w(a).\nAnswer: a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + 5. Suppose -3*s = 1 + 11. Let g = s - -8. Solve 0*n - p*n + 4*m = 12, -2*m = -2*n - g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2473, -4800, -7127, -9454?\nAnswer: -11781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -13562 + -3614?\nAnswer: -20506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1953669 (base 10) to base 11\nAnswer: 1114903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -71396416 divided by 1456.\nAnswer: -49036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 333474259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together -3 and 277.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*j*o**3*p + 12*j*o**2 - 60*j*o - j*p**3 - 994*j*p**2 + 2326*o**3*p**3 + 11*o**3*p - o**2*p**2 - 2*o*p wrt o.\nAnswer: 30*j*p + 13956*p**3 + 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-3 - 2)*(-344185)\/266. Let m(c) = -37*c - 37. Let h be m(-8). Let f = l - h. Is f greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.07 + 6.07. What is the nearest to -1 in t, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 - 9. Suppose -12 = -5*w + 4*m, 0*m - 2*m = -4*w + 6. Suppose w = -0*d - 2*d + 4. What is the remainder when j is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.953 + 0.047. Suppose -58 = 17*v - 7. Which is the fourth smallest value? (a) v (b) f (c) 0.1 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*x - 10*x + 17 = 6*x - 3*k, 2*x + k + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -2*p**4\/15 + 14153144*p**3\/15 - 11128412692896*p**2\/5 + 8750100264750253152*p\/5 + 17500245043189019616\/5 = 0.\nAnswer: -2, 2358858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 36123103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 658, -3, 11, 6.\nAnswer: -3, 6, 11, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -74*k + 335. Is v(-42) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -561 - -561. Let h = 0.3 + -0.4. Let t = h + -4.9. What is the smallest value in t, w, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 34812, 69625, 104364, 138993, 173476, 207777?\n\"Answer: -6*b**3 - b**2 + 34858*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 46, -1038, 3, -5 in increasing order.\nAnswer: -1038, -5, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be 106688*(-7 + (-5)\/(90\/999)). Round y to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*l + 9*l - 4*l)*(-115 + 946 - 185 + 427) in the form j*l + m and give j.\nAnswer: 7511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 157 - 109. Suppose 8*b + c = 11*b. Let p be 0*(-2 + 2*12\/b). Solve -2*w + 3*y = p, -3*w + 0*y - 11 = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 19 = 4*u, -4*u = u - 4*r + 16. Let i(v) = -v + 1. Suppose -5*h = 3*s - 3 + 10, 4*h = -4*s - 4. Let z be i(h). Sort 4, z, u in increasing order.\nAnswer: u, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of -w**4\/12 - 304*w**2 + 4*w. Let l(v) = -4*v**2 - 2. Calculate c(l(x)).\nAnswer: 8*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fozuh. Give prob of sequence fo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (108\/(-24))\/(1\/(-2)). Suppose -2*y = -q + 1. Let b(r) = -r**3 + 3*r**2 + 2*r + 1. What is b(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5918 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0.079, -2\/5, -3 in decreasing order.\nAnswer: 0.079, -2\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 9*m. Let l(y) = 5*y. Let i(a) = -6*g(a) + 11*l(a). Let u(r) = -12*r. Determine u(i(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (1587*s - 1001 + 1001)*(3*s**2 + 0*s - 2 + 2*s - 2*s**2).\nAnswer: 1587*s**3 + 3174*s**2 - 3174*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f - 2*f - 2*f + (-4*f + 3*f - 2*f)*(-1 + 4 - 1) + 2*f - 6*f + 2*f + 2*f - 1 + 1 as c + q*f and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4719, 7354, 11747, 17898, 25807?\n\"Answer: 879*n**2 - 2*n + 3842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2855 and 7?\nAnswer: 19985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 4*f = 2*d - 36, f - 14 = -2*d. Let t be 51 + 0 - (2 + -1). Suppose -c + 2*c = 4*h + 10, -d*c + t = -4*h. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 834 and 2?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 193 + -189.92. Let n = m + -1.11. Let b = n - -0.03. Sort -2\/3, b, 3 in ascending order.\nAnswer: -2\/3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*o + 181 - 853 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21032 + -34?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -5, -0.8, -102?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 - 20*s + 289. Determine t(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + o = 0. Let x = 80338 + -80326. Solve o = 6*h + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12469 and 1147?\nAnswer: 386539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 7*x - 23. Let n(w) = w - 1. Let m(z) = -b(z) + 6*n(z). Let y be m(12). Suppose y*k = 3*h + k - 87, -16 = -h - 3*k. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26291809?\nAnswer: 17, 811, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.107 + -7.227. Let s = g + 0.12. Let x = -7.4 - s. What is the second biggest value in -4, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirteen sevenths of a week?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -15710888?\nAnswer: -15710886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -16 + 27. Suppose -8*g = -a*g + 339. What are the prime factors of g?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5390 - -5352. Which is smaller: d or -2\/451?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -6773*a - 172. Let k(o) = -6775*o - 143. Give 6*k(j) - 5*s(j).\nAnswer: -6785*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 8 = -k. Let j(q) = 1 + 0*q + 2*q - 4 - 4. Let y be j(5). Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12164452 is divided by 91.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i = -4*i - 5*c + 11, 3*i + 37 = -2*c. Does i = -80\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -753207 divided by 39\nAnswer: -19313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -4*l - 32, h + 4 = -0*h - 3*l. Suppose h*w = 17 + 8. What are the prime factors of (w - (0 + 4))\/(1\/83)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164568310 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be -4 - (-441)\/54 - 5. Which is the biggest value? (a) m (b) -0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 390 is divided by 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/11 (b) -6 (c) 3312\/7 (d) 1\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-13 + -2 - -21) + -21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 22*b + 38. Let j be v(-3). Let d = j + 30. Solve d*z + g = 3*g + 6, -5 = -3*z + 2*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - (8 - 3\/(-2)))*(0 - 20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 AM and 5:16 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 - 5*f**2 - 10*f - 6. Let l be v(-6). Suppose 0 = 4*r - 30 - 10. What is the highest common divisor of r and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -107 - -111. Suppose 2*p = 3*i + 4319, r*p - 2*i + 4*i - 8646 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 - 3*q**2 + 5*q + 2. Let k be a(-4). Let v be (-3 - (0 + -1)) + k\/1. Sort 0, 34, -1, v in descending order.\nAnswer: 34, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from yobynoii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**3 + 6*w**2 - 18*w - 12. Let z be b(-8). Let t be 20\/175 - 2\/(-7). Let j = -7 - -7. What is the nearest to j in z, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 5*p**2 + 1. Let y(u) be the second derivative of -u**3\/6 - 5*u**2\/2 - u. Let b be y(-4). List the prime factors of d(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 375891913.\nAnswer: 17, 22111289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 - 8.16. Let g = 0.3 + h. Let o = -230 - -229.5. Sort g, -2, o in decreasing order.\nAnswer: g, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 0)*-3 - 0. Suppose q*n = 8*n - 25. Suppose -2*r + r - 94 = -n*t, -r - 37 = -2*t. Calculate the greatest common factor of 190 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**2 - 271*l**3 + 261*l**3 + 4*l**2.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k + 2*k + k)*(-k + 2*k + k) + 0*k + 0*k - 2*k**2 + (3*k + 0*k + 0*k)*(-136*k - 117*k + 9*k) - k**2 - 5*k**2 + 4*k**2.\nAnswer: -738*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of x**5\/20 - x**4\/3 - 5*x**3\/6 + x**2\/2 - 2*x. What is the units digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 261669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - 2*z - 3402, -2*z = -4*k - 2331 - 1067. Let h = -846 - k. Solve -h = t - a, 0 - 9 = 2*t - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 3*f**2 - 3*f - 1. Suppose -5*v + 5*m = 5, v - 2*m + 1 = m. Let j be w(v). Solve j = -2*k + d - 10, -4*d + 7*d - 20 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x + 368. Let j be i(0). Suppose -j = 12*q - 16*q. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1064 + 4?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.15 - -0.45. Which is the third biggest value? (a) -1 (b) -4\/5 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 467 + -52. What is the common denominator of (n\/(-70))\/(0 - -1) and (-1134)\/1161*6\/(-8)?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 9463*c + 17. Let g(i) = 23660*i + 41. Calculate 12*f(o) - 5*g(o).\nAnswer: -4744*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 134 and 16817?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6276 in -7, -0.5, 3, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1497987 divided by -2943?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1309 and 1904.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mefd when four letters picked without replacement from {d: 5, m: 5, e: 1, f: 1}.\nAnswer: 5\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -35*f**2 + 1. Let y be c(-1). Let a = y - -34. What is the hundreds digit of -1 + a - 1075\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 6*r + 40. Let k = r - -8. Suppose k*f + q = -f - 22995, 2*q = -5*f - 114990. Round f to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -488*d - 142727 = -125647 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 + 12*q + 6. Let f(p) = -23*p - 12*p - 3*p**2 - 17 + 6*p**2 - p**2. Let a(x) = -6*f(x) - 17*t(x). What is the second derivative of a(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -111588+-0.4\nAnswer: -111588.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 1\/10, 5, 27?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 8, x: 1, n: 1, b: 2, q: 3, s: 5}. What is prob of sequence sb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/7, -2, -0.3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1647165 and 0.002.\nAnswer: -0.000329433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5462.2 - -4858. Let k = o + 595. What is k rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 416 - 153. Suppose -4*z + s = -a + 6*a, 5*a = -5*z + 265. Does 17 divide ((-2)\/(-2))\/(1\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 5*t - 1. Determine c(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(84)*-2 - sqrt(84)) + (sqrt(84) - -2*sqrt(84) - sqrt(84))*-5)\/(-6*(sqrt(84)\/(sqrt(77)\/sqrt(11)) + sqrt(12) + sqrt(12))))**2.\nAnswer: 1372\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-42)\/(-9))\/(1\/3). Let y = -10 + x. Suppose 0 = i - 0 - y. Which is bigger: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36784077 and 894.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 11 - 2*t - 2*t**3 + 10*t + 27*t**2 + 5*t. Let x be g(14). What is the units digit of (39\/4)\/(x + 150\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 853549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 + -6. Let x(r) = 14*r**2 - 2*r + 1. Is x(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 6*m**2 - 7*m - 7. Let o be y(-1). Solve o*r + 7 = 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1, 0.7, 1, 10\/91 in decreasing order.\nAnswer: 1, 0.7, 10\/91, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h**5 + 5684670*h**4 - 1615762281045*h**3 - 6463140079220*h**2 = 0 for h.\nAnswer: -4, 0, 568469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 310512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z. Let v be 0\/(3 - -1) + -9. Let h = 17 + v. What is the smallest common multiple of h and i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 647859 a multiple of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - -27948213?\nAnswer: 27948213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 68257913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2785 is divided by 693?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {l: 5, c: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 12 = 3*c + 6, 0 = -c - 4. Solve -4*q + 3*q + p - 2 = 0, -u = q - 2*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 0*d + 6 - 8 = -3*a - 8, 1768*a + 1618*a = -4*d + 6784 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6\/7 in 0.1, -3, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 b when three letters picked without replacement from bbbbbbkbkbbkbbb.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 226 divided by -285\nAnswer: -226\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 411 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h - 20 = -10*h. Is -47*(h + -3)*3\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1092*i**4 + 5*i**3 + 40*i**2 + 806368275*i?\nAnswer: -13104*i**2 + 30*i + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + -861453.\nAnswer: -861452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 35*q - q**2 - 76*q + 12 + 34*q. What is l(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -n**4\/2 - 16*n**3\/3 - 11*n**2\/2 + 25*n - 51. What is the hundreds digit of b(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 225375007 times -0.2?\nAnswer: -45075001.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2151065*a*j**3*l + 5047*a*j**3 - 10*a*j**2 - j**3*l + 11*j**2 - 2*j wrt l.\nAnswer: -2151065*a*j**3 - j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s + s - 2*s + 1)*((0 - 2*s**2 + 0)*(-3*s + 2*s + 0*s) + s**3 - 5*s**3 - s**3 - 3*s**3 + 7*s**3 + 12*s**3).\nAnswer: -39*s**4 + 13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*u - 5*y + 3, 3*u - 2*y - 12 = -11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2159, -4106, -6053?\nAnswer: -8000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3982 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43400 divided by -14.\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(((264\/22)\/12)\/((-6)\/21))\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/12 - 242\/(-12). Let h = -17 + z. Suppose 6*k - h = 3. Does k = 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*3*((-32)\/396)\/(-4).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8963, 18048, 27133, 36218, 45303, 54388?\nAnswer: 63473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p**2 - 6*p - 186. Give r(19).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 - 9*t**2 + 14*t + 2. Determine w(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/17? (a) 7 (b) 0.1 (c) -0.7 (d) -34\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 698\/2996 + 10\/35. Let j = p - 2\/107. Find the common denominator of 77\/4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34 divided by 171?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4556 or 9111\/2?\nAnswer: 4556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -16*w + 20*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 80603507 is divided by 2470.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 234 and 8.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.1*1.51\nAnswer: -0.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 28673*c*g**3 - 6*c*g**2 - 82*c + g**3 - 97*g**2 wrt g?\nAnswer: 172038*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 321 is divided by 60?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**3 + 5*d**2 + 5*d + 7. Let w be o(-4). Suppose 0 = -5*f - 8 + w, 4*f = 4*a - 20. What is the second biggest value in a, 0, 2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*g**3*i - 7*g**2 - 32*g*i*p + 600*i*p + 12*i with respect to g.\nAnswer: 30*g**2*i - 14*g - 32*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, 15072224 in increasing order.\nAnswer: -3, -2, 15072224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5956 or -788?\nAnswer: -5956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 2*j = 16, 3*d - 2*j - 2*j + 405 = -0*d + 371 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, p: 1, g: 2}. Give prob of sequence pgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 2*n = -34, -n = -5*u - 0*n + 50. Suppose -u = -21*t + 52. Factor 0*z + 2\/3*z**t + 2\/3*z**2 + 0.\nAnswer: 2*z**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29398.24699959 - 29398.21. Let t = 0.037 - g. Round t to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -117b + -b2?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*n + 22*n + 584 = k, -3*n - 12 = 0. What is the remainder when k is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 + 2*y + 2. Let m be ((-18)\/12)\/(40\/80). Let h(a) be the third derivative of a**5\/30 - a**4\/8 - a**3\/2 + a**2. Determine m*c(g) - 2*h(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1153\/38131 or -1?\nAnswer: 1153\/38131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 719470547?\nAnswer: 1733, 415159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/8*(-16)\/(-9)*(-174)\/232.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - (1 - 7)) + 2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -426, 5, 7, -3 in decreasing order.\nAnswer: 7, 5, -3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 2*a - 15. What is j(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 19222, 38504, 57784, 77062, 96338, 115612?\n\"Answer: -w**2 + 19285*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is p in 5*p**2 + 56506430*p + 159648831567245 = 0?\nAnswer: -5650643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -187\/2, 36, 1, 15 in decreasing order.\nAnswer: 36, 15, 1, -187\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l. Let p(v) = 4*v + 25. Let t be p(-7). Let f(g) = -g. Let d(a) = t*f(a) - q(a). Let r(b) = -5*b**2. Calculate d(r(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*h - 19*h - 23*h.\nAnswer: -75*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 5426 = 1554. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -14 at most 10\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -23\/6, -1\/5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**2 + 2*k**2 - k**2)*(10*k - 10*k - 7*k**2).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(2\/7)*y*(y\/(y\/y**(1\/11)))\/y*y)\/((y\/y**(-1))\/y)**18)**(-5\/7) assuming y is positive.\nAnswer: y**(6235\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1055841 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of 89*l**5\/4 + 1091*l**4\/8 - 3468*l**2 + 2*l. Find the second derivative of s(d) wrt d.\nAnswer: 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -54, -48, -34, -12, 18, 56, 102?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -396 + 475. Which is greater: 78 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -386564 * -27.\nAnswer: 10437228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3647*33\nAnswer: -120351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 10078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11418799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 8) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 + 52.893. Let z = j + 4.107. Let t = -6.2 - -1.2. Which is the smallest value? (a) z (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -16*a - 16. Let r(m) = m**3 - 9*m**2 + 5*m + 9. Let w be r(8). Does 11 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(3\/11)\/((d*d*d**4*d)\/d*d)*(d\/(d*d*d*d**(-1\/4)))**(-16)*d**6*d*d*d**(-6)*(d\/(d\/d**7)*d)\/d*d*d*d*d**(-6)*d*d assuming d is positive.\nAnswer: d**(322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1062, 1057, 1050, 1041, 1030, 1017, 1002?\n\"Answer: -b**2 - 2*b + 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7)\/(-2) - (-6)\/(-12). Let i(j) = 0 - 4 + 4 + z*j**2. Let s(m) = -3*m. What is s(i(p))?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -5*j**4\/6 + 841*j**3\/6 - 3731*j**2\/2 - 771015*j\/2 + 77175 = 0.\nAnswer: -42, 1\/5, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34 - (-91 + 8 - -29).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 9*h + 15*h**2 + 2*h**3 - 18 + 3*h**3 - 4*h**3 - h. What is the remainder when l(-14) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 6801186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the second derivative of -549*y**5\/5 + 116*y**3\/3 + 2*y - 248. Find the second derivative of z(t) wrt t.\nAnswer: -13176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -5 + q + 1 + q**2 + 2. Let w(v) = -v**2 - v + 2. Let l(p) = 2*k(p) + 3*w(p). Let b be l(0). Solve -2 = x - b*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 + -7. Suppose 0 = -4*g + 1 + 3. List the prime factors of (30\/r)\/(g\/(-4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -641*u**3 - 417*u**2 - 2*u wrt u?\nAnswer: -3846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 - 9*y + 19. Let t be b(9). Solve 0 = -3*i - 4 + t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the second derivative of s**5\/5 + 104*s**4\/3 - 856*s**3\/3 + 864*s**2 + 1401*s. Let i(x) = 0. Calculate x.\nAnswer: -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*j = -51*j - 69369. Let v be j\/(-513) + (-4)\/54. Calculate the highest common factor of v and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - 1) + (0 - -3) - (-61 + 70)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 13) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 55510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = 86*t - 89*t + 22, 5*c - 33 = -2*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of a**7\/735 + a**6\/630 - 13*a**3\/6 + 12*a**2. Let i(g) be the first derivative of n(g). Factor i(h).\nAnswer: 4*h**2*(2*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 2\/43 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -184093 = -3*c - 88*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.4 + -0.6. Let v = 8 - 5. Let g be 1 - v\/9*3. Which is the closest to g? (a) 4 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2542*x + 1272*x + 1269*x - 28 = 0 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 + -16. Let w = -3 - -4. What is the units digit of (-7 - w)\/(s\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.55 - 0.5500055. Round h to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 60380 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*i - 5*o + 45, 2 + 13 = 2*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 AM and 8:00 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**3 + 78*f**2 - 8*f + 644. Calculate t(78).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 658*f**2 + 3951*f + 19. Determine c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1\/24, 4, 346, -3?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -112316 divided by -172\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 532927 + 532807 - 10*h - 1065734.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10\/(-20) + 878\/1744. Let o = y + 13\/872. Do o and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25782?\nAnswer: 2, 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 2*o + 6. Determine w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 302 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -6*n - 6. Let w(l) = 7*l**3 + l**2 - l + 1. Let u be w(1). Let d(r) = 2*r + 2. Give u*d(z) + 3*h(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 + 0.3. Suppose -j = -0*j. Which is the nearest to j? (a) -1 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/6)*(f*f**1*f)\/f*f**(-3\/4)\/f**4)\/(((f\/f**(-1\/3)*f)\/f)**(4\/7)*(f**1)**(-3\/19)) assuming f is positive.\nAnswer: f**(-5087\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -45 - -49. Put 0, 5, y in increasing order.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xbhhxhmmhhmhxxxh. Give prob of picking 1 x and 1 b.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 906, 722, 64, -1356, -3826?\n\"Answer: -48*b**3 + 51*b**2 - b + 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 4 + 12. Suppose b + 2 = i. Suppose -45 = b*h - 5*h. Solve -2*f - 3*f - h = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -581\/10 + 58. Which is the fourth biggest value? (a) 5 (b) w (c) -2\/5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*p + 2. Let f(m) = 1. Let w(k) = -2. Let n(s) = -9*f(s) - 4*w(s). Let d(q) = -q - 3. Give p*n(x) - d(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 230*d - 867*d - 646*d = 35428 - 8485 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 86970661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -110 (base 8) to base 15\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1287\/66)\/(-3 - (-195)\/52).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 14 = -5*x, 101*x = -2*n + 102*x + 10. Calculate the lowest common multiple of n and 372.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*1*(0 + sqrt(80) - sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/3))**9\/((r*r**1*r*r*r)\/(r\/r**(-17)*r*r)))**(-29) assuming r is positive.\nAnswer: r**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 752371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 - -16. Suppose -5*y = -5*q - 25, -5*y + 3*q - j*q + 37 = 0. Suppose k + y = u, -u - k = -6*k + 5. Solve -3*d + d - u = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 276 + -224. Suppose -l*i = -44*i - 21064. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 114\/(-22) + 254\/1397. Sort b, -4, -1, -2, -110.\nAnswer: -110, b, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 341 = l + 3*r, -4*l + 344 = 4*r. Let u(n) = 719*n + 29497. Calculate the remainder when l is divided by u(-41).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -2*y**3 + 2*y - 2. Let o be l(1). Put 2, -1, o in descending order.\nAnswer: 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -230, -4, -2, -6.\nAnswer: -230, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k + 45 = -165. What are the prime factors of 560\/k - (-2)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1582 = 37*n - 1175 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -182*u + 171*u + 6732 = 0. Is u\/(12 + -6)*4\/6 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6836b4 - -13?\nAnswer: -6836a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**3 - 5*c**2 + 150*c - 1559. Calculate a(10).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1430 - 1198. Calculate the smallest common multiple of 10 and w.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1299 is divided by -248*((-23)\/(-4) + -6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1b - -ecaa17?\nAnswer: eca9fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 55966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7226625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the second derivative of 0 + 2*j - 1\/3*j**3 + 0*j**2 + 1\/3*j**4 - 1\/20*j**5. Give r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 28920 - 42910. Round q to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 35\/1540*-11*(-1)\/(-3)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 318, 4.91, 0?\nAnswer: 4.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -4*h**3 - h**2 + 1. Let q be g(1). Let i be 5\/((-10)\/q)*2. Let m = i + 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 101017 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0 + 4 = 0. Suppose c*n = 14 + 76. What is the highest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -69209, -69067, -68919, -68765, -68605, -68439, -68267?\nAnswer: -68089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the second derivative of 2*v**3\/3 - 27*v**2\/2 - 2*v. Let t be x(7). Calculate the greatest common divisor of 7 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -114 - -385. Let h be (-35)\/(-11) + (-2)\/11. Suppose -h*a = -218 - m. What are the prime factors of a?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(1140\/(-38)))\/(150\/6)?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12.7 - -16.7. Put 0.1, h, -12 in ascending order.\nAnswer: -12, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2468 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12133.06l in millilitres?\nAnswer: 12133060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(2*sqrt(171) + 4)**2 + (4*sqrt(95)*-1)\/(sqrt(640)\/sqrt(8) + sqrt(5)) + -3.\nAnswer: -3503 - 1204*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/(-60) - 466\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 542420 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 188880*l**4 + 256119*l wrt l?\nAnswer: 2266560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2.03 (b) -1 (c) 4 (d) 184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/677138 or 0?\nAnswer: -3\/677138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, -1, -2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 + -21. Let q = m + 20. Suppose q*l - 6*l + 42 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -181, -5, -4 in increasing order.\nAnswer: -181, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose s**2 - 741*s = 0. Calculate s.\nAnswer: 0, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2217*c + 1248 wrt c?\nAnswer: -2217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-3354)\/4)\/(6*1\/8). Let z = c + 1611. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 14521529?\nAnswer: 14521532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 468130 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: Let f = -85 - -126.8. Let t = f + 8.2. Let n = t + -50.00021. Round n to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -315 + 314.86. Let v = -2.018 - 0.022. Let x = o - v. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -95797 - -23853403\/249. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*y**3 - 14*y + 2*y + 12*y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -0*x - 15. Suppose 0 = -k - 2*k + x. Suppose -k*w - 137995 = -2*b, 2*w - 182580 = -3*b + 24422. What is b rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1215, 2261, 3307, 4353?\n\"Answer: 1046*a + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 6 = -4*t - 25, -g + 25 = -4*t. Suppose -4 - 216 = -5*i. Let h = t + i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:19 PM and 5:17 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -3*r**3 + 3*r**4 - 21 + 5*r**3 + 23 + r**2 in the form m*r**4 + o + b*r**2 + l*r + p*r**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do -125200\/63 and -1986 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 23257 times -20\nAnswer: -465140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 0 = -128. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/9)\/1*(-35)\/9450*-18*30?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -81731870 by -121.\nAnswer: 675470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**5\/15 + u**4\/6 - u**3\/6 - 70*u**2. Let l be h(-2). Let f(y) = y. Let n be f(-3). Sort n, l, -5 in decreasing order.\nAnswer: l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnggngn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqeqqqqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 591381.\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2\/13)\/t**(-1\/4))\/((t*t**(-27)*t)\/(t**(-5)*t)) assuming t is positive.\nAnswer: t**(1097\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -6\/11 (b) -3 (c) -506205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express k + 22 - 12 + k + k in the form g + s*k and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*q**3 + 8*q**3 + 19831206*q - 19831206*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -888*h + 905*h = 340. Let y(b) be the third derivative of 0*b**4 + h*b**2 + 0*b**3 + 1\/30*b**5 + 0 + 0*b. What is u in y(u) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/(-3))\/(2\/(-24)). Let p be y\/9*(-29 + 2). Suppose p = -2*j + 6*j. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 3*h - 2, 0 = -4*h - 3*j - 8 + 2. Suppose p = 4 - h. Let z(w) = 0*w - p*w + 2*w. Let d(v) = v. What is z(d(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -262853, -262432, -262011, -261590?\n\"Answer: 421*u - 263274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 2 s when four letters picked without replacement from ssyyyyyyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/((-56)\/((-2912)\/130)))\/((-6)\/(-393))\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-1512)\/(-2016)*(-28)\/3 - -80\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 1)*-1 + (-10094)\/(-9682).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (79 - 43) + -55 - (-4 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (((-40)\/(-7))\/(768\/896))\/((-20)\/30)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yl when two letters picked without replacement from {r: 4, y: 1, l: 2, s: 4, c: 9}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16196?\nAnswer: 2, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v**2 - 6*v - 11. Let k(i) = -i**2 + 11*i + 23. What is 5*c(z) + 3*k(z)?\nAnswer: 2*z**2 + 3*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 + 11*l**2 - 3*l - 6. Let p be u(-8). Suppose a - p = 6*a. Let i = -30 - a. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*z**(-5\/6))**(5\/7))**(-4\/27))**(-1\/8) assuming z is positive.\nAnswer: z**(5\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2*j**2)*(-j**3 - 9*j**2 + 9*j**2) - 8 + 4*j**5 + 8 + j**5 + 3*j**5 - 3*j**5.\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*q - 17*q - 167*q**2 + 161*q**2 - 15*q to the form l*q + v*q**2 + r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 - 10*j**2 - 11*j + 4. Determine n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*z = 11*z + 280. Let p be -3 - 12\/10*z\/(-6). Solve 21 = -5*g - j, -p*g = -2*j + 7 + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(425) - 2*sqrt(425)) + -2 - (-5*((sqrt(1377) - (sqrt(1377) + -2)) + -3))**2.\nAnswer: -32 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -46*j + 12*j - 84*j**2 - 46*j + 82*j**2 + 0*j - 4 in the form z*j**2 + u + h*j and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*c**2 + 2*c**2 + 9*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3\/617 + -10522\/6787. Find the common denominator of -37\/11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16433459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (((-11610)\/(-72))\/(-43))\/(-1 + 44\/32)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*u**2 + 28988390*u + 42016337739605 = 0. Calculate u.\nAnswer: -2898839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10121474 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*y**2 - 2238*y + 2235.\nAnswer: 3*(y - 745)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 + 6*m**2 - 8*m - 2. Let r be p(-7). Suppose 0 = r*c + 17 + 8. Let q(i) = i**2 - i - 4. What is the tens digit of q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 4) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17794*s**4 + 8*s + 419 wrt s?\nAnswer: 213528*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3131)\/(-2) + ((-405)\/(-18))\/(-15)?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 79675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/10384498 and 55\/39098.\nAnswer: 1173448274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 260745 and 72278514.\nAnswer: 361392570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 + (-1)\/(-2) + -1. Let o = 16.31 + -17.3. Let j = o + -0.01. Which is the third biggest value? (a) i (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = o - 0*v + 10, -o + 3*v = 4. Solve 7 = -3*f - 2*k + 3, o*k + 10 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -4*y**3 + y**2 - 1. Let i(h) = -15*h**3 + 45*h**2 + 78*h - 4. Let v(o) = -4*b(o) + i(o). Find z, given that v(z) = 0.\nAnswer: -39, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ghc when three letters picked without replacement from canncnnnggnhnancchc?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8 - (-3)\/(6\/(-4)). Let p = 27 - i. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -348 - -348.1. Let x = 101 + -97. What is the closest to 2 in -4\/7, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= 3\/28318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11\/(1782\/(-144))*(6 - 0 - 15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r + 4 - 4)*(2 + 0 + 0) - 3 + 12*r + 3 - 3*r + 2*r - r + (-1 - 5 + 5)*(-13*r + 70 - 70).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -u - 6 - 2*u + u - 3*u + 4*u + u - u - 6*u + 2*u + (0 + 1 + 0)*(0 - u + 0) - 3*u + 5*u + 0*u to the form p + m*u and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 691 - 330 - 7*h - 358. Let z(q) = 1 + 0 - 5 + 8*q + 0*q. Determine 6*c(r) + 5*z(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -5*d**2 - 7*d + 1. Let i(z) be the third derivative of z**5\/15 + z**4\/4 - z**3\/6 + 14*z**2. Let x(u) = -2*a(u) - 3*i(u). What is x(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 70*s - 4428. Calculate i(62).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1180239 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + 325\/35 + (-420)\/70. Factor a + 2\/7*r**2 - 4\/7*r.\nAnswer: 2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4496?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -10 (b) -4 (c) -3 (d) -14034\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1949529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 + 4*m**2 - 23*m - 21. Determine w(-8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a**2 - 9*a + 5. Calculate the remainder when r(7) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t + 6. Suppose 0 = -o - 10 + 8. Let s(l) = 3*l + 1. Let u be s(o). Determine h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1\/(-1*848\/24))\/((-1)\/(-2)). What is the closest to -1\/3 in -3, 2, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3391 + 3*j**4 + 3388 - 6779 + 5534*j**2 + 1115*j**3 wrt j?\nAnswer: 72*j + 6690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53 = 16*j + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1626 + -1626.1. What is the biggest value in -0.4, b, 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 160, 134, 106, 76, 44, 10, -26?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 97757, 195570, 293383?\nAnswer: 391196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.3 + -9.3. Let l = 30 - 30. Which is the closest to l? (a) s (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 122.48 - -6.8542.\nAnswer: 129.3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.028635 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r + 1. Let k(a) be the second derivative of 5*a**3\/2 + 9*a**2\/2 - 26*a + 15. Give 4*k(z) - 36*w(z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2*q + 1. Let p(o) = -3*o + 1. Determine -5*m(n) + 4*p(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 20, -18, 1.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 907\/774922?\nAnswer: 907\/774922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of -4*y**2 - 6*y - 2. Let k be l(-5). What are the prime factors of k\/4 + (-3)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0139621051 to 6 dps.\nAnswer: -0.013962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -12444100 + -430?\nAnswer: -13000030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 84 = 6*k. Suppose k*c = 6*c + 24. Suppose -11 - 22 = -c*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16 - -7 - -8) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -12*p**2. Let q(b) be the third derivative of -b**4\/12 - 10*b**2. Determine q(v(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1 - 1)\/2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 769 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 - 1 = f. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 58 + -31 + 3 + -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/2178 and 113\/39006.\nAnswer: 429066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 - -11101?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -55 - -60. Let u = -2.876 - 0.124. Which is the biggest value? (a) z (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + -1.5. Let v = g + 1. Let y = -1\/312 + 49\/312. What is the third biggest value in 0.4, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 4*f**2 - 2*f + 58. What is g(0)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**2 - 4. Suppose -44 - 6 = -5*m. Let n(p) = 5 + 5 + m*p**2 - 5*p**3 - 2 + 4*p**3 + 10*p. Let o be n(11). Calculate h(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 411 - 410.7. Which is the nearest to m? (a) -1\/3 (b) -7 (c) -8 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 108 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 7*x - 1. Give d(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -1319*r - 11. Let g(b) = -439*b - 4. What is -8*g(w) + 3*t(w)?\nAnswer: -445*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.08 and -200.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (287*d**4 + 1147*d**4 - 273*d**4)*(-2 + 1 + 2)*(1 - 5 + 0).\nAnswer: -4644*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 265714770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(2 - 0)*10\/6. Put 3, -1, 1, h in decreasing order.\nAnswer: h, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s = -920846 + 3640846. Round s to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -71 - -73. Suppose w - 5 = -2. Suppose 0 = -c + 3*d + 153, 0 = -p*c + 2*d - w*d + 313. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3063608, 6127217, 9190826, 12254435, 15318044?\nAnswer: 18381653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13960 is divided by 13905?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -j + 2*j**5 + j + (-8*j - 6*j**3 + 8*j)*(3*j**2 - 6*j**2 + j**2) + (-1 + 1 - 2)*(j**4 - j**4 - 4*j**5) + (-3*j + 5*j - 3*j)*(-3*j**2 + 3*j**2 + j**4).\nAnswer: 21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*k**4*z**3 - k*z**3 + k*z**2 + z**3 - 346*z with respect to k.\nAnswer: 48*k**3*z**3 - z**3 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3165? (a) -1 (b) 3\/5 (c) 404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*n**4 + 1 + 29*n**3 - n**4 + 8*n - 24*n**3 - 4*n**2 - 7*n**3 + 1 to p*n**3 + b*n**4 + l*n**2 + a + q*n and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2046, -2047, -2048?\n\"Answer: -v - 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 74 + -59. Calculate the remainder when 42 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23235.\nAnswer: 3, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20021012111121 - 11220?\nAnswer: -20021012200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1073610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(2\/9)\/b)\/b**(2\/9))**(-49) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3244521352+1\nAnswer: 3244521353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 + 0)*(0 + 0 + 1 + (-3 + 2 + 2)*(-1 + 5 - 6))*(-1 - 53 - 7)*(3*u**3 - 2*u**3 + 6*u**3).\nAnswer: 427*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - 22)*2\/(-6). Let m = -167 + 195. Calculate the greatest common divisor of i and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 4:32 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 6520524, 26082093, 58684714, 104328393, 163013136?\n\"Answer: b**3 + 6520520*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 199 - 986\/5. Let i = -12 - -11.8. What is the closest to i in 3\/7, h, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1)\/3)\/((-69460)\/(-8684) + -8). Let j = 241 - q. Put -0.5, j, 30, 4\/3 in ascending order.\nAnswer: -0.5, j, 4\/3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the first derivative of -f**6\/3 + 33*f**5\/5 + f**4\/2 + 2686*f**3\/3 + 2287. What is the third derivative of q(m) wrt m?\nAnswer: -120*m**2 + 792*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -44.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 98*v**4 - 251*v**3 + 245224?\nAnswer: 392*v**3 - 753*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cccjccccjjj. What is prob of picking 1 c and 2 j?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 2 = 6*d. Suppose 0*q - q + 15 = 2*l, -4*q = 4*l - 40. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 - 3. Let r be 22 + (-3 - (z + -1)). Let t be (-80)\/6*(-42)\/4. Calculate the highest common divisor of r and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -3.98. Let p = -1.98 + c. Let h = -0.1 + 0.2. Is p less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -46 + 1287\/28. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 21034814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 188 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2567927712.\nAnswer: 2, 3, 7, 113, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 10110010010 (base 2) to base 3.\nAnswer: 1221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1879, -8618, -19869, -35632, -55907, -80694?\n\"Answer: -2256*l**2 + 29*l + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*w**4 - 7*w**3 + 7*w**3)*(-3 + 2 - 9)*(1 - 4*w - 1) + 2*w**5 + 0*w + 0*w.\nAnswer: 442*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-219 - -124)*-16*(-19)\/(-10)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 8 = -2*w. Let z = -1 - w. Let p(x) = -3*x + 3. What is p(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -135 + 51. Let j be 6030\/(-28)*7\/u. Let v = j + -155\/8. What is the second smallest value in 4, v, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 0.7992013mm?\nAnswer: 799201.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*r + 22904 = -3574. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (6*1\/20)\/(18\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/(-12))\/((-420953)\/(-4)). Let m = s - -24414860\/87137271. Let r = m + -4\/69. Sort -3, 0, r in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of o**4\/24 - o**2. Let h(c) = -3 + 3*c - 6 + 2*c + 9. Give h(r(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 6, 1, 2, 7 in decreasing order.\nAnswer: 9, 7, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((16\/(-12))\/1)\/((-2)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = 27*y - 28*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.4 + 0.5. Let p = 393 - 343. Let m = p + -65. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3149479019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 62*k**3 + 119*k**3 + 59*k**3 + (-3*k**2 - 3*k**2 + 4*k**2)*(-3*k + 2*k + 2*k) to v*k + a*k**3 + m*k**2 + c and give a.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000022299674 to seven decimal places.\nAnswer: 0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*s**2 - 4*s**3 + 29*s**2 + 54*s**2.\nAnswer: -4*s**3 + 72*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of -l**2\/2 + 10*l + 10. Let c be j(8). Suppose 7*h - 75 = c*h. What is the remainder when 42 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 48\/7 and 5\/6596.\nAnswer: 46172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-84)\/(-24) - (-3)\/(-2). Let p(s) = -3 - 2 + 3*s**2 - 4*s**f + 8*s + 0*s. What is the units digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2103532 + 2103530.949949. Let f = -1.05 - p. What is f rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(144)\/(1*sqrt(24)\/sqrt(2)))\/(3*(sqrt(288) + sqrt(8))\/sqrt(2)))**2.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.16 - 0.04. Let l be (5\/3)\/((-10)\/15). Which is the third biggest value? (a) o (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/10*28\/(-63).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 272*g - 635*g - 10516 - 12164 = 177*g for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 4*r + 0*r - 3*r - 54*r**2 - 5008 - 2*r + 5006 - 7*r**3 as c*r**2 + x + j*r + g*r**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-283562824294)\/(-36240) - (-2)\/6. Let a = d - 78245787\/10. Let f = 2\/755 - a. Find the common denominator of f and 85\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 24.208 - 0.008. Let h = s - 23.7. What is the third biggest value in h, 4, 2\/11, -2\/13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*a = -9*a - 655. Let f = a - 69. List the prime factors of 6\/3*f\/2.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14328 and 92336.\nAnswer: 831024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 11367018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -35603, -36361, -37119, -37877, -38635, -39393?\nAnswer: -40151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (208 - 219)*12\/(-33). Let f(p) = -96*p - 17. Let i(a) = -32*a - 6. What is g*f(n) - 11*i(n)?\nAnswer: -32*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2080)\/325*10\/24?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 152 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42, -1, -74, -177?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17*5)\/((2\/8)\/(2329\/(-9316))).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 768*z**3 + z**2 - z - 3. Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.0549 + 149.5351. Let d = r - 150. What is d rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3*s - 6. Let o(k) = k + 3. Let i = 0 + 4. Let r(n) = i*z(n) + 10*o(n). Calculate r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 2857, 6169, 9923, 14113, 18733?\n\"Answer: -w**3 + 227*w**2 + 2638*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -328*i**3 + 59*i**2 - 5 wrt i?\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10832, 10783, 10696, 10565, 10384, 10147?\nAnswer: 9848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -10*z**2. Let m(k) be the third derivative of k**5\/60 - 11*k**2. What is j(m(l))?\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 4, b: 1, o: 3}. What is prob of sequence bnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2 times -0.061\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/(-4))\/((-1)\/10). Let d = -17.9 + 18. Which is the second biggest value? (a) d (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.012, -1\/12, -1\/8, -1, -2, 0.3?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-500)\/100)\/((-75)\/9). What is the closest to -0.1 in 1, t, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhgn. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bhhbhhhhobbbbhh. What is prob of sequence bo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -10100010011101101 (base 2) to base 6\nAnswer: -1441033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -455 + 418 - (-37950)\/1026\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*m + 6*m - 3*t = -6*m + 75, -61*m + 58*m = -t + 205 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(336)\/(sqrt(16)\/sqrt(2)))\/(sqrt(54)*-6).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 42191.7185 rounded to the nearest 10?\nAnswer: 42190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 - 23*s - 80. Let j be z(-18). Solve -4*v = -10 - j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of -813*w**4\/4 - 330*w**3 - 712. What is the third derivative of u(m) wrt m?\nAnswer: -4878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5644673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide ((-7627368)\/(-49))\/12 + 44\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11628 and 3?\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4594a4 + -3a?\nAnswer: -459511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1.9 (b) 915 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 + -27 + 2 + (6 - 4 - 17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k**(-10)))**19 assuming k is positive.\nAnswer: k**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*d = 4*d - 234. Let x(f) = f - 25. Let r be x(0). Let y = d - r. Solve -3*m = -o, -2*m + 4 = 3*o - y*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 3 - (-241 + 25\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 3\/124 (b) -2 (c) 3\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-57)\/(-4))\/(24\/64). Let o = -26 + x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7592.181mm in micrometers?\nAnswer: 7592181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -2*h**3 - 6*h. Let b(v) = 0*v**3 + 7*v + 4*v**3 - 2*v**3. Let g(w) = 3*w**2 + 2*w - 1. Let i be g(-2). Give i*t(f) + 6*b(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -503, -2031, -4577, -8141?\nAnswer: -12723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*x + 3*x - 2*x**3)*(-2 + 2*x + 2) + 896*x**4 - 939*x**4 - 3 + 3*x + 5.\nAnswer: -47*x**4 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 4*u - 8, -4*p + 9*p + 20 = 0. Let q = 3 - 2. Let a be (q + -2)\/(3 - 4). Solve 0 = u*s + 17 - a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, f: 1, n: 1, k: 4, u: 3, d: 1}. Give prob of sequence dkk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 486 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/15 - 98*r\/15 + 392\/5.\nAnswer: 2*(r - 28)*(r - 21)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 585 + -570 - (7 + (1 - 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes before 7:02 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -54*c**2. Let x be h(1). Find the common denominator of x\/40*2\/(-3) and ((-2905)\/(-10))\/(-7) - (-18 - -23).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of -1409*a**7\/21 - 139*a**3\/6 - 7*a**2\/2 - 4179*a. What is the second derivative of f(j) wrt j?\nAnswer: -56360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -86794.05 take away 3?\nAnswer: -86797.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2167398?\nAnswer: 2, 3, 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 2*p**3 + 14*p**2 - 3*p + 21. Let g(x) = x**3 + 7*x**2 - 2*x + 10. Let f(v) = -9*g(v) + 4*j(v). What is the smallest common multiple of f(-8) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -2 (b) 16 (c) -9\/2 (d) -0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 180 = 4*c, -4*c = -5*s - 165 + 1017. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75460 is divided by 312.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {s: 2, l: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 17853, 35695, 53537, 71379, 89221?\n\"Answer: 17842*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-34)\/(-11) - (-15 + 18). Which is the third smallest value? (a) y (b) -1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 + 4 = 2*v. Let f be 1 - (0 + (-53 - 1)). Let i = f - v. Solve 3 - i = -g + 5*h, 0 = -2*g + 3*h + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 817593, 817581, 817561, 817533, 817497?\nAnswer: 817453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9692237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - 728419137.\nAnswer: -728419137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 417936 less than -0.16606?\nAnswer: -417936.16606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (4*o - o**2 - 4*o)*(3*o - o - 4*o)*(-482 - 2199 + 510) as h*o**2 + c*o + t*o**3 + y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98504 is divided by 467?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -66\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -503?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(-15))\/(9\/((-54)\/4)). Let w = 28 - 23. Put 0, w, 2\/3, u in decreasing order.\nAnswer: w, 2\/3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -937 + 883. Calculate the remainder when (-1)\/((-1)\/8)*4 is divided by u\/6 - -13 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -28.484 + 28.4. Let q = -0.084000275 - h. Round q to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29296738964.99999757 + 29296738670. Let p = t + 295. Round p to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -ce1 - 27b?\nAnswer: -f5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-885)\/(-33) + (-18)\/(-99). What is the highest common factor of 369 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8455 is divided by 196?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46891760?\nAnswer: 2, 5, 586147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 80 and 3756.\nAnswer: 75120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -161*d**5 - 2*d**3 + 89*d**2 - 3 wrt d?\nAnswer: -9660*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kzzzzzkkzkkzk. Give prob of sequence kk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2207821070 to the power of 1\/2, to the nearest integer?\nAnswer: 46987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = -10*f + 6*f. Suppose 16*o - f*o - 39 = 0. Let w be -2 + o - (6 - 2). Calculate the highest common divisor of w and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 255242\/85 or 3003?\nAnswer: 3003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 85884947*f + 174735836 wrt f?\nAnswer: 85884947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3.403648 and 0.4?\nAnswer: 1.3614592","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let k be (-10482)\/(-8) + -1*(-4)\/(-16). Suppose -g + k + 89 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*b = -28*b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 - 8. Suppose -2*y - 5*w = 46, -4*w + 0*w = -n*y - 82. Let v = 152 + y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 825984433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-28)\/32*12\/42?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-11)\/22*12*2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0943529 - -0.7266.\nAnswer: 0.8209529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*a = 1236 - 1262. Solve -4\/3 - x + 1\/3*x**a = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*x - 25*x = 624 + 21 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/4 - (-58)\/(-8). Let k(y) = -6*y - 5. Let q(c) = -7*c - 6. Let d(f) = 6*k(f) - 5*q(f). Is 6 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes before 10:42 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 + u + 126. Suppose -2*f + 20 = f + 5*x, -12 = -3*f - 3*x. Is c(f) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 354 = 7*k. Calculate the remainder when k is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 + 1 + (-2 - 4 + 4)*(-1 + 1 - 2) + 2 + 10 + 2)*(x**5 + 2*x**5 + 0*x**5).\nAnswer: 60*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b + 347 = 3*k + 4*b, 3*k + b - 322 = 0. What is the derivative of k*u - 109*u + 21 + 18*u**3 wrt u?\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 PM and 11:03 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 359330434*f + 3 + 359330439*f.\nAnswer: 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 1311*f**3 + 5244*f**2 + 1311. Let m(o) = 4*o**2 + 1. What is 1311*m(x) - n(x)?\nAnswer: -1311*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18960000 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 3*a + 7. What is v(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1429560730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((3 + 5 + -2*sqrt(405))**2 - (sqrt(405) - (sqrt(405) + -2 + sqrt(405) + -1))**2*6) + 0.\nAnswer: -4000 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**2 + 3235470*d - 3235465.\nAnswer: -5*(d - 647093)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 1484 - 6. Let w be 6\/(-2) - 0\/5 - -6. Suppose -w*i + 2*z = -4*i + 251, 2*z = -3*i + t. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 81508*j**2 - 238*j + 477. Is c(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19.60545514 rounded to 3 decimal places?\nAnswer: 19.605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7ee + -16?\nAnswer: 7d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 - 4*u + 9. Let q be s(-5). Let f = -29 - -81. Suppose -2*k - 4*r = -q, -4*k + f = -2*r - 6. Put -1, k, 4 in descending order.\nAnswer: k, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5303*y - 4073*y - 5 + 1187*y + 11 - 2648*y.\nAnswer: -10837*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 3*d - 2*d**2 + d**2 + 5*d - 3*d + 2 + 4*d**3. Let f be o(2). Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.234 + -0.066. What is the nearest to 2 in w, 0.3, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/8)\/((-2)\/12*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*w - 5*w + 2*w - 399*w**2.\nAnswer: -399*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 2058222770 to the nearest 1000000.\nAnswer: 2058000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/6)\/((-7)\/(-21)). Let p(c) = -c**2 + 9*c - 4. What is p(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 9) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8*(-7)\/(-14))\/((-3)\/(-1)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -41a (base 13) in base 10?\nAnswer: -699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 3*s + 1. Let u(a) = a**2 - 8*a + 8. Let k be u(7). Let w be z(k). Suppose 39 = p + 4*p + w*j, -p + 5*j + 2 = 0. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7005\/119 + -251431\/4284. Find the common denominator of z and 29\/816.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -361 - -1456. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i**4 - 2*i**4 + 2*i**4)*(-i - 6*i + 5*i) - 4*i**5 + 4*i**5 + 3*i**5 + (2*i - i - 3*i)*(-12*i**2 + 6*i**2 - 2*i**2)*(-2*i**2 - 3 + 3).\nAnswer: -33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = z + s + 535, 5 = s. Round z to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 830.450861 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of c**7\/420 - c**6\/144 - 11*c**5\/360 - c**4\/48 - 3*c**2 - 15. What is a in i(a) = 0?\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 31, 100, 169, 238, 307, 376?\n\"Answer: 69*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, 223, -2, -4.\nAnswer: -22, -4, -2, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4232 + -2011?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.017 (b) -5.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 + 2*p + 51 - 26.\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-9)*-6*(-12)\/32?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t - 3*t - 45 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 1:56 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**2\/5 + 174843*l\/5 - 56892542\/5.\nAnswer: -(l - 174517)*(l - 326)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 10*c = 0. Let w(q) = 21 + q**2 - q + 0*q**2 - 6. What is the tens digit of w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m*(m*m*(m*m**8)\/m*m)\/m)\/m)\/m**(-4\/13))\/(m*m\/m**(1\/23)*m**(-4\/5)))**25 assuming m is positive.\nAnswer: m**(68405\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 43.132, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (154 - (-1 - -5)) + (-3)\/(-1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -11294 (b) -14 (c) -1\/3 (d) 0.05 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -22 + 22. Which is the closest to 0.1? (a) 10 (b) x (c) 0.5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**2 + 3*k**4 + 0*k**2)*(-2 - 1 + 1)*(1 + 0 + 0).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 12 = -5*m. Let x = 9 + m. Let d = -28 + 48. Calculate the remainder when d is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 40*h**5 + 9*h**4 - 176*h**2 + 8574899*h wrt h.\nAnswer: 800*h**3 + 108*h**2 - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = r - 2*r + 518, -3*g = r - 510. Calculate the remainder when r is divided by 171.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from seee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -320451 (base 8) to base 12.\nAnswer: -51975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -88 - -136. What is the highest common divisor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-3) + (-8)\/(-3). Let p = -344 - -358. Suppose -56 = -5*z + 2*a, -6*a = -h*z - a + p. Solve -3*v - z = -0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53 - (12 + (0 - -12) - 0)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 2616055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -5*l + 64, 121*r = 4*l + 120*r - 46. Solve 2 = -13*u + l*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -59, -143, -245, -365, -503?\n\"Answer: -9*a**2 - 57*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (16\/6 - 2)*(-6 - -9). Let o = 18 + s. Solve o = 2*w + 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -43*b + 40*b - 1 - 2 - b**2 + b**4 in the form z + t*b + m*b**2 + w*b**4 + i*b**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 7669619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 5292*d + 10953*d + 1139*d + (-1 - 2 + 1 + 1 + 3 - 3 + (3 + 2 - 7)*(1 + 1 + 0) - 4 + 2 + 4)*(6*d - 3*d - d)*(1 - 4 + 1) in the form v*d + b and give v.\nAnswer: 17396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + (-11 - -12 - 5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**3 - 8*l**3 - 5*l**3 + 3*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 6*(3*-6*(6*(sqrt(1216) + -1*sqrt(1216)) - (sqrt(1216)*-2 + 1)))**2 + 5.\nAnswer: -62208*sqrt(19) + 9457565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 1. Let o(s) = -2*s - 4. Suppose p = -2*l - 19, l + 20 = -l - 2*p. Let u = -10 - l. Let j(f) = -1. What is m*j(k) + u*o(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and 1074.\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 550 divided by 5324\nAnswer: 25\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 28, 78, 152, 262, 420, 638?\n\"Answer: 2*q**3 + 36*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 100\/63 or -36\/1639?\nAnswer: 100\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74 = 5*x - 86. What is the smallest common multiple of 420 and x?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 856531.6l in millilitres?\nAnswer: 856531600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**2 - 11*y - 38. Let n be f(-3). Solve -1\/2*d**n + 0*d**2 + 0*d**3 + 0*d + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 10*n**2 - 13*n - 30. Let v be t(-2). Solve -s - 4*z = 13, 4*s - v*z + 22 = -37*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 785 + -490. Let u = -131 + m. Let n = -61 + u. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 135843.6, -3\/157, 5?\nAnswer: -3\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 371272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 36986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -74*i - 4 - 6*i**2 - 31*i**2 + 35*i**2 as d*i**2 + c + u*i and give u.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (c - 4*c + 36*c + 2)*(2*c + c**2 - 2*c + (-3*c + 6*c - c)*(2 - 5*c - 2) - 3*c**2 - c**2 + 2*c**2).\nAnswer: -363*c**3 - 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 397171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 AM and 5:31 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 141 + -135.3. Let v = 6.1 - j. Let m(b) = -4*b + 1. Let i be m(0). What is the nearest to i in v, -2, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ap when two letters picked without replacement from {s: 6, j: 1, p: 2, a: 9, c: 1, e: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y + 105. What is the remainder when r(10) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -116.28 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 4043.55 to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*b + 89 + 856 = 224*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1092 and 2184.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.5+7619880\nAnswer: 7619880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*q + 15 = u, -2*u = -3*q + 3. Suppose u*x + 6 - 4 = 4*y, -6 = y - 4*x. Let m be y - (-1)\/(22\/(-40)). What is the nearest to 2\/7 in m, -4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 564720 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4*(-1)\/(-12)*24. Let a(b) = 3*b - 12. Let h be a(s). Let i(l) = 2*l**2 - 8*l + 6. Let j be i(6). What is the greatest common factor of h and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 3 = 5*k - 13, 2*k + 4*a + 8 = 0. Solve -7*u**4 + 0*u**4 + 1 + k*u**2 - 3*u**5 - 6*u**3 + 5*u + 4*u**3 = 0 for u.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 105801770 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 390*v - 153*v = -158*v - 1580 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -4, -21, -149049.\nAnswer: -149049, -21, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173*l + 170*l + 12 = 0. Solve j + 4*u - 3*u = l, -5*u = -j - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66 - 66 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.99*10\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1900) + -1 - -1*sqrt(171))**2 + -3 - (((sqrt(95) + 3*sqrt(95))\/sqrt(5))**2 - ((sqrt(19) - (sqrt(19) + 1))**2*-4 + sqrt(19) + sqrt(19))))*3.\nAnswer: -72*sqrt(19) + 8703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-63)\/462)\/(1\/4).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/17 in 1, -4, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -2 + -5 + -1 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2\/133))**(-10)\/((w**(-9)\/w)\/(w*w*w*w**(-3)*w)) assuming w is positive.\nAnswer: w**(1483\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1072213 <= 1072212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1899 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 1, -3, 104, 22.\nAnswer: -3, -1, 1, 4, 22, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1641)\/(-15) - 4\/10) + 2. Suppose 2*p + 35 = a. Suppose -p = 4*c - 126. What is the remainder when c is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38*z**2 + 37*z**2 - 2 - 58*z**2 - 9 + 0 to h*z + y*z**2 + q and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -4727*w + 269415. Give u(57).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -1230*h**3 - 3 + 1224*h**3 + 2 + 7*h**2 in the form p*h**3 + j + k*h + m*h**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 721\/12 - 60. Let n(b) be the third derivative of 2*b**2 + 0 - 1\/30*b**5 + 1\/3*b**3 + 0*b - l*b**4. Determine n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 5*k = -1469335, y = 5*y + 2*k - 1175432. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.11, -1\/5, -2.735?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**4 - 65*v**3 - 171*v**2 - 139*v - 35.\nAnswer: (v - 35)*(v + 1)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5968047119\/656443360 - 3\/2793376. Let k = 2\/235 - z. Calculate the common denominator of k and 3 + -3 - (-94)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 47 times 4.02894\nAnswer: 189.36018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - 4 = -2*v, 4*v + 91 = -6*k + 59 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-1)\/2*0)\/(-1). Suppose -5*q + q + 76 = b. What is the remainder when 73 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6212396.79572488 + -6212399.3. Let d = 52.49572606 - x. Let y = d + -55. Round y to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from yyyyccccycyycc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -17742 + -5?\nAnswer: -17747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -19*k - 3. Let b(m) = -26 + 105*m + 82 + 252*m. Let s(w) = 3*b(w) + 56*z(w). Let y(d) = 16*d**2. Give y(s(f)).\nAnswer: 784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 9 (base 15) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -124. Let u = g - -28. Suppose -3*o + u = b + o, 330 = 2*b + 2*o. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*m**2\/11 - 324*m\/11 - 77760\/11 = 0 for m.\nAnswer: -90, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7498470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -142*j**2*r**3*w + j**2*r*w - j**2*w - 29*j**2 + 4*j*r*w + 2*r**3*w - r**2*w - 5*w wrt r.\nAnswer: -852*j**2*r*w + 12*r*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1101108219*d**6 + 1236*d**2 - 258286?\nAnswer: 132132986280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1741738826 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.7 (b) 2 (c) 3\/2 (d) 0 (e) 1 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*g - 116 = r - 530, 0 = 3*r - 11*g + 3*g + 7*g - 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6850143*t**4 - 10559*t**2 + 316*t - 2.\nAnswer: -164403432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a - 2 + 0*a - 35*a**2 + 38*a**2 + a**3. What is i(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6872 = -5*l - 33128. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - i = -6*i + 10, 5*i = 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 + r**2 + r. Suppose -12 = 2*a - 4*h, -5*h + 68 - 43 = 0. Let f(x) = -6*x**3 + 4*x**2 + 4*x + 6. Determine a*q(p) - f(p).\nAnswer: 2*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -53 (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.07? (a) 0 (b) -1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 17*z - 5. Let y(w) = 34*w - 12. Let d = 142 + -144. Let u(n) = d*y(n) + 5*b(n). Let r(t) = -t**2. Calculate r(u(c)).\nAnswer: -289*c**2 + 34*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12776 or -6549?\nAnswer: -6549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(1539) + -1*sqrt(1539) - (sqrt(1539) + sqrt(1539)*3 + -3))**2 + -4.\nAnswer: -216*sqrt(19) + 24629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 17, 2, 3\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 12 divided by -1869211\nAnswer: -12\/1869211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -2*f**2 + 3*f - 4. Let m be v(4). Let s = m + 105. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*g**2 - 11*g**2 - 229*g**3 + 84*g**3 + 55*g**3 - 9*g in the form h*g + d*g**2 + w + i*g**3 and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*10\/((-40)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + -7 - (-16 + 16). Let o be t + 376\/56 + (-16)\/(-7). What is the highest common divisor of o and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4254 by 4254.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -0*t + t. Let u(v) = v**3 + 6*v**2 - 2*v - 3. Let z be u(t). Find the common denominator of (-58)\/(-12) + 18\/z and -89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - m = -3. Let n(h) = 2*h**3 + 18*h**2 + 14*h - 11. Let w be n(-8). Suppose w*k + 1723 = 3*r, 2306 - 543 = m*r + 5*k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from seweeewsbqwss. What is prob of sequence wqes?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -92 * 4\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 2 + 12. Suppose p = -5*y - 0, -2*x = 2*y + 68. Let u = x + 56. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-369)\/(-1599) - (-76)\/65.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q = 13*q - 20. Suppose q*y - 15 = -y - 4*d, -d = 0. Differentiate 4 - o**4 + y - 3*o**4 with respect to o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 2*z**3 - 112*z**2 + 6516*z - 364891. Give x(56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(4 + (4 + sqrt(325)*1 + -1 + 0)*-5 + 3)**2.\nAnswer: -8189 - 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3\/4, 11\/3, 1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y. Let a(t) be the first derivative of -5*t**4\/12 + t - 1. Let z(m) be the first derivative of a(m). Determine k(z(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/104288 and -39\/208576.\nAnswer: 208576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 2*g + 9 = 11, -4*o - 5*g = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add 5471 and -0.1.\nAnswer: 5470.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/127 - 121\/381. Let a = -170 + 169.9. What is the nearest to a in 43, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158.294724 hours in weeks?\nAnswer: 0.9422305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 + 5*p**2 + 4*p - 1. Let o be (12\/(-15))\/(-4 - (-58)\/15). Calculate b(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 574 and 7168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -6 + 26. Suppose 0*v = -3*v, -5*v + 130 = l*k. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 60*k**5 + 10 + 6*k**5 + 2*k - 11 - 30*k wrt k?\nAnswer: 1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 2*l - 18 = 0, 3*l - 29 = -137*v + 135*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -1.0631405 to two decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/15)*(x**(-2\/5)\/x)\/x)**(-47) assuming x is positive.\nAnswer: x**(1598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -45 + 41 - (4 + (0 - 1) - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2821.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-6*1\/2)\/(9\/(-12)*58)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, e: 2}. Give prob of sequence ell.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iqtit. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3584 a factor of 1082905600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 68\/45 and -83\/345.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -56201851.4 to the nearest one hundred thousand.\nAnswer: -56200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 21\/17 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 368\/5*d**2 + 8\/5*d**4 - 368\/5*d + 4\/5*d**5 - 28*d**3 + 128\/5 = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 4*w**2 + w. Let h be m(-1). Let i = 0 - 1. Put i, h, -2 in ascending order.\nAnswer: -2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 15*(-20)\/(-108) - 3. Sort -0.1, 0.1, c in ascending order.\nAnswer: c, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * 11.12\nAnswer: 2.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 36 = -3*u. Let f(o) = 4*o**2 + 1. Suppose 12 = -2*l + 2, -4*l = 3*b + 17. Let q be f(b). Solve -q*h - 3 = 3*t - u, -2*t + 2*h = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4424 - 25345?\nAnswer: -34213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 21 = 5*r, v = 4*r - v - 14. Let p = 6 - 2. Suppose 0 = p*h - 8*h. Which is the nearest to h? (a) r (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 - 4*u**2 - u + 2. Let j be f(5). Let i = j - 22. Suppose 0*g - 2*g = -4*z - 16, i = -g - 4*z + 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 56*f*t*w**3 - 28*f*w - 4*f - 10*t*w**3 - 2*w**3 wrt t?\nAnswer: 56*f*w**3 - 10*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 77*x - 333 = -52*x - 1752 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 247580171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-12879)\/(-12) + (6\/8 - 1). Is a + 15\/(-3) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 18*3\/12*(-2)\/12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 89 a factor of 141472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18.006 + 17.906. Let l = 4 - 8. Let r = 2 + l. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6683220739 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 40845 (base 10) to base 3.\nAnswer: 2002000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 + 43. Let f be k\/(-9)*(-9)\/(-6). What is the nearest to 1 in -2, -5, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(((6*(0 + sqrt(637) + sqrt(637)) + sqrt(637))*2)**2 + -2)*-3.\nAnswer: -5167320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31.464*-0.6.\nAnswer: 18.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 64*c**3*g**3 + c**3*g**2*x + 3*c**3*g*x + 43*c**3*x - 17*c**2*g**4*x + 8*c**2 - 2*c*g**2 + 15*g**3*x wrt g.\nAnswer: 384*c**3 - 408*c**2*g*x + 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/4397500 and 43\/10?\nAnswer: 4397500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6354681 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15\/5*-1 + 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 26*j - 11*j + 2*j**2 - 1 - 10*j - 2*j**3 + 2*j**2 - 2*j**4 in the form u*j + t*j**2 + m*j**3 + a*j**4 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 4 = -5*r, -5*v - 12 = 2*r + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 87\/796430 and 71\/5840.\nAnswer: 6371440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*l**2 - 6*l**2 + 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*o = -12*o - 556. Suppose 10*d + o - 679 = 0. Suppose 3*r - 2*z - d = 76, 5*z + 25 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -3*w**5\/7 - 300*w**4\/7 + 927*w**3\/7 = 0.\nAnswer: -103, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -11 - -106?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1106 - -1139. Calculate the remainder when 527 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 9591, 19180, 28769, 38352, 47923?\n\"Answer: -m**3 + 6*m**2 + 9578*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**2 - n**2 - n**2 + 4*n**2 + 3*n**2 - 3*n**2 + (4*n**2 + 0*n**2 - 3*n**2)*(5 - 1 - 3) - 4*n**2 - 6*n + 6*n)*(15*n - 15*n + 9*n**3).\nAnswer: 27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = u - 3596, u + 92 + 626 = f. Find the third derivative of f*w**2 - 693*w**2 - 2 + 4*w**3 + 0*w**3 wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 - -2)\/(6\/4). Let a(o) = o**2 + 9*o + 10. Calculate the remainder when (-74)\/(-4) + y\/4 is divided by a(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -3*t**3 - 212*t**2 + 3051*t - 884. What is j(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 864 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + (2 + 846)\/4. Let v be 2\/8 + (-7)\/(-4). Suppose 3*d = -3*y + 354, -3*d = v*y - 140 - l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/23456 and 61\/23456.\nAnswer: 23456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -14459 * 14136.9\nAnswer: -204405437.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.073026 and 33.3.\nAnswer: 33.373026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 47*q**3 - 469*q**2 + 18*q - 4. Let w be f(10). Solve 73 = -29*d + w for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*2*sqrt(540))\/(sqrt(108)*1))\/((-2*sqrt(81)*4)\/(-3*(sqrt(27)\/sqrt(3) + sqrt(9)))))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 0 - -2) + -16 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 - -9 - (-8 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -44676 divided by 6\nAnswer: -7446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + 7 = 5*b - 6, 0 = -2*b + 38*f - 74 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -7 and -4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 - 17*i**2 + 18*i - 32. Let f be t(16). Let p = 4 + 36. Suppose -4*o - 8 + p = f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8838 and 30?\nAnswer: 44190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 27 + 56. Let j = 52 + r. Let c = -65 + j. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 38026700 to the nearest one hundred thousand.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 655188712 divided by 2\nAnswer: 327594356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26215 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6975156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from leellelell. What is prob of sequence llll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 152377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 6*q = -2*q, -5*q = 2*y. Let c be 4 + (y\/5)\/1. Solve -c = 2*j - j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, 0.18, 2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 5*i - 90, -2*i - 30 = -4*c + 42. Let d be (-4 + 2)\/2 + c. Solve 5*f - 4*g = d, -3*g + 0*g = 3*f + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 AM and 5:35 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-535)\/(-35) - 2 - (-4)\/(-14). What is the greatest common divisor of 143 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -299*u**4 - 1258?\nAnswer: -1196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {m: 7, f: 5, k: 1, h: 1, p: 4, i: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -34*t**3 - 2*t**2 + 2. Calculate q(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3.9 (b) -5 (c) -2\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13202223 - -4?\nAnswer: -13202214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1011101011 (base 2) in base 3?\nAnswer: 1000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11952 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + 190\/(-38)*102\/70?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -18*i + 6. What are the prime factors of t(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 + 2)*(-6*p**2 + 4*p**4 + 6*p**2) + (0 - 3*p**4 + 2 + 4*p**4)*(-10 - 1 - 4) as m*p + h + w*p**2 + f*p**3 + q*p**4 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.6 - -2.6. Let h = r - 0. Let x = 3 + h. What is the closest to 2 in x, -5, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*f - 41*f - 527 = -42*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 217*s**3 + 123*s**2 - 5*s + 24. Is 101 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*m**2 - 4*m**2 - 2*m**2 + 4*m - m**2 - 4*m + (-1 + 3 - 1)*(-m**2 + m**2 + 2*m**2) + m - 2*m**2 - m + 1 - 1 + m**2 + 27*m**2 + m - 2*m - 16*m**2.\nAnswer: 9*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1580468 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 22 = 4*s, -3*r + 6 = s - 13. Let d = r - 2. Suppose -b + 194 = -3*v + 915, 0 = d*v + b - 952. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*u**2 - u**2 - 328*u**3 + 4*u**2 + 325*u**3 as i*u**2 + s + t*u + a*u**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of -2\/1155*u**7 + 79*u**2 + 0*u**5 + 0 + 0*u**4 - 1\/220*u**6 + 0*u**3 + 0*u + 1\/1848*u**8. Suppose i(v) = 0. What is v?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k + 15*k - 11*k + 5*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -4264*q**3 - 2*q**2 - q. Let l be o(-1). Let i = l - 2918. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i**3\/5 - 383286*i**2\/5 - 536571*i = 0. What is i?\nAnswer: -127755, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (8 - 20 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -980601, -1961216, -2941831, -3922446?\n\"Answer: -980615*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3*t - 98. Calculate l(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -73\/9? (a) 0 (b) -8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -11 + -1 + 0 - (306 - 306)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1.7*14.78515\nAnswer: 25.134755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -20122001120 (base 3) in base 7?\nAnswer: -1052364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 + 4*y**2 + 7*y - 4. Let k be p(5). Let g(h) be the second derivative of h**5\/20 - h**4\/2 - h**3\/2 + 2*h**2 + 13*h + 25. Give g(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 5*t - 23, -3*y + 1 - 4 = 3*t. Suppose -t*b = -0*b + 48. Let a be -4*2\/b*2. Calculate the highest common divisor of a and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d**11*d)*d)**(-10) assuming d is positive.\nAnswer: d**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*z + 0*z**2 - z**2 + 3*z - z**4 + 3*z**2 to p*z**3 + o*z**4 + s + t*z**2 + j*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -2*y**3 + 25*y**2 - 49*y - 71. What is l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 9*i**2 - 23*i + 100. What is u(-11)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/12 and -59\/6150288?\nAnswer: 6150288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 4 + -2 + 12 + 16 + -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -28? (a) 2 (b) -3\/5 (c) 1 (d) 3\/431 (e) 1\/3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -12, -13, -14, -15, -16?\n\"Answer: -t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*k = -36*k. Let h(m) = -3*m**3 - 15*m**2 + 1. Let t be h(-5). Let y be (0 + 2 + -3 + k)\/t. Which is the closest to -1? (a) 1\/6 (b) 2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 - 132*h**2 - 262*h - 260. Let w be s(-130). Solve -3*u + 4*u + 5 = w, -2*q = 4*u + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35.20957 years in months?\nAnswer: 422.51484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4335 - 4276. What is the remainder when 3303 is divided by l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - -1312?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 4*f + 60 = 0. Let o = 291 + -270. What is the remainder when o is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17143 is divided by 8302?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/296 and -15\/592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*p - 3*m = -25*p - 15, m = -3*p + 13. Solve p*c + 4 = -k - 1, 3*k - 21 = 3*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(153) + 4 + 1 + sqrt(153))*1)**2 + (-4 + (2 + sqrt(153))**2)*-1.\nAnswer: 48*sqrt(17) + 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 468*y**2 - 875*y**2 + 392*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 8.820939 kilograms?\nAnswer: 8820.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 342829286 rounded to the nearest one hundred thousand?\nAnswer: 342800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*l*y**2 + 5965*l*y + 10119437*l - 318*y wrt y.\nAnswer: 4*l*y + 5965*l - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 14, f: 5}. What is prob of picking 3 f?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (3 + (2*(sqrt(3630) + (-2*sqrt(3630) - sqrt(3630)) - sqrt(3630)))\/(sqrt(150)*-2*2))**2.\nAnswer: 99*sqrt(5)\/5 + 1169\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2413003321 + -1?\nAnswer: -2413003322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, g: 1, v: 4, w: 2, y: 1}. Give prob of picking 2 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a, 1 i, and 1 f when four letters picked without replacement from ukikifiakaaiifiua.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3701 is divided by 216?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -46 + 60.5. Let i = 14.6 - x. What is the fourth biggest value in 0.2, i, -1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1421 + 1425. Let x(t) be the third derivative of 8*t**2 + 1\/210*t**6 - 2\/105*t**5 + 0 + 4\/21*t**3 - 1\/42*t**k + 0*t. Determine g so that x(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(17)*-2*-4 + (3 + sqrt(17) + 1 + sqrt(17) - (sqrt(68)*-2)\/sqrt(4)))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4016\/(-57730))\/((5\/(-125))\/((-9)\/(-45)))?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:26 AM and 11:04 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 970 divide 1067970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/1591 + -49330\/14319. What is the common denominator of 2 + 4\/(-7) - -5*1 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + -2 + -15 + -28 + 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12296744.56 rounded to the nearest 1000?\nAnswer: -12297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of -11 and 3383.\nAnswer: -37213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -40015*a**5 + 400120*a**4 - 1320195*a**3 + 1439550*a**2 + 1080*a = 0.\nAnswer: -6\/8003, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (196\/245)\/(5\/20*(-12)\/5).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1217754?\nAnswer: 2, 3, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4*((-3)\/(-1))\/(-3). Let g be 17 - 7\/(14\/z). Is 1\/(-6) - g\/(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -43313739, -3.\nAnswer: -43313739, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -2 + -11 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 1053*z - 7360. Give a(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1374470494.169+-19.9\nAnswer: 1374470474.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 1\/30*m**6 + 0*m**4 + 0*m**5 - 2*m + 0*m**3 - 7\/2*m**2 + 0. What is the derivative of q(d) wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10097*l**2*p**2*u + 35*l**2*p*u - 181*l**2 + u wrt p.\nAnswer: 20194*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 270708 is divided by 12276?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 + -51234?\nAnswer: -51237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, q: 1, n: 7, k: 2, r: 6}. What is prob of picking 2 p, 1 n, and 1 r?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together 9 and 0.0397.\nAnswer: 9.0397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bjbbbpgjbdbtgb. What is prob of picking 2 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 11\/10 of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13.072 - -0.228. Let z = 22.8 + j. Let p = z - 34. What is p rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*v - 30*v + 83*v**2 - 91*v**2)*(3*v - 4*v + 3*v) to l*v**3 + x + g*v**2 + k*v and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + 9 + -4 + (0 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 91*f**4 + 8*f**3 - 64*f**2 - 8*f + 29. Let y(a) = -a**4 + a**3 - 8*a**2 - a. Let p(b) = m(b) - 8*y(b). Differentiate p(w) with respect to w.\nAnswer: 396*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a week in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/(-88)*(-8)\/(-40)*15)\/9.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2. Suppose 0 = -d - 3*d - 24. Let t(x) = -15*x. Let k(p) = -4*p. Let g(f) = d*t(f) + 22*k(f). Calculate g(n(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1 >= 1\/27939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 + 1. Let i(q) be the third derivative of -7*q**6\/360 + 5*q**4\/24 - q**3 - 9*q**2. Let o(l) be the first derivative of i(l). Give 5*a(f) - o(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3 (b) -0.2 (c) 51 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wuuwuwwuwww. What is prob of picking 3 w?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 249 + -249 - (31 - (3 - 2 - 1))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5509586629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(-4)*k*(k*k**(-2\/13))\/k*k*(k\/k**(3\/4))\/(k\/(k\/(k*k**6))))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 40c18 (base 13) to base 9\nAnswer: 186464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4542.961 millennia in years?\nAnswer: 4542961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 0.38 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: What is the second smallest value in 7.548, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931)*-2)**2 + 1 + 1 + 4*sqrt(304)*-2 + -2.\nAnswer: -32*sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.088931, -0.1, -2?\nAnswer: -0.088931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 3*b = 3*m - 15, 5*b = 4*m + 8. Suppose m*w - 310 = -2*s, -5*w = 3*s - 640 + 175. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - -4)*((-204)\/(-18) + -11). Sort 0, -1, r.\nAnswer: -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*u + 2*m, 5*u - 9*m - 10 = -4*m. Let o = 757\/36 - 85\/4. Which is the nearest to 0.1? (a) -0.01 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 34 + 16 + -20 + -15 - 50?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.014 - -1.9. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - 16. Let v = c - -15. Suppose 2 + 6 = -4*z. Put v, -5, z in descending order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.172762 take away 305314?\nAnswer: -305316.172762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:30 PM and 9:54 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 10152 + -5?\nAnswer: 10145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-13\/2)\/(c*c**(-6)))**31\/(((c\/((c*c**(-3\/4))\/c))\/c)\/c*c**(-6)*c)**(-30\/13) assuming c is positive.\nAnswer: c**(-762\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 6*m + 3. Let k(n) = -2*n - 1. Suppose 0 = -194*g + 261*g - 134. What is g*x(c) + 7*k(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 61865211 * -4.\nAnswer: -247460844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9374314 and 1105628.\nAnswer: 11762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6418, -11785, -17152, -22519?\nAnswer: -27886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l**2 + 6*l + 5. Determine i(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -85, -167, -249, -331, -413, -495?\n\"Answer: -82*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18922 is divided by 6221?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12687652 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m - 9. Let f(x) = x + 8. Let p(j) = -2*f(j) - 3*t(j). Let k be p(-6). Calculate the least common multiple of ((-12)\/k)\/(8\/(-60)) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/15)\/((-35)\/(-21))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5751*s + 69*s**2 - 5726*s - 377*s**2 + 11477*s.\nAnswer: -308*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-2\/5))\/(a\/(a**(-3\/5)*a)))**(-4) assuming a is positive.\nAnswer: a**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -417, -831, -1245, -1659, -2073?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 84476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*j**2 + 8 - 8 + (3*j**2 - 2*j**2 - 2*j**2)*(-6 + 4 + 3))*(0*j**3 - j**3 + 3*j**3).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.4 - 33.4. Let p = 448 - 418.55. Let i = q + p. Round i to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 410792.\nAnswer: 2, 51349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a**5\/15 - 26*a**4\/15 - 38*a**3\/5 + 78*a**2\/5 + 288*a\/5 = 0. What is a?\nAnswer: -3, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2\/47 - 151\/235. Suppose -5*p + 12 = -p. Let x be p\/(9\/(-12)*18). What is the nearest to -0.1 in o, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times 671\nAnswer: -2684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-32)\/(240\/(-15)) + 12\/(-14)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes before 11:54 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/14)\/((-22)\/77)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = 3*d + 7, -395*n - 5*d = -392*n + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 5*v**2 + 2563*v + 32322. Calculate r(-13).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 37.2875 to 1 decimal place.\nAnswer: 37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of -t**8\/336 - t**4\/12 + t**2 - 3*t. Let s(q) be the first derivative of d(q). What is the second derivative of s(v) wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -559705 or -0.1?\nAnswer: -559705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -181314772*a**3 - 2*a + 590899125 wrt a?\nAnswer: -1087888632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(147) + sqrt(147))**2 - (sqrt(432))**2.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4620 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 60639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-73 + 75)\/(4\/20738). Is t >= 10370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 + 365.08.\nAnswer: 347.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43783.\nAnswer: 43783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24696351\/38005 + -7148\/11. Let t = r + -138207\/24185. What is the common denominator of t and 46\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/314*57\/(-38). Is 1 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9*16.1.\nAnswer: -144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of 0*l**3 + 0*l - 13\/24*l**6 - 51*l**2 - 1\/10*l**5 + 0 - 1\/8*l**4. What is the third derivative of m(n) wrt n?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 95\/7 in -1\/4, 6\/13, -3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9*((-2548)\/(-15246))\/(-91).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-20))\/((-9)\/45)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, 0 in increasing order.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -2. Suppose 37 = -6*o - 113. Let b = 36 + o. Let v(h) = -6*h - 14. Let c(t) = -2*t - 5. Calculate b*c(m) + x*v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 202\/5 - 40. Which is the third smallest value? (a) 2\/3 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 3*w - 17 = 0, -2*b + 5*b = w + 15. Which is bigger: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6165279317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -3*d**2 - 60*d + 15. Does 58 divide w(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, f: 1, e: 1, v: 2, r: 1, b: 1}. Give prob of picking 1 w and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 16 = n, 1113*k - n = 1117*k + 52 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 - 171. Let c be o(0). Let p be (2\/(-3))\/(3\/c). Does 14 divide 5\/10*p\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.496 - 0.596. What is the closest to o in 3, -41\/5, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 162948142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1\/6 - -1\/4. Let z(j) be the second derivative of n*j**3 - 1\/120*j**5 - 1\/6*j**2 + 4*j + 0 + 0*j**4. Determine t, given that z(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + y - 6 = 0. Let i be y*(-1)\/(1 - 0). Solve 2*a - p + 2 = 0, -3*a = -2*a - i*p - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3*(2 + -1)*1. What are the prime factors of 1*(-11)\/(2 - l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106671779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -22636 + 0?\nAnswer: -22636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.577 * -3.245\nAnswer: 1.872365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 399 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 z when three letters picked without replacement from zrzryyyyrryryryyyk?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-5)*((-22200)\/(-480))\/(15\/(-12)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 3*d + 10 = 0. Let s(n) be the third derivative of -3*n**4\/8 - 5*n**3\/6 - 2*n**2. Does 20 divide s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (785\/(-157))\/(25\/(-155))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(333\/54 + -6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1073.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 30 = 5*p, 0*p + p - 2*x = 2. Let b = p + 12. Suppose -b*m - m + 245 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 + 166*k**2 - 482*k - 26. Give v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -27*l + 31*l + 3*r, 0 = -4*l - 2*r - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 24\/60*(2 - -18). Let v(s) = -s - 3. Calculate v(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*w**3*z**2 + 2*w**3 + 41*w**2*z**2 - 16*w*z + 2*z wrt z?\nAnswer: 12*w**3 + 82*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (9 + -5)\/(6\/3282) and 8.\nAnswer: 4376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2\/17 (b) -0.3 (c) -15355 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(750))\/(sqrt(250)*-1 - sqrt(10)))**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and 7245 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 0.3397288us?\nAnswer: 0.0000003397288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2*q**2 - 2*q - 1. Let g(h) = -9*h**2 - 6*h - 5. Let f(t) = -2*g(t) + 10*m(t). Determine f(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -322*g + 303*g + 494. Suppose 2*v - 192 = -2*v. Calculate the remainder when v is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 4 - 687*x - 3.\nAnswer: -687*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 8 = -6*a. Let m be (1\/(-3))\/(a\/30). Factor 6\/7*z**m + 2*z + 44\/7*z**3 + 2\/7 + 26\/7*z**4 + 36\/7*z**2.\nAnswer: 2*(z + 1)**4*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.02 and -127937440.\nAnswer: -127937439.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2 - 613*a - 10059. Give l(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 24*a - 31. Determine j(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22796, 22832, 22868?\nAnswer: 22904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 6*w - 4. Let r be l(4). Suppose -2*x = 2*m - 8, m + r*x - 4 = 3. Solve -m*f = -7*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-29)\/(-57) - 284\/426.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*u = 32*u + 1750. Is (u - -23)\/((-2)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26665 is divided by 4877?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 4*v - 4. Let z be v\/((2\/10)\/1). Let t = -3 + z. Solve l - 5 = -4*y, -t*y - 7 = 5*l - 32 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62829 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2\/8 - 2303*v\/8 - 44479\/4.\nAnswer: (v - 2341)*(v + 38)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -1a6?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:53 AM and 3:09 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15 in 2\/9, -0.7, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -2630460 (base 9) in base 6?\nAnswer: -50445513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-66) + (93\/(-33) - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -j + 6*j - 7. Let q(t) = -t**2 + 2*t + 30. Give q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 + (-2 - 3 - -3 - (1 + -6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4a5db - 3?\nAnswer: -4a5de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the third derivative of 0*j + 1\/2*j**4 - 1\/60*j**5 - 37*j**2 + 71\/105*j**7 + 0*j**6 + 0 + 0*j**3. What is the third derivative of n(o) wrt o?\nAnswer: 3408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of -119*m**4\/12 + 8*m**3\/3 - 6*m**2. Let x be n(-7). Let d = x + -15115\/9. Calculate the common denominator of d and 3\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 7*o - 4. Let i(c) = 3*c - 2. Let f(x) = 4*h(x) - 9*i(x). Calculate f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16\/3881 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0465515962 rounded to 5 dps?\nAnswer: -0.04655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 4.57497 months?\nAnswer: 0.003812475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 148 = -3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3\/10 + 9\/2. Is 4 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 27*x**5 + 66*x**5 - 32*x**5 + (0*x - 2*x + 3*x)*(-2 + x**4 + 2) + 0*x**5 - 6*x**5 + 4*x**5 + 4 + 2*x**5 - 4 + 7 - 9*x**5 - 7.\nAnswer: 53*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*0.18.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30723 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 2*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 126324*f**4*x**2 - 3*f**2*x**2 - 3*x**2 + 11*x + 2441 wrt f.\nAnswer: 505296*f**3*x**2 - 6*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153556032 is divided by 361?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -117\/4 - -30. Let s = y + -1\/4. Is s less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 124761848 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 574, -211, -0.3, 4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -18112 divided by 4528?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 22*o - 60. Suppose 19*u = 22*u - 9. Let a be s(u). Solve 3*y - a = 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3114687901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -114200 - 10222103?\nAnswer: -10341303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -3*v - 4*v. Let c be -312*(-1)\/(-3)*v. What is the tens digit of (-1)\/(-4) + c\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -0.1, -1\/2, -36, 0.12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n + 18 = 7*s, 2*n + 0*n - 8*s + 8 = -5*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 95230 and 1189930.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1.5+-109243277\nAnswer: -109243275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.25626975 to 4 decimal places.\nAnswer: -0.2563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5608414574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 97, 237, 623, 1381, 2637, 4517, 7147?\n\"Answer: 21*x**3 - 3*x**2 + 2*x + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 322*m + 632*m + 2*m**2 - 309*m to p + r*m + n*m**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/((-3)\/(-2)))\/(8*(-27)\/1296)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/2856 and (10\/(-4896))\/(988\/5187).\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-75)\/(-6))\/((51\/(-34))\/(-2 + -1)). Which is smaller: f or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 - 14. Find the third derivative of 0 + 2*w**2 + 4*w**3 + 0 + a wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21405 (base 6) to base 2.\nAnswer: -101110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 143982.6647 rounded to the nearest 1000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-122)\/671 + (-4496)\/(-44). What is the greatest common divisor of 118 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -92 + 262. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 - 37.3. Let p = -14 + 12. Let m = v - p. What is the closest to 1\/5 in m, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1\/(1 - 3 - (-70)\/34) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 654, 1289, 1912, 2517, 3098?\nAnswer: 3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - (1 - -2)) + -9 + 0 + (11 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63*g + 62*g + 58 = 0. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 2*w + 4*z + 22 = 5*w, 4*z - 9 = -3*w + 5 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 355593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/(sqrt(27)\/sqrt(3)) + 3*(sqrt(5) + 1).\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 20\/(-8)*(-98)\/(-5). Let f = g - -837. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29945 + -19259. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/70 and 76\/26845?\nAnswer: 53690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3956957665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (d**2 - d + d)*(2*d + 0*d - 4*d) - 3*d**3 + 0 + 0.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 0, 6, 0.3, 4\/13 in descending order.\nAnswer: 6, 4\/13, 0.3, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p*((p*p*p*p\/(p*p*p**(-2\/5))*p*p*p)\/p)\/p*p)\/p))**(12\/13)*(p*(p\/(p\/(p\/p**9)))\/p*p)\/p*p**(-5) assuming p is positive.\nAnswer: p**(-1049\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = -u + 2, 5*k + 199*u = 200*u - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2665*y**4 + 3*y**2 + 562*y.\nAnswer: 63960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -1\/13 (c) -3\/7 (d) 321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 5 - 5)*(-2534 + 2469 - 6140).\nAnswer: 12410*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pypyzyzzzyzzzzyzy. Give prob of sequence yp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -z = -2*t - 3, -15*t = -z - 18*t - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*t - 16*t + 40 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-5) - (0 - 0). Let w be ((-10)\/15)\/(1120\/240). Sort w, q, 0, -3 in decreasing order.\nAnswer: 0, w, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 22 (b) -1\/19 (c) 1\/4 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*q**2 - 8*q**2 + 1390 - 698 - 692.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 13 - 2*x**3 + 23*x - 23 + 24. Let m(o) = -o**3 + 8*o + 5. Calculate 3*l(c) - 8*m(c).\nAnswer: 2*c**3 + 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-240)\/836 + 26\/247.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*a - 1220 = -1594. Solve -a*z = 2*z + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in 0, 198, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (19*h**4 - 7*h**2 + 229*h**4 - 28*h**4)*(2 - 4 + 0) to the form k + s*h**4 + j*h + q*h**3 + m*h**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 58 - 82. Let x be 158\/22 - h\/(-132). List the prime factors of 73\/7 + 4\/x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-21) + ((-43)\/7 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*v - 17*v + 2*t = -1556, v + 4*t = 783. Calculate the remainder when v is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (20\/(-6))\/((70\/(-5985))\/((-7)\/42*-2))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 = 3*c - 220. Calculate the remainder when 156 is divided by c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -49 + 45. Which is the closest to 4? (a) l (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the first derivative of z**2 + 1 - z**4 + 1\/3*z**6 + 0*z**3 + 0*z + 0*z**5. Factor c(n).\nAnswer: 2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 - 46*q**2 - 51*q + 184. Let p be m(47). Put -126, 5, 0, 2, p in increasing order.\nAnswer: -126, p, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -8, -2148039, -0.5 in decreasing order.\nAnswer: 1\/2, -0.5, -8, -2148039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/((v*v**(-2\/5))\/v))\/v*v)**(2\/29)\/(v*v**(4\/5)*v**(-1))*(v**(-2\/19)\/v**(-4))**(-47) assuming v is positive.\nAnswer: v**(-506248\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 179799 in -4, 0, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/6*(-119214)\/(-537))\/(4\/2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -14*x**2 + 28*x**2 - 3*x**3 + 5*x**3 - 6*x**2 - 3*x**3 + 15 in the form i*x**2 + z*x + t*x**3 + v and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 - 2*r. Suppose 0 = 5*w - 20, 4*c - w = -2*w - 16. What are the prime factors of u(c)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*z - 6 - 2*z**3 + 11*z)*(2*z + 0*z + 0*z)*(-3*z - 9*z - 6*z).\nAnswer: 72*z**5 + 216*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of g**8\/2520 - g**6\/180 + g**5\/90 - 7*g**3\/6 + 6*g. Let y(u) be the second derivative of n(u). Factor y(f).\nAnswer: 2*f*(f - 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (45\/(-10) - -5)*208. Let d = t + -97. Let h(u) = u**3 - 8*u**2 + 7*u - 10. What is h(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -13. Suppose r = 3, 5*l = x*l + 4*r - 3. What is the nearest to 0 in l, -0.2, -15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 141*a**2 - 322*a + 145. Calculate c(2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + sqrt(1872) + -1 - sqrt(143)\/sqrt(176))**2*5.\nAnswer: -255*sqrt(13)\/2 + 169145\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 7 + -2 + 12 + 8. Let g be (-5)\/(x\/(-115)) - -3. Solve 3*s - 5*d = 2*s + 15, 4*d = -2*s - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*j - 269 - 67. What is the greatest common divisor of j and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 2 (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (429\/(-264))\/((-24)\/384)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3193 + -3192.981814. Round n to four decimal places.\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - r + 97 = 0, 2*r = -r - 9. Solve h + 5*s = -4*h - k, 0 = -2*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 8 = -z. Suppose -r + z*r = 0. Suppose x - 9 = 3*s, -2*s + r*s = -6. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 766465281 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 2*o - 4. Let l(t) = t + 265 - t**2 + 267 - 533. Determine -4*l(f) + s(f).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-5))\/(140\/(-350))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -t**2\/5 - 69808442*t\/5 = 0.\nAnswer: -69808442, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2\/142801 + 13851833\/9710468. What is the common denominator of -131\/24 and l?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*g**2\/2 - 250*g + 495\/2.\nAnswer: 5*(g - 99)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 6*m**2 + 11*m - 17. Let i(b) = 3*b**2 - 1 - 8 + 6*b + 0*b. Let h(g) = 5*i(g) - 3*x(g). Determine n, given that h(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:57 PM and 9:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of -d**4\/4 + 10*d**3\/3 + d**2\/2 - 10*d + 1. Let h be o(7). What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 33796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -116*d + 2588 + 674 - 371 = 339 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 554*p + 479*p + 42353 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*t - 2 = -16*t, -2*i - 3*t - 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/23)\/(4*89). Let j = x - -17396\/14329. Let b = 90499\/12 + -7529. Calculate the common denominator of b and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -3*d**3 - 42*d**2 - 3. Let s(g) = -15*g**3 - 209*g**2 - 15. Determine 2*s(h) - 11*t(h).\nAnswer: 3*h**3 + 44*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence taqa when four letters picked without replacement from {t: 4, a: 3, s: 1, k: 4, q: 4, d: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2\/7)*g\/g**(2\/5)*(g**(-1\/3))**(-38))\/((g**(2\/23)\/g**(-4))\/(((g\/(((g**(-1)*g)\/g)\/g))\/g)\/(g*g\/(g*g\/(g**(2\/3)\/g)*g)))) assuming g is positive.\nAnswer: g**(9843\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2338 - 10098. Let k = x + 279335\/36. Calculate the common denominator of 71\/12 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**3 - 2*h**4 + h**3 + (-1 - h + 1)*(-h + 0*h - h)*(3*h + 292*h**2 - 145*h**2 - 149*h**2).\nAnswer: -6*h**4 + 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 44 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3225738 and 43026.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**2. Let m(d) be the third derivative of 0*d + 0 + d**2 + 0*d**4 + 0*d**3 + 1\/12*d**5. Determine m(i(c)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + (6\/(-2) - 0). Let j(z) = z**2 - 12*z - 22. Let q(n) = -2*n**2 + 26*n + 43. Let t(b) = a*q(b) - 10*j(b). Factor t(k).\nAnswer: 2*(k - 19)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*(o\/((o\/(o**(-1\/2)*o))\/o*o))\/o)\/(o\/((o*o**(2\/17))\/o)))\/(o\/(o*(o*o**(2\/5))\/o*o))**(9\/5))\/((o**(-1))**(4\/7))**45 assuming o is positive.\nAnswer: o**(165719\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j + 8. Let u be y(8). Let i = -0.2 + 0.6. Let h = 6 + -4. What is the closest to h in 3\/2, u, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011100 + -101?\nAnswer: 10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w - 7. Let a be x(-5). Suppose -a + 10 = v. Let b(d) = -d + 8. Let p be b(5). Solve p*f - 4 = -v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the second derivative of -x**3 + 3*x**2\/2 + 28*x - 4. Suppose -2*l = 5*r + 4, 0 = 5*l + 5*r - 5. Calculate n(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -65, -181, -297, -413?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add 0.1 and 0.642.\nAnswer: 0.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3535)\/1010*4\/12*12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -2*g**2 + 1628*g + 7*g**2 - 1628*g. Let a(f) = -f - 3*f + 2*f. Determine w(a(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*n - 4*n - 10*n - 9*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 324, 330, 330, 324, 312, 294?\n\"Answer: -3*u**2 + 15*u + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -87\/13276 and 57\/8.\nAnswer: 26552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 700 a factor of 2371043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18, -65, -182, -405, -770, -1313, -2070, -3077?\nAnswer: -4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -843.91 in -0.23, 3, 0?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 + 1aaa32b1?\nAnswer: 1aaa32b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**2 + 5*d + 4. Let k be l(5). Suppose 3*u = 6*u. Let v be 47\/(-11) + (-318)\/(-1166). Sort u, k, v in descending order.\nAnswer: k, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 141 = -0*k. Let q = k + 233\/5. Which is the nearest to 1? (a) 4 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3327 - -3332. Which is the fourth smallest value? (a) 1\/3 (b) v (c) 11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -798 + 1983. Is i a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -13 (c) 11 (d) 0.4 (e) 6.66 (f) 4 (g) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, -3, 4\/15, 3, -1\/2 in descending order.\nAnswer: 3, 2\/3, 4\/15, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 + 8*k + 10. Let v be z(7). Suppose s + 5 = v. 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: Collect the terms in 4 - 82*v**3 - 4 + 132*v**3.\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -7 + 7 - o + 3*o. Let r(m) be the first derivative of 4*m**3\/3 + 21. What is r(v(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1214.3211 + 1213.8. Let w = -0.0211 - o. What is the smallest value in 0.87, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*f**2 - 4*f**2 - 4*f**2)*(0*f - 25328 - f + 25748).\nAnswer: 4*f**3 - 1680*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 51*u**2 + 1582 - 1585 - 48*u**2 + 13*u. Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -34\/11 in 559\/2, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8739045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02937872 to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 505187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-2\/27))**(-2\/9)*a\/(a**(-2\/35)*a)*a\/(a*a*a*a**22))**15 assuming a is positive.\nAnswer: a**(-203494\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(280)\/sqrt(112))\/sqrt(5) + -1*((sqrt(8) + 0)*6)**2.\nAnswer: -288 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 320549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -4935 divided by 3\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + -410155?\nAnswer: -410151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5838475 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-5564)\/(-432) + -13 + (-1)\/(-12). Let g be (-1 - 0\/(-1))\/(-1). Is g at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zd when two letters picked without replacement from {r: 2, e: 1, d: 2, z: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + 2 + (-6 - -11) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 288*w**2. Let n(v) = 1331*v**2. Determine n(c(z)).\nAnswer: 110398464*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 478 + 474 - 1421 + 15*p + 469.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3 - ((-2)\/(36\/39) + -1). Suppose 0 = -11*f + 26 - 15. What is the nearest to f in -5, 18, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 306147557\/780 - 392497. Find the common denominator of -111\/2860 and m.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22001\/11994 - 2\/1999. Let z = 0.04 + 0.06. Suppose 4*u + 11 + 5 = 0, -5*w = 4*u + 21. What is the closest to z in p, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 88761.6 - 16\nAnswer: 88745.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 + 177*o**2 + 231*o - 9398. Give j(178).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + 782330?\nAnswer: 782330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 178 (b) -707 (c) 1\/11 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -176*p + 201*p + 275 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 3*y**3\/2 + 8589*y**2\/2 - 161007*y - 165300 = 0.\nAnswer: -2900, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 627341 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85 = -q + 2*h, -2*q = -2*h - 15 - 149. Suppose -77*k + 661 + 571 = 0. Calculate the remainder when q is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 13 = -2*c, -7*s + 4 = -4*c - 3*s. Suppose -c*k + 495 = 3*k. Let a = k + -89. Solve 5*r - 4*z + 4 - a = 0, -1 = -z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.25*130614.2.\nAnswer: 32653.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 186772805755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -46 = 4*f - 2*t, -106*f + 110*f - 25*t - 131 = 36*t for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v**2 - 2*v - 3. Let i be c(6). Suppose 11*z = 4*z + i. Suppose -2*n - z*s = -n - 45, 0 = -5*n - 5*s + 275. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -43*p**4 + 59*p**4 + 49*p**4 + (3*p + 2*p - 7*p)*(p**2 - 2*p**3 - p**2) - 48*p**4 + 101*p**4 - 37*p**4.\nAnswer: 85*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52188 = -61*u + 26807. Is 37 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10bb43a (base 12) to base 7.\nAnswer: -36325504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k + 3*p - 36 = 0, 3*k - 2*p = -592 + 608 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 110000101111 (base 2) to base 9\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/5, -17\/32, -3\/2, 0.3, 1\/5 in descending order.\nAnswer: 6\/5, 0.3, 1\/5, -17\/32, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -10*c - 45. Calculate f(8).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -124*f**5 - 427*f?\nAnswer: -2480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80*h + 84*h = -116. Suppose -q = 14 + 19. Let f = h - q. Which is the third smallest value? (a) 0 (b) 2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6300)\/1008)\/(10\/(-32)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xaccaacbaxcnnckxck. What is prob of sequence kb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -3*g + 17, -4 = 3*j - 0*j - 2*g. Suppose j*w = -2*w - 8. Let c(s) = 8*s - 1. Let k be c(w). What is k rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 432 and 336.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and 202\/221 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of 2 and 214.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -63\/1856 and 69\/464.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30889)\/(-10166) + (-1 - 2).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**3 - 4*p**2 - 3*p - 7. Let r be j(5). Suppose r*h - h - 66 = -5*g, -2*h + 52 = 4*g. Does 8 divide 368\/12 - (g\/(-6) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1775166466 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -55 - -56. Solve p = -u + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 26550266 or 26550282?\nAnswer: 26550266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8512290 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {k: 5, e: 3, s: 1, z: 2, g: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 6 = -4*c, -4*c - 5*o = -15 - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 9, i: 11}. Give prob of sequence ii.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the third derivative of -c**4\/24 + 5*c**3\/6 - 16*c**2. Calculate r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1*(-21)\/7)\/7. Put -3\/2, 1\/5, l, 0.4 in increasing order.\nAnswer: -3\/2, l, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (76\/(-10))\/((20\/(-70))\/(5\/(-7)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30870454.\nAnswer: 2, 15435227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (s + 1 - 1)*(26*s - 5*s - 12*s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 5*u - 30 = -8, -2*r + 4*u = -44. Calculate the smallest common multiple of r and -2 + (88\/(-110))\/((-1)\/10).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21 + -7. Let g = -29 - k. What is the nearest to g in 0.3, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 20 = -5*h, h + 22 = c - 5*c. Let m be (3\/9)\/(h\/(-18)). Suppose m - 9 = -p. Solve 25 = -w + p*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (2 + -17 - -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-6*-1*sqrt(630))\/sqrt(10) + 2.\nAnswer: 2 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z + 17*n - 97, 3919 - 3868 = -14*z - n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 18727481 to the power of 1\/2, to the nearest integer?\nAnswer: 4328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - (9 + -7 - 6) - (4 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 2*x. Let v(q) be the second derivative of 1\/21*q**7 - q + x*q**3 + 1\/6*q**4 + 3\/10*q**5 + 0 + 0*q**2 + 1\/5*q**6. Solve v(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 4 - -2) + 58 + -10 + 30 + -48.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -605 - 2281288*a**3 + 605 + 1140646*a**3 + 1140643*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*(-6)\/(-16)*(-20)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 919 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - z - 12 = -3*h, -z + h + 3 = 0. Let s be (z\/3)\/((-1)\/(-2)). Suppose 4*k + 4*g - 52 = 0, s*k + 4*g - 11 = 13. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 46*u + 83*u - 2 + 3*u**3 - 3*u**3 - 51*u + u**2 - 2*u**4 - u**3 to the form y*u + c*u**2 + l + d*u**3 + a*u**4 and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/18)\/((-20)\/(-120))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 703363346.\nAnswer: 2, 7, 71, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2009 or -16867?\nAnswer: -2009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 97800546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 6*k**3 + 3*k**2 + 3*k. Let n be q(-2). Let u = -36 - n. Let v(a) = a**2 - 4*a. Give v(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -146*k + 307 - 113 = -98 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 652603 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4810 and 84593?\nAnswer: 79783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 283, 755, 1243, 1747, 2267, 2803?\nAnswer: 3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 58*i + 248. What are the prime factors of b(10)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 7 - 22. Suppose 2*a = h*a - 27. What is the remainder when 25 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 196 = -0*j. Calculate the greatest common factor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 3, -11, -166\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 3*p + 46, t + 5*p + 2 = 2*p. Let q be (2\/t)\/((-7)\/84). Find a, given that 2\/7*a**4 - 4\/7*a**q + 4\/7*a - 2\/7 + 0*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6630, -13925, -21884, -30507, -39794, -49745?\nAnswer: -60360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -1. Let w be (-14)\/(-18) - ((-94)\/18 + 5). Let m(t) = 3*t**2 - 2*t - 1. Calculate w*m(a) - 3*y(a).\nAnswer: 3*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -598*h + 591*h - 15*h**2 + 3*h**2. Let n(t) = -24*t**2 - 15*t. Calculate 4*n(w) - 9*u(w).\nAnswer: 12*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1279 - -1283. Solve 16*n = 20*n + h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23 + 8.9. Round l to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**3 - 5*d**2 + d + 3. Suppose -2*i - 20 = 3*i. Let g = i - 1. What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1506691619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*n**3 - 1162920*n**2 + 17899262*n?\nAnswer: -42*n - 2325840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + (-12)\/8*-3)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2448 divided by 48297?\nAnswer: 48\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -1. Let m(j) = j**2 + 15*j - 8. Let a(q) = 3*g(q) - m(q). Let v be ((-234)\/27)\/((-2)\/(-3)). Is a(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 3 + 0 - 4*r**2 - 5*r - 1 + 5*r**2. Suppose n + 20 + 3 = 4*i, -9 = -2*i + 3*n. Give h(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 10 + -62 + 24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -11*p + 105. Let a be x(0). What is the third derivative of 2*f**3 + a*f**4 - 354*f + 708*f - 147*f**2 - 354*f wrt f?\nAnswer: 2520*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -177*s + 70. Let f(t) = 88*t - 36. Let h(m) = -7*f(m) - 3*p(m). What is the tens digit of h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-14)\/(-49) - (-149)\/(-7). Let h be ((-12)\/50)\/(i\/70). Which is the closest to 0? (a) h (b) 1\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 2118629.\nAnswer: 847451.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 14*v - 262. What is m(15)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1\/3, 3\/4, 84, -1\/2, -30.\nAnswer: -30, -1\/2, -1\/3, 3\/4, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -563, -560, -557, -554?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*3.006595.\nAnswer: -3.006595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 87*z - 1040. Calculate d(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.001? (a) 0.4 (b) -4 (c) 325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1824670.\nAnswer: 2, 5, 182467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 13*a + 11*a = 17, -4*s - 3*a = -46. Suppose 0 = -11*i - s*i + 768. What is the least common multiple of 16 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, 40542.\nAnswer: -3, 3, 40542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 35*r**2 + 3*r - 3. Let g(m) = -71*m**2 - 5*m + 5. Give -3*g(n) - 5*x(n).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 110337, 220672, 330993, 441294, 551569, 661812, 772017, 882178?\n\"Answer: -u**3 - u**2 + 110345*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3504)\/9 - 3)*(-16 - -13). Calculate the highest common divisor of h and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8)*1*1)\/sqrt(4).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*j - 30*j - 5 = y, 4*j - 52 = -4*y. Let u(v) = v**3 - 10*v**2 + 11*v - 28. Determine u(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 53 and 29097?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.108, 3, -9, 0, 11, -2\/13, 5 in increasing order.\nAnswer: -9, -2\/13, -0.108, 0, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 6 = -5*r. Let w be 2\/(-5) + (-17)\/(-5). Let n(t) = 0*t**3 - 3*t**w + 5*t**3. Let l(y) = 7*y**3. Give r*l(b) + 22*n(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2631484067?\nAnswer: 37, 103, 823, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -18 or -80?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 - 1. Suppose -3*t - 2*t - 122 = 4*h, h + 102 = -4*t. Which is bigger: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + -2)\/(12\/(-20)). Let s(x) = x**3 - 2*x**2 - 4*x + 6. Let v be s(c). Suppose -51 - v = -2*k. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x = 4 - 18. Suppose x*i - 10 = -8. Let h be (268 + -1 + -2)*i. What is the greatest common factor of 53 and h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*s**3 + 451*s - 451*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2862 is divided by 952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(3\/8))**(-8\/3) assuming q is positive.\nAnswer: q**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2975787315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - -2802?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 8, b: 4, y: 1, d: 2, j: 1}. What is prob of picking 1 b and 2 d?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -5362063.81 to the nearest 100.\nAnswer: -5362100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 16) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -82404326.999919 + 82404392. Let b = f + -65. What is b rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**15)\/r**(15\/8) assuming r is positive.\nAnswer: r**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.893 + -0.393. What is the biggest value in -3\/5, 0, 20, a?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19162778 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -280 divided by -70.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2. Let q(x) = -4*x**2. Let t(a) = -7*d(a) + 2*q(a). Let l(y) be the first derivative of -3*y**2\/2 + 5. Determine t(l(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -144*w**2\/11 + 24*w\/11 - 1\/11.\nAnswer: -(12*w - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4\/5, -5, -3, -117\/7, 0.1?\nAnswer: -117\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -25857*g + 25665*g + 10368 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the first derivative of -r**2 + 6*r + 18. Let a be x(0). Solve -20 = a*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -351675*i**3*v**2 + 1801*i**3 - 32*i**2*v + i*v - 2*v wrt v.\nAnswer: -703350*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/((-3)\/(-6) + 1). Factor 261*c**i + 55*c**2 - 108*c + 161*c**2 - 462*c**3 - 147*c**4.\nAnswer: -3*c*(c + 4)*(7*c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the third derivative of c**6\/60 - 5*c**4\/24 + 2*c**3\/3 + 4*c**2. Let a(q) be the first derivative of d(q). Differentiate a(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*n + 2*j - 8 - 18, 3*n - 4*j + 10 = 0. Let v(b) = 2*b + 8. Let q be v(n). Let d be 10\/q*48\/(-40). Solve d = -p - 0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 40 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -9*z**3 - 6*z**2 - 16*z + 6. Let r(t) = 18*t**3 + 11*t**2 + 31*t - 11. Let s(n) = -11*f(n) - 6*r(n). What is the second derivative of s(k) wrt k?\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/11, -0.03, -331, 0.3, 4\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-4) + (-39)\/(-6). Suppose l - 4 = k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 83380, 166831, 250356, 333955, 417628, 501375?\n\"Answer: 37*b**2 + 83340*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5 + (228\/266)\/(6\/(-28)). Let q = 2 + 0. Solve -q = 3*a + b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, -2\/5, 6, -0.0857, -3\/5?\nAnswer: -0.0857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**5*(d\/d**4*d)\/d*(d\/d**(2\/3))\/d**(4\/3) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1188880 divided by 385\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*i = 568 - 228. Let y = i - 32. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 503206123.\nAnswer: 7, 599, 120011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2427 and 0.1.\nAnswer: -0.02427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 + 790*k - 4679. Let g be x(6). Solve -3*i + g = 2*l, 0 = 36*l - 31*l + 4*i - 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b - 8. Let q(n) = n + 8. Calculate 5*i(j) + 4*q(j).\nAnswer: -j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.8013515 months to millennia.\nAnswer: 0.000150112625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 3*m + 2. Let g(z) = -23*z. Give x(g(l)).\nAnswer: -69*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oboo when four letters picked without replacement from {b: 15, o: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 633933805 to the nearest integer?\nAnswer: 25178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f**2\/11 + 156*f + 259504\/11 = 0. Calculate f.\nAnswer: -662, -196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 26*o**3 + 22*o**2 - 60*o + 78. Let v be l(24). List the prime factors of (-3)\/(-5) - v\/(-210).\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2\/4 + x\/2 - 255\/4.\nAnswer: (x - 15)*(x + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14528004 and 26760.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (5 + (4 - 1) + -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -19*y**4 + 5*y**3 + 44*y + 5. Let t(n) = -19*n**4 + 4*n**3 + 43*n + 4. Let x(l) = 4*p(l) - 5*t(l). What is the second derivative of x(q) wrt q?\nAnswer: 228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 8470433918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 27 - 15. Let q = 12.0000018 - o. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s**2 - 6*s**2 - 153*s - s**2 + 4*s**2.\nAnswer: s**2 - 153*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 133 - (90 + (-140 - -63))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2 + 3)*0 - -7. Let d(c) = -c**3 + 3*c**2 + c. Let l be d(3). Suppose -2*j - l*j + 25 = 0. Solve j*u - b = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/(sqrt(9) + (sqrt(108)*-1 - sqrt(108))\/sqrt(12) - sqrt(9)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 993 = m, 2*m - 288 = 2*o - 942. Suppose -x - o = -4*x. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 + (1\/2 - 1). Let h = 0.03 - -0.17. Let s be ((-2)\/(-20))\/(4\/10). Which is the closest to s? (a) z (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -522*m = -491*m - 2056397 + 619113. What are the prime factors of m?\nAnswer: 2, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 51218 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12171950843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 260876390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7107*p*u**3 - p*u - 281*u**4 + 72*u - 14717 wrt u.\nAnswer: 42642*p*u - 3372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 17781 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**2\/5 + 1284*i + 368928\/5.\nAnswer: -3*(i - 2196)*(i + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v and 1 n when four letters picked without replacement from {v: 4, n: 15}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 240*v**2 - 153*v**2 + 297*v**2 - 4*v - 2*v**3 in the form m*v**3 + z*v**2 + c + i*v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 2*k**2 + 12*k + 5. Let w = 110 - 30. Let t = 74 - w. Let o be j(t). Sort 0, -5, o, -3 in decreasing order.\nAnswer: o, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(6 + 6 + -17 - 11\/(-2)). Which is the nearest to 0? (a) 96\/11 (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 351810 is divided by 4761.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -426, -862, -1584, -2586, -3862, -5406?\nAnswer: -7212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2190 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4935311837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 0.17, 2, 3, -0.4 in decreasing order.\nAnswer: 3, 2, 0.17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 563046151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - 2. Calculate the remainder when 0 + (f - -2) + 20 is divided by 4 - -5 - (3 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102966795139 - -1029?\nAnswer: -102966794110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, g: 5, k: 1, a: 4, p: 2}. Give prob of picking 1 k, 1 p, and 1 a.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -107*n - 24*n - 2*n - 2*n**2 - 2*n**3 to o + z*n**2 + m*n**3 + g*n and give g.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/898 and -61\/12.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-6))\/(435\/(-1566))*5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 20 + 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 2*d - 7*d. Is d + -6 + (-768)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ctfftofdfdofcfc. What is prob of picking 1 d, 1 t, and 1 o?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(304))*2.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16514*z**4 - 8318*z wrt z.\nAnswer: 198168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (98 + -99)\/((-1)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 5*j - 5, 0*j - 35 = -5*j - 5*u. Suppose -y = 0, -j*y + 36 = 4*s - 4*y. Calculate the remainder when 17 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.2 - 0. Let s = p + 0. Which is the smallest value? (a) 1 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 506 + 1205. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -5, -3 - 7 = y - 3*a. Let h = y - -8. What is the greatest common divisor of 7 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 2*y. Let j be -3 - (-106 + (1 - -4)). Let v = j + -109. Is y at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1210155446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - 115 - (-21 - (-43 + 52)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27 or 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n**(-22)\/n)*n**(2\/7)\/n)**(1\/10) assuming n is positive.\nAnswer: n**(163\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/6 - (-14)\/(-24). Let h = -68 - -67.7. What is the closest to -0.5 in 2, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = z - p - 6 + 3, 4*z - 3*p - 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 42 (base 7) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1 + (-42)\/18)*66\/(-4). What are the prime factors of (-5)\/(60\/(-306))*h\/1?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7150 and 6435?\nAnswer: 64350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gyg when three letters picked without replacement from {g: 2, y: 4, i: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 PM and 8:36 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4267, 4276, 4285, 4294?\nAnswer: 4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**19*j**(-1\/5))**(-3\/17) assuming j is positive.\nAnswer: j**(-282\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 - (2 + -1 + -4). Sort 4, -2, i, -4 in decreasing order.\nAnswer: 4, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -264 + 300. Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*w + n + 6, -4*w + 0*n + 20 = 2*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-28))\/((-885)\/(-14))*(-12435)\/1658.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 11*g**2 + 17*g + 16. Let z be r(9). Suppose 0 = -2*i + 3*c + 21, -c - 3 = -4*c. Let l = i - z. Sort 3, -4, l in descending order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -2*z - 28. Let l(g) = g**3 - 11*g**2 + 21*g + 11. Let v be l(8). Give a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2890 = -13*v + 29969. What are the prime factors of v?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 AM and 4:21 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -5*i**2 - 7. Let a(f) = f**2 + 1. Let s(t) = -6*a(t) - k(t). Let y(n) = 5*n**2 + 5*n + 21. Let v(w) = -4*s(w) + y(w). Is v(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*27\/360)\/((-3)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be 9\/4*(-8)\/(-3). Let y be (-1 + 15\/h)*2. Suppose g = 2*r + 8, -3*g + r + 28 = -y*r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7776378 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -354 (base 7) to base 3.\nAnswer: -20220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.134 - -3.134. What is the third smallest value in -5\/2, 528, a?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17180 is divided by 886?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, 3\/5, 138 in ascending order.\nAnswer: 0, 3\/5, 2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2960805640 a multiple of 8905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 320399, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 198*k - 633114 = -147618. Which is bigger: 2453 or k?\nAnswer: 2453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mxn. Give prob of sequence xmn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is g in g**4\/6 - 383*g**3\/6 + 3787*g**2\/2 - 15039*g\/2 - 9477 = 0?\nAnswer: -1, 6, 27, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2318, -4603, -6888, -9173, -11458, -13743?\nAnswer: -16028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -h + 2, -13*h = 2*w - 8*h - 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l - 3*l - 18*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931) - sqrt(931)*-3)**2 - (-4 + sqrt(114)\/sqrt(6)).\nAnswer: -sqrt(19) + 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from txeejijiixse.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 6 (b) -1\/4 (c) 3\/446 (d) -9 (e) -3 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -4*k**3 + 8*k**2 + 10*k - 195. Let j(g) = 2*g**3 - 4*g**2 - 6*g + 98. Determine 5*j(c) + 3*q(c).\nAnswer: -2*c**3 + 4*c**2 - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -1, -2, 1, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 330684 by 165342.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 122 = -4*a, 3*a - 2*o - 91 = -4*o. Suppose 5*z - a + 14 = 0. Suppose -3*s - 7 = -g, -z*g - 5*s + 27 = 6. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 20\/6*(-4 - (-104)\/20). Suppose 9*r + 3*v = t*r + 185, 0 = -2*r - 2*v + 70. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -514, -527, -540?\n\"Answer: -13*w - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-5\/3)*(g*g\/((g*((g\/((g*g**(-2\/11)*g)\/g))\/g)\/g*g)\/g)*g)\/g)**(30\/11)*((g**(2\/3))**25)**14 assuming g is positive.\nAnswer: g**(86830\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-790*c + 377*c - 711*c - 528*c)*(4 + 0 - 6) as s + z*c and give z.\nAnswer: 3304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - 5*f**2 + 5*f + 1. Let w = -15 - -13. Let k be (-1 + -1)\/(w\/4). What are the prime factors of r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -185.9859 - -186. What is u rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12 + 19. Suppose 7 + 21 = t*s. Suppose 82 = 4*m + 2*g, 0 = -0*m - 4*m + s*g + 112. Calculate the highest common factor of m and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -2\/375?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1911116107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/(-8))\/(12\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 4:42 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 25055, 25065, 25085, 25121, 25179, 25265, 25385?\n\"Answer: s**3 - s**2 + 6*s + 25049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 4, l: 1, z: 3, d: 2, g: 3, e: 2}. Give prob of sequence lde.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*y + y + 3*y)*(0 - 3 + 2)*(0*y**2 + y**2 - 2*y**2) as j + u*y**2 + g*y**3 + w*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 16 = m. Suppose m*r = 10 + 42. What is the remainder when 38 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -39 - -43. Suppose 12 + 4 = l*i. Suppose i*a + z - 606 = a, 0 = 3*z + 9. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 36826476\nAnswer: 1\/18413238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 32003 (base 4) to base 3.\nAnswer: 1020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -84*q + 770. Let y(h) = 5*h - 48. Calculate -3*x(b) - 49*y(b).\nAnswer: 7*b + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 4*a. Let k(s) = -s**2 + 3*s - 75. What is k(j(b))?\nAnswer: -16*b**2 + 12*b - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 465 is divided by 121?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the second derivative of 2*y**3\/3 + 101*y**2 + 49*y - 2. What are the prime factors of g(27)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 1157*l - 120329. What is p(104)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1\/2, 0.01, -4, 728, 5 in increasing order.\nAnswer: -4, -1, 0.01, 1\/2, 5, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 17841, 35257, 52249, 68817, 84961, 100681, 115977?\n\"Answer: -212*i**2 + 18052*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 3, -2\/5, 4\/29, 22?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j + 13. Let t be h(9). Suppose -2*w + t = -w. Suppose -39 = 2*c + w*i - 129, -4*c = -5*i - 128. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*u + 96*u = -24*u + 261. Let h = 0.03 - -0.07. Sort -3, h, -0.5, u.\nAnswer: -3, -0.5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b be 792\/55 + (-4)\/10. Suppose 6 = -b*u + 12*u. Sort 2, u, -1 in decreasing order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 87 + -51. What is the tens digit of 1*w + (-8)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + 0. Let r = 7 + f. Suppose 0 = 4*x + 3*b - 6, -2*x + 5*b - 10 = -r*x. Solve 4*v + 16 = -x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the second derivative of -8*s + 1\/3*s**3 + s**2 - 14 - 1\/12*s**4. Calculate a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1044*j**5 + 3*j**2 - 716*j + 22.\nAnswer: 20880*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 7764 divide 761539704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 11:04 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*l = -18*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 168 and 6827028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10385 + 15542. List the prime factors of z.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 43.07 - 43. What is the biggest value in v, 0, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/(-16))\/(3\/8). Let p = -1561\/4120 - -2\/515. Let y = 0.3 + -0.2. What is the nearest to 1 in s, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwhw when four letters picked without replacement from {h: 4, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66 + (5 - -27) + -104 + 34.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the second derivative of 5*k**4\/6 - 3*k**2\/2 - 90*k + 2. Let m be a(0). What is the second biggest value in m, 4, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 2 = -4*u. Solve -o + u*w = o - 14, 12 = -4*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -4.71*3\nAnswer: -14.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-5)\/1 - -7 - 5159\/2046 and 46\/155.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 6*12\/(-162) + 1718\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 55 and 363.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1535*b - 1399*b = 3536. Suppose -5*p = 4*l - 118 + 28, -2*p = 5*l - 36. Suppose p = 5*s - 32. What is the least common multiple of s and b?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*m**3 + 0*m**3 - 13*m**3 + (m - m - 4*m**2)*(3*m + 19*m + 8*m).\nAnswer: -131*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 19*x**3 - 16*x**2 + 70*x - 34*x**3 + 239 - 229 + 19*x**3. Let o(p) = -p**3 + 5*p**2 - 23*p - 3. Determine 10*o(c) + 3*r(c).\nAnswer: 2*c**3 + 2*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:20 AM and 10:01 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -15739160.2 rounded to the nearest ten thousand?\nAnswer: -15740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 364 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 89.74 + 5.46. Let s = -95 + f. Let n be (-6)\/(-8)*1\/3. Which is the closest to 3? (a) n (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 3 = -2*p + 7, -3*w - 2 = 4*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**2 + 13*f. Let p be z(-13). Suppose 3*u - u - 12 = p. Solve 10 = 5*s, 2*j + u = j + 4*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.29, -0.68, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 1 - 3. Let v(u) = 2*u**2 + 10*u**2 + 7*u + 8 - 13*u**2. Let g be v(-1). Solve y = -o - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9710 + 310755\/32. Let k = w + -121\/96. Which is the closest to 1? (a) 0 (b) -0.07 (c) k (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 6*k - 12. Let b = k + -4. Let w be (82 + -82)\/((34 + -20)*1\/(-2)). Solve 2*u + 4*x + 6 = w, 0 = 2*u - 2*x - b*x - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - x + 5*x = 8, -4*x + 8 = 2*l. Let y(n) = 21*n - 17. Let f be y(2). Suppose 5*c - 2*v = f, 2*c - v = 4*v + 31. Is c not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 42 - -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3289?\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 15624*f + 3 - 6248*f + 3.\nAnswer: 9376*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 43513244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11733 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve n**2\/8 - 651*n - 5209\/8 = 0 for n.\nAnswer: -1, 5209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 9*m**2 + 10932*m + 295575. Calculate l(-1187).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5716\/9 + 28598\/45. What is the second biggest value in -17, v, -2, -0.8, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -64 + 39 + -54 + 30.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 - 16. Let f = 8 + j. Solve -3*b = -f*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of w**6 + 32*w**5 + 22*w**3 + 2*w**2 + w + 304 wrt w.\nAnswer: 120*w**3 + 1920*w**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 700 and 9688?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45099386 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -200 (base 6) in base 10?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 151 divided by 839305\nAnswer: 151\/839305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*p**3 + p**2 - p**2 - 114*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-63)\/45 - (3 + 0)\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00564 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -256*l**6 + 14*l**5 - 39*l**2 - 712?\nAnswer: -30720*l**3 + 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 5*x - 785. Calculate u(30).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24234 + 24240. Let h(s) be the first derivative of 21\/2*s**2 + l*s - 16 + 5*s**3. Determine i, given that h(i) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7 + 6 + -3 + (-35 - -28). Which is the nearest to -2\/3? (a) -4 (b) 5 (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 600, 1201, 1802, 2403, 3004?\n\"Answer: 601*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-8 + 6 + 3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4a995 (base 14) to base 10\nAnswer: 182999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together -1251881 and -0.1.\nAnswer: -1251881.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -10156643 (base 8) to base 13.\nAnswer: -5a54bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 9199 = s - 3216, -3*s + 6215 = 2*d. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.743639 to 3 decimal places.\nAnswer: -1.744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*z + 723 + 141 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (31 - 9 - 17) + -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**2 + 2*n + 2. Let y be h(-5). Let a = y - 13. Suppose -7*d + 10 = -2*d. Solve a*j + d = k + 1, -6 = 3*j + k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 799 + -794. Solve m - 2*b - 1 = 0, -5 = -q*m - 0*b - 2*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 - -2. Let f = 1818164795\/623 - 2918401. Let x = -1\/89 - f. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 123 (base 4) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -1*(sqrt(156)\/(sqrt(12) - sqrt(48)) + (sqrt(104) - (sqrt(104)*1 - sqrt(104) - sqrt(104)))\/sqrt(8))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -17*k**2. Let y(b) = -13*b + 17. Let j(g) = -2*g + 3. Let w(h) = -34*j(h) + 6*y(h). What is w(s(f))?\nAnswer: 170*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -4\/4161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*i**3\/4 - 345*i**2\/4 + 252*i + 27 = 0.\nAnswer: -3\/29, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11744 = -42*o - 2042. Solve 243 = -3*s + o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5193442930 + 5198176251.091. Let c = o + -4733302.09100029. Let d = -19 + c. Round d to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5761, 17394, 36783, 63928, 98829, 141486?\n\"Answer: 3878*h**2 - h + 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 77c (base 16) in base 9?\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4642?\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9 - (-2 + 0)\/(-1). Suppose 35*l - 85 = 160. What is the greatest common factor of u and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 8 = 2*f - f, 4*f - 4*w = -32. Suppose -1 = -r - r - 3*t, 2*t + 10 = 0. Let v = r + f. Solve 5*b + 4*c - 8 = -v*b, 0 = -b + 2*c + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -32 - -36. Suppose 2*i - j*a - 3 = 3, 5*i + 2*a = -45. Is 6 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24 divided by 73?\nAnswer: 24\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/12684 and 29\/6236904?\nAnswer: 43658328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2280\/(-342))\/((-8)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16 and 236832?\nAnswer: 236832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(1900)*-2.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-4)\/8)\/(2\/252). Let c = -23 - m. Suppose -u + c = 3*u. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1847214*n**3 + 3*n**2 + 370246176*n wrt n?\nAnswer: -11083284*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 35*k - 8. Let s(q) = -35*q + 8. Let r(f) = -5*n(f) - 6*s(f). List the prime factors of r(2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 7 - 42. Suppose w = 3*b - 14. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 5*h - 5 = 0. Suppose -30 = -5*w + 4*r, -5*w - 44 + 114 = 4*r. Which is the nearest to w? (a) 0.2 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -400, -1654, -3744, -6670, -10432, -15030?\nAnswer: -20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 151498291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 14554 - 37*c + 38*c - 15467 + (-2*c + 0 + 0)*(-2 - 1 + 5).\nAnswer: -3*c - 913","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -1, 12.\nAnswer: -12, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 79*h*s**4 - 77938*h*s**2 + 236*h*s + 536991*s**6 - s wrt s.\nAnswer: 1896*h*s + 64438920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 6, d: 6}. What is prob of sequence mddd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 655 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 8*f**2 + 3082*f - 3082*f - 7 in the form v + t*f**2 + z*f and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(252))\/(2*sqrt(576) - sqrt(576)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -1211 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-20)\/(i\/(i*i**18)))\/(i**9\/i*i**18) assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 4*b + 3. Let h = 276 - 270. Give m(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-32)\/(-2) - 2*1\/(-2). Let f(v) = -6*v**2 - 11*v - 17. Let n(y) be the second derivative of -y**4\/6 - 2*y**3\/3 - 3*y**2 - y. Calculate r*n(o) - 6*f(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -4252 by -4252.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1638 equal to 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -6*r**3 - 3*r**2 + 2*r - 4. Let l be p(-4). Let m = l + -197. Suppose k - m = -4*j + 2*k, 0 = -2*k + 2. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45410 is divided by 15129.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 times -193.6?\nAnswer: -58.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -130?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - 14*k = -15*k, 0 = 3*k + 2*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1057 = 205*w - 1198 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**5*a**(1\/9)*a*(a*(((a**(-1\/6)*a*a)\/a)\/a)\/a)**(-5\/12))**(-5))**(-4) assuming a is positive.\nAnswer: a**(2225\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/8, 2, 3, -10, 0 in descending order.\nAnswer: 3, 2, 0, -1\/8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be 46*(-15)\/6*(-1)\/5. Suppose 11 = -2*k + r. Suppose -d + k*d - 40 = 0. Calculate the greatest common divisor of d and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 78101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the first derivative of -w**6\/2 + 3*w**5\/5 - 1. Factor q(f).\nAnswer: -3*f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1968 + 1969. Which is the nearest to d? (a) -0.109 (b) -2 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = -5*i + 6, -3 = -9*w - 66 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -267072 less than -267074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 6*n = -5*w - 59, -5*w = -n + 47. Let o = 22 + w. Suppose -9*q + 5*q = -88. Solve -5*v = r + q, -v - 4*r - o = -0*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5 - -10)*(-12)\/(-15) - -275?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + 7 + -5 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 925467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 0*a**2 - 282*a**4 - a**2 + 3*a + 273*a**4 in the form b*a**3 + j + m*a**2 + x*a + l*a**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 368c (base 14) in base 3?\nAnswer: 111002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -20*p**2 - 8*p - 5. Let a be 72\/54 + (-2)\/(-3). Let w(n) = 10*n**2 + 4*n + 2. Let d(c) = a*t(c) + 5*w(c). Find s such that d(s) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.61297 (b) -5\/11 (c) -4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 + 7*q**2 + 7*q + 11. Let r be z(8). Suppose 0 = -2*b - 4, r*u + 7 = -6*b + b. Solve f + 0 = -u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3248*f - 1189*f + 163*f - 223*f.\nAnswer: -4497*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 7972550.1 microseconds in hours?\nAnswer: 0.00221459725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 + -5 - -3 - (4 + -4)) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-4785)\/(-319)*9\/30*16\/42\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 - 4. Let w(u) = -u**3 - 2*u**2 + 4*u + 3. Let b be w(-3). Suppose b = 3*q - y - 22, 2*q + y = -r*y + 33. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 119 + -19aa604?\nAnswer: -19aa496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1018 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 2 = 13. What is the remainder when -6 + 141\/3 + (-1 - 2) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*n = -9*n - 4, 3*f + 2*n + 899 = 0. Let r be (-378)\/f + -4 + 2. Are -2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence npf when three letters picked without replacement from npppfnnpf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8158 is divided by 170.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 + 9*m - 9. Let z be r(7). What is the third derivative of -58*l**3 - z*l**2 - l**4 + 8*l**4 + 58*l**3 wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11847589167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-24)\/9)\/(4\/(-12)). Suppose 6*o = r*o - 172. Let m = o - 56. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 471, 979, 1487, 1995?\n\"Answer: 508*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 200329615489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**2 + 1. Let q be d(-1). Let i = -40 - -41. What is the nearest to q in 0, 3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -24. Suppose -5*q - 5*z = 185, z - 132 = 3*q - 41. Let m be q\/66 + (-4)\/v. Sort -0.5, m, 5.\nAnswer: m, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (147\/4)\/(3*(-1)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (252\/(-216))\/((-28)\/2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000112438787 to seven dps.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m. Let c(t) = -340*t. What is c(s) - 120*k(s)?\nAnswer: -220*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 892078835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13988, 18896, 27092, 38588, 53396, 71528, 92996, 117812?\nAnswer: 145988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 1033*j + 57. Let s be t(15). Suppose -5*a + s = 1757. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12 - 114?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ataaaaatatsaag. Give prob of sequence ts.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 9, b: 1, u: 7, v: 1, p: 2}. Give prob of sequence uu.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/((2 + -9)*228\/665)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 17*l**2*s**3 + 2*l**2*s + l*s**3 + 2*l - 22*s wrt s.\nAnswer: 102*l**2*s + 6*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 7*s - 7. Let i be k(-4). Let u = i - -35. Solve u = 5*y + 1 + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 30 = 4*v, 9*v - 4*v - 5*r - 15 = 0. Solve -23 + 3 = v*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 PM and 5:14 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 4:46 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 204 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0541683154 + -330748.\nAnswer: -330748.0541683154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4351056.5 from 1259.676.\nAnswer: -4349796.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*m + 2*g, -9 = 2*m + 3*m + 3*g. Let s be m + 1 + -1 - 33\/(-22). Suppose -3*x = -2*x - 1. What is the third biggest value in x, s, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d - 2*d + 0*d)*(4*d**3 + 2*d**3 - 4*d**3)*(5 + 13*d - 5).\nAnswer: -52*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -2*g**2 + 160424*g + 160426 = 0. What is g?\nAnswer: -1, 80213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -80.00574 rounded to two dps?\nAnswer: -80.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2545, 2752, 2959, 3166, 3373?\n\"Answer: 207*g + 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 PM and 3:05 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1107282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -125 - 488638*z + 40 + 45 + 40.\nAnswer: -488638*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (5 + 0 + -1 - (11 + -11)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, 112072\/3, 14 in increasing order.\nAnswer: -2\/9, 14, 112072\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or -142?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/((-13)\/((-13)\/12))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 80 in -6, -1\/4, 5, 4\/5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, 2, -0.57, 0.14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*p - 28*p. Suppose r + 2*l = -l - 15, -l - 5 = 5*r. Solve -f + p + 1 = r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13839 or 96864\/7?\nAnswer: 96864\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1261*s + 1286*s - 203 - 222 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2247514522.\nAnswer: 2, 11, 19, 282991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 64404114 (base 8) to base 6.\nAnswer: 1211005220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*a + 11. Suppose a*l - 11 = -3. Calculate the greatest common divisor of l and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 1:33 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 5*t**2 - 3*t - 6. Let z(n) = -n**3 - 7*n**2 - 4*n + 1. Let k be z(-5). Let d = k + 45. What is the remainder when d is divided by v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -5*q + 25, 12*q - r + 7 = 15*q. Find h such that 352\/5*h**q - 4\/5 + 66\/5*h**5 - 228\/5*h**2 - 248\/5*h**4 + 62\/5*h = 0.\nAnswer: 1\/11, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1125 = -g + 53*g - 695. What is the remainder when 182 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5968861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 64726 - 44785. Let p be (-2057)\/u - 4\/(-34). Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 818 + 1860. Does 113 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + (sqrt(192) - (1 + sqrt(192))))*4)**2 + 4.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 24*x - 12*x + 48. Let i be (62\/x*2)\/(1\/(-1)). Calculate the greatest common factor of i and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 2*y - 24 - 12, -y - 39 = 5*i. Suppose -32 + 8 = 6*x. Let l = -17 - -21. Sort i, l, x in descending order.\nAnswer: l, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25230765 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 356159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 558*h + 195 = 545*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {g: 4, l: 2, b: 3, q: 1, c: 4, y: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -74c6c (base 15) in base 12?\nAnswer: -15a619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -5, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - 11100110001111111101111001?\nAnswer: -11100110001111111101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -2 - (3 - 1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.1 * 0.16.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -107\/13720 and -85\/31556.\nAnswer: 315560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.5 - -4.5. Let z = 0.0126 - -3.9874. Let m = t - z. What is the third biggest value in 2\/9, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1017743 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -5*i**2 + 16*i - 11. Let s(y) = y**2 - 3*y + 2. Let j be -1*(-3 - 2\/(-2)). Let f be 7*(-3 + j) - -3. Let p(t) = f*n(t) - 22*s(t). Factor p(q).\nAnswer: -2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13033883 and 1430769?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of -z**4 - 2132*z**3\/27 - 3260*z**2\/9 - 448*z\/3 + 5258. Find j, given that i(j) = 0.\nAnswer: -56, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2026 - 2?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31888, -34426, -36964, -39502, -42040, -44578?\nAnswer: -47116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10131532 divided by 11?\nAnswer: 10131532\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 PM and 10:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, y: 2}. What is prob of picking 1 w and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11)\/((-55)\/(-30))*(-4)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z**2 + z - 41*z**4 + 5*z - 4*z - 2*z**3 to l*z**3 + i*z**2 + f + g*z + w*z**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -4908 * 68.\nAnswer: -333744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*h - 206*h**3 + 204*h**3 + 23*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-74)\/10 - -7)\/(12\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101010 + 10110?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-5 + (sqrt(1584) + (sqrt(1584) + 5 + sqrt(1584) - sqrt(1584))*-4)*-4 + -3 + 4)**2.\nAnswer: 43776*sqrt(11) + 467744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 477 divide 521361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 + 35. Let l = h + -38. What is the lowest common multiple of 8 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1996532?\nAnswer: 2, 499133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -69*a**2 - 14455*a - 63536. What is s(-205)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from {h: 4, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 40334043 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/(u\/u**(-1\/4)))**(-23)*(u**(-13))**(-19))**37 assuming u is positive.\nAnswer: u**(34003\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 255 - 250. Let w be (-1)\/45 + (-6)\/(-27). Let r(j) = -j**2 - 5*j - 3. Let d be r(-4). Sort d, y, w in descending order.\nAnswer: y, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*r - 7*r. Let t be (1 - r)\/(7\/(-91)). Let c = 1 - t. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -110 (b) 0.02847 (c) 5 (d) -0.3 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 21 = 29. Let t = 254 - 384. Let j be 2\/o - t\/25. Solve v - j*v = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -45861\/2 + 22933. Factor 2 + 1\/2*u**2 - n*u.\nAnswer: (u - 4)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -6*i**2 + 7*i + 2. Let j(r) = 5*r**2 - 6*r - 1. Determine 5*j(n) + 4*l(n).\nAnswer: n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2120 divided by -2?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8120741*n + 24025389.\nAnswer: -8120741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -75533 + -1?\nAnswer: -75534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - -22. Let l be 704\/336 + 4\/(-42). Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 + 8*y**2 + 15*y - 6. Calculate b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1548965 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24)\/((27880\/(-255))\/82).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of h**2*s**3*w**3 - 49*h**2*s**2*w + 205*h*s**4*w**3 + h*s**2*w - 4*s*w**3 wrt s.\nAnswer: 6*h**2*w**3 + 4920*h*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*z = -151*z - 846 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + j - 5*j)*(-3 + 6 + 10)*(j - j - 2*j**2 + 6*j**2 - 5*j**2 + 0*j**2 + (2 + 3*j - 2)*(-4 - j + 4) - 2*j**2 + 2*j**2 - 2*j**2).\nAnswer: 468*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 2*o - 5056 = 0. Is ((-6)\/8)\/(4\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + 597?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhxxnnnhhxnh. Give prob of sequence nhh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/7 or -1\/61720?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-4 - (-258)\/9)*3?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 3*j**2 - 24*j + 50. Let x be h(3). Solve 2*u - x*t = 0, 0*u - u + 3*t = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 65198900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(9)\/sqrt(3))**2 - sqrt(3))*-4*-3 + 5.\nAnswer: -12*sqrt(3) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.0332 * -0.0329\nAnswer: -0.00109228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 + t**2 - 4. Let f be w(0). Let q(a) be the first derivative of -118*a**2 + 9*a + 72. Is q(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1719559182?\nAnswer: 2, 3, 11, 1193, 21839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 - -2) + (-9 - -7). Let h be (1 + 0)*(k - 3). Let p = 318 - 321. Which is the nearest to -1\/2? (a) p (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 51954*b**5 - 27*b**2 + 3*b - 53?\nAnswer: 3117240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4267 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 194*p + 6456 = -611*p - 2*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is next in 307, 343, 379, 415, 451, 487?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.3 + -4. What is the closest to 0.03 in v, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*w + 116*w - 8*w**2 + 112*w - 333*w + 73*w.\nAnswer: -8*w**2 + 46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -410648 by -2.\nAnswer: 205324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the first derivative of -21*l**2\/2 - 36*l - 81. Suppose -23 - 13 = -3*q. Calculate the remainder when b(-5) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20030913 to the nearest integer?\nAnswer: 4476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 76 + -70. Let v be (638\/l - 24\/(-36)) + 0. Is 4\/18 - (-2)\/9*v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -93855 divided by 5.\nAnswer: -18771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5064, 11424, 17794, 24180, 30588?\n\"Answer: j**3 - j**2 + 6356*j - 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -37925, -75809, -113693, -151577?\nAnswer: -189461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 114 and 6167438.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -27, -1, 839, 1, -10 in descending order.\nAnswer: 839, 1, -1, -5, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -202248 less than 272.3615345?\nAnswer: 202520.3615345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be 10\/8 - (-192)\/256. Factor 24 + 2*f**2 + 455*f - 4*f**2 + 48 - 483*f - 2*f**a.\nAnswer: -4*(f - 2)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -g**2 - 3 + 3 + (2*g**2 - 2*g**2 + 2*g**2)*(0 + 2 + 0) + 5*g - 5*g - 2*g**2 in the form y*g + p + n*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1 take away 476015?\nAnswer: -476014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (m**2 - m**2 - 2*m**2 + 5*m**2 - 3*m**2 + 0*m**2 + (-2*m + 4 - 4)*(-5*m + 2*m + m) + m - m - m**2)*(6 + 3 + 4) to l + j*m**2 + y*m and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4\/9 (b) 1\/2 (c) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -52*k**2. Let y(v) = -12*v. Calculate c(y(p)).\nAnswer: -7488*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 5*n**3 + 6*n**2 + 19*n - 80. Let s be i(4). Is 417 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from ynzyznnnnyz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 1, 17, 0 in descending order.\nAnswer: 17, 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-8))\/((4\/10)\/((-5016)\/(-1045)))\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 67*o + 1161. Give y(-17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 421648 (base 11) in base 8?\nAnswer: 2447413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 63971338 minus -2.07?\nAnswer: 63971340.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 187588 and 375176.\nAnswer: 375176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 10:51 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -5*n + 21, -2*n = -0*n + 2*f - 6. Solve 5*c - 2 = -3*w, -3 = n*c + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of -f**4\/4 + 8*f**3\/3 - 2*f**2 - 4*f + 478. Calculate y(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23 - 2*k**2 + 6*k**3 - 9*k**3 + 25*k**2 + 5*k**3 + 2*k wrt k?\nAnswer: 12*k + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24360000 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 54.3 + -57.11. Let l = z - -2.691. Round l to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43546717 divided by -1697?\nAnswer: -25661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1\/5 - -1\/3. Let x be ((-12)\/195)\/(3 + (-17)\/5). What is the closest to 2\/7 in 2\/21, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes after 9:52 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 10580, 21106, 31632, 42158, 52684, 63210?\n\"Answer: 10526*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.486899ml to litres.\nAnswer: 0.008486899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-8\/3)*d*d**(-8))**(5\/3) assuming d is positive.\nAnswer: d**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 divided by -278.\nAnswer: 11\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -988, -1989, -2990?\nAnswer: -3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/5 of a kilometer in meters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyva when four letters picked without replacement from zvvyyai.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10339 = -18*q + 25*q. List the prime factors of q.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + 0. Let s = -11 - -14. Let m be (s - 3)\/(k + -1). Let h(c) = c**2 - c - 9. Give h(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of -j**6\/40 - j**5\/12 + 5*j**4\/24 + 3*j**3\/2 - 12*j**2. Let u(b) = 4*b**3 + 7*b**2 - 7*b - 13. Determine 5*u(w) + 7*z(w).\nAnswer: -w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in 3\/4, 6, 2, -3, -29, 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -2\/2821 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 - 11*o + 3. Let v be t(-11). What is the derivative of -5*j**3 - j**3 - 9 + 4*j**v wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -4. Suppose a*m - m - 2*u - 132 = 0, -3*m + 132 = -5*u. Suppose -22*t = -116 - 280. Calculate the remainder when m is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1359*k**3 - 40326*k + 40326*k.\nAnswer: -1359*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 7*q + 12 = 0. Suppose 16 = q*m - 3*m. Let t = m + 99. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -100001121100 (base 3) in base 15?\nAnswer: -37c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93944328 is divided by 46972161.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 2\/7, -326, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(143)*1)\/sqrt(11)*2 - (-1 + -2*sqrt(637)))**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(17) + -1) - -5*sqrt(425))*4)**2*3.\nAnswer: 4416*sqrt(17) + 431856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 498, -0.04, -0.5, 1\/3, 8 in increasing order.\nAnswer: -0.5, -0.04, 1\/3, 8, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/(-27) + (-70)\/(-9). Let d(b) = -4*b**2 + 1 + z*b**2 + b**3 - 5*b**2. Give d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide (4\/10)\/((-55442)\/(-3960) + -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of -t**4\/4 - t**3 + t**2\/2 + 5*t + 12. List the prime factors of q(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5122491 divided by -1707497.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 72 + (14 - 33 - 120\/(-2 + -2)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 23\/(-8) + 2 + -1 + 2\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15481 and 489227.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + (11 - 32) + -6 + 6 + -18.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-3 + -2 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k*k**2*k*k*k)**39\/((k*k*k*k*k**5)\/(k\/(k\/(k**(-1\/13)*k)*k))) assuming k is positive.\nAnswer: k**(3938\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 12a (base 11) to base 8\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -4*k + 3*m - 12, -2*k - 3*m + 14 = 0. Let g(i) be the second derivative of -7*i**3\/6 - i. Determine g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 29526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -140 - -137. Let g = 2.633 + 4.367. What is the third smallest value in -0.4, 0.2, g, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000004898393 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173588 - 125692 = -172*a. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 2:40 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 - v**2 + 1. Let n(x) = 15*x**3 + 653*x**2 - x + 16. Determine n(b) - 16*r(b).\nAnswer: -b**3 + 669*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -2. Suppose -3*z + g = -0*g - 82, 0 = z + l*g - 18. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3627344597 > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-18\/11)\/(r\/r**1))\/((r\/(r\/r**(2\/7)))\/r**(-2\/23)))**(2\/5) assuming r is positive.\nAnswer: r**(-7116\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*d + 4788 = 44*d. Calculate the lowest common multiple of 168 and d.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 81 minutes before 7:28 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let u = -0.12 + -0.38. Let d = 54.3 - -3.7. Let z = -54 + d. What is the nearest to z in u, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 4, 2\/7, -4\/25, -2 in decreasing order.\nAnswer: 12, 4, 2\/7, -4\/25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 4*p + 26, -2*r - 2*p = 16 + 2. Which is the third smallest value? (a) 3 (b) r (c) 2\/115 (d) -0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -167\/2820 and 127\/19270.\nAnswer: 115620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -11 + 13 - (7 - 2) - (6 + -68)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-336)\/210*-2*(-2)\/(-8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -192 + 191.9863. What is q rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -5*r - 12. Let p(y) = 2*y + 6. Determine 6*d(f) + 14*p(f).\nAnswer: -2*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 320 = -5*a. Suppose -20 = 3*x - a. Suppose 15*w + 195 = x*w. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 32790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/2)*z\/((z*(z*z**3)\/z)\/z))**14*((z**(-3)*z*z)\/(z\/((z*z\/(z\/(z**(-2\/17)\/z)))\/z)))\/(z\/(z*z**(-2\/5)))**5 assuming z is positive.\nAnswer: z**(-444\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 2*f - 2*f = -12, -5*t - 3 = -f. Suppose -4*l + 8 = t, 4*c + l - 133 - 205 = 0. Let v = 87 - c. Solve 0 = 4*p - 5*p + r + 2, 5*p - v = -2*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(8\/(-10)*(-20)\/344*124\/(-62))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the first derivative of -2*o**5 + 7*o**4\/2 - 14*o - 12. Let h(j) = -2*j**4 + 3*j**3 - 3. Let n(x) = 14*h(x) - 3*r(x). Suppose n(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -3586260, -7172527, -10758794?\n\"Answer: -3586267*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the third derivative of 5*z**6\/24 - z**5\/20 + z**4\/12 - z**3\/2 + 11*z**2. Let d be t(3). Suppose 8*v - d = v. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -3*z + 2*z. Suppose 5*n - 2*o - 42 = -z*o, 0 = -4*n + o + 36. Calculate the common denominator of -26\/9 and (-4)\/(-420)*-4*n\/(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28370000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -1 + 5 + 2*h - 2*h**2 + 4*h + h**2. Let n be p(9). Let z = -13 - n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8*h**2 + 5*h**2 + 7*h**3 + 16*h + 3*h**2 wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3 - 0\/(-2))\/(-1). Let l = 1402 - 1387. Suppose 2*t - 3*d - 7 = 0, 0 = z*t + 4*d - l - 21. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*t - t + 13. What is the first derivative of -17 + 5*g**4 + 3*g**4 - t*g**4 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 874 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 746 (base 10) to base 8\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**2 - 10*x - 11. Let k be c(6). Let w(s) = -s**3 + 4*s**2 + s + 1. Let t be w(4). Solve 3*g + t = -k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7932945443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6.2 + 6.2. Let d(h) be the second derivative of h**4\/12 + 2*h**3\/3 + h**2\/2 + h. Let q be d(-4). Sort q, s, -0.1 in ascending order.\nAnswer: -0.1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -5 (c) 0.08 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (1 - 2) + (9 - 10) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 - 42*h - 424. Determine w(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 5*o. Let d(y) be the third derivative of 1\/24*y**4 + 0*y + 0*y**3 + 2*y**2 + 0. Calculate w(d(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 121*u**2 - 5 - 117*u**2 + 0*u**3 + 2*u**3. Let r(i) = -4*i**3 - 7*i**2 + 9. Suppose 0 = -3*q - 3*q - 42. Determine q*l(t) - 4*r(t).\nAnswer: 2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9224, 9222, 9220, 9218, 9216?\nAnswer: 9214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/12)\/(4 - (-453)\/(-113)). Let v = k + -30. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33967524?\nAnswer: 2, 3, 2830627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13180542?\nAnswer: 2, 3, 17, 129221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 5 - 1 = 2*t, 2*n - 3*t + 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 523320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1176*b**2 + 5382*b - 1826*b**2 - 1185*b wrt b?\nAnswer: -6004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2852 - -2972. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (121\/(-176))\/((-2)\/(-32)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3202479511+85657\nAnswer: -3202393854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2963, 5937, 8911, 11885?\nAnswer: 14859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ctspprctcsrpxccx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3609*p = 3421*p + 5133716. Is 101 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 13 = c + 2*w, 0 = 2*c - 4*w - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4 + -35*(-11515)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What is (((-54)\/48)\/9)\/(12*12\/288)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -33, 6, 3, 2 in descending order.\nAnswer: 6, 3, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 5*x**2 + 1. Let d(g) = -4*g**2 - 1. What is -7*d(w) - 6*m(w)?\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the third derivative of -w**4\/24 - 7*w**3\/6 + 6*w**2 - 33*w. Let d be (-7)\/2*1*2. Let q be n(d). Is -14 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -549 - 443 = -16*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -2 - 2 + 15*g + g. Let y be f(3). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9*q**3 + 218*q**2 - 3824 wrt q.\nAnswer: 27*q**2 + 436*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f - 6 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 30.938 + 0.5?\nAnswer: 31.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10.2 + 10. Let t = 12 - 15. Sort 4, t, v in increasing order.\nAnswer: t, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1*-3 - (-63 + 0 + 2). Suppose 122 = 5*m - c. Suppose -4*j = -0 - m. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 118.396972 + -317.396869. Let x = 199 + b. Round x to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/18 and 17\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 4*f - 39 = 0, f + 2*f = -2*l + 53. Let q = l + -61. Let c = 62 + q. Solve i + 4*i = -c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 9*n**3 + 13*n - 1. Let k(m) = -8*m**3 - 12*m + 1. Determine 7*k(u) + 6*y(u).\nAnswer: -2*u**3 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 - 11. Let u be b\/((-1)\/(-1 - 0)). Factor 2 - o + 2*o - 6 + u*o**2 + 5*o.\nAnswer: 2*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 51340, 102837, 154492, 206299, 258252, 310345, 362572, 414927?\n\"Answer: -g**3 + 85*g**2 + 51249*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*r**3 + 3 - 97*r**4 - r**2 + 198*r**4 - 100*r**4 to the form x*r**3 + o*r**2 + t*r + p + n*r**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 AM and 12:47 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.2 + -3. Let o = 0.4 - t. Let c = o - 0.4. Is 0.1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 - -12. Let m be (-2 + (r - 1))\/(3\/27). Suppose 0 = 5*d - 0*d - m. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 3*w**4 + 3*w**3 + 3*w**2 - 6*w + 3. Let i(m) = m**3 + m**2 - m + 1. Let b(t) = 6*i(t) - 2*o(t). What is the second derivative of b(d) wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10648 - -11042. What is the highest common factor of 1773 and t?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 3*(((sqrt(320) + 1)*-4 + sqrt(320))*-5 + (-1*-1*sqrt(320))**2 + -1 + sqrt(320)*2).\nAnswer: 408*sqrt(5) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 109.59 - 109.5889697. What is y rounded to 5 dps?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-52)*-13*5. Solve 5*q - z = 3, -g*q + 3*q + 6 = -2*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 4, l: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 729957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -27.1, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 4*u**2 - 4. Let a(t) be the third derivative of -t**5\/20 + t**3\/2 - 10*t**2. Give -6*a(w) - 5*x(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2003008603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*l**2 + 5*l**2 - l**2 + (14 - 14 + 9*l)*(-3*l + 6*l - 2*l) + 2*l**2 + 0*l**2 - 3*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 241115362333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 - 21 = 4*m. Suppose -m = -4*g + w + 5, 2*g - 3*w = -6. Solve -4 = a - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 - 2*i - 2. Let u be q(8). Let f = 48 - u. Is (-2)\/(4\/6) - (-30 + f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 879, 879, 883, 891, 903?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 101020110101212 (base 3) to base 10.\nAnswer: 5441549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -14418959342266 take away 0?\nAnswer: -14418959342266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 361139*g**2 - 2*g - 1. Let w(s) = -2*s. Give k(w(i)).\nAnswer: 1444556*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/12 and -71\/4089.\nAnswer: 16356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from issiiii. Give prob of sequence is.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 16*x + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*k**2 + k + 18*k - 6*k**2.\nAnswer: -3*k**2 + 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/9)\/(30\/(-27)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5241089, -5241101, -5241113?\n\"Answer: -12*b - 5241077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 4 = 24. Suppose -r = -5, -3*d + r + 43 = d. What is the highest common factor of v and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.46295 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25458375?\nAnswer: 3, 5, 29, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the third derivative of -y**5\/60 + 11*y**4\/12 - 4*y**3\/3 + 16*y**2. Let s be j(21). Let u be ((-13)\/s)\/(25\/(-13) - -2). Is u at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -242*y - 2720 = -52*y + 82*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*f + 5575 = -3525. What is the greatest common factor of 548 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.014 in -2\/139, 1.6, -11?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 - (20 + 27 + -25 + 20).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 120 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -121 - -154. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4579.992625 - -4580. What is u rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 11083588 - 13?\nAnswer: 11083575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 106177 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: Collect the terms in -61*y + 223*y**3 + 62*y - 138*y**3.\nAnswer: 85*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(1 + (-20)\/25) + 21. Let w be ((-2)\/(-4))\/((-3)\/(-144)). Calculate the highest common divisor of w and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ull when three letters picked without replacement from {y: 4, l: 6, u: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 8562953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**3 + 46*u**2 + 160*u + 152.\nAnswer: 2*(u + 2)**2*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (x - 2*x + 2*x)*(0*x - 3*x + x) + 9834521*x - 1350*x**2 - 9834521*x - 4 in the form j*x + a + c*x**2 and give c.\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*v - 140*v - 93627 = -500556. What are the prime factors of v?\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-12) + 1502*(-4)\/336. Which is bigger: -17 or n?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8 + -2)*(3 - 1). Let s = p - -21. Let h(u) = 4*u**2 - u - 1. Let o be h(s). Solve -o*g + g + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31829102 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*t**3 - 3*t**3 + 0*t**3)*(5 - 6 - 3)*(-5 + 3 + 1).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 5*d. Let o(k) be the third derivative of 0*k**5 + k**2 + 1\/3*k**3 + 0 + 0*k + 0*k**4 - 1\/70*k**7 + d*k**6. Differentiate o(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1233b36 (base 13) to base 4\nAnswer: 111212231111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18998 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/4)\/(((-23)\/(-276))\/((-4)\/18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*x + 18 = 41*x - 3*p, 5*x + p - 11 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -60, -117, -174, -231, -288, -345?\n\"Answer: -57*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23, 6, -41, -130, -273?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + d + 19 = 0, -7 = -4*r + 5*d + 22. Suppose -12 = -2*q + 4*b, 5*q + 4*b = r*b + 22. What is the lowest common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48421952171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5*1 - 1)*(-16)\/32. Let t be 2\/7*(7 + 0). Solve -2 = -g, -h*g - t - 2 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from lpqzpplpplllpmllp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 492297 - 492297 - 466*w**5 + (-3*w**3 + 3*w**3 - w**3)*(2*w**2 - 2*w + 2*w).\nAnswer: -468*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24141)\/11142*(-7)\/((-14)\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*o + 15*o = -16. Suppose 5*z + o*l - 53 + 16 = 0, -2*l = -5*z + 19. Suppose -z*n + 198 = -377. What are the prime factors of n?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1384552337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 43649371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -7282842 * -4.9.\nAnswer: 35685925.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13414 + -3440154?\nAnswer: -3454012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*o + 434 = -33*o - 732 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -7*u**2 + u. Let n be y(1). Let w be 0 + 6\/3 + n. Let z be w\/(-26) + 88396\/26. What is z rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1761924 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 70297732 by 3.\nAnswer: 70297732\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 895 plus -146.921726?\nAnswer: 748.078274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 - -1 - (1 - 1). Suppose -i - 31 = -2*t, -2*t - 3*i = y*t - 61. Suppose -13*d - t = -15*d. Solve 20 = d*b - 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 88 + -59.8. Let i = z - 28.7. Let b = 2\/103 + -113\/515. Sort -18, b, -2\/5, i in descending order.\nAnswer: b, -2\/5, i, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/21 + 24\/15*(-100)\/(-48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 16170*t + 16152. What is p(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s - 4. Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1340 take away 1407?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from bbcbcaacbccaba.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -501*h**3 + 911*h**2 - 5*h. Let m(p) = 3*p**2 - p. Let j(a) = 5*m(a) - s(a). What is the third derivative of j(l) wrt l?\nAnswer: 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 1. Let l(g) = 2*g**2 + 9*g + 7. Calculate the remainder when l(-6) is divided by (-2 - -1 - w) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*l - 69*l - 21753 = 4987. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-14150)\/1424 - (7 + -17) and 97\/14.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 457, 414, 299, 76, -291, -838, -1601, -2616?\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.32 from -1412.\nAnswer: -1412.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ullu when four letters picked without replacement from {u: 4, l: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = f - 7, 9 = f + 3*y - 6. Suppose -12 - f = -4*m. Let g(j) = -j**2 + 9*j - 9. List the prime factors of g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 321274.\nAnswer: 2, 160637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 5*d**2 - 5*d**2 + 5*d**3 - 2 as t*d**2 + i + b*d**3 + w*d and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 20 = l. Let n be 272\/80 + (-4)\/10. Let j be -1 + 4\/(l\/n). Solve 3*i = j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*g**2 + 6*g**2 - 4*g**2)*(2*g**2 + 3 - 3) + 5*g**4 - 6*g**4 - 3*g**2 + g**2 to m*g + s + q*g**4 + o*g**3 + r*g**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -9583 times -13?\nAnswer: 124579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 260236 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((1*sqrt(192))\/sqrt(8))\/(sqrt(16)\/sqrt(32)).\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8132 - 8745*b - 8132.\nAnswer: -8745*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1044 and 3209652.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**2. Let o(r) = 5*r**2 + 3*r + 3. Let u(s) = 15*s**2 + 5 + 5*s - 11*s**2 + 6*s**2. Let n(v) = 5*o(v) - 3*u(v). Determine x(n(k)).\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -7*v**2 - 4*v. Let o be (-1)\/(-3 - (-160)\/54). Let t(q) = 48*q**2 + 27*q. Calculate o*b(k) + 4*t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 71, 0, -0.433 in ascending order.\nAnswer: -0.433, 0, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10762*h**4 + 24*h - 146.\nAnswer: -129144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 4 = 4*l, -4*r - 4*l + 44 = 0. Suppose 4*b + 24 = -v, 5*v = b - 2*b + r. Let u = b - -13. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1581 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (34\/(-7) + 2) - 345\/805.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -173 - 23*j + 85 + 90.\nAnswer: -23*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) 94041 (c) 2\/7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h and 1 c when three letters picked without replacement from {b: 3, c: 6, h: 7, g: 3}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**3\/3 - 5643514*v**2\/15 - 796229563648*v\/15 + 159246589952\/5 = 0. What is v?\nAnswer: -282176, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3 - (-6 + -10*8). Let m = q + -72. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 3, -12, 2036, 10, 4.\nAnswer: -12, -5, -4, 3, 4, 10, 2036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 3*j - j - 7, 2*x - 16 = -5*j. Suppose -4*n - x*q = -13 - 8, q + 5 = 0. What is the units digit of (-156)\/(-16)*24\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 735701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {m: 1, l: 1, i: 1, u: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + (-14)\/(-1 - -2). Let a = -75 + 64. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 5:16 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-8))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 72174079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -71.9 + 67. Let w = -0.1 + j. Sort -3\/4, w, 1, -3\/2 in ascending order.\nAnswer: w, -3\/2, -3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111110110111110101101 (base 2) to base 11.\nAnswer: -238a536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (29*r**2 - 92 + 92)*(2*r + 2 + r + r).\nAnswer: 116*r**3 + 58*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1183 and 4670939.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.01024 + 0.01024. What is the closest to g in -3\/4, 7, 1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -121130 (base 4) to base 5.\nAnswer: -23003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 - 242*h + 7737. What is b(38)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 692 divide 7468064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00008695 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-252)\/(-54)*(20\/2)\/((616\/48)\/(-11))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-192)\/(-84) - 2)*(6 - -1). Solve 4*v = 10*k - 8*k - 12, -2*k + 2*v + h = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p - 4*p + 3*p)*(0*p + 0*p + 2*p) + p**2 - 2*p**2 + 2*p**2 + 32*p**2 + 31*p**2 - 58*p**2 + (1 + 2 - 5)*(4*p**2 - 4*p**2 - 5*p**2).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -239584 by 14974.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g + 0*g + 7*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3852, 3849, 3844, 3837, 3828?\nAnswer: 3817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 187152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1211 - 1215. Sort -1611, l, 5, 2 in decreasing order.\nAnswer: 5, 2, l, -1611","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of -u**4\/12 - u**3\/3 + u**2\/2 - 6*u + 2. Let w(a) = 6*a**2 + 132*a + 1022. Let o(q) = -2*k(q) - w(q). Solve o(j) = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -65832*b*r*t - 1273*b*t - 8*r*t - 5*t + 2 wrt r.\nAnswer: -65832*b*t - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((8\/(-12))\/(8\/30)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-96)\/(-28)*-1 + 3. Let w = -1.252 + 0.852. Which is the third biggest value? (a) v (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1363, -1359, -1355, -1351, -1347, -1343?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 2*c + 4986. Let h be (-8882)\/c - 2*1. Let n = -1\/277 + h. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3023*f - 4907*f - 6661*f - 146 + 146)*(0*f**2 - 3*f**2 + f**2) to the form v*f**2 + t + j*f**3 + o*f and give j.\nAnswer: 17090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(605) + -1 + 4.\nAnswer: 3 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 + 10*h + 31. What is the hundreds digit of x(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0762571*1.\nAnswer: -0.0762571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -33876 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(832))**2 + (sqrt(65)*3 + sqrt(65))\/sqrt(5) - (-3*sqrt(104)\/sqrt(2))\/(sqrt(400)*-2 - sqrt(4)))*4.\nAnswer: 108*sqrt(13)\/7 + 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Solve 30*b - 59 = 31 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -18*x. Let f be (1 - 1 - 7)*(-1 + 0). Let q = -8 - -11. Let b(n) = -4*n + f*n - 2*n - q*n. Give b(h(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -2*r - 15125, 0 = -5*i + 6*r - r + 15140. Let k = -2020 + i. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 35*n - 20. Let u(b) = 12*b - 7. What is -6*p(v) + 17*u(v)?\nAnswer: -6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/(-66) + 33\/180)\/(-1).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 1 + 9. Let m = -2 - -2. Let g = -33 + 29. What is the closest to m in 0.5, g, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/(-5)*(-24 + -1). Let i be (-2)\/((x\/15)\/(-2)). Let f(m) = 2*m + 3. Let v be f(i). Which is the biggest value? (a) -1\/31 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-10))\/(730249\/(-21605)).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -531015*s - 136236 with respect to s.\nAnswer: -531015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -20067569 by 14.\nAnswer: -20067569\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -81*r - 4421*r**4 - 2*r**2 + 0*r**2 + 82*r - 416 wrt r?\nAnswer: -106104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.04 in 1, 0.3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 522\/(-435)*(-10)\/(-63).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1241 - -16590. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -622106 + 90608.96.\nAnswer: -531497.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g - 1. Let v be t(0). Let r = 1 + v. Let r*j**3 - j**2 + 3*j**2 - 2*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*-67978.\nAnswer: 271912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/45 (c) 6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ly when two letters picked without replacement from {x: 3, m: 1, b: 4, y: 1, p: 4, l: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -22184425178 + -3\nAnswer: -22184425181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 2956 = 4*k, m = 5*k + 383 + 360. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 2*y - 20. Let a be (1 - (-6)\/(-3))*-6. Suppose -a*r - 23 = -2*c - r, -2*r + y = 2*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 + 42*l + 84. Let p be q(-2). Solve -5*k - 8 = 2*r, -p*r = -7*r - 5*k - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {p: 1, s: 1, i: 1, j: 2, t: 1, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uw when two letters picked without replacement from {t: 2, u: 5, w: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = -0*y - 11*y. Let d be y + 6 + (93*4 - -2). Suppose -2*g - 834 = -4*b, -49 - d = -2*b + 3*g. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 - -65. Suppose -m = -5*n + 3*n. Suppose 44*o - n*o = 48. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 12*s**2 - 3*s + 2. Let o be v(1). Let b = 2 - 1. Let u = o + b. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -d + 2756, d + 4*t - 2763 = -0*t. Suppose -i - 3*h = -0*i - 950, -i = -2*h - 965. Let g = i - d. Round g to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 5117 = -19496. List the prime factors of p.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2084 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -846443363411\/3720 - -227538540. Let k = -3\/310 - a. Calculate the common denominator of 53\/2 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*j - 45 = 17*j - 2*n, 3*n - 87 = -2*j. Calculate the highest common factor of 4693 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -0.4, -4, 3 in increasing order.\nAnswer: -4, -2, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 - -8) + (-262 - 2). Let a = f - -813. List the prime factors of a.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1144536, -4578152, -10300844, -18312612, -28613456?\nAnswer: -41203376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 182775824423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (435\/30 - 15)\/(3\/6). Let b(r) = -r**3 + r + 1. Let x(u) = 4*u**3 + 2*u**2 - 2*u - 4. What is m*x(l) - 2*b(l)?\nAnswer: -2*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**2 + 13*r + 5. Let u be j(7). Let z = -38 + u. What is the derivative of 2*c - 14*c - z + 7*c wrt c?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 755, 1817, 2879?\nAnswer: 3941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8842, 35379, 79586, 141445, 220938?\nAnswer: 318047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-104)\/(-20))\/(-13))\/(((-23)\/12)\/((-505)\/202)).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*m - 13*m + 29*m - 8*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 7 - (-1 + 0 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 5*z**2 + 180*z - 2120. What is the smallest common multiple of 341 and d(11)?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 51*l + 9. Is i(6) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 3*x - 2*a - 9 = 0, -10 = 4*x + 2*a. Which is bigger: -2\/223 or x?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 232000000 rounded to the nearest one million?\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 - 14*v**2 - 8*v - 7. What are the prime factors of f(16)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9466241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 144 - 142. Let h(k) = k - 4. Let x(s) = -1. Give f*h(w) - 10*x(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20213 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/826 and -43\/1484?\nAnswer: 87556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16043 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -105470860 rounded to the nearest one million?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 10}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-32)\/(-3))\/8 - (-48)\/(-9). What is the third biggest value in 2, 1\/3, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2\/5, -0.0553, 864, 2.\nAnswer: -0.0553, 2\/5, 2, 5, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - -10100001111?\nAnswer: 10100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2094 - -2119. Calculate the remainder when 724 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, -77, 21, 503, 0, 4 in increasing order.\nAnswer: -77, -3, 0, 1, 4, 21, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3\/35, -0.4, 13, 35.23, 2 in decreasing order.\nAnswer: 35.23, 13, 2, 1, 3\/35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 - 9*s**2 + 11*s + 15. Let i be f(-10). Let k = 9 + i. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 42563455*k*r**3 - 2589*r**3 + r + 3109 wrt k?\nAnswer: 42563455*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**2 - 16652403*g.\nAnswer: -3*g*(g + 5550801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 + 10. Suppose p = f + 4 - 3, 0 = 3*c - 2*f + 10. Let i(l) = l**2 + 4*l - 4. Determine i(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the second derivative of -3*n**5\/20 - 529*n**4\/12 - n**3\/3 - 1590*n**2 + 11*n + 117. Differentiate c(x) with respect to x.\nAnswer: -9*x**2 - 1058*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, k: 3, a: 1, n: 4}. Give prob of picking 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 + 2)\/(-1) + 0. Let l be (-7)\/(-9) + 4\/18. Is l greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.04867 - -30.31867. Let l = r + -30.27005834. What is l rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.4 - 0.4. Let l(g) = g**3 - 3*g**2 + 2*g - 1. Let s be l(2). Which is the nearest to 1? (a) p (b) 3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -83 (base 11) to base 2.\nAnswer: -1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -3*m**2 - 3 + 3*m + 6*m - 2*m + 14*m**3 - 3*m. What is the remainder when v(1) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -593.99999471 + 594. Round v to seven dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 28*x - 25*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of a**2*d - 55235*a**2 - a*d + 352*a - 54*d - 522281 wrt a.\nAnswer: 2*a*d - 110470*a - d + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -210 divided by 2?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rzpzqhz. What is prob of sequence pzh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -570438 - 429562. What is h rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12515 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3868307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of -1\/6*u**3 + 0*u**4 + 11\/20*u**5 - 7*u + 0*u**2 + 0. Find the second derivative of f(v) wrt v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1011 (base 4) to base 2.\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5880 is divided by (-288)\/2160 + (0 - (-557)\/15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 26 = -4*r, -23*r + 3*z = -24*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2 + 5*i - 36*i - 1 + 1 wrt i.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 + 6.1. Let m = 0.09 - -0.21. Let d be (-1 + (-2)\/(-10))\/2. What is the closest to d in -0.5, m, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the second derivative of -h**3\/3 + h**2 + 6*h. Let v be c(0). What is the second derivative of -2*x - x + v*x - 2*x**3 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2 + 9168*j + 9170.\nAnswer: -2*(j - 4585)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.01, -21, -0.4, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -601 (b) 0.5 (c) 0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 0 + 42 + -13 + -35 - (-1 - -19)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -203110303 (base 4) to base 8.\nAnswer: -432463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 605844367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y + 10. Let q(m) = -1. Suppose 36*x - 40*x - 12 = -0. What is x*q(l) - u(l)?\nAnswer: l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -3465687544 to the nearest ten thousand.\nAnswer: -3465690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1204927 and 23968?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(16\/7))\/(y\/(y\/(y*y**(-6)\/y*y))*y*y))\/(y**33*y**(-29)) assuming y is positive.\nAnswer: y**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16655721 is divided by 3291?\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1697 is divided by 1264.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*q - o - 29 = 32*q, -3*o = 15. What is the tens digit of -2*8\/q - 460\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2 + ((-1)\/5)\/((-120)\/1425). What is the nearest to -0.2 in 1, -5\/2, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -34 - (22 - 21 - ((6 - 0) + -4))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/3*(-5)\/((-25)\/(-15)). Suppose 4*j - 4*x - 144 = -0*j, 0 = -n*j + 4*x + 179. Let m = j + -32. What is the lowest common multiple of 11 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*c + 3*c + 16. Let t = c - 6. Let g = 4.95 - -0.05. What is the closest to t in 3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12 + -8. Find the first derivative of -4*k - 3*k**4 + a + 4*k - 7 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in fifty-nine fifths of a century?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - 20\/(-4))\/(12\/(-8) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -1. Let a = -4.022 + 0.022. What is the closest to 2\/3 in -0.1, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 501*x + 40. Let p(h) = -131*h + 2. Let q(r) = f(r) + 4*p(r). Determine q(9).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -36848 - 35?\nAnswer: -36883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9\/57)\/(3\/(-2)). Suppose 0*l + 10 = 5*l. Let z be 6*(l\/5)\/2. Which is the second smallest value? (a) -0.2 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1605 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 700987 is divided by 4407?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7810 is divided by 357?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -554.6 to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 70 = u + 13*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4303342 (base 5) to base 12\nAnswer: 35a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 0.1, -6, 1, 3 in descending order.\nAnswer: 3, 1, 0.2, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:53 PM and 8:16 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 251764 greater than or equal to 251764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11245?\nAnswer: 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-254)\/6 - (-2)\/6. Let f = 70 + i. Suppose 2*k - f - 2 = 0. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 200800 = 4*s, 3*s - 31652 = -3*n + 118948. List the prime factors of n.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 550 is divided by 141?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**0\/(n\/(n*n\/((((n\/(n\/(n\/n**(-2\/15))))\/n*n)\/n)\/n))))\/(n**(-1\/2)*n**0) assuming n is positive.\nAnswer: n**(71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (12\/44)\/(3597\/(-2943)*3\/(-22))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**2 + 8*a + 5. Let p be f(8). Suppose 7*c = 5*h + 2*c - 60, p*h - 56 = c. What is the second smallest value in -3, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1684 + -1681. Solve 3*a = 2*c - w, 0 = -3*c - 0*c - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the second derivative of 2*j**3\/3 + 33*j. Let g be 12\/18*(5 + -2). Let s(z) = -z**g - 3*z**2 + 3*z**2. Give n(s(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2129166?\nAnswer: 2, 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19459?\nAnswer: 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 11:26 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 1.051 (b) 1\/3 (c) 3\/2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 697218 divided by 174.\nAnswer: 4007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the third derivative of w**8\/40320 - w**7\/2520 + w**6\/360 - w**5\/30 + 2*w**2. Let u(a) be the third derivative of z(a). Solve u(i) = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.35 + 1.75. Suppose 3*m = m + 6. Which is the second biggest value? (a) -0.4 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -8*z. Let a(j) = 491131*j. What is a(v(t))?\nAnswer: -3929048*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y + 3*i + 2501907, -y + 833971 = i - 3*i. Suppose y = -4*l - 574033. What is l rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 + 6*y**2 + y + 6. Let n be v(-6). Suppose n = -f - f - 98. Find the common denominator of f and -14 + -1 + (-8874)\/(-580).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 2*v**3 + v**2 + 1. What is o(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -48 + 94. Let q = r - 51. What is the biggest value in q, 2, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -60, -1, -4, 3, -2, -5, 65 in descending order.\nAnswer: 65, 3, -1, -2, -4, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -149*b**2 - 658*b**2 - 809*b**2.\nAnswer: -1616*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 3, f: 1, x: 5}. What is prob of sequence vxx?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -15661 - 1112024?\nAnswer: -1131015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 19745*a + 2916 = 19664*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.8 in 2\/5, 0.3514, 0, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-10)*(-10)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 16*f**2 + 30*f + 6. Let c(g) = 14*g**2 + 25*g + 5. Let v(n) = 5*a(n) - 6*c(n). Let b(q) = 381*q**2 + 2. Calculate b(v(x)).\nAnswer: 6096*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 1234522 (base 8) to base 9.\nAnswer: 571553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -1205*o**2 + 2*o + 28. Let a(q) = 132549*q**2 - 221*q - 3094. Let r(w) = 10*a(w) + 1105*g(w). Let j(u) = 2*u**2. Calculate r(j(v)).\nAnswer: -24140*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 548 = -o + 547, -3*l + 2*o - 4 = 0. Let n(u) be the second derivative of -1\/6*u**4 + 3*u - 2*u**3 + 0 + 0*u**l. Factor n(k).\nAnswer: -2*k*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 8, 17, 26, 35, 44?\n\"Answer: 9*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, r: 3, u: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**3 - 125*g**2 + 59*g - 240. Let c be q(-63). Solve 9*v + 126 = -c*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2*3\/(-438))\/((-32457)\/(-97371)).\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1570.04 hours?\nAnswer: 94202.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -5, 30, 89, 178, 303, 470?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -72229 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b52c6 - 5d?\nAnswer: -b5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -6*c - 3. Let h = 5 + -8. What are the prime factors of g(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -o**3\/4 - 5*o**2 + 21*o\/4 = 0.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 206791901 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 88408731 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: Which is the nearest to -17? (a) -617 (b) -2\/21 (c) -815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1937504510 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 122 + -202?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -38*l**3 + 5*l**2 + 70*l - 67. Is m(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 16*q + 24 = -13*q, -3*m = -q - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 19, p: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -360, -362, -364, -366, -368, -370?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 + 6*p**2 - 10*p - 9. Let d = -2 + -5. Let u be b(d). Does 7 divide -3 + 2 + u + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 29024, 58176, 87328, 116480?\n\"Answer: 29152*h - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/15 and 8\/93?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.009877026 to six dps.\nAnswer: -0.009877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*b + 7*b**3 + 8*b)*(-2*b + 2*b - 2*b) - b**4 + 5*b**4 - 3*b**4.\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 111\/23080 and -97\/150020.\nAnswer: 300040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 276600, 276907, 277416, 278127, 279040, 280155, 281472?\nAnswer: 282991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wauw. What is prob of picking 1 w, 1 a, and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -36\/264187 and -55\/1269.\nAnswer: 7133049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -267561.\nAnswer: 1\/89187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 102 divided by 10.\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -6*y**2 - 85*y - 5. Let f be m(-14). Solve 19*u = 28*u + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(4 - (-47)\/(-12)). Solve 2*z - 6*z - p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 59\/5 of a microgram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 7}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-18)*i)\/i)\/(i*(i**9*i)\/i*i)*((i\/i**(2\/23))\/i)**22)**(2\/51) assuming i is positive.\nAnswer: i**(-474\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 31 - (-24 - -105) - -37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -7 + -2 + 17 - 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 6*q = 14, 2*r - 108*q = -104*q + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1151764 - 10352807\/9. Let j = g + -1454. Let a = 8989\/4 - 2233. What is the common denominator of j and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 885196 is divided by 177?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - 0\/((-2)\/2). Let f be (-418)\/209 - (-1 - 13)\/2. Suppose 0*k - 27 = -k + 4*x, -s*k + 15 = f*x. Solve 4*q - k = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(133)*2 + sqrt(133) + sqrt(133)*2*4)\/(4*sqrt(21)\/sqrt(3) + -1*sqrt(7)*-3).\nAnswer: 19*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 + -5.6. Which is the closest to 0? (a) 5 (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 + 10*o - 1. Let d be n(-9). Let f(p) = p**2 + 11*p + 12. Let v be f(d). Let j = -26 + 36. Solve -v*q - 35 = -5*u, 0*u = 4*q + 2*u + j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/27*3*9. Let b(c) be the third derivative of c**5\/60 + c**4\/24 - c**3\/6 - 222*c**2. Calculate b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**2 + 11*j + 13. Let x be 20\/(2 - 4) + 0. Let h be t(x). Suppose b - 224 = -h*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*a = -48*a + 88*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (5 - -1 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.316 - 0.016. Let r = -7 - -10. Which is the second smallest value? (a) r (b) h (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -71 - 137 = 49*y + 37 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -864 = -26*t + 8*t. Suppose 20 = 4*d - 28. Calculate the highest common factor of t and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -542 - -3712. Let j be (8\/l)\/(-1)*2324\/42. Let p = j + 2\/317. Which is the biggest value? (a) p (b) 1 (c) -1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1021 (base 3) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 280 + 56. Suppose 4*y - 4*w = y + 47, w = 5*y - k. Let v = 4 + y. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10647 + 10651. Solve -50*a + 53*a = k*u - 4, -5*u - a + 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 3*v**3 + 12*v**2 - 7*v + 21. Let k(h) = 4*h**3 + 11*h**2 - 7*h + 22. Let y(i) = -4*k(i) + 5*s(i). What is the units digit of y(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes before 8:35 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - o + o)*(-5 + 6*o**2 + 5)*(3 - 1 - 4).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/((-56)\/70*-45)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -244*t - 46. Determine z(-3).\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*b + 41*b - 9*b + (1 + 2 - 1)*(-b - 3*b + 2*b) + 0*b + 4*b - 2*b)*(b**4 + b**4 + 0*b**4).\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 2:21 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-8)\/p*p\/(p\/((p**26*p)\/p))*p*(p**11\/p)\/p*p**(-12)*p assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2344 - 1.56691. Let r = -1.8 - w. Round r to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -52*z + 23. Let b(n) = -52*n + 19. Determine 4*b(c) - 3*g(c).\nAnswer: -52*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 3, 0.5, -2\/33, 2\/47 in increasing order.\nAnswer: -7, -2\/33, 2\/47, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21822?\nAnswer: 2, 3, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -2*j**3 + 2*j**2 + j - 1. Let z(q) = -3*q**3 + 3*q**2 + q - 2. Determine -7*t(b) + 5*z(b).\nAnswer: -b**3 + b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 5457577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-2) + (1 - 18\/12). Suppose 4*l + 2*c = 2 + 6, 2*l - 4 = -5*c. Sort l, t, 3 in descending order.\nAnswer: 3, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -931968*o**4 - 245*o**5 + 931966*o**4 + 1715*o**5 + (3 - 3 - 1)*(-4 + 0 + 5)*(0*o + o + o)*(0*o**4 + o**4 + 0*o**4).\nAnswer: 1468*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77305*g + 32513*g - 42739*g.\nAnswer: -87531*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, -55, 5, -3, -12 in increasing order.\nAnswer: -55, -12, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 3*s**4\/4 - 127518*s**3 - 2550411*s**2\/4 - 1020171*s - 510087 = 0.\nAnswer: -2, -1, 170029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -2003*u - 32047. Determine p(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6836574971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5233466 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (118\/(-22) + 5)\/(-2). Let x = 3.96 + 0.04. Which is the biggest value? (a) x (b) v (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c - 3*c + c)*(-19 - 11*c + 19) + 11 - 1 + 0*c**2 + 2*c**2.\nAnswer: 24*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, m: 2, o: 1, h: 7, p: 4}. What is prob of sequence mxo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1221\/5947 or -1?\nAnswer: 1221\/5947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -23109 - -22921. Which is greater: c or -2269\/12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -7*b + 2. Let a(j) = -3*j + 1. Suppose 6*t = 10*t + 720. Suppose -2*n + 4 = -32. Let u be t\/(-81) - 4\/n. Calculate u*g(y) - 5*a(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(153) - (3*sqrt(153) - sqrt(153)) - sqrt(153) - sqrt(153)))\/(sqrt(90)\/(sqrt(40)\/sqrt(4))).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zcccccciziiccicc. What is prob of sequence zcc?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 + 2\/(-4)*-8)\/(-1). Let l(c) = -4*c - 8. Let i be l(10). Let b = z - i. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -7484.2281 + -3.\nAnswer: -7487.2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 639627657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -154?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 57 - -42. Is t\/24 - 2\/16 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -129 - 129 + 64 - 4506*j**2 + 194.\nAnswer: -4506*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 + 11*r + 11. Let w be l(-9). Let c = 15 - 6. Let f = w + c. Solve 0 = 4*b - f*i + 2, 0*b - 4*i = -b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -77 - -87. What is the remainder when 22 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.53 + 0.23. Put s, 0.5, -13 in descending order.\nAnswer: 0.5, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -90 divided by -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 - 5*r - 5. Determine t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-0.599847\nAnswer: -0.1199694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17388 and 3996.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/16 and -23\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -2200012002 (base 3) to base 15\nAnswer: -108d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dzzditgg. Give prob of sequence dd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -740 + 660 - (-47 - -1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4756 = 3*l - 17936. Let w = l - 90655\/12. Find the common denominator of w and 91\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -972151.4202 rounded to the nearest 100?\nAnswer: -972200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -2\/3, -0.1, -1316\/9 in decreasing order.\nAnswer: 0.1, -0.1, -2\/3, -1316\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1002*c**3 + 49*c**2 - 2*c + 71784630?\nAnswer: 3006*c**2 + 98*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2081 - 32252 = -144*j - 5245. What is the remainder when j is divided by 109?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(78)*6)\/(sqrt(72)\/(1*sqrt(12))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 439 is divided by 112.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3c90 (base 14) in base 7?\nAnswer: -43140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 21550880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, -4, 275986, 0 in decreasing order.\nAnswer: 275986, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from xqof.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Is 461324452 a multiple of 3791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7669 is divided by 213.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + o = -21, -17*o - 45 = -2*i - 12*o. Solve 2*r - 5*n + i = -0*r, -r + 5 = 5*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*t**5 - t**5 + 0*t**5 + (-2*t**2 + 4*t**2 + t**2)*(-4*t**3 + 5*t**3 - 6*t**3)*(6 - 10 - 6).\nAnswer: 153*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-42 + (-55260)\/(-1290))\/(-2)*(1 - 3)\/6.\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w = -419*z + 421*z - 16, -3*z + 5*w + 24 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 34 - 34. Suppose 0 = -b*x + 4*x - 8. Solve 35 = x*i + 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/708 and -103\/590.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**3\/4 + 3*d**2\/2 - 3*d\/4 - 3\/2.\nAnswer: 3*(d - 1)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 203064 is divided by 519?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.538332 micrograms?\nAnswer: 0.000000000000538332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*2\/(-4) - 2305. Let w be 10\/3*p\/(-80). Suppose 6*i + 240 = 5*r + 4*i, 3*i + w = 2*r. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 22\/241125 and 47\/167823.\nAnswer: 20977875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 146048 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -1030836.55 to the nearest one hundred.\nAnswer: -1030800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 891312 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 17, e: 3}. Give prob of sequence eoe.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 317*l**5*x + 33*l**3*x + l + 117826*x wrt l.\nAnswer: 6340*l**3*x + 198*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 - 4*s**2 - 2*s - 8. Let n be i(-4). Suppose 2*f + 4*f - 216 = n. What is the greatest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/15)\/d)\/(d*d**(-5\/2)))\/(d\/(d**5\/d*d)*d**(-4)\/d) assuming d is positive.\nAnswer: d**(283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 2*r**3 - r**2 + r - 1. Let k be q(1). Let w be 3\/(-6)*-14*k. Let t = w - 3. Sort t, 5, -3 in increasing order.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - 8 - -8 - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((720\/(-264))\/(-30))\/(3\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -7565 divided by 85\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -17 times -0.07051\nAnswer: 1.19867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**4 - 7*d**4 + 5*d**4 + (56 - 228 - 359)*(4*d**4 + 0*d**4 - 2*d**4).\nAnswer: -1067*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a + 2*a + 3*a)*(-3*a**3 - 3*a**3 + 5*a**3) + 3*a - 3*a - 3*a**4.\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*k**3 + k**2 - k**2 - 17*k**3.\nAnswer: -51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2919\/2 + 1459. Which is the nearest to 0? (a) 1.23 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 21949500 * 1.\nAnswer: 21949500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 18*y**3 - 4*y**2 - 2*y + 3. Suppose 6*a + 2 = 20. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 773 + -770. Solve -2\/7*c**2 + 0*c + 0 + 2\/7*c**b + 2\/7*c**4 - 2\/7*c**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11411 - -11413. Which is the fourth smallest value? (a) 0.5 (b) 3\/5 (c) -0.5 (d) -26 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-48)*-24)\/((-3)\/2)*37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 2*j)*(1 + 3 + 0)*(-2*j**2 + j - j).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 398001.\nAnswer: 3, 132667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -2*c**2. Let v(p) = -6*p**2 - 8*p - 65. Let j(r) = -4*r**2 - 5*r - 43. Let k(h) = -8*j(h) + 5*v(h). Calculate o(k(w)).\nAnswer: -8*w**4 - 152*w**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 7094920 rounded to the nearest ten thousand?\nAnswer: 7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes after 3:03 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 22174*f + 342 + 0 = 22193*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 301278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 5 + 9. Let r(d) = 4*d**3 - 2*d - 2. Let y(q) = -5*q**3 + q**2 + 2*q + 3. Let h be (-2)\/(4*(-2)\/12). Calculate h*r(x) + v*y(x).\nAnswer: 2*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 6 - 4 = 0. Let m = 4 - i. Solve m*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 113 - 225 - n**2 + 0*n**4 - 23*n**3 + 5*n**4 + 110 - 4*n**4 - 3*n as b + i*n**2 + o*n**4 + a*n**3 + j*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101*n + 106*n - 35 = 0. Suppose -n*y + 205 = -600. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t - g - 694656 = -694589, 0 = 2*t + 9*g - 81 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/4795 and 53\/2908510.\nAnswer: 20359570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -5*g**2\/4 + 25*g - 125 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11527 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 2*m + 24 = -4*c, 0 = 2*c - 3*m + 16. Let y be 4 - (2 - 45\/(-27)). Put y, -0.054, c in descending order.\nAnswer: y, -0.054, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1322323123 + -20?\nAnswer: 1322323103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 133*r - 10346. What is b(78)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2 = -6. Let c(x) = -x**3 - 8*x**2 - 7*x + 4. Let m be (-58)\/8 - (-3)\/12. Let h be c(m). Solve 0 = h*w - j*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37, -35, -31, -25, -17, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 8\/3 (c) -332526\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 18986125751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/2076 and 99\/272.\nAnswer: 141168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -186889*s**3 + 349685*s wrt s.\nAnswer: -1121334*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 13586 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(-1\/5)*h**(1\/9))\/(h**(4\/3)*h)**(-40))**(5\/9))**31 assuming h is positive.\nAnswer: h**(130076\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 10*j**2 - 4*j + 1. Let q(x) = -2*x**2 + x - 1. Calculate 2*m(u) + 6*q(u).\nAnswer: 8*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (c - 3*c + c)*(94*c - 53 - 54 + 107).\nAnswer: -94*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -28842 + 30694. Calculate the remainder when g is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 9*i = -10. Suppose i*d - 3*d + 858 = a, 0 = -3*d + 2*a + 2584. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7761012 a multiple of 1182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h + 10. Let i(l) = 3*l + 31. Let g(j) = 3*i(j) - 8*r(j). Let b be g(3). Let w(z) = 16 - b + 22*z**2. Let c(n) = 2*n. Give w(c(d)).\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 45340 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 69 + 75 = 0. Let u(g) = -11*g - 5*g + 21*g + 2 - a*g. What is u(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/6))**(-8\/5)\/(w**(3\/5))**(-7\/4) assuming w is positive.\nAnswer: w**(79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17 + -41. Let t = -39 - l. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2675*h + 165. Let c(u) = 892*u - 62. Calculate 8*c(k) + 3*j(k).\nAnswer: -889*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 2*l + 3*l + 5 = 0, -l - 1 = -2*y. Suppose y = 5*t - 4*j - 30, j + j - 30 = -2*t. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + r - 13 = -6, -5*i + 3*r = -35. What is the biggest value in i, 2, 2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5525, -5517, -5505, -5489?\n\"Answer: 2*b**2 + 2*b - 5529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 5279 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 22*w**2 - 7*w + 17. Is a(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*p - 1, 3 = 2*p - l + 4. Let n = 3 - p. Suppose 28199998 = 6*x - n*x + y, 5*x - 4*y = 47000008. What is x rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.53 + -6.73. Let a = f + 4. Let n = -3.5 - a. What is n rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -3.3. Let j = g + -1.05. Let z = j - -0.15. What is the nearest to -0.1 in 0, z, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - 107. Let q = k - -128. Which is the second smallest value? (a) q (b) 0.3 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 3:56 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.108636 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(33) + sqrt(33)*-1)\/sqrt(3) - (-1 + sqrt(1100))))**2.\nAnswer: -180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0048*-114.\nAnswer: -0.5472","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let 2*a**3\/11 - 4927832*a**2\/11 + 3035441027528*a\/11 = 0. Calculate a.\nAnswer: 0, 1231958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2997, -3356, -3779, -4272, -4841, -5492, -6231, -7064?\nAnswer: -7997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 132b (base 12) to base 5\nAnswer: 32240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*g + 129 - 3*g - 129 + 14*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -55*w + 1. Suppose 2*p - 23 = -3*i, 5*i - 4*p - 30 - 23 = 0. Let z be (-2 + 12\/i)\/(4\/6). What is the tens digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {o: 7, z: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 809\/9 - 90. Let o = -0.03 - 0.42. Let s = o - -0.45. Which is the closest to 1\/2? (a) s (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*p**3 + p**3 + 2*p**3 + 2*p**3 + 2*p**3 - 5*p**3 + (-3 + 3 - 2*p**3)*(1 + 3 - 5).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -6300 + -34?\nAnswer: -6334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32433, -32419, -32405, -32391, -32377?\nAnswer: -32363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 2650 (base 12) to base 15.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -812*p**3 - 8*p**2 - 9*p. Let r(i) = 809*i**3 + 9*i**2 + 10*i. What is 9*l(u) + 8*r(u)?\nAnswer: -836*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1474)\/(-804)*27\/165.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.186 - 0.206. Let q = 591 - 590.5. Which is the closest to 2\/3? (a) h (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -2 + sqrt(1539)*-5 + sqrt(1539) - (4*(sqrt(1539) + -4) + 2)**2.\nAnswer: -24819 + 972*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 5*h - 4 - 5 = 0, 0 = 2*j + 2*h - 2. What is the second derivative of 44*t**3 - 48 - 17*t**j + 78*t**3 + 4*t**2 + 15*t**2 + t wrt t?\nAnswer: 732*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-3 - -2) + 843)\/(54\/135)?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 15 + 0\/1*-1. Let w be z\/(-25)*(-10)\/18. What is the smallest value in 3, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -52461, -47892, -43321, -38748, -34173, -29596?\nAnswer: -25017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -731\/6 - -299\/2. Let t = i + -28. What is the smallest value in 5, t, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 248 - 4?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -265*j**2 - 43374. Let x(f) = 2*f. What is v(x(w))?\nAnswer: -1060*w**2 - 43374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-2 + sqrt(171) + sqrt(171) + 0 + sqrt(171) + 5 + sqrt(171) + 2).\nAnswer: 15 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -53, -5, 16 in increasing order.\nAnswer: -53, -5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.2 + -3.2. Let v = 14.31 + -0.31. Let a = 19 - v. Sort a, 0.5, f.\nAnswer: f, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from reryeryrryeyrryerry.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*b + 0*b + 0*b)*(68*b + 63*b - b**3 - 133*b - 29) to the form y*b + x + v*b**3 + m*b**2 + w*b**4 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of t**4\/4 + t**3\/3 - t**2\/2 - 3*t + 333. Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -247 + 235.9. Let f = g - -11.099942. What is f rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -99*y**2 + 44. Let n(p) = -98*p**2 + 43. Let c(z) = -4*m(z) + 3*n(z). Find the first derivative of c(a) wrt a.\nAnswer: 204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -579, -995, -1411, -1827?\n\"Answer: -416*y - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*a*l**3 - a*l**2 - 26651*a*l + 5924*l**4 wrt l?\nAnswer: -36*a*l - 2*a + 71088*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 0*c - c**3 + 2*c**2 + 5*c**2 - 2*c + 109 - 110. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -473.00000606 - -473. Round h to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-8)\/12)\/((-2)\/(-9)) - 37. Let t = i + 39. Let p be (-2)\/3 - t\/(-3). Which is the nearest to 0.1? (a) -4 (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.0738 less than or equal to 714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*f - 325*f**2 + 25*f.\nAnswer: -325*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -164042 or -164046?\nAnswer: -164046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 16 - ((-7)\/(-1) - 3). Let u(a) = a**3 - 13*a**2 + 11*a + 13. Let v be u(o). What is the remainder when ((-6)\/3)\/2*v*-17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47 - 6341*f**2 + 6341*f**2 - 5*f**3.\nAnswer: -5*f**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3303 - -14040005?\nAnswer: 14032302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (15\/5)\/(3\/(3\/3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 PM and 9:55 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**2 - 13*l + 25. Calculate u(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 5. Let u = 5.84 - 5.34. Let b = 17 + -25. Put b, w, u in decreasing order.\nAnswer: w, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -128 = -16*i - 352. Let j(k) = -8*k**2 - 2. Let d(a) = -27*a**2 - 7. Let t(r) = i*j(r) + 4*d(r). Let m(x) = 4*x**2. Give m(t(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 151a3 + -5?\nAnswer: 1519b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 364 = -o + 4*h, 0 = 2*o + 3*h - 676. Suppose 2*s - 284 = o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, u: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - l - 51 = 0, -17*l - 60 = -3*n - 19*l. What is the greatest common divisor of n and 3474?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, -75, -221, -497, -945?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -23\/2537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3*8 - (-2)\/2. Suppose 6*x - 10*x = 2*u - 14, 18 = 4*u - 2*x. What is the greatest common divisor of c and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 546533 is divided by 452?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.292, -1\/7, 3, -2\/3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 206*d - 415*d + 113 + 207*d.\nAnswer: -2*d + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 34 = 4*o, 5*k - 5*o + 2 - 27 = 0. Let g = 7815 + -7808. Calculate the remainder when k is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 2*w - 1. Let g be z(-1). Which is smaller: g or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 34538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-54)*-10)\/((-8)\/((-144)\/(-45)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 126 minutes after 4:59 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -112, -113, -114, -115, -116?\n\"Answer: -r - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1306*p - 2*p**2 - 268*p**4 - 2 - 2623*p + 1315*p to the form z*p**2 + n*p**4 + t*p**3 + y*p + l and give n.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -0.9, -36\/19, 0.044 in decreasing order.\nAnswer: 0.044, -0.9, -36\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 200*q - 5391. Calculate m(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1321280078 divided by 7099.\nAnswer: 186122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xkg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.1 and -51860?\nAnswer: 51861.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.054, -4, 5364, -1\/2?\nAnswer: 5364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 - 84 = -30*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4217463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -8, 5, 21.\nAnswer: -8, -2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -645*u**3 + 1063*u**3 - 420*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 543140476?\nAnswer: 2, 1609, 84391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 5*i + 0 = -40, -3*i - 9 = 0. Suppose 0 = l*a + 5*q + 45, 4*a - 4 + 28 = -q. Is -2 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -5687 - 27605. Suppose -4*i - 11677 - b = 0. What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 90 and 1520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -7.7. Let m = 2.7 - -1.3. What is the third biggest value in -4, f, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 + -0.25. Suppose -38 = 5*w + 3*q, 3*w - 8*q + 25 = -12*q. Let a be ((-24)\/16)\/((-3)\/4) + w. What is the nearest to j in 0.4, a, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1027068 nanograms to kilograms.\nAnswer: 0.0000000000001027068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:36 AM and 5:08 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/6 + (-63)\/15 + 576\/30.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-370)\/95 + (-4)\/38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 509649997 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from omovvvvo. Give prob of sequence mvo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (47\/(1269\/(-18)))\/(2\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*g + 14*g - q - 150, 564 = 4*g + 5*q. What is the highest common factor of g and 1825?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - (-1 + 12 + -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 - (-3 + (-5)\/15). Let a = 0.1 + 0.1. Let b = a - 0.3. What is the closest to -2\/3 in -5, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 - 1)*(434 - 434 + 90*n**2).\nAnswer: -270*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -56520 minus 13?\nAnswer: -56533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 528 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 7106.599 milligrams?\nAnswer: 0.007106599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**2*m*m**(7\/4)*(m**0*m*m)\/(m**(-2\/9)*m*m)*((m*(m*(m*(m\/(m\/(m**5\/m)*m))\/m)\/m*m)\/m)\/m**1)\/((m*m*(m**(-1\/2)\/m)\/m)\/m)**7 assuming m is positive.\nAnswer: m**(665\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 2*r - 5*x, -4*x + 21 = 7*r - 2*r. Let s(u) = 0 + 2*u**2 + 5 + 6*u - 3. Let q be s(-4). Calculate the highest common factor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 121\/4393?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*q + 135*q + 288. Which is smaller: q or -22\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1367 + -42.3.\nAnswer: -1409.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2390 - 1088. What are the prime factors of b?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 1, 20 in ascending order.\nAnswer: 1, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -102, -210, -326, -450, -582?\n\"Answer: -4*o**2 - 96*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 43233.3 and 0.1?\nAnswer: 4323.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 3 = -v, -5*l = -4*v - 28 - 2. Let o be (0\/((-2)\/(-1)))\/l. Suppose o = k + k - 56. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3159*r**3 + 798?\nAnswer: -9477*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4.8009 decades in years?\nAnswer: 48.009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2 - l + 12. Suppose -518*m = -522*m. Calculate a(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 + 7*p**2 + 4. Let c be w(7). Let b be c*(-2 + (-10)\/(-4)). Suppose b*h + 5 = 9. Solve 0 = 3*o + h + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -109 = -4*x + 5*z, 194*x + 2*z - 595 = 80*x + 95*x for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -68479750 to the nearest one hundred thousand.\nAnswer: -68500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1861557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*n + 21 = 42*n + 3*u, n + u - 7 = 0. Sort 5\/8, n, -3, -15 in decreasing order.\nAnswer: 5\/8, n, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 2)*(-5*r**2 + r**2 + 2*r**2) - 10*r**2 - 1266 + 1266.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 AM and 2:27 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24 - -29. Suppose -7*i + 12*i - 3*i**5 - p*i - 3*i**3 - 6*i**4 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24932707.\nAnswer: 3733, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**2 + 15*l - 27. Let c be b(12). Let f be (-2)\/c + (-632)\/(-9). Suppose 3*h + n - 22 = 0, 5*n + f = 4*h + h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.31 * 5447\nAnswer: -1688.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = 2*z - 132 + 143, 4*z + 2*v = -10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -475 + 559. Calculate the remainder when f is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/12 and ((-10)\/45)\/(80\/(-105))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + y - 3*d - 18 = 0, 2*y - 5*d - 12 = 0. Let x(s) = 24*s**2 - 10*s - 5. Let f be x(1). What is the highest common factor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 17*g = -20*g - 28, n + g = -42. Suppose 0 = 3*i - 3*h - 309, i - h - 2*h = 93. Let l = n + i. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*r*z**2 + 51*r + 15*z**2 + 2 wrt z?\nAnswer: -8*r*z + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of -3*m**7\/7 + 33*m**5\/5 + 475*m**3\/3 - 455. What is the third derivative of v(y) wrt y?\nAnswer: -360*y**3 + 792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:56 AM and 4:17 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 151*a - 593. Let n be m(4). Let j = -65 + 67. Solve 3*t - t = 2*k + j, k = -2*t + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:40 PM and 4:52 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1182 - 1183. Let q(y) = 3*y - 3. Let a be q(-9). Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 26, 5, 515, 3, 2 in descending order.\nAnswer: 515, 26, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(4\/200*-4). Let n = 50 - u. Solve 5*z + 0*z - 15 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 8 = 0, -674*z + 50 = -680*z - 2*g for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.0239 and 70.4869.\nAnswer: 70.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 8*v. Let d(w) = -252412*w. Give c(d(g)).\nAnswer: -2019296*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 15. Suppose 4*z - 5*x - 31 = 0, 0*x - 4*x = h. Solve 4*u = -z*w - 20, -4*w - 12 + 4 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -193.6?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 20, 31, 42, 53?\n\"Answer: 11*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.469 + 2936312.0699.\nAnswer: 2936311.6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -65*x**2 - 1. Let s be z(-1). Let p be 1 - 2 - s\/42. Let h = 3 - 1. Are h and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*b + 24*b = -4*y - 51, 3*y = 2*b - 41 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 1 + 4 = 0, -4*n + 5 = -z. Let l(t) = -9*t**2 + 10*t + 5. Let k(m) = m**2 - m - 1. Give z*l(v) - 6*k(v).\nAnswer: 3*v**2 - 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 96*b**4 + 142*b**4 - 249*b**4)*(0 + 5 - 3).\nAnswer: -22*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 + 20)*22\/55*4\/(-30).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f**4 - 2826*f**3 + 934329*f**2 - 68232780*f + 132750900 = 0. What is f?\nAnswer: -1214, 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -20345 + 2?\nAnswer: -20343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -208283943\/698 + 298401. What is the common denominator of -67\/20 and i?\nAnswer: 6980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 35*x + 28*x - 1 + 5*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 12*g + 133 = -9*g, -5*g - 15 = 0. Let v = -149 - -48. Let o = r - v. What is the greatest common divisor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2*b**2 + 1)*(0 + 1 + 0)*(5*b**2 - b**2 - 2*b**2)*(-b + 0*b + 0*b).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 122131216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.99 - -0.01. Let k be 15*20\/(-1950) + (-19)\/(-39). Sort a, k, -3\/4, -1 in ascending order.\nAnswer: -1, -3\/4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of (-744)\/(-372) - (-5615)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*v + 607088 = 85*v - 342430. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-18))\/((-4)\/(-32)*-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -48665, -78, 0.04?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (36 - 81*f - f**3 + 81*f)*(0*f + f + f) + (33*f + 144 - 144)*(-f**2 - 2*f**3 + f**2) in the form k*f + p*f**3 + n + d*f**2 + g*f**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z - 12*z + 14*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 45424 or 45423?\nAnswer: 45423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 4, v: 4, w: 2}. Give prob of sequence uuvw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*((sqrt(500)*1 + sqrt(500))*-3 + sqrt(500))*5 + 4)*5)**2.\nAnswer: 250000*sqrt(5) + 195312900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 292956603 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from sxgs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-6)\/12)\/(1\/(-760)). Suppose -v = -m + 293. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 11:58 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 2*j**3 - 180*j**2\/7 + 250*j\/7 + 1500\/7 = 0. Calculate j.\nAnswer: -15\/7, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j - 3. What is m(19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 10*c + 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n = a - n + 18, 0 = 5*a - n + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of n**4\/12 - 12437*n. Let p(x) = -6*x**2 + 409. What is p(r(m))?\nAnswer: -6*m**4 + 409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 AM and 12:30 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 13925927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2989*i - 134483. Determine w(-45).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 6*c**3 - 14*c**2 + 11*c + 14. Let d(n) = -4*n**3 + 9*n**2 - 7*n - 9. Give 8*d(o) + 5*f(o).\nAnswer: -2*o**3 + 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 123\/(-2332) + (-367)\/(-7340) and -103\/220.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2836380 = 39*j - 2835678 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -37a27 (base 11) to base 3.\nAnswer: -2202201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6.70226g in milligrams?\nAnswer: 6702.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 247 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 261 (b) 2\/11 (c) 5\/3 (d) 5 (e) 1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 86348?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*h = -12*h + 90. Which is bigger: h or -18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 119890 divided by 23978?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + -5. Let q = -5 - l. Let p = q + 1.4. Which is the biggest value? (a) 2\/7 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 21\/88 and -5\/7194?\nAnswer: 28776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-21)\/(315\/78))\/(2\/(-50)*10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.1, -261, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, c: 1, s: 2, a: 1}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + -1 - -2) + (16 - (0 + (-24 - -42)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 2 + 4 + (1 - 1 - 2)*(-3 - 1 + 2) + 2 + 5 - 3)*(1180 + 27*a - 1180) as m*a + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 110 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1*1 - 231\/(-12) and ((-29)\/(-6))\/(-3 - (0 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 339 and 9?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 22 = -3*k + u, 3*u + 2 = k. Let w = k - -7. Let f(v) = v**3 + 2*v**2 - 4*v + 1. Let i be f(w). Solve -i*a - 13 - 3 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.5 (b) 54 (c) -0.16 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 9054840 divided by 14844?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 + -1 + 14 + -1. Suppose -3*a = -5*a - j. Let h be (-1 + -2)*2\/a. Solve 5 = -4*m + h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 120404, 120399, 120394, 120389, 120384?\nAnswer: 120379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2\/3*d**3 - 84 + 2\/3*d**4 + 86*d - 70\/3*d**2 = 0. Calculate d.\nAnswer: -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1011 - 564. Which is smaller: 448 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 32339 + -22982. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17*a**6 + 116*a**4 - 2292*a**2?\nAnswer: -2040*a**3 + 2784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 1790 = 5*p, -2*h - 4*p - 716 = -4*h. Let q = h + -254. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -j**5 + 198*j**4 + 7755*j**3 - 29600*j**2 - 205044*j - 232848 = 0.\nAnswer: -36, -2, 7, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -6*v + 6. Let k(b) = 7*b - 6. What is 5*k(c) + 6*x(c)?\nAnswer: -c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/12)\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - ((4 + -7 - -1) + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 201 (base 9) to base 12\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -3*g**2 + 9*g + 1. Let s be z(3). Let y(f) = 35*f**2 + 2*f + 1. What is the tens digit of y(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*w = 147*w - 106*w + 239*w + 10092 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*4*3\/210?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -8 + 4 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-357405)\/10150302*4\/10*1\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**2 + r. Let d(o) = -4*o**2 - 5*o. Let x(f) = 2*d(f) + 9*j(f). Let k be 32\/(-24) - (-32)\/6. What is the remainder when 22 is divided by x(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*s = -3*x - 3*s + 17, -s - 17 = -4*x. Suppose 2*i - 248 = -3*i - 3*a, 0 = x*i + 2*a - 200. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 240\/37 or 6?\nAnswer: 240\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of f**5\/40 + 7*f**4\/12 + 25*f**3\/12 + 3*f**2 + 61*f. Let a(s) = 0. Calculate s.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9498964?\nAnswer: 2, 499, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2154130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 0 - 139\/8*r**3 + 1\/8*r**5 + 47\/4*r**2 + 0*r + 11\/2*r**4 = 0.\nAnswer: -47, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1806875 and 239127.\nAnswer: 1046180625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((99138\/195)\/31)\/((-4)\/10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1249888 is divided by 92?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 266 + 46 = 0. Suppose -6*b + 3*b = -k. Calculate the remainder when 103 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-96)\/84*7\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 143*k - 108 = 125*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-22)\/(-33))\/(2\/(12\/(-2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 35*o**2 + 15*o - 15. Let z(g) = -8 + 13 + 5*g**2 - 3 + 5*g**2 - 15*g**2 - 2*g. Calculate 2*s(x) + 15*z(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*k**3 - 4*k**3 - k**3)*(3 + 2 - 1) - 2*k**3 - 5*k**3 + 5*k**3)*(-2*k**2 - k**2 + 6*k**2).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 116614069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 222688181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be 282\/90 - 7 - -4. What is the nearest to 0.1 in 5, -2\/5, q, 0.06?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/19)\/y)\/((y\/(y\/(((y*y*y**(-3\/4))\/y*y)\/y)))\/y)*((y\/(y\/y**(2\/9)))\/y)\/y*y**(9\/4)*y)**(-28) assuming y is positive.\nAnswer: y**(-5348\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((1 + sqrt(98) + sqrt(98) + 0 - (0 + sqrt(98))*-4)*5 + 5)**2.\nAnswer: 4200*sqrt(2) + 88302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(((-2)\/55)\/((-40)\/(-50))). Let a = -82 + u. Solve a*o = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = -3*m - 16, 3*m = -35*w + 38*w - 24 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 10:19 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*r - r - 6*r + 16*r - 15 with respect to r.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4.9? (a) -18 (b) -261 (c) -8 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (39*p - 670 + 670 + (0 + 2*p + 0)*(-3 + 4 + 1) - 4*p + 0*p + 3*p)*(-28 + 29 - 15 - 25 - 21).\nAnswer: -2520*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-7)\/42*1)\/5*-4. What is the closest to 0.05 in 19, -3, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 8:47 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*k**3 - 27*k - 16*k**3 - 33*k - 30*k + 133*k - 43*k.\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1680 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 - 8. Let a = -4 - -10. Let w(r) = -4*r**3 - 4*r**2 - 3*r + 4. Let g(t) = 1 - 3*t + 2*t + 3*t**2 - t**3 + 0*t**2 - 4*t**2. Determine a*g(q) + z*w(q).\nAnswer: 2*q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 239*y - 8 - 301607*y**2 + 301610*y**2 as j*y**2 + l + k*y and give k.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 4*i - 8 = 0, -k + 3*i + 9 = 3*k. Suppose k*h + 20 = 7*h. Find the third derivative of -14*z**5 + 24*z**h + 2*z**2 - 14*z**2 wrt z.\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -1, 5, 3, -1\/24 in descending order.\nAnswer: 5, 3, 0.3, -1\/24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -53, -80, -103, -116, -113, -88?\n\"Answer: t**3 - 4*t**2 - 22*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -331 plus 465.34857?\nAnswer: 134.34857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 40*k - 54. Suppose 3*s + 2*c - 20 = 0, -k*s - 3*c = -5*c - 10. Let m(j) = -j + 5. Let l be m(5). Solve 2*t + s = 0, 3*q = -l*t + t + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002148756 to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/16, 15, -204\/7, -5\/3, 5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3*r - 12*r + 10*r + 3*r**2 + (r - 3*r + r)*(0*r - 3*r + 2*r))*(-2*r + 5*r + 0*r).\nAnswer: 12*r**3 + 3*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (15 + -14)*118\/2. Suppose 3*i = 2*s + 44, -8*i - s + k = -5*i. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.008 and 21471014256?\nAnswer: 21471014255.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3520872687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w + 73. Let i(f) = 237*f. Give i(v(y)).\nAnswer: -237*y + 17301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.9 - -0.9. Suppose -l - 22 = 5*c, -5*c - 2*l - 29 = -5. Let x be ((-2)\/(-9))\/(2\/c). Is x at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 168*a - 987. Let h be y(6). Solve 0 = t + 3*b - 18, t - 9 = 3*b - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5415*t - 7229*t + 2172*t)*(1 - 2*t**4 - 1) + 5*t**5 - 3*t**5 - t**5.\nAnswer: 20945*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -32? (a) -5 (b) -50 (c) -0.44 (d) 14 (e) 1 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of -2 + 3395\/14 - 1\/2 and 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5a5699 (base 11) in base 10?\nAnswer: -959154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3\/3 - 6952*z**2\/3 - 590941*z\/3 - 583988\/3.\nAnswer: (z - 7036)*(z + 1)*(z + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69\/21 - 3 - (-24)\/(-182).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rcvhvr. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-6)\/(-21))\/((-27)\/63). Let i = 3 + 1. Which is the nearest to 0? (a) i (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 16 (c) 1571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 3) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/(-140))\/((9\/(-15))\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 857469.\nAnswer: 3, 285823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -2*p - 854, 295 = 4*l - 3*p - 554. Let g = l - 25. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -124 + 81 + 60 + 0 + 32?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of c**5\/20 - 2*c**4\/3 - 5*c**3\/3 + 3*c**2 + 2*c + 3. What is o(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(171)*2 + 0.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -a + 4*s, -s + 5 + 2 = 3*a. Put a, -20, 2, 0 in decreasing order.\nAnswer: a, 2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 47 - 37. What is the lowest common multiple of k and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 4*l**2 - 10*l - 5. Suppose 3*d = 2*r + 4, -5*d + 4*d - 43 = -7*r. Let z(m) = -11*m**2 + 31*m + 14. Calculate d*z(p) + 17*b(p).\nAnswer: 2*p**2 + 16*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 2*q**2 + q + 6. Let m be f(3). Let n(y) = -y**2 - 6. Give n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 561 - 559. Let z = 0.25 - -0.05. Which is the smallest value? (a) -2 (b) -4 (c) u (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -5*u + 14, 0 = -0*u - 4*u - 5*m + 6. Let s(f) = f**3 + 4*f**2 - 2*f + 5. What is the tens digit of s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -167\/994980 and -67\/552.\nAnswer: 1989960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -1449 = 82*o - 2515 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d - 3. Let o be m(11). Solve 4*p = 5*q - 2 - o, 2 = q + p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 11101001101100010001000?\nAnswer: 11101001101100010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 - 2. Solve 5*q + 3 = -5*f - k, 3*q = -5*f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -17 + 3. Let a be 3\/(-6) + v\/(-4). Suppose b - a = 0, 4*z - b - 15 = 18. Solve -5*x - 10 - z = -g, -2*x = 4*g - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410312 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-21) + 38\/14. Suppose -t*s - 3*m = -s - 24, 0 = 5*m. Suppose 2*k - 3*k = 3, -4*d + 43 = -5*k. Calculate the remainder when s is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, y: 5, r: 4, w: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0751 - 4.1051. Let q = -0.03 - v. Sort 3\/8, q, -0.3 in decreasing order.\nAnswer: q, 3\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 221118044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20 + -11 - (-14 - 0)) + 12 + 2 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*w - w + 2*w)*(-3 + 1 + 1) - 3*w - w + 2*w + 43 - 81*w - 29 - 10 - 4*w + 0*w + 2*w to t + d*w and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 241?\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 109650 and 137785.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(-20)*(-56)\/(-21)*12\/(-40)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -3271, -3046, -2813, -2566, -2299, -2006?\n\"Answer: z**3 - 2*z**2 + 224*z - 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/15*(176\/40)\/(-11).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 4 = -3*s, r - s = -0*r + 2. Let f be (-15 + 25)*r\/2. What is the units digit of f*((-22)\/(-33) + 554\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 315 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 598 and 52949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -626, -23, -706 in decreasing order.\nAnswer: -23, -626, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 9*r**4 - 159 - 2*r**2 - 4*r**3 + 3*r**3 - r + 158 + 3*r in the form l*r**2 + w + h*r**4 + j*r + y*r**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 310 = 6*r. Calculate the highest common factor of 1705 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 16*s - 312867*s**2 + 312894*s**2 - 116*s as n + i*s**2 + t*s and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 z when three letters picked without replacement from {j: 1, a: 3, g: 1, z: 1, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*x - 2*z, x + z = -4*x - 2. Let n(b) = -5*b + 4*b + x*b. Let r(y) = 45*y**2 + 25*y**2 - 30*y**2. Determine r(n(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 + 28 = 4*c. Solve y + c*t = 6, 0*y - y + 4*t = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 918 + -916. What is the third derivative of -5364*m**j + 5341*m**2 - 4*m**3 - 37*m**3 - 103*m**3 wrt m?\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1 + (-5 + sqrt(1331) + 0 - ((sqrt(1331) - 2*sqrt(1331)) + -3) - (sqrt(1331)*-2*-3 - (sqrt(1331) + 0)*5)))**2.\nAnswer: -5360 + 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxxrxr. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 26 + 134. What is the smallest common multiple of 2 and w?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 189112864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-430)\/(-30) + -15)*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 53, 17, -12, 4 in descending order.\nAnswer: 53, 17, 11, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 3*w - 320 = u, 0 = -2*u + 114*w + 21*w + 128*w - 1437 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1881 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 637385144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n**3 + 12*n + 3. Let v(x) be the first derivative of x**4\/4 + 6*x**2 + 2*x + 3192. What is -2*d(t) + 3*v(t)?\nAnswer: -t**3 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -3*o**3 + 2*o**2 + 4*o - 13. Let q be v(-5). Suppose 97*t = 93*t + q. Calculate the remainder when t is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.015 - -0.01496986. Round w to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z - 4*z + z)*(-z**2 + 4 - 4 + 17*z**2 - 4*z**2 + 13*z**2 + (3*z + 2*z - 7*z)*(z - 4*z + 2*z))*((-3 + 7 - 2)*(1 - 2 + 0) + 1 + 0 - 3).\nAnswer: 540*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1163352667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 10*z**2 - 2*z + 2. Let q be n(1). Suppose -3*u = -3*b - 1491, -6*b = -b - q. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 630 and 2142?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 113254036 divided by 56627018?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 2751, -3\/5 in descending order.\nAnswer: 2751, -2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 1 - 37 = 4*s, -5 = 5*m - 5*s. Are m and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -35*h**2 - 2865*h - 8280.\nAnswer: -5*(h + 3)*(7*h + 552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the third derivative of -z**4\/12 + z**3\/6 - 2*z**2. Let q(k) = 10*k - 4. Let h = -390 - -376. Determine h*b(l) - 3*q(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1093, -2200, -3317, -4450, -5605, -6788, -8005, -9262?\n\"Answer: -a**3 + a**2 - 1103*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 2*b = -3*c - 72, 0 = 2*b + c - 26. Suppose -27*m - b = -30*m. Suppose 4*h + m*r = 2*r + 8, 4*r = h + 17. Sort 10, h, -4.\nAnswer: -4, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38*l**2 - 74*l**2 + 34*l**2)*(-5*l**3 - l**3 + 2*l**3).\nAnswer: 312*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -36*n - 58. Let p be a(-7). What is the third derivative of -p*w + 20130 - 20130 - 2*w**2 - 103*w**6 wrt w?\nAnswer: -12360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of 7\/12*n**4 + 7\/6*n**3 + n + 0 - 1\/10*n**5 + 0*n**2. Let m(h) = -h**3 + 3*h**2 + 3*h. Give 7*m(x) - 3*t(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -430540 (base 8) to base 3.\nAnswer: -21022010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.6, -10\/3, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 10*w + 2*w - 20*w + 39. Let f be i(4). Suppose f*u - 65 = 19. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*i**3 - 5731*i**2 - 11*i - 5310656 wrt i?\nAnswer: 6*i**2 - 11462*i - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -192\/5*l - 2\/5*l**4 - 10*l**3 - 332\/5*l**2 + 576\/5 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = u - 387, -5 = 3*h + 1. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from {n: 2, f: 2, u: 2, b: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -140 times 0.1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = k - 35. Determine t so that -3*t + t**2 - t - k*t**2 - 2*t**3 + 0*t = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 36 (b) -4 (c) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -188758846 divided by -6.\nAnswer: 94379423\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/6 and 29\/792514?\nAnswer: 2377542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5.91316321 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 303710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 6845641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.008 + -0.008021. What is w rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -15*c**3 - 4*c**2 - 9*c - 5. Calculate g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -88\/2685 and -62\/40275?\nAnswer: 40275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135718?\nAnswer: 2, 11, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + b + 0*b)*(7*b**4 + 5*b**4 - 4*b**4 + (-3 + 3 - b)*(3*b**3 - 16*b**3 + 4*b**3)).\nAnswer: -51*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 5*s**2 + 2*s - 1. Let x(c) = -c**2 + 5*c - 1. Let u be x(4). Suppose 5*f - u*f = 0. Suppose f = 2*d - 2. Calculate p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, -1905045, 6 in increasing order.\nAnswer: -1905045, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -42*q. Let j be b(-1). Suppose 2*i = 2*w - 32, -3*w - 2*w + 78 = -4*i. What is the highest common divisor of w and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 9 + r - 36*r**2 + 6*r - 2*r**3 + 48*r**2. What is the tens digit of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 13 by 263.\nAnswer: 13\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(7) + -5 + 1 + (-1 + sqrt(7))**2 + (sqrt(196)*2)\/sqrt(7) - ((sqrt(175)*-1*-5 - sqrt(175) - -3*(0 + sqrt(175)))**2 + 5).\nAnswer: -8576 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-82)\/(-23616)*72)\/(((-79)\/16)\/(5\/(-10)))\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-7)\/14 + 20\/(-8). What is the smallest common multiple of ((-24)\/24)\/(t\/33) and 230?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3\/2*13140\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 313410 by -93.\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56 + -63 - (92 - (12 + -12) - (3 - 5)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -75*p**3 + 5*p**2 - 10*p + 3. Calculate s(2).\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000314158 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 3, l: 1, g: 5, b: 3}. What is prob of sequence tgt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 5*g + 27, 5*h - 3*g - 47 = -0*g. Let o = h + 52. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.10565 - -0.30565. Which is the nearest to -9? (a) x (b) -5 (c) 3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10212011200200 (base 3) in base 6?\nAnswer: 111540500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 28349, 113383, 255107, 453521, 708625, 1020419?\n\"Answer: 28345*z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -75 and -0.05.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23699638.\nAnswer: 2, 167, 70957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p - 4*h - 7, 0 = -3*p + h + 3 - 14. Let j(b) = -3*b + 1. Let v(s) be the first derivative of 2*s**2 - 2*s - 6. Give p*j(k) - 2*v(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t**3 + 4*t**2 - 10*t - 25. Calculate n(-5).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q. Let r(g) be the second derivative of 25*g**4 - 652*g - 9. Calculate u(r(j)).\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74982, 83727, 92472?\nAnswer: 101217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -28.948644 to 0 dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -8 (c) 1 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 8 = 3*u. Let i(x) = -u*x + x - 2 + 2. Let r(y) = 7*y. What is 6*i(s) + r(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - 0. Let l = -231\/4 - -58. Sort j, 0.2, l in ascending order.\nAnswer: j, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of -n**4\/12 + n**3\/3 - 3*n**2. Let m be f(-5). What is the second derivative of -r + 7*r**2 + m - 12 - r wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 47 - 28. Suppose -2*l - l = -5*c + 9, f = 5*c + 2*l. Solve 0*t + 6 = -c*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26d (base 16) to base 2.\nAnswer: 1001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2282*q - 2282*q - 4 + 3*q**2.\nAnswer: 3*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.069 times 1625?\nAnswer: -112.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the second derivative of z**5\/20 - 7*z**4\/12 + 7*z**3\/6 + 3*z**2\/2 - z. Let t be r(6). Let u = t + -4. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5730 is divided by 180.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 35*u**2 - u - 74. Let c be t(-11). Suppose -8*v + 3660 = -c. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 89 or 117?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.95 + -0.69. Round j to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 - ((-4)\/10 - 24\/(-60)). Suppose 3*u - 7*u = -d + 98, d - 71 = -k*u. What is the remainder when d is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3915 or -3920?\nAnswer: -3915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 63512973 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49, -65, -97, -151, -233, -349?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-29 - 4168\/(-144)) + 974\/36?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.912993 millimeters to meters.\nAnswer: 0.004912993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000163 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 34293 and 1656?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 166 and 49219?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 - 21*r**2 - 20*r + 15. List the prime factors of g(-20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -11, -4, -4\/31, -0.1, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/6 and 65\/658.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**4*x*x**(-8))**(-11))**(8\/7))**(-8\/13) assuming x is positive.\nAnswer: x**(-2112\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(187)*6)\/((6*-1*sqrt(99))\/sqrt(9)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 + (-8 + 5 - -11).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -219445*v**2 - 3*v + 2. Let m be g(-6). Round m to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 418162930*q**5 + 493673693*q - 2.\nAnswer: 8363258600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 119741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22081 is divided by 2007.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 - -12. Suppose 4*h = -r*s - 0 - 4, 5*h = 5*s + 45. Solve 3*f + 3*p = -2*f + 27, 4*f - 2*p - h = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 57.66523 to 2 dps.\nAnswer: 57.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1772596 and 2.\nAnswer: 3545192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5086548234.\nAnswer: 2, 3, 15959, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(35\/(-7))*(-2)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19804?\nAnswer: 2, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3\/(-9))\/(4\/(-24)). Suppose -35 = -4*b - a*h + 3*h, -b + 2*h = -14. Suppose -3*f + b*f = 115. Solve 1 = -5*d - 14, -4*p + f = -d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*y**2 + 8*y**2 + 25*y**2 - 4*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -21 - 45. What is the smallest common multiple of (u\/3)\/(4\/12) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 49.7 + -10.7. Which is greater: r or -0.7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 160\/240*(-4)\/(-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 148\/10*(-15)\/(-6). Suppose r*z - 39*z + 34 = 0. Find p, given that 10*p**5 + 21*p - 54*p**3 - 5*p**4 - z*p - 16*p - p**4 - 50*p**2 = 0.\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 915 and 3441010?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*b**2 + 93 - 195 + 102 - 2*b**4 + 2*b**3 to r + n*b**3 + y*b**2 + j*b + o*b**4 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, n: 1, v: 1, f: 2}. What is prob of picking 1 f and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 34 + 31. Suppose 2*c - 19 = -r - c, -r + 3*c = -q. Solve r = -2*k - 2*f, 2*k - k + 3*f + 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -27 (b) -4.18 (c) -4 (d) -0.3 (e) 4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1373*a = -1415*a - 85 + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -10*j**2 + 6*j + 2700 - 2*j + 2*j**3 - 2685 - 7*j. Give h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -6312 (base 10) to base 9\nAnswer: -8583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/6 in 0.4, -4, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l**3 + 131894348*l**2 + 1087257373699392*l - 1087257505593744 = 0 for l.\nAnswer: -16486794, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 6*r + r + 6, -5*c = -2*r - 1. Is 5\/251 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 2.1 (c) -4 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-one halves of a decade in months?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1)\/d)\/d)**30*(d**(2\/5))**(6\/5)*(d**(1\/5)\/d*d\/(d**(-3)*d)*d)\/((d\/((d\/d**6)\/d))\/((d**(1\/2)*d*d)\/d*d)) assuming d is positive.\nAnswer: d**(-4541\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1004 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m + 14. What is a(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t - 2 - 10*t + 11 + 12*t. Let y(z) be the first derivative of z**4\/4 - z**3 - 2*z**2 - 3. Let c be y(4). Determine j(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 - -20.2. Let y = -0.2 + t. Let w = 3.9865 - y. What is w rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 b, and 2 t when four letters picked without replacement from {b: 1, g: 1, r: 2, j: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -125\/108 and 91\/96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -413*h = 306 - 112 + 219. Is -9\/100 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (168\/(-210))\/((-21)\/30)*((-84)\/4)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -57*k + 172*k - 79*k to s*k + j and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 562 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 4*h**2 - 13*h**2 + 98*h**3 - 97*h**3 - h as w + i*h**2 + t*h + d*h**3 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 193020070 times 1\nAnswer: 193020070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -12952846 (b) -0.1 (c) 4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*o*x**2*y**2 + 7*o*y + x**2*y**2 + 7*x**2 - 2*x*y - 7*y**2 - 2 wrt y?\nAnswer: -4*o*x**2 + 2*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.096 + -0.004. Which is the closest to z? (a) -0.5 (b) -0.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-23)\/(-1) + -5 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xcd when three letters picked without replacement from csdcdcdddx?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p = -2*p + 70. Let t(a) = -2*a**2 + 12*a. Let b(h) = h**2 - 13*h. Let g(r) = p*t(r) + 6*b(r). Find the second derivative of g(o) wrt o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 246 and 1.1.\nAnswer: 270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qcwjyjp. Give prob of sequence jcy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.158 - -0.158. Let k = 56 - 227\/4. What is the nearest to k in 0.2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 18, 53, 100, 159, 230, 313, 408?\n\"Answer: 6*r**2 + 17*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 1 - 24*j + 14*j + (4 + 11 + 11)*(j - 4*j + 5*j) + (1 - j - 1)*((-3 + 6 - 1)*(-4 - 3 + 5) + 3 - 2 + 0) as k*j + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 + 5*j. Let d(q) = q**2 - 2*q + 4. Let y be d(0). Suppose -2*x = y + 4. Let f = x - -7. Give w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16468 - 16470. Let w(m) = -27*m + 1. Let d(c) = -13*c + 1. Determine j*w(v) + 5*d(v).\nAnswer: -11*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18 - 1. Let i = 40 + m. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k - 11 + 5*k + 22 - 6 - 7 to the form u + i*k and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f - 9*f + 21*f - 9*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 11042 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-525)\/4)\/25)\/(3\/48*6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 5*c - 20. Let m be p(8). Suppose d = 2*d - m. Solve 0*x = -4*x + d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*c - 5091 + 31626 = 0. List the prime factors of c.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 21 and -65?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 776669.46 hours to weeks.\nAnswer: 4623.0325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 11 and 45.8?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 - 12. What is the common denominator of (28\/(-22))\/((-8)\/p) and (-9)\/4*(-34)\/(-12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -4*f**2. Let r(g) = -g + 1. Let y(u) = -u**2 + 4*u - 4. Let p(o) = -4*r(o) - y(o). Calculate p(j(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -45, -39, -21, 15, 75?\n\"Answer: c**3 - c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 555 by 61.\nAnswer: 555\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -304, -990, -3278, -8104, -16404?\nAnswer: -29114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(-5)*3*-1. Let l = 210.846 - 210.646. What is the nearest to j in -0.3, -25, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**3 + 20*i**2 - 18*i - 16. Let w be q(19). Solve 5*y = w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19 + -15. What is f rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -18*y. Let j(x) = 72*x. Let i(n) = -5*j(n) - 21*s(n). Let g(w) = -w**3 + 4*w**2 + 7*w - 7. Let a be g(5). Let t(k) = 0*k + a*k - k. What is t(i(f))?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 27 - 174 = 0. Suppose -5*f + 158 + 63 = 4*j, -4*f + 4*j + 112 = 0. Calculate the remainder when i is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2\/5 - 138*g\/5 + 4761\/5.\nAnswer: (g - 69)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s + 3. Suppose -13*b = 22*b - 140. Suppose 4*u - 9 = a - 15, 0 = 3*a + 3*u - 78. Let v(i) = -5*i - 16. Determine a*j(p) + b*v(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -2*k**2. Let f(c) be the third derivative of -17*c**5\/60 + 61*c**2. Determine b(f(u)).\nAnswer: -578*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, v: 1, k: 2, a: 1, t: 1, n: 1}. What is prob of sequence nc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 11*g**2 + 7*g + 11. Is q(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 21 = 3*h, 2*n - 10 = -3*h + 8. Let k be ((-38)\/(-8))\/(3\/12) - n. Suppose -14*m = k - 226. Calculate the highest common divisor of 150 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/(-9))\/(24\/36). Sort 3, 4, f in decreasing order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 2*r - 2. Let p be y(3). Let s = p + -4. Suppose 5*l + 5*w - 117 - 118 = 0, 4*l - w - 183 = s. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -6084126, -12168252, -18252378, -24336504, -30420630, -36504756?\n\"Answer: -6084126*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 20*o**2 + o - 42. What is l(20)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**2 - 9*q - 6. Let s be f(-6). Suppose 0*h - 56 = -4*a + 4*h, 3*a = 2*h + 40. Suppose 2*z - s = a. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -4*p. Let b(g) = 2*g**2 + 4*g. What is b(s(a))?\nAnswer: 32*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -3*l + 286. What is the units digit of a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38635 (base 10) in base 16?\nAnswer: 96eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1934320 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(13\/3)\/((i*i**(-2\/31)*i)\/i))**(4\/21))**(31\/5) assuming i is positive.\nAnswer: i**(1264\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 26920722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 2 = 2*d, -5*o = -0*d - d - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -86545*z + 86663*z = -4720 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 + -12.14. Let f = 3.7 - 2.56. Let r = f + c. What is the nearest to r in -5, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-84))\/((-216)\/168)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104413633?\nAnswer: 104413633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*s = -17*s + 7359 + 9443. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 - -27. Suppose -12 = z*i - 12*i. Suppose -4*x = -3*y + 5*y - 12, -2*y = 2*x - i. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 928142000.6 and -0.5.\nAnswer: 928142000.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 29*i - 338. Give s(31).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65*q - 77*q**2 + 65*q.\nAnswer: -77*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/60)\/(1*3\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a**3 - 36*a**3 + 18*a**3)*((12*a + 42*a + 177*a)*(-a + 1 - 1) - 3*a**2 + 2*a**2 + 0*a**2).\nAnswer: 3016*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 64 = d. Let h = -6 - d. Suppose -h*q + 12*q = 196. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 6*u + 2. Let s be h(3). Let b = 26 + -22. Suppose -b*v + 3 = -q, 3*q + 4 - 21 = -v. Solve q*x = -0 + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -47*k**2 + 5*k - 5. Let l(f) = -518*f**2 + 56*f - 56. Determine -5*l(o) + 56*x(o).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.5 and -39589.3.\nAnswer: -39589.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 7*r**3 + 13*r**2 + 5*r + 6. Let j(d) = 8*d**3 + 14*d**2 + 6*d + 7. Let y(w) = 7*h(w) - 6*j(w). What is the smallest common multiple of 7 and y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23245, 46391, 69439, 92389?\nAnswer: 115241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 - -1) + (28 - 21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (22*a + 6*a + 15*a)*(6*a**3 + 18*a**3 - 14*a**3) to o + h*a**3 + d*a**4 + g*a + k*a**2 and give d.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1930 - 1018. Is f < 912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p**3 - 2*p**2 + 2*p**2 + 5*p**3 - 2*p**3 - 4*p**3 + (2 - 1 + 3)*(2*p**3 + 0 + 0) - 4*p - 2*p**3 + 4*p + (-2*p**2 - 2 + 2)*(-5*p + 0*p - 2*p).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 2\/7, 17.5, 0.5, 129, -4, -0.1, 1?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -5*t**2 - t - 1. Let r be o(-1). Suppose 4*n = 2 + 2. Let l(k) = -3*k + 1. Let p be l(n). Sort r, p, 5.\nAnswer: r, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**3 + 15*s**2 + 19*s - 51. What is the smallest common multiple of u(-12) and 33?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.01 in -3, -0.23, 3?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 109*n + 230*n + 13 - 762*n + 100*n to the form o*n + f and give o.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the third derivative of -729*a**6\/8 + 999*a**5\/10 - 59*a**4\/2 + 4*a**3 - 4*a**2 + 5*a. Find h, given that f(h) = 0.\nAnswer: 2\/27, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 66955.59 meters to millimeters.\nAnswer: 66955590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uouuouuuuouuuuuuouo. What is prob of sequence uuo?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -23, -50, -127, -278, -527, -898?\n\"Answer: -4*k**3 - k**2 + 4*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 33926972 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 333 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 256331891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 6. Let m = a + -10. Is -2 - (-81 - m\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 59 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -26628943 not equal to -26628943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5411706697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 0 - 1 + 5*b + 3*b**5 + 2 + 13*b**5 wrt b?\nAnswer: 320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -9*k - 121. Let s(f) = -22*f - 241. Calculate 4*s(g) - 10*u(g).\nAnswer: 2*g + 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 35 = -5*y, -4*h = y - 13 - 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3608 + -1811. Let p = o - 1245. Let i be p\/5 - 2\/5. What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/12 - 4\/6. Which is smaller: l or -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 94752559.\nAnswer: 11, 257, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 54.02794ml in litres?\nAnswer: 0.05402794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c + 6. Suppose -2*x = -4*x - 8. Suppose 3*n - 24 + 6 = 0. Let h(d) = -4 + 21 + 3*d - n*d. Calculate x*h(l) + 11*o(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 32042110141?\nAnswer: -32042110143","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 302?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.38 times 0.1?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - a - 5*k + 125, a - 42 = -2*k. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1 (c) -2 (d) -610 (e) 415\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + 2 - -3) + -7 + (-328)\/(-144). What is the third smallest value in 3, k, -1, -17\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/2 + (5 - -226). Suppose 232 = 3*i + k - 2*k, 0 = 3*i - 2*k - s. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10534040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 50, 50, 52, 56?\n\"Answer: z**2 - 3*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33976025 is divided by 679520.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -927*r - 69. What is the tens digit of o(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 4*q - 1216 = -2*q, -2447 = -4*r + q. What are the prime factors of r?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 43 (base 11) to base 9.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((-6*sqrt(68) + sqrt(17) - sqrt(119)\/(1*sqrt(7))) + (-3 + sqrt(1700) + 1*sqrt(1700))**2).\nAnswer: -13618 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7.893273ng in grams?\nAnswer: 0.000000007893273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-2 + sqrt(40)\/(sqrt(8) - sqrt(8)*-1)) + (sqrt(20)*3 + sqrt(20))\/sqrt(4) + sqrt(30)\/(-2*sqrt(6)))*-3.\nAnswer: -30 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 265 and 130751.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 202.74 + -203. Let d = -372.74 - -357. Let p = d + j. Is 0.1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -170*d**3 - 413*d**2 + 2*d wrt d.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 261109 is divided by 43516?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 3) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 6:42 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -165*p + 3326 - 9101 = 0 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 7*s - 3. Let j = -62 - -63. Suppose -3*z + 3 = 2*n - j, -4*z + 4 = 2*n. Let m(r) = -3*r + 1. Determine n*w(t) + 5*m(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(50)*1.\nAnswer: -5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 51447128573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f - 5. Suppose 2*x - 36 = -4*v, 5*x - 2*v - 25 = v. Let w(b) = -b - 8. What is x*u(q) - 5*w(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 7398494384 to the power of 1\/2, to the nearest integer?\nAnswer: 86015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is n in 3*n**2\/4 + 207*n\/4 - 555\/2 = 0?\nAnswer: -74, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 295 - 2. Let x = l + -294. Let i = -30\/7 - -32\/7. Which is the second smallest value? (a) x (b) i (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3416202 is divided by 2076.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of 2\/3*m**3 - 2*m - 2 - 1\/2*m**2 + 1\/4*m**4. Determine w, given that t(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/6 and 63\/118?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 11*b = -20. Solve b*f = f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -8*a**2 + 2*a + 1. Let t be v(-3). Let f = t - -54. Let q = f - -57. What is the highest common divisor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/43868 and -79\/22660.\nAnswer: 22592020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r**3 + r**3 - 32*r**2 - 3*r - 7 + 30*r**2. Suppose -3*w = -2*g + 10, 0 = 2*w + 3*g + 12 + 12. Is d(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 82.3 - 73. Let o = -534 - -538.3. Let q = o - m. What is the second biggest value in q, 1.7, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = 4*m + 42, 5*m - 3737*i = -3769*i - 141 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -6*n + 11*n - 36*n as s + t*n and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 + 4*v + 2. Let y be s(5). Let z be (-3 - y)\/(-1 - -1 - -1). Suppose 29*g - 34*g + 450 = z. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6174\/377 + -212\/13. What is the second biggest value in 0.1, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*q + 307*q**3 - q**2 + 295*q**3 - 591*q**3 as u*q**3 + i*q**2 + p*q + s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 11*t + 15. Let m be c(-1). Put 3, -2, m, 5 in decreasing order.\nAnswer: 5, m, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94*r - 103*r = -54. Suppose 4*n - 4*l = 36512, -13*l + 16*l = r. Round n to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/4, -5, 1.1, 0.61, 2\/3, 0.49?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*z + 5*z - 13*z - 65*z + 45 with respect to z.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-5)*m**(-2\/7)*(m\/(((m*m\/m**(1\/2))\/m*m)\/m*m))\/m*m**3)\/(m**2\/(m*m*m\/m**(-1\/3))*(m\/m**(2\/5))**(12\/5)) assuming m is positive.\nAnswer: m**(-3037\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 150198166 divided by 4\nAnswer: 75099083\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 78 (base 9) in base 14?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 69 + -68. Let d = 4.93 + 0.07. Let w = d + s. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:44 AM and 8:41 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*h + h**4 - 13*h + 2*h**3 + h**4 to the form f*h**2 + x*h + z*h**3 + r*h**4 + a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7.55 + 8.58. What is b rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0\/(0 + -3) + 4. Suppose -z*y + l + 56 = -3*l, 5*y + l = 46. Solve 3*p = -j + y, -9 = -3*j - p - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 2430*t. Let f(z) = -z. Give v(f(p)).\nAnswer: -2430*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17794 is divided by 330?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 + 5*x + 6. Let w be g(5). Let c = 9 - w. What is the remainder when c is divided by (-2)\/3*(-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 14 - 3. Calculate the greatest common divisor of 68 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 9625 and 4446.\nAnswer: 42792750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2*b**2 - b + 2. Let n(o) = -o + 12. Let r be n(10). Calculate v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -60.17386 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the third derivative of 0 + 0*p**6 + 0*p**5 + 46\/105*p**7 + 13\/3*p**3 + 1\/8*p**4 + 12*p + p**2. Find the second derivative of v(w) wrt w.\nAnswer: 1104*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/211500 and -17\/2350?\nAnswer: 211500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*y**2 + 45671 - 21714 - 23957.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 89752 and 205394?\nAnswer: 10680488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 8.8, 5518, -166 in ascending order.\nAnswer: -166, 8.8, 5518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 21699 times 25?\nAnswer: 542475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -71.234343+-0.1\nAnswer: -71.334343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 78 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.2 + -3. Let j = -23 - -22.7. Is j less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32 divided by -19479?\nAnswer: -32\/19479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 - 24*z**2 - 60*z - 321. Determine s(-22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 5) + 54\/15 - 34\/340*356?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (27\/18)\/(6\/8). Let m be k\/(-2)*5\/(-1). Solve 3*a = -m + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from eveeevvrltvvtteetet.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 8, 3, 1\/4, -2, 4.\nAnswer: -2, 1\/4, 3, 4, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 215.9771 + -29918280?\nAnswer: -29918064.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/(-2)*(-64)\/(-24). Suppose -645 = -f*n + 571. Suppose -j - x = -0*x - n, 2*j - 5*x = 573. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33 and 61\/62433.\nAnswer: 62433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15 - 24. Suppose 2*r + 4*v - 12 = 0, v = 23 - 18. Is (-6)\/r*(-4 - 10698\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 154 is divided by 4*(-92)\/64*(-3 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7341 smaller than -7336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.37261273 to four dps.\nAnswer: -0.3726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -298*a - 390*a - 1667*a.\nAnswer: -2355*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 84 = -3*n. Let u = 335 + -325. Suppose 1311 = u*l - 349. What is the remainder when l is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of -7\/2*j**4 - 7\/3*j**3 + 0*j + 0*j**2 - 13. What is the third derivative of x(z) wrt z?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 638 divided by 2\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*n**5 + 30*n**4 - 1398*n**3 - 18069*n + 9?\nAnswer: -80*n**3 + 360*n**2 - 8388*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -12 + (-10 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 722474*s**3 - 722471*s**3 - 42.\nAnswer: 3*s**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -7. Suppose h*s + 28 = 8*s. Suppose -36 = -4*x + 5*a - 16, -2*x - a - 4 = 0. Solve 2*l - s*l - 20 = x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 24*c. Sort -8, c, 4, -1 in descending order.\nAnswer: 4, c, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14 and 8057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 7*a - 6. Let k(w) = -w**2 - 13*w - 9. Let g be k(-12). Let n be x(g). Suppose n - 1 = -2*r. Let z(y) = -y - 1. Calculate z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(1\/13)*o)\/o**(-5\/3) assuming o is positive.\nAnswer: o**(140\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -37 - -202. Let w be 12\/(-5)*(p\/6)\/(-11). Suppose -4*n = 6 - w. Solve n = -0*v - v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 118*a - 783 = -a + 645. Calculate the least common multiple of a and 40054.\nAnswer: 240324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 + -8. Let r = -219 + 1096\/5. Let u = 5 - 4.5. Sort u, p, r in decreasing order.\nAnswer: p, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53337570 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -4179*v**2 - 8*v - 4. Let y be i(4). Round y to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 5*z + 346 - 86, 305 = 3*b + 4*z. Let o = 100 - b. Suppose -2 - 8 = o*v, -3*w + 84 = -3*v. Calculate the highest common divisor of 156 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 3*i + 18*i**3 - 2*i - 4*i**3 - i in the form x*i**2 + b*i + v*i**3 + q and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*k**2 + 0*k**2 - 173*k + 86*k - 2*k**2.\nAnswer: -2*k**2 - 87*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 8*a**2 - 19*a - 6. Let w be 1\/(3\/9) + 7. Let u be m(w). Let k(v) = -10*v. Let d be k(-2). Solve u*c + 4*j - d = 0, 4*c - 4 + 16 = 4*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 598 = -146. Let l = w + 158. Suppose 3*j + l = 8*j + 5*u, -5*j = 4*u - 41. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 316 and 2449?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 12*g - 13*g - 11863 = 0, -5936 = -2*o + 2*g. Let y = o + 5178. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**5\/7 - 3932*r**4\/7 + 1932492*r**3\/7 + 169160*r**2\/7 - 83265998*r\/7 + 11595468 = 0. What is r?\nAnswer: -7, 1, 6, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*k + 9384 = 41*k. Let v be k\/(-2 - -5 - 264\/80). What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-39 + 9*q**2 - 2*q**2 - 33 + 70)*(-11*q - 4*q - 31*q).\nAnswer: -322*q**3 + 92*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 40*l + 48 - 29 + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 4 + 9 = 0. Let m be (-2)\/7 - (-158)\/14. Is 141*g + (m - 11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 22 + -17. Which is the closest to -0.1? (a) -0.3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20397 is divided by 425.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/((-42)\/(-99)) - (-20)\/70. Let l(j) be the third derivative of 0*j**3 + 0 + 0*j - 1\/180*j**g - 3*j**2 + 1\/72*j**4. Factor l(q).\nAnswer: -q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the second derivative of -g**5\/20 + g**4\/3 - 2*g + 24. Factor x(l).\nAnswer: -l**2*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18288 and 209888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/14 + 44\/7. Suppose 5*g - 2*a = m, -14 = -2*g - 5*a - 0*a. Suppose -25*h = 56 + 19. Put h, g, -1 in descending order.\nAnswer: g, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2536, -5070, -7604?\nAnswer: -10138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 5196 - 5*k - 5196 + 3*k. Let y(q) = -11*q**2 + 5*q. Calculate y(b(h)).\nAnswer: -44*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/7)\/u*u)**6*u**1\/u*u\/((u*u**(-2\/7)*u)\/u)*((u**5\/u)\/(u\/(u*u**(-2\/7))))**(2\/3) assuming u is positive.\nAnswer: u**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j + 2*j - 6*j)*(j - j**3 - j) + (-2*j + 0*j - 10*j)*(j**3 + j**3 - 3*j**3).\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -912 (b) -5 (c) 1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -522\/77 + 135\/14. Calculate the common denominator of 89\/20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 + -7. Suppose x = -2*i + 6*i + 64. Let v = i + 21. Solve -v*h + h - 4*n = 24, 2*h + 11 = -n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 1)*(255 - 100 - 95)*(r - r + 2*r).\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -450? (a) -3 (b) 1\/13 (c) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -84*d*n**4 + 4*d*n**2 - 118*d + 9*n**4 - 93 wrt n.\nAnswer: -336*d*n**3 + 8*d*n + 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does -22460\/3 = -187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 1.83 times -15177\nAnswer: -27773.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 621380 greater than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 85, 172, 259?\n\"Answer: 87*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*h + 104*h = -27*h - 1233 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1355639329*b**2*g + 519617*b*g + 2*b + 86 wrt b.\nAnswer: 2711278658*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -2*i**3 - 5*i**2 + 3*i + 3. Suppose -21 = -h + 5*u, 2*u = h - 4 - 2. Determine c(h).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zfoe when four letters picked without replacement from {e: 6, p: 2, z: 2, o: 1, f: 4, a: 2}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**3 - 5*x**2 - 1. Let l be j(5). Is l less than 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4035)\/(-60) - (-1)\/(-4). Suppose -75 = -2*n - 2*o + k, -2*n - 3*o = -139. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*l**4 - 767*l**3 - 11052 with respect to l.\nAnswer: -20*l**3 - 2301*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 114\/(-798) - (-58)\/112\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-9))\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -2*r**5\/9 + 3106*r**4\/9 + 87880*r**3\/3 + 1742720*r**2\/9 + 3906752*r\/9 + 967328\/3 = 0.\nAnswer: -74, -3, -2, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be (64\/(-14))\/((-120256)\/1344 - -89). Find g, given that u*g**3 + 96\/5*g - 16\/5 - 28*g**2 = 0.\nAnswer: 1\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**4\/i*i*i)\/i)\/(i*i*((i*i*(i\/(i\/(i\/(i**(6\/13)*i*i))))\/i)\/i)\/i*i))**41*(i**(-2\/13)*i*(i\/(i\/(i**7\/i)*i))\/i)\/(i*i**(1\/4))**27 assuming i is positive.\nAnswer: i**(5877\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -195, -196, -197, -198, -199, -200?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -2*z**2 - 30*z - 14. Give b(-13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 9*b + 7. Calculate h(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 16\/(-6) - 1\/3. Let s be 40\/(-35)*(-14)\/4. Sort t, s, -5, -7 in decreasing order.\nAnswer: s, t, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the first derivative of -5*f**3\/3 - 505*f**2 - 1046. Let d(k) = 0. Calculate k.\nAnswer: -202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwj when three letters picked without replacement from {w: 8, j: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -97?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 903 = 54078*u - 54035*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -508.776 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 339 and 3?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 56378242*d*i**5 - 366*d*i + 561*d - 9*i wrt i.\nAnswer: 1127564840*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 + 5*o - 3. Let x be r(3). Let a be 10\/(-15)*x\/(-2). Let h be (-6)\/10*-1*(-5)\/1. Put -5, h, a, 5 in decreasing order.\nAnswer: a, 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 165155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -5*f + 2*i, -5*f - 2 + 12 = 4*i. Suppose -c = -f*c + 20, 3*d = 2*c - 17. Calculate the common denominator of (2\/d)\/((-112)\/24) and 35\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*g + 6, 2*d + d - 1 = g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -22\/45 and -64\/16087635.\nAnswer: 16087635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-1\/4))**(8\/3)\/(z\/(z**(2\/7)*z))**41 assuming z is positive.\nAnswer: z**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/20131 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*t + 11*t + 30358 = -821*t - 16783 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1283\/3 in -5, -7\/4, 4, 50\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 76.5 + -77. Let g be ((-2)\/(-4))\/(140\/160). What is the nearest to -4 in -1\/3, g, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 0\/10 - (-49)\/(-4) and 31\/91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 14 = -2. Let y be (-168)\/q*(-1)\/2. What are the prime factors of y*(-2 - (-80)\/28)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - -1. Let a = 5 - s. Which is smaller: a or -3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-7)\/(-1*(2 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42 - 14. Let l(u) = 2*u - 31. Let n be l(11). Let w = v + n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -7 (b) -12 (c) -1845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a**3 - a**2 + a**2 + (0*a - a + 0*a)*(-5*a**2 + 2*a**2 + 5*a**2) - 121*a - 114*a**3 - 18*a**3 + 122*a.\nAnswer: -136*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + 1 - 1 + (0 + 1 + 0)*(-1 + d + 1) + d - d + 2*d)*(d - d - d**2)*(5933*d + 8*d**2 - 5933*d).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -438*g - 3567 - 4324 = -445 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t\/(t\/(t\/((t*t*t*(t**(-6)\/t)\/t)\/t))))**(3\/8)\/(t**8)**(-31) assuming t is positive.\nAnswer: t**(2011\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6103639 and 8321?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 - (2\/3)\/(5\/(-15)). Which is the third smallest value? (a) k (b) -2\/13 (c) -755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62074025 to the power of 1\/2, to the nearest integer?\nAnswer: 7879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(3\/4)*s\/(s**(2\/11)*s*s)*(s**(-1\/4))**(-2\/131))\/((s**(2\/17)*s)\/(s*(s**(-2\/11)\/s)\/s)*s**(-1\/6)*s*s**(-4)) assuming s is positive.\nAnswer: s**(-17873\/293964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, i: 2, v: 4, k: 4}. Give prob of sequence jkv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 63 and 3082461.\nAnswer: 64731681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3157 divided by 7?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -483e317 - 1c?\nAnswer: -483e334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -v + 11, -4*v + 2*v + 5*l - 11 = 0. Let a(t) = 4*t**2 - 2*t - 1. Let x be a(v). Solve 0 = -3*d + 2*i + 14, -3*i = 2*d - 3 + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (62\/(-10))\/(1542\/7710)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -20*p + 24*p**2 + 16*p**2 + 20*p**4 - 40*p**2 wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - (-10 + 6)) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of -6*c**2 + 4*c**3 + 7\/4*c**4 - 5*c - 3\/4*c**5 + 13. Let p(x) be the first derivative of f(x). Determine u so that p(u) = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 35*m*r**2 + 20563*m*r + 2860351*m - 1 wrt r?\nAnswer: 70*m*r + 20563*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) + 1)**2 - (sqrt(143)\/(sqrt(44)\/sqrt(4)))**2.\nAnswer: 16*sqrt(13) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 + 19*i - 10. Let f be (1 - -2)*246\/(-18). Let h be f\/(-3) + (-1)\/(-3). Is 15 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*h**2*l**3 - 15*h**2*l - 3*h*l**2 + 6*l**3 + 1 wrt l?\nAnswer: -24*h**2*l - 6*h + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13 - 3. Suppose -2*q = -3*q + z. Solve 0 = 4*r + r - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3634 - 6571 = -5*v. Suppose -v = -i + 1836. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/114 and -13\/4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 4*m - 68 = 0, 4*q - m = -6*m - 72. Let k = -9 - q. Let i = 0.32 - 0.02. Which is the third smallest value? (a) i (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 19520*o**3 + o + 5. Let d be (-1)\/3 + ((-2)\/1)\/(-6). Let t be -5*(d + 1 + 0)\/1. Let x be u(t). Round x to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -46 - -48. Suppose 4*w + x*t = 46, -3*w = -7*w + 5*t + 67. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8915 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (96 - -3)\/(792\/288)*((-27)\/(-4))\/(-3).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4*a = -389. Let c = a + 360. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -335028 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3015703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 19647*n + 19641*n - 2*n**3 + 6 - 4 to the form u*n**2 + p*n**3 + t + d*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 2 - 4 = 0. Let z be 0\/(-2) - l - (-1)\/1. Factor 0*a - 2\/7*a**z + 0 - 2\/7*a**5 + 2\/7*a**4 + 2\/7*a**3.\nAnswer: -2*a**2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -41*i + 42 - 5 - 51*i + 27 wrt i?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -q**4 - q**4 + 4*q**4 + (-q - 4*q + 3*q)*(-4*q**3 + q**3 + q**3) - 6 + 6*q**4 + 6 + (71*q**2 - 71*q**2 + 68*q**3)*(0*q - 5*q + 3*q).\nAnswer: -124*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/(-28)*(-8)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 101 - p + 26 + 16*p**2.\nAnswer: 16*p**2 - p - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2810 - -2809. Let j be (-4)\/10 + 52\/(-70). Is i bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/1160 and 41\/31055.\nAnswer: 7204760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*1\/10 + -26 + (-1564)\/(-60).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 4*i**3 - 2*i**2 + 3*i + 5. Let o(z) = -z**3 + z**2 - 1. Give b(f) + 5*o(f).\nAnswer: -f**3 + 3*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11282 - -22559\/2. Which is the third biggest value? (a) -1 (b) -1\/3 (c) -14.3 (d) k (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1436)\/3949*220\/(-24)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*a**2*d**2*w - 10*a**2*d*k**2 - 3*a**2*d*w + a*d*w - 2*a*k**2*w - 2*d**2*k**2 wrt d?\nAnswer: -26*a**2*w - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose d**5 - 109*d**4 + 2802*d**3 + 9184*d**2 + 6272*d = 0. What is d?\nAnswer: -2, -1, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2793980*x + 1396993*x + 1396987*x + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 22, 53, 106, 187, 302, 457?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 2*s + 0*s + 10 = -0*s, 10 = 2*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 153206*f**2*t**5 - f**2 - 2*t**6 - 33*t**2 - 16*t + 56 wrt t.\nAnswer: 9192360*f**2*t**2 - 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 233 is divided by 10\/(-80)*4*-26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - 4. Let d = -2.02 - -0.02. Let z = d - -2. Sort 1, f, z in decreasing order.\nAnswer: 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1715040, 1715166, 1715384, 1715700, 1716120?\n\"Answer: o**3 + 40*o**2 - o + 1715000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 17 (base 9) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and 0.61.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/3))**(-3)*q\/((q*q\/q**(-4))\/q)*(q*q**(-1)*q)\/q*((q**(2\/17)\/q*q)**(-44))**41 assuming q is positive.\nAnswer: q**(-3642\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, e: 15}. Give prob of picking 4 s.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.07, -147, 0.0675, -0.05?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 12:04 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 45211, 43719, 42227?\nAnswer: 40735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -189, 2, -1, -5 in decreasing order.\nAnswer: 2, 0, -1, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of -g**3\/2 - 9*g**2\/4 + 6*g + 5. Factor n(k).\nAnswer: -3*(k - 1)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 5 - 290. Let u = k + 853\/9. Which is the nearest to 2\/27? (a) u (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.087 (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 289 + -288. Solve 0*o + 3*o - d = 2*x, 0 = x - 5*o + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 52*r + 4200. Let y(z) = -42*z - 4198. Calculate 4*f(s) + 5*y(s).\nAnswer: -2*s - 4190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 4.948892 nanoseconds?\nAnswer: 0.000000004948892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeqqeeqqeeeeeeeeqee. What is prob of sequence qe?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2708*f*x**3 - 887471*f - 47140*x**4 + x**2 + 233 wrt x.\nAnswer: -16248*f - 1131360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 - 3. Let o(n) = n**2 - n + 1. Let v(z) = z**2 - 6*z + 3. Let d(m) = -2*o(m) + v(m). Determine d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 1033 - 3*l + 0*l - l - 2*l - 1029. Let b(t) be the second derivative of 5*t**3\/6 - 3*t**2\/2 - 5*t - 3. What is -5*b(c) - 4*o(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 248 = 4*n, -3*k = 4*n - 135080 + 134891 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 27*b + 12 + 58*b.\nAnswer: 85*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 2 + 6 + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 351*p**2 + 6*p - 351*p**2 - 8*p**3 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -653 + 2693 = -15*d - 70*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -184 + 360. Let d = s + -154. Solve -d = -3*q - 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03 - 1809.13.\nAnswer: -1809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 490\/49*((-14)\/(-42))\/((-2)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let s = -1243 - -1248. Let l be 316\/52*2 - 4\/26. Which is the fourth smallest value? (a) -0.1 (b) s (c) 0.1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the third derivative of -2*f**7\/35 - 47*f**4\/8 + 755*f**3\/2 - 18*f**2 + 139*f. What is the first derivative of t(y) wrt y?\nAnswer: -48*y**3 - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 197.\nAnswer: 3\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -236*c + 7080 = -10620 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 92746680 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 PM and 10:55 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u - 4*u - 32*u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18633268?\nAnswer: 2, 1543, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 532, 1145, 1836, 2605, 3452, 4377, 5380?\nAnswer: 6461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 7:52 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3*(-2)\/(-315)*(-600)\/200\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + 3*j - 12. Let s(r) = -6*r + r**2 - 4*r + 0*r**2 - 4 + 3*r. Let n be s(8). Is n at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15990 is divided by 149.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 6, s: 3, m: 1, d: 2}. Give prob of picking 1 j and 1 s.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.08543 + -0.08542972615. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 3*t**2 - 2*t. Let z(a) = 8*a**2 + 38*a. Determine -5*f(w) + z(w).\nAnswer: -7*w**2 + 48*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 56, -11, 5, 1 in increasing order.\nAnswer: -11, 1, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f**2 - 18*f - 212. Let j be u(-6). Suppose -93 = -4*l + 71. Solve 4*z - 2*m - 12 = 0, 7*z + j*m - l = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1364\/7 - 195. What is the biggest value in s, -55, -1\/5, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-64)\/(-768))\/(5\/(-20))*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**3 - 2*u**2 - u + 10. What is v(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 916558771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -3\/2, -0.02, 0.13.\nAnswer: -7, -3\/2, -0.02, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 2:47 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 PM and 9:46 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18*w**5 + 138757*w**4 - 3*w**2 + 116*w - 11596 wrt w?\nAnswer: -1080*w**2 + 3330168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4903 + 4903 + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 28*z - 32*z + 1200. Let o be (6\/(-4))\/(-3) + 94\/4. What is the highest common divisor of z and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express n**2 + 2*n**2 - n**2 + 54*n**2 + 36 - 36 + (-3 + 0 + 2)*(-3*n - 2*n**2 + 3*n) - 4*n**2 + n**2 + 0*n**2 as d*n + z + o*n**2 and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37, -182, -425, -766, -1205, -1742?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 10:35 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 - m - 2. Let x(i) = 7*i**2 + i. Determine f(k) - x(k).\nAnswer: -k**3 - 7*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 99299, 99382, 99525, 99734, 100015?\nAnswer: 100374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2276911 to the power of 1\/2, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - 519 + 19. What is the remainder when i is divided by (-16)\/(3\/15*(-25)\/10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 17*h - 22*h - 5*c, 2*h + 4*c - 14 = 0. Calculate the remainder when 34 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.9399957 + -0.94. What is g rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5*(-10)\/125)\/(2\/180)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 6*n + 13 = 9, -6*u + 5*n = 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 483079913?\nAnswer: 31, 3889, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**3 - 13*d**2 + d + 5. Let w be c(0). Solve -w*q + 5*r = -35, -5*q - 2*r = -5*r - 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/4 - 2198895*y\/2 + 4835139221025\/4.\nAnswer: (y - 2198895)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u*u**(-18)*u)\/u*u)\/(u*u**(-10))*u**10\/((u\/u**16)\/u) assuming u is positive.\nAnswer: u**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + -1022?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 5*h**2 - 3*h - 7. Let g(j) = -4*j**2 + 4*j + 6. Let v(c) = -3*f(c) - 4*g(c). Let z be v(8). Solve -z*u = l + 12, -3*u + 5*l = -2 - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/9 - (-6234)\/(-90). Suppose 3*n + 137 = -2*a, -2*a + 5*n = 68 + 77. Let c = a - b. What is the closest to 0 in c, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from oomqiyooomhymyo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 14448, 115591, 390132, 924771, 1806208, 3121143, 4956276, 7398307?\n\"Answer: 14450*d**3 - d**2 - 4*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = d + 3*d. Suppose -d*c = -6*c. Solve c = 5*y + 5*b - 10, 3*y - 3*b - 16 = -b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from owwsowowqoowwow?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 1733 - 17.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-1 + -4 - (-7176)\/1443) + 9\/(-144)*0\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.15 - 0.15. Let d = 328\/5 - 66. What is the smallest value in -2, n, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (4 + 2) - (8 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 134, 188, 242, 296, 350, 404?\n\"Answer: 54*v + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27 - (9 + 29 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*o + 4*z - 28 = 78*o, -3*o = 5*z - 27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 46, 32, 4, -44, -118, -224?\n\"Answer: -s**3 - s**2 - 4*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 - 9*p**2 + 8*p + 3. Let t be (3\/3)\/(1\/8). Let g be b(t). Is g\/(-12) - 50\/(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 839695284.\nAnswer: 2, 3, 23324869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i*i\/(i*i*i*i**(7\/2)*i)*i*i)\/i**9)\/(i\/(i*i\/i**(-4\/7))*(i\/(i\/i**(1\/3)))\/i) assuming i is positive.\nAnswer: i**(-347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1531561 - 643742. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6409 - 13892. Let l = s + 30185\/4. Let a = -64 + l. Sort a, 1, 1\/7 in descending order.\nAnswer: 1, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hwxhhbfwwkwhw. Give prob of picking 1 f and 1 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -40 or -37?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -234, -444, -816, -1356, -2070?\n\"Answer: -y**3 - 75*y**2 + 22*y - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -84, -148, -254, -402, -592, -824, -1098?\n\"Answer: -21*o**2 - o - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + o + 1 = -3*x, -10 = -5*x - 4*o. What is the units digit of (119 - (8 - 4)) + x\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -2*c - 3*c - 4, -3 = p. Let h be 17787\/(-18) - c\/(-2). Let i = h + 978. What is the common denominator of -16 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1*(sqrt(13) - sqrt(13)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ututotuttuttttto. What is prob of picking 2 o and 1 u?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -666546, -666540, -666534, -666528, -666522?\nAnswer: -666516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 4 + (32\/16 - (-295)\/(-24)) and -151\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.369743 litres?\nAnswer: 369.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3 and 1553005?\nAnswer: 1553002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 426211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 4, v: 6}. What is prob of picking 3 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) -1\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1367139373 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 41\/2 of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 19*o**2 - 4*o. Let v be a(-3). Let k = 872701\/9 + -97150. Let l = v + k. What is the nearest to 0.2 in -2\/11, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 102 + d?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -4*a - 2*a**2 + 4*a. Let c(u) be the second derivative of -u**4\/6 + 2*u. Give b(c(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 AM and 1:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0*3\/15 + (2 - (-13 + 15)). Put q, -8, 299 in descending order.\nAnswer: 299, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-57 - -58) + 4 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5334 + 0.2.\nAnswer: -5333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -48.43 - -112.43. Is r bigger than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 14385983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/33 - 10\/66. Let h = -0.012 + 343.012. Let l = -339 + h. What is the smallest value in 0.3, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 11*s. Let m(y) = 27*y. Give w(m(j)).\nAnswer: 297*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 9822126 - -0.9\nAnswer: 9822126.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Do 104857013 and 104857009 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 9, d: 11}. What is prob of sequence dd?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 12*g - 357. Calculate the highest common divisor of g and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3315 (base 10) in base 13?\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 180698 is divided by 196?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 3*l**3 + l**3 - l**3 - l**2. Let t = 1 - 2. Give p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (288\/1296)\/(-18*15\/(-3645)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2 = -1. Suppose m - 11 = -5*p, 0*p + 4*p - 8 = -m. Is (1 + x)\/(m\/(-166)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - -1) + (-9 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*u = -64*u + 34428. What are the prime factors of u?\nAnswer: 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 3*u + 16 = 0, -4 = -5*p - 2*u - 2*u. Does 17 divide 80\/p*(0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 122292085.2 + 4?\nAnswer: 122292089.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*w + 4 = -26*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 128 = -4*h, 6*g - 136 - 95 = 3*h for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 4 = 2*s. Is (5\/(-15))\/(s\/762) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*z = -51*z + 24. Solve -3*i - 27 = z*p, -3*p + i + 6 = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of x**3\/3 + x + 2. Let d(s) = -2*s**2 + s**2 - 3*s**2. What is d(m(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/9814112 and 2\/1031597.\nAnswer: 363122144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54012.\nAnswer: 2, 3, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/259 and -33\/259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from fyfflfflfyli.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is c in -c**4\/3 - 80*c**3\/3 - 77*c**2\/3 + 158*c\/3 = 0?\nAnswer: -79, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**3 - 4*d**2 + 4. Let o be f(4). What is the nearest to -0.1 in o, -0.07, -0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 + a + 1. Let w(x) = -30*x**2 - 2*x - 2. What is 2*q(u) + w(u)?\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -5*m**3 - m**3 - 1 + 4*m**3 + 3*m**3 + 2*m + 5*m**2. Let t be y(-4). Suppose -2*b + 72 = t*b. Solve a - 5*a = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 4 = -2*d. Let a(c) = -c + 3. Let n be a(d). Suppose 0 = n*o - 0*o - 1270. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2926665 rounded to 4 dps?\nAnswer: -0.2927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 963 and 0.5.\nAnswer: 481.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 + 11*w**2 + 14*w - 23. Calculate x(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2032 - -2033. Which is the nearest to -115? (a) i (b) -1 (c) 1\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 12, d: 5, e: 2}. What is prob of sequence ss?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -107 = -6*b - 143 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -10*p**3 + 74*p**2 - 70*p - 4. Give x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/3, 207, -0.3, -0.9, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3962517 - 5996134. Let y = -2033617.09999992 - b. Let f = 0.1 + y. What is f rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 16954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 divided by 143.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -91, -85, -75, -61?\n\"Answer: 2*w**2 - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 18762\/48143 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 63 + -63 + -1 + 0 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 7 = 102 + 37. Solve -d*j + 85 = -179 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i = -i + t - 19, 3*i - 5*t = 17. Suppose -2*o + 5 = 1. Differentiate -o*p**4 + 2*p**4 + 6 + 4*p**i - 10 wrt p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -220 = -10*y + 5*y. Suppose -2*s + y = -4*m, 2*s - 1 = 7. Let u = m - -20. Calculate the remainder when 43 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3404 + 3417. Which is the nearest to -0.2? (a) 1\/3 (b) -1\/16 (c) 0.1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13725 + -13676. Calculate the remainder when 287 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 107*g + 37. Let j be c(1). Suppose 4*h - 13*h + j = 0. Let f be 3\/(2 + (-1 - 0)). Solve -f*u = 4*a + h + 1, -19 = u + 4*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128957 is divided by 12893?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121 is divided by ((-168)\/30)\/((-12)\/90)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from llllllilielliel?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-12)\/(-24)*(0 - 2). Which is the nearest to -0.1? (a) n (b) 0.07 (c) -4 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8*i*k*r - 7*i*r + 2*i - 154*k*r + k wrt i.\nAnswer: 8*k*r - 7*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:30 PM and 6:30 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 + 197 = 163*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10 - 2*x**4 + 2*x**4 - x**4 + 12 + 2*x**3 - 2*x to the form h*x**4 + o*x**2 + k*x**3 + m*x + q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of u**6\/120 + u**5\/20 - u**3\/6 + u**2. Let d be a(-2). Let b = -0.013 - 0.087. What is the smallest value in d, b, 0.05?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**2 - n + 1. Suppose 5*d = 3 + 12. Let o(f) be the second derivative of 0 - 1\/12*f**4 + 2*f - f**2 + 1\/6*f**3. Give d*r(v) + o(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/3, 0.2, 2, -16, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 310 + a158?\nAnswer: a468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 810766?\nAnswer: 2, 11, 137, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -2654 at least as big as 6\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12.6 + 31.89. Let i = -28.08 + a. What is i rounded to 1 decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1144389 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 5.3. Let f = -442 + 440. Let v be 2\/7 + 8\/21. What is the third smallest value in f, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 + 7 - 47) + -739 + 722.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(68) + -1 + 5)*-1)**2.\nAnswer: 24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -923*h**3 - 12*h**2 - 2*h - 13. Let t be k(11). Round t to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*v - v - 10*v + (-3 - 2 + 0)*(-5 + 0*v - v + 4).\nAnswer: -11*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -7*k**2 - 29*k - 4. Let q be p(-4). Solve 7*c + 14 - 21 = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, j: 3, i: 2, s: 4}. What is prob of sequence ei?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -2634*p + 12. Let r be z(-2). Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1727789 is divided by 9873.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes before 1:57 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1*3\/18*12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, t: 2, o: 8, f: 1, n: 1, z: 1}. Give prob of picking 1 o, 1 t, 1 f, and 1 z.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 20bd - -24a6?\nAnswer: 4585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 180433.354 rounded to the nearest 100?\nAnswer: 180400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 898956.4 nanometers?\nAnswer: 0.08989564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l**2 - 8*l + 1. Let q(v) = 3*v**2 - 9*v + 1. Calculate 5*f(i) - 4*q(i).\nAnswer: -2*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-14 + 8 + 78 + (-3 + 1 + 1)*(3 + 8 + 5))*(-1 + 1 - b + (4 - 3 - 3)*(2*b + 1 - 1) - 5*b + 0*b + 3*b) to the form w + q*b and give q.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -15150676*n**2. Let o(u) = 2*u**2. What is i(o(z))?\nAnswer: -60602704*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ysj when three letters picked without replacement from ydsjdddduuauujs?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve n**5 + 4439*n**4 + 17742*n**3 + 8866*n**2 - 17743*n - 13305 = 0 for n.\nAnswer: -4435, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7.534 + 0.233. Let s = -0.033 - m. What is s rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*s - 14*s - 64*s**2 + 13*s + 8*s**2.\nAnswer: -56*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1029\/66885 - 172\/(-1495).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**2. Let g(w) = -19240*w. What is g(c(b))?\nAnswer: -38480*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 36*t + 1 + 84*t**3 - 23*t**2 - 25*t**2 + 49*t**2 to the form n*t**3 + j*t + d + h*t**2 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -31*r - 4. Let h = -591 - -593. Let f(b) = 166 + h*b**2 - 166. Determine k(f(d)).\nAnswer: -62*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -767962, -767950, -767926, -767884, -767818, -767722, -767590?\nAnswer: -767416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -453 by -453.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 + -7.81. Let y = -0.39 + v. What is the closest to -2\/3 in y, 2\/3, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of ((-68)\/7 - (-5 + 3))*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/i**(-37\/5)*i)\/i*i)**(2\/13))**(2\/117) assuming i is positive.\nAnswer: i**(188\/7605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (1 - -173) + (-71 - -59) and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 105 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 14976, 14970, 14966, 14964, 14964, 14966?\n\"Answer: s**2 - 9*s + 14984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of -m**5\/15 - 11*m**4\/6 - 12*m**3 + m**2 - 28. Factor y(i).\nAnswer: -4*(i + 2)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 391 - 390. Sort 3, -14, 4, g in increasing order.\nAnswer: -14, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 34, 89, 1, 0.2, -5 in decreasing order.\nAnswer: 89, 34, 1, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from {z: 1, n: 2, b: 6, k: 3, g: 2, e: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1*27\/(-42)*(-3)\/(270\/(-105))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (90\/36)\/((-1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -2*k**2 + k + 1. Let v(n) = -15*n**2 + 43*n - 5099. Let d(y) = -3*b(y) - v(y). What is the first derivative of d(g) wrt g?\nAnswer: 42*g - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/171324 and -109\/108.\nAnswer: 513972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 76\/190*(-5)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor v**5 + 10*v**4 + 32*v**3 + 38*v**2 + 15*v.\nAnswer: v*(v + 1)**2*(v + 3)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(3\/14)*p\/p**(-14))\/((p**(3\/5)*p)\/p*p)**(-33\/2) assuming p is positive.\nAnswer: p**(2953\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y - 2. Let g(o) = 0*o - o - 5 + 15. Let i be g(7). Let v be x(i). Solve -a - 9 = -3*a + 5*j, 0 = j + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 358061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 30700\/(-21490)*14\/(-22)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(432)*-3 - (-1 + sqrt(432) + -2 - sqrt(432)) - (sqrt(432) + 6*(sqrt(432) + 1 + sqrt(432) + sqrt(432)))*-5)**2 + -3.\nAnswer: 79992*sqrt(3) + 4407918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + 3*p**2 + 3*p + 2. Let m be q(-2). Let f(j) be the first derivative of 1\/2*j**2 + m*j - 2. Let o(n) = -2*n. Calculate o(f(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 1 + 3 + (1 + sqrt(1575) + 5 - (sqrt(1575) - -3*(sqrt(1575) - (sqrt(1575) + -1)))**2) + -1.\nAnswer: -1576 - 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) 0.5 (d) -82105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 + 2*w + 33. Let f = -31 - -46. Let y = 15 - f. List the prime factors of o(y).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95*g + 21*g = 693796. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 44070 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3298, -11426, -24972, -43936, -68318, -98118?\nAnswer: -133336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 546 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/9)\/((-82)\/6). Let m = y + -88\/123. Let u = 370 + -373. What is the closest to 1 in u, -2\/13, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 144 - -133. Let a = 274 - k. What is the closest to 0.03 in 5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110123022 (base 4) to base 6.\nAnswer: 11224534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -11*s - 22. Let p be v(-18). Let u(j) = -3*j**3 - 2*j**2 - 4*j - 2. Let n be u(-2). What is the highest common divisor of p and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3668191511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25575 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kfx when three letters picked without replacement from ftfffxxtk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*n - 28. Does 8 divide n*((-1)\/(-1) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -2*y**3 + 3*y**2 - 5*y - 2. Calculate the remainder when p(-3) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/((-10)\/(-35) + (-22)\/28). Suppose -i - j*t + 23 = 0, 2*i + 2*i = -t + 47. Suppose 5*c + 9 - 54 = 0. What is the least common multiple of c and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + 0 - (23 - 45))*6\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of x**4\/40 - 23*x**3\/15 + 529*x**2\/20 - 563. Find i, given that a(i) = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**4 - p**2 - 2*p - 1. Let d(g) = -95*g**4 - 6*g**2 - 12*g - 513. Let n(k) = d(k) - 6*w(k). Differentiate n(l) wrt l.\nAnswer: -356*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1196 divide 127623964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {j: 7, s: 2, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -a**4 - 3*a**2 - a**2 + 4*a**2 - 5*a wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6872586411 rounded to the nearest 1000000?\nAnswer: 6873000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1896547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1 and 73524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.24 + 0.15. Let u = -0.09 - h. Let q be (-3)\/4 - (-1)\/(-4). Is u != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.8 - -1. Let x = 0.339 - 112.839. Let s = -113 - x. Which is the closest to 2? (a) j (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -23*o + 25. Let k(a) = -11*a + 12. Let q(s) = 5*k(s) - 2*p(s). Let t(w) = 1. Let x(g) = -q(g) + 3*t(g). What are the prime factors of x(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -4*c - 8. Let x(b) = -5*b - 9. Let j(q) = 6*p(q) - 5*x(q). Let o(t) = 4*t - 11. Give -22*j(u) + 6*o(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -523 = 4*p - 555. Solve 2*k = -3*i - 6 + p, -5 = -5*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v - 2*v + 4*v)*(-4 + 2*v + 4)*(-2*v**3 + 0*v**3 + 3*v**3).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(1\/3))**(-6\/37)\/(b\/(b**(2\/3)\/b)*b\/(b*(b*b\/b**(2\/7))\/b)))\/(b**(-1\/2)*b*b*b**0*b**(1\/4)*b**(2\/3)) assuming b is positive.\nAnswer: b**(-3201\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.8, 2748, 116?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 6 = 2, -2*q - 12 = 4*s. Sort -1, -3, s in descending order.\nAnswer: -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 920.31 to the nearest integer.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105195 is divided by 17502.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + 4*x - 40. Let h(c) = c**2 - 5*c - 13. Let i be h(7). Calculate the least common multiple of x and -2 - i - (3 + -6 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {g: 1, e: 1, s: 2, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*m - 19905 + 19860 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 26\/(-10) + 2\/(-5). Let w be -4*-1*(-1 - u). Suppose 3*z - w = 4. Solve 5*j + 17 = 2*f + 2*f, 4*f = z*j + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 12*z + 335. What is b(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of x**5\/30 - 7*x**2\/2 + 35. Let i(h) be the second derivative of d(h). Calculate i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 153 and 2720.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 27.8 + -1.8. Let w = l - 26.1. Which is smaller: -3\/2 or w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2686.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11294*r**2 - 30924*r**2 - 43530*r**2 + 11723*r**2.\nAnswer: -74025*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -387660 divided by 1065\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -510*f + 421*f = 213*f + 12382 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a*f**5 - 247*a*f**3 + 6*a*f**2 - 312*a*f - 5*f**5 wrt f.\nAnswer: 120*a*f**2 - 1482*a - 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 187 + -143. Let w(u) = -4*u**3 + 2*u**2 - 2*u + 3. Let p be w(2). Let z = p + 155. What is the remainder when z is divided by a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 2, 172, 926 in descending order.\nAnswer: 926, 172, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**3 + 4*f**2 + f - 1 + 7 - 7. Let t = -14 + 10. Determine j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x + 2 + 6 - 7*x + 8*x**2 - x**3. Is 19 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3275*y - 84762 - 20038 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.81302 - 0.812980299. Round p to seven dps.\nAnswer: 0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32716218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 316061.\nAnswer: 113, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 563296.\nAnswer: 2, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 3*x**2 - 2. Let j(w) be the first derivative of w**2\/2 - 2. Let s(z) = -j(z) - o(z). Factor s(k).\nAnswer: -(k + 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 450 = 19*u - 24*u. Let w = 94 + u. Suppose 3*l + 3*i = 87, 3*l + w*i - 49 = 40. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/(9\/(-4)) - -16. Suppose f*v = v + 44. Suppose -4*l + n + 209 = 0, 45 = 5*l + v*n - 211. Calculate the least common multiple of 14 and l.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -21.69, 0.7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.34 - -0.06. Let i = -4.1 + 4. Which is the closest to i? (a) -1 (b) n (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20, -43, -74, -119, -184, -275?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -24*l - 24. Let q(s) = 3*s + 3. Let b(t) = 33*q(t) + 4*u(t). What are the prime factors of b(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -13*d + 419. Let a(u) = 3*u + 2. Give 4*a(m) + q(m).\nAnswer: -m + 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 45 - 42. Suppose 4*d = -5*u + 26 - w, 4*u = -20. Put d, -3, 1 in descending order.\nAnswer: d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14939, -18785, -25195, -34169?\nAnswer: -45707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -112*d. Let m(t) be the third derivative of -t**5\/40 - 21*t**3\/2 - 37*t**2. Let c(f) be the first derivative of m(f). Calculate c(r(h)).\nAnswer: 336*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 58680319 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-12))\/(12*21\/(-504)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -16856503 or -16856502?\nAnswer: -16856503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35) + (sqrt(35) - 4*sqrt(105)\/sqrt(3)) - 2*sqrt(315))\/(sqrt(28)\/(sqrt(256)*-1))*-4.\nAnswer: -256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1.2, -3024093, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21 - -12 - -5) + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 14641 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4585\/3 or -0.08?\nAnswer: 4585\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/1)\/((-1)\/59). Let k = l + -29. Let y = 0 + 16. Calculate the remainder when k is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/11))**(1\/2) assuming b is positive.\nAnswer: b**(1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -1645*q - 553. Is t(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.92 + -3.42. What is the biggest value in 10, 19, q?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -9*l**2 + 4*l - 9. Let n(q) = q**2 - 2*q + 1. Let a(c) = -6*n(c) - r(c). Let w(h) = -2*h**2 + h. Let k be w(-1). What are the prime factors of a(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/t**(-1\/2)))**(2\/11) assuming t is positive.\nAnswer: t**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1713573 to the power of 1\/2, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 3*k**3 - 2*k**2 - 2*k - 4. What is the tens digit of b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5 - (-3 + 3 - -5). Suppose 5*z - 3114 - 11501 = d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*g + 5*g = 48. Calculate the smallest common multiple of g and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20 + -18. Let x be (4\/(-6))\/((-39)\/(-117)). Put x, d, -4 in decreasing order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 4*i = 700, 5*z + i = 72 + 823. What is the greatest common divisor of 90 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 39 and 2857322.\nAnswer: 8571966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = m - 16. Let g(h) = -7*h - 18. Let p be g(-4). Suppose -3*j = -2*f + m, -p = -4*f - 4*j + 18. Solve -2 = 4*y - f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2932.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5339138 to the nearest integer?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**5\/15 + 20*y**2. Let d(g) = 2*g**2. Calculate u(d(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 114223631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p + p + 10 + 7 + 3*p. Let b be f(-7). Sort -3, b, 4 in ascending order.\nAnswer: b, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 6*m**2 - 2088*m - 23688. What is w(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 456882 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 95267.\nAnswer: 95267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 14876*a - 14917*a = 1066 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 4 + (1*sqrt(1008) - sqrt(1008)) + sqrt(1008) - 3*(-4 + 1 + sqrt(1008)))**2.\nAnswer: -432*sqrt(7) + 4113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 198\/176*(-880)\/(-11)*-2*1\/5\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72587*g**2 - 72584*g**2 - 72582*g**2 + 217767*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 4*l - 26. Let n(h) = 14*h**2 - 1. What is the remainder when n(1) is divided by ((-28)\/6)\/((-4)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -q - 3, -3*q = 4*o - 0*o - 19. Let u = o + -4. Let a(m) = 2*m + u*m - 3*m. Let z(n) = n. Give z(a(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*y + 1561 = -1799. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) 29 (c) 2\/3 (d) -36 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1575 - -2218. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 114, 117, 122, 129, 138, 149?\n\"Answer: b**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 49242?\nAnswer: -2\/24621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-5)*(-17640)\/1323\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1892026826 to the nearest integer?\nAnswer: 43497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - i**2 - 39 - 55 - i**2 + 0*i**2 - 2*i**2 + (2*i**2 - 2*i**2 - 3*i**2)*(0 - 1 + 4) as h + g*i**2 + d*i and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0\/(-18))\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 352 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 prob of sequence lzp when three letters picked without replacement from {p: 4, j: 2, l: 1, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -69, -141, -225, -303, -357, -369, -321, -195?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, -6, 37, 2 in descending order.\nAnswer: 37, 31, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h*h*h\/(h*h**(2\/7))*h*h**(-21) assuming h is positive.\nAnswer: h**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.35 * 227.192.\nAnswer: 79.5172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.80109 and 138?\nAnswer: 138.80109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -5*-5*2\/(2\/(-1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/((10\/(-4))\/5). Let y(r) = -10*r**3 + 3*r + 1. Let b be y(i). Suppose 4*n + 23 = b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -3*f + 112. Give c(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*d**2 - 112*d**3 + 235*d**3 + 185*d**3 + 917*d**3.\nAnswer: 1225*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from keekkekkkkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qxffz. Give prob of sequence fq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -3*p**3 - 3*p**2 + 5*p - 7. Let k(s) = 5*s**3 + 5*s**2 - 8*s + 11. Determine -5*k(x) - 8*n(x).\nAnswer: -x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/7*n**3 + 6\/7 - 15\/7*n + 12\/7*n**2 = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 50 and 7110?\nAnswer: 35550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 3 + m**3 + m**3 - 2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 619*k**3 - 6*k - 299. Let h(g) = 1857*g**3 - 16*g - 898. Let t(r) = 8*f(r) - 3*h(r). What is the derivative of t(c) wrt c?\nAnswer: -1857*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6539, -6645, -6859, -7217, -7755, -8509, -9515, -10809?\nAnswer: -12427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 0. Suppose 3*r = 7*r - 16. Suppose -y - d + 17 = -5*d, 4*y + r*d = -32. Is y at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + 291*c = -2*i - 292*c + 579*c - 53, -23*i + 3*c + 120 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rirriirirr. What is prob of sequence riii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/7 and -43\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16.66 + 1160.66. Let d = -1144.1022 + g. What is d rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1 + -1 + sqrt(1872).\nAnswer: -7 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -173*f**3 - f**2 - 3*f. Let j be z(-1). Solve 7*l - j = 42*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 22*o**2 + 33*o + 776. Let k be w(-22). Solve 4*a = k*a + 92 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wfwbsfsmfsrbsmr. Give prob of picking 1 b and 1 w.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.04406 + 0.04406. Let x = 0.3 - 3.3. What is the second smallest value in a, x, -1, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.11 in 4, -3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i, -4*h = -i - i - 28. Suppose h*k - 48 = k. Let x be 52\/k - 3\/2. Solve j + 2 = x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 728 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (218\/8)\/(13 - 15) + (-57)\/152?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -46*f**2 + 124*f**2 + 1085 - 56*f**2 - 49*f**2 - 5*f + 22*f wrt f?\nAnswer: -54*f + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*l + 4*d + 4, -2*l - d + 1 + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/11184 and -83\/169169184.\nAnswer: 169169184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -29, 5 in decreasing order.\nAnswer: 5, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 171 + -100. Suppose 4*g = -p + 14, 0*p + 4*p + g - o = 0. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 5 = -2*a, 12 = -3*a - 6*u + 3*u. Suppose 0*n - 4*n - 3*b = -238, -4*n - 5*b = -242. Is (n\/(-4))\/a*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + -1 + 6 - 0 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 233*v - 1890. Calculate f(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87*t + 141*t - 119*t + 65*t - 301*t**2.\nAnswer: -301*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10530 = 11*g - 20*g. What are the prime factors of g?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-2)*1\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 313974 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 13, -847, -4\/5, 3\/7?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -1039*k - 6267 = 8279 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.026289l to millilitres.\nAnswer: 1026.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*p + 1011 = 283 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**(1\/6)*l\/(((l*l**(-6))\/l)\/l)*l*l\/(l\/(l*l**5)*l)*l*l*l\/l**(3\/2) assuming l is positive.\nAnswer: l**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 405 = -0*d - 15*d. Let l be ((-6)\/4 - -1)*(d - 1). Let k be (1 - (-1 - -1)) + 1. What is the highest common factor of k and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(187) - -2*sqrt(187)*5 - sqrt(187)) + -2*sqrt(187)*-2)\/((sqrt(891) - (sqrt(891)*-4 - sqrt(891)))*-4).\nAnswer: -7*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.4301825149 + -4.\nAnswer: -0.5698174851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -91 - -103. What is the second derivative of y - 91*d**4 - 2*d**2 - 2*d - d - 22 + 9 wrt d?\nAnswer: -1092*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 8:33 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 12213186, 12213185, 12213184, 12213183, 12213182, 12213181?\n\"Answer: -w + 12213187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (m - 2*m + 1 + 1)*(3*m + 8*m - 5*m + 3*m - 4*m + 0*m - 5 - 17*m + 44*m - 12*m - 3*m + 0*m + m + (-6 + 4 + 0)*(2 - 2 + 2*m) - 2*m - 3 + 3).\nAnswer: -12*m**2 + 29*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 74969 (base 12) to base 5\nAnswer: 14402231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4680110 is divided by 4679890?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161 = -11*z - 51. Let g be (68\/(-5))\/((-4)\/z). Let b(c) = 5*c**2 + 3*c + 3. Let j be b(-2). Calculate the highest common divisor of g and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mg when two letters picked without replacement from lmjljg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o - 30 = -2*s, -4*s + 2*o + 0*o + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 119708?\nAnswer: 2, 29927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 + 2)*(-4870 + 4870 + 663*v)*(3 - 6 + 8)*(2 - 5 + 2)*(2*v + v - v) as f + y*v + s*v**2 and give s.\nAnswer: -13260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -5*w - 27. What is the tens digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in twenty-five halves of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 - 42 - (5 - 35 - -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.013 + 0.0811. Round m to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*u**2 + 4382906*u - 24113001.\nAnswer: 4*u + 4382906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -685, -1420, -2155?\nAnswer: -2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (0 + 1 - (20 - 23))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 774 a factor of 180708378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 + 6888\/(-3056)*(-20)\/30. Is 2 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 164 (base 8) in base 2?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 454 + -450. What is the third derivative of -u**2 + 111*u**d - 141*u**4 - 219*u**4 + 121 wrt u?\nAnswer: -5976*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 2 = -5*i, -4*i + 922*m = -923*m + 1840*m - 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 146*b - 73*b - 69*b - 17. Let i be g(5). Solve 0*r = r + i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12002000 + 12?\nAnswer: 12002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1539) + sqrt(1539) + sqrt(19)*-1*4)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that c**4\/3 - 188*c**3\/3 - 958*c**2\/3 - 1348*c\/3 - 193 = 0.\nAnswer: -3, -1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*m**3*w - m**3 - m**2*w + 93512*m**2 - 3383*m*w - 2*m - 3*w wrt w.\nAnswer: -2*m**3 - m**2 - 3383*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of i**4\/4 + 16*i**3\/3 - i**2\/2 - 12*i + 23. Let j be s(-16). Solve -2 = 4*n + v, 0*v - 4*v - 8 = j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -143*c**2 - 10*c - 9 + 26 - 14 + 9*c to l + q*c + j*c**2 and give j.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -x + 11, -x - 2*q + 4 = 5. Suppose 27*u - 26*u = x. Calculate the least common multiple of u and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of m**6\/360 - m**5\/180 - m**4\/72 - m**3\/2 - m**2. Let u(x) be the first derivative of l(x). Find g such that u(g) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, 64, 3.\nAnswer: 3, 39, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -188049, -188048, -188047, -188046?\nAnswer: -188045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 4\/592433?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -2\/13, -1.3, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 361709 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 628149098?\nAnswer: 2, 101, 3109649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -585, -818, -1203, -1740?\n\"Answer: -76*w**2 - 5*w - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -273 - -272.8. Let p = 1.30087 - 1.1009. Let g = u + p. Round g to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-28) + 25\/(-175).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from olllolo. What is prob of sequence ol?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 - 7*n**3 + 15*n**3 + 12 - 10*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z**5 + 5*z - 5*z + (-62*z - 117*z + 128*z)*(0*z**4 + 0*z**4 + 2*z**4) - z**3 + 2*z**5 + z**3.\nAnswer: -98*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1932741*z**3 + 1087798 with respect to z.\nAnswer: -5798223*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.11 - -2.7. Round a to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/(-15))\/((-9)\/5). Sort z, -3, 1.\nAnswer: -3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25200308461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 906547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fx when two letters picked without replacement from {x: 2, t: 4, f: 10, y: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -5*c**3 - 44*c**2 - 105*c + 52. Let j(p) = -p**3 - 9*p**2 - 26*p + 12. What is 9*j(i) - 2*u(i)?\nAnswer: i**3 + 7*i**2 - 24*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.17 and -0.43929.\nAnswer: -1.60929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ihzizzaiih. What is prob of sequence iiz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/287496 and 59\/198.\nAnswer: 287496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -10. Which is the closest to 2\/7? (a) 0 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -257 times 0.1?\nAnswer: -25.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - i = -2*i + 37, 2*w - 53 = 5*i. What is the smallest common multiple of 8 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 8*j - 1)*(-2*j + 2*j**2 + 2*j).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*v - 17*v - 4*j = -12, -j + 3 = -3*v. Let o(c) be the first derivative of 22 + v*c**2 + 0*c - 2\/3*c**3. Let i(w) = -12*w. Give o(i(b)).\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-424*b - 224*b**3 + 424*b - 399*b**3)*(-2*b**2 + b**2 + 2*b**2).\nAnswer: -623*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 4*q - 543910, 0 = -232*q + 237*q + 2*o - 679889. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n**3 + 20136*n**2 - 60387*n + 40254 = 0.\nAnswer: 1, 2, 6709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -j**3*p + j**3 - 12157*j**2*p - 26*j**2 + 5*j*p - 27*j - 14*p + 4961 wrt j?\nAnswer: -6*j*p + 6*j - 24314*p - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/r**(-2\/15)*r*r*r*r*r**17*r*r assuming r is positive.\nAnswer: r**(362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fkkffofhkfkfo. What is prob of picking 1 h, 1 f, and 1 k?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -8321763 smaller than -8321769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -971 + 10732*b + 479 + 490.\nAnswer: 10732*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 26 + -11. Let x be 23\/7 - 4\/14. Calculate the greatest common divisor of x and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -418281*g**2. Let r(u) = 2*u + 112. What is r(c(a))?\nAnswer: -836562*a**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1642012685?\nAnswer: 5, 751, 437287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from xcjcrtjrrztrcrc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 43470 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-5)*u*u\/(u\/(((u*u*u\/(u**(1\/7)*u))\/u)\/u)))**(-2)*(((u\/(u**(-1\/3)*u*u))\/u)**(12\/5))**21 assuming u is positive.\nAnswer: u**(-530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 118392884 + 3*m - 59196441 - 59196443.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-20260)\/(-4060) - 58\/(-5887)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101101001 + 110000?\nAnswer: -100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -60\/19? (a) -2\/7 (b) -10 (c) -0.2 (d) 3 (e) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2008, -2005, -1996, -1981, -1960, -1933?\n\"Answer: 3*r**2 - 6*r - 2005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 266 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -4, -31, -74, -133, -208, -299?\n\"Answer: -8*u**2 - 3*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the second derivative of l**5\/10 - l**4\/2 - 3*l**2 + 5*l. Let z(u) = -4*u**3 + 13*u**2 + 13. What is -13*b(q) - 6*z(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 + 4a9a034?\nAnswer: 4a9a02a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 256 = -10*s + 2*s. Calculate the remainder when (s\/(-20))\/(2\/55) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (9\/6)\/(-1)*198. Let p = j - -300. Solve -1 = 4*y + 2*v - 25, v - 17 = -p*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8484 and 40572.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cmjh when four letters picked without replacement from jhhjjchmjjh?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 154 + -152. Put q, -1, -0.4 in ascending order.\nAnswer: -1, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -110591953.88668 and 0.1.\nAnswer: -110591953.78668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 256 + -251. Which is the closest to -1? (a) 3 (b) -21\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the first derivative of -2*x**6\/3 + 4*x**5 - 9*x**4 + 28*x**3\/3 - 4*x**2 + 89. Factor m(g).\nAnswer: -4*g*(g - 2)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -2*p**2 + 19*p + 9. Let c(v) = v**2 - 9*v - 4. Let g be (0 - 5)\/((-20)\/24)*1. Calculate g*f(s) + 13*c(s).\nAnswer: s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m**3 + 1013*m - 1013*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2849 + -2831. Suppose -4054 = -5*w - 64. What is the least common multiple of w and a?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b = -97 - 50. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19 + -24. Let v = -17 + 23. Let g = v + n. What is the third biggest value in g, 0.3, 2, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 86751.27mg to kilograms.\nAnswer: 0.08675127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 296.823 + -264.18. Let f = p - 0.143. Let k = -33 + f. What is the closest to 2 in -3\/8, -4\/5, k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 6*t**3 + 2*t**2 + 2*t + 1. Let n(g) = g**3 - g**2 + g. Let b(o) = 7*o**3 - 5*o**2 + 7*o + 1. Let z(x) = -b(x) + 6*n(x). What is a(s) + 2*z(s)?\nAnswer: 4*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-14) - (-640)\/14. Let f(i) = -i**2 + 340*i - 27600. Let o be f(134). Calculate the greatest common divisor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 PM and 5:04 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-9)\/2 - (-30)\/(-20). Let b be 0 - u\/4*(-28)\/(-21). Factor -2\/11 - 2\/11*c**b - 4\/11*c.\nAnswer: -2*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2 + 4139988*d + 20700040.\nAnswer: -4*(d - 1035002)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4256836 and 931.\nAnswer: 208584964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 7*f**2 - 26*f - 23. Is d(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 850213476 a multiple of 8703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66*g = 24*g + 58380. Calculate the remainder when g is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -2\/5151, -8.\nAnswer: -8, -0.4, -2\/5151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2623 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is ((-2)\/1)\/((-24)\/361308) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1444549 rounded to 4 decimal places?\nAnswer: 0.1445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/95 in 0, -3\/2, -0.6, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(-4)*(6 - ((-60)\/(-15))\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 23053 - 12851. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 93\/88 and 25\/53392.\nAnswer: 587312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182441515?\nAnswer: 5, 19, 1920437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -116369*v. Let y(b) = b. What is y(d(q))?\nAnswer: -116369*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -23 and -261287\/11467 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (-21 + -2)) + (-1152 - -1158)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -1 - 4*f**2 - 2*f + 6*f**3 - 24*f**3 + 3*f**2. Suppose 0 = -2*s + 2*g - 12, 2*s = 4*s + 2*g - 8. Is y(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**4\/4 - 285*t**3\/2 - 219459*t**2 + 62820282*t.\nAnswer: 3*t*(t - 382)**2*(t + 574)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2. Let d(z) = -617*z. Determine a(d(k)).\nAnswer: -380689*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 4*w + 36, -46*h + 4*w - 12 = -45*h. Let m be ((-6)\/((-48)\/(-548)))\/((-2)\/h). Is 0 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5330328097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 411771.54745 + -8\nAnswer: 411763.54745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*y - 981 = -222. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -285*k + 56*k = 68*k - 15*k - 11562 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1508 - -50961. Let x = k - 17322. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 4299610443 and -0.8.\nAnswer: 4299610442.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -4743 >= -4743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*p + 678 = -144*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 7, v: 10, t: 2, k: 1}. Give prob of picking 2 v.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 635 + -486. Differentiate -63*l + 4*l + l - 18*l - x*l + 96 wrt l.\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 3 = -0*t - 2*l, -4 = 2*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -75459.3 plus 0.0621191702?\nAnswer: -75459.2378808298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 99927 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -1301 (base 5) to base 15.\nAnswer: -d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2583001 - 83*o**2 + 2583001 + 97*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3216, -3226, -3286, -3420, -3652?\n\"Answer: -4*k**3 - k**2 + 21*k - 3232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2470267+9874361\nAnswer: 7404094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2685968 is divided by 113.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -536*y + 8. Let c(n) = n + 6. What is -c(w) + v(w)?\nAnswer: -537*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -9 - (0 + 2 + -9 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -11*j. What is the nearest to 2 in -2, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4293*q**3 - 4058*q**2 - 3*q - 2 wrt q.\nAnswer: 25758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1983817926.\nAnswer: 2, 3, 3181, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 643952, 1287904, 1931856, 2575808, 3219760, 3863712?\nAnswer: 4507664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*y + 5438 + 55*y**3 - 5438 - 39*y - 54*y**3.\nAnswer: y**3 - 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 37006631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2368677431.\nAnswer: 53, 3331, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/9)\/(h*h*h**(-7)))**(-40) assuming h is positive.\nAnswer: h**(-1880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 223435925 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 0.6, 13.6, 1\/57, 1, -1?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 5*d**2 + 8. Suppose 43 = 8*l + 139. Is 13 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 divided by -11225571.\nAnswer: -11\/11225571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 71*o**2 + 95*o - 223. Let c(g) = 19*g**2 + 24*g - 56. Let n(v) = -15*c(v) + 4*u(v). What is n(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in -8.9, 0.3, -5, -2?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Express 5577*v**3 - 2*v**2 + 2*v**2 - 5581*v**3 - v**2 - 2*v as a*v**2 + u*v + h*v**3 + q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 637 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cw when two letters picked without replacement from cwzcccywzczcy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 11.095868 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -1222579322256 - 1.5.\nAnswer: -1222579322257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the second derivative of -5*q**4\/12 - 665*q**3\/6 + 2450*q**2 - 214*q - 1. Suppose d(i) = 0. What is i?\nAnswer: -140, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183406237?\nAnswer: 7, 29, 903479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2155*h**4 - 2*h**3 + 1001*h**2 + 332*h wrt h?\nAnswer: -51720*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-48)\/80)\/((-637)\/(-525) + 8\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 6*f + 31 = 0, -4*b - 2*f = -3 - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -8*d - 11. Let x be m(-2). Let j = 2 - 2.1. What is the closest to j in 0.1, x, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 56377 + -55586.03. Let y = 791 - h. Which is smaller: 5\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (14*t - 41*t + 15*t)*(3 - 6 + 4) + (-3 - 4 + 4)*(5*t - 3*t - 3*t) - 1 + 1 + 2*t - 10*t - 11*t + 13*t in the form j*t + n and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g\/g**0)**(-11))**(-11)*(g**(-1))**17*(g\/g**1)\/g**1 assuming g is positive.\nAnswer: g**345","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 121, 1.13, 2, 4.\nAnswer: 1.13, 2, 4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/504*-4*54\/18 - 1422\/(-8190)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-18)*1)\/((-92)\/(-276)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 9. Suppose o + p = d - 17, 0 = d - 4*o - 16. Calculate the greatest common divisor of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 - 3*m + 2. Let u be i(-3). Let b = u + -17. Suppose -3*w - 19 = -p, 5*p + 12 = b*p - 4*w. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -2. Suppose v = -p - 0*p + 4. Solve 5*a + 5 + 0 = 0, 5*d - p*a = 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2.2 (b) 5 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w + 7. Let j be z(-5). Let b be (-2 - (-7)\/j)*2. Suppose -x + 2*t + 19 = -b*t, 0 = 3*t + 3. What is the remainder when 54 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b - 1. Let s be g(-9). Let i(d) = -3*d + 12. Let l be i(s). What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-100 - -101)*(-39 + (-18)\/6)\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - ((12 - 5) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/(-56))\/(4\/16). Let q = -0.2 - -0.1. Which is the biggest value? (a) q (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 118812.9 - 118812.7100026. Let j = 0.19 - f. Round j to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -11, 3, 298 in ascending order.\nAnswer: -11, -1, 3, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.3 - 4.96\nAnswer: -5.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 6:03 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -213, -742, -1773, -3474, -6013, -9558?\nAnswer: -14277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/45*24*(-6)\/(-8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -21*75\/175*2*11*7\/(-42)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 12 = 2*b. Let r(o) = 2*o. Let x(t) = -t. Let k(d) = b*r(d) + 5*x(d). Let q(z) = -6*z + 16*z + 10*z + z. Give k(q(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, l: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is n in -2\/11*n**4 - 24\/11*n**3 + 0*n + 0 + 26\/11*n**2 = 0?\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) + sqrt(128)\/sqrt(4))**2 + (-2 + sqrt(2) + 0)**2.\nAnswer: -4*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20 - -5) + 5 - (17 + -5 + -10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -189420 divided by -19.\nAnswer: 189420\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*g - 24 = 41*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 20 = -5*o. Let f = o - 10. Solve 3*i - 3*q + f*q = 6, i + 3*q + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = 500 + 255. Let i be 4862\/(-55)*(-5)\/2. Let l = i + t. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10343*j + 40 = 10353*j. Let t(d) = -d + 1. Let y(b) = -5*b + 59. Give j*t(r) - y(r).\nAnswer: r - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3343017, -3343002, -3342977, -3342942, -3342897, -3342842, -3342777?\nAnswer: -3342702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1261, 951, 641, 331, 21?\n\"Answer: -310*g + 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0108238 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**3 + 17*z**2 - 26*z - 45. Give k(-17).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.71 * 3.5.\nAnswer: 9.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43630537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*f**3*k**3 + 3*f**3*k + 60613*f**3 - 5*f**2*k**2 + 2816*f*k**2 + 38*f - 4*k**3 wrt f?\nAnswer: -114*k**3 + 18*k + 363678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 g when three letters picked without replacement from rjsgs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 5*l. Let a(b) = 71*b + 43*b - 30*b. Let t(s) = -2*a(s) + 35*n(s). Let d(p) be the third derivative of p**5\/60 + 6*p**2. What is d(t(k))?\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(68)*-4 - (-4 + sqrt(68) + -1 + sqrt(68)))**2*2 + 4.\nAnswer: -96*sqrt(17) + 4908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 17*p**2 + 23*p - 72. Let r(k) = -50*k**2 - 68*k + 216. Let m(o) = 2*r(o) + 7*t(o). Let w be m(3). Calculate the greatest common divisor of 58 and w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {r: 3, k: 1, h: 2, o: 3, v: 5, f: 6}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -1674 = 110*m + 196 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 143954 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -1117*r**2. Let b(j) = 26*j. Calculate p(b(x)).\nAnswer: -755092*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 3\/4*t**3 - 9\/4*t**2 + 0 = 0. Calculate t.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 14*f. What is the tens digit of q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -22 - (-12 + (-30 - -26) + 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n. Let y(r) be the second derivative of -29*r**3\/3 + 16*r. Calculate s(y(h)).\nAnswer: 116*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -20, -5, 104, 355, 796, 1475, 2440?\n\"Answer: 8*h**3 - h**2 - 38*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 3. Let h be (2902 - (-4)\/u)*-20. Round h to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -p - 2*i + 6, 4*p + 5*i = -28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 201029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of -l**5\/60 + l**4\/8 + l**3\/2 - 2*l**2. Let v(d) = -2*d**2 + 4*d + 4. Suppose -15*h - 179 = -224. Give h*v(x) - 4*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l*l\/l**(-1\/2))**(-39)\/(l**(2\/3)*l*l)**(-4\/9))\/(l**(-2\/5)*l**(-5\/6))**45 assuming l is positive.\nAnswer: l**(-2155\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -7*x + x - 2*x + x as h*x + m and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from meyeoyeooeemyey. Give prob of sequence oo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1 * -2.0723805\nAnswer: 2.0723805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 2366185 in decreasing order.\nAnswer: 2366185, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (l**3 - 3*l**3 + 0*l**3)*(29*l + 730 - 730) - 272*l**4 + 150*l**4 - 99*l**4 in the form o + r*l**3 + u*l**4 + n*l**2 + d*l and give u.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/(k\/k**(1\/7))*k*k)**(5\/6))**(-13)*(k**(-6)\/k*((k*k\/k**5)\/k)\/k)\/(k**(2\/7)\/k)**(-3) assuming k is positive.\nAnswer: k**(-1012\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 40819096*q**3 + 36055679?\nAnswer: 122457288*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 - 3*o**2 + 5*o + 2. Let h be n(-4). Let t be ((-15)\/9)\/(h\/6). Solve 4*g - 13 = t*v, -g = -0*g - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + -9. Let a = 49 - 439\/9. Sort 0, a, s in ascending order.\nAnswer: s, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63 bigger than 8.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3432869 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 66 (base 10) to base 4.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 39793, 39950, 40211, 40576, 41045, 41618, 42295?\nAnswer: 43076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 5*s**4 - 179*s**3 - 370*s**2 + 4*s - 4. Let c(w) = -10*w**4 + 359*w**3 + 740*w**2 - 9*w + 9. Let d(z) = 4*c(z) + 9*x(z). Solve d(g) = 0 for g.\nAnswer: -2, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.065 (c) 21 (d) -4 (e) 0 (f) 2\/9 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 122*h + 2184. Let j(l) = 61*l + 1125. Let x(i) = -9*j(i) + 5*u(i). What is x(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(0 + (3*sqrt(130)*2 + sqrt(130) + sqrt(130))\/(sqrt(80)\/sqrt(72)))*-1)**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -162729 divided by 1107.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27412 and 2772?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2\/4602529 - 65489385185\/101255638. Let p = 1041 - 393. Let w = i + p. What is the common denominator of w and -59\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 0.5, -215\/2, 0.125?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00128787 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, -3, -18?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -78, -4, -33, 3, 5 in ascending order.\nAnswer: -78, -33, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6427 or -6429?\nAnswer: -6427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13382 + 13381 - 40194 - 5*p**2 + 13431.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*u + 4*u + u)*(10*u**4 + 22 - 12 + 12).\nAnswer: -20*u**5 - 44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3252832817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1031212 - -10?\nAnswer: 1031222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 4 - 2431\/91 - 4\/14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19296787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -36436687\/731 + 49845. Let j = y - 38132\/10965. What is the common denominator of 55\/9 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 6 (b) -4 (c) -88 (d) -1\/5 (e) -2 (f) -2\/9 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Express -43 + 4*w**3 + 90 - 221*w - 47 in the form h*w**2 + y*w + d*w**3 + n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8\/(-12))\/(2\/(-6)). Suppose -4 = -4*r + z*r. Solve r*y - 4*s = 4, 0 = -4*y - y - s - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that w**2 - 18\/5*w**3 + 144 + 744\/5*w + 1\/5*w**4 = 0.\nAnswer: -5, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 4 - 11 = 0. Let m(k) = -2*k**2 - 5*k + 3. Let o(s) = s**2 + 2*s - 2. Let q(i) = -4*m(i) - 7*o(i). Calculate q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -18890, -37794, -56698?\n\"Answer: -18904*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 17*q - 22*q - 2*q**2 + 6*q**2 + 16 - 11*q.\nAnswer: 4*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1366559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.38 - 0.4. Let p = -1.81 - -0.83. Let r = p + d. Which is the closest to r? (a) 0.4 (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -318 - 9085829\nAnswer: -9086147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -141 + 141. Solve -x + 2*x = t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 3 + 1 + 5 - k to the form n*k + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 71581991 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2765857714.\nAnswer: 2, 1382928857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 410 and 1820715.\nAnswer: 149298630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 3*j + 2*j - 321, -345 = -3*m + 3*j. What is u in 194*u**2 - 12*u - m*u**2 - 110*u**2 = 0?\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1246, 1245, 1244, 1243, 1242?\n\"Answer: -j + 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.0844 - 0.0203. Let q = 0.064483 - x. What is q rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 88\/(-968)*(-187)\/119?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 174650642707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 34056130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 4*w + 35 = 4*j, -2*j + 5*w + 73 = 0. Let q = 47 - j. Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 14. Let l = -14 - 0. Find the common denominator of (-4)\/l*132\/b and -79\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 166 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 34656194.502018 - 34656127. Let i = f - 67.447. Let u = i - 0.055. What is u rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 250*h**5 + 34*h**2.\nAnswer: 15000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -102, -181, -272, -381, -514, -677?\n\"Answer: -t**3 - 72*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -13, -18, -25, -34, -45, -58, -73?\n\"Answer: -x**2 - 2*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5427078, -5427082, -5427086?\nAnswer: -5427090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 4*o + 78422 = 78416, -23 - 29 + 10 = 5*y - 9*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 + 14.6. What is the second smallest value in s, -5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 134*n - 6308. Give d(47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -73\nAnswer: -5\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 11663061.348 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3710 = -32*y + 15870. What is the remainder when y is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4412447 by -86.\nAnswer: -4412447\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 60 - 172. Suppose -4*d - v + l = 3*v, -5*d = -2*v - 117. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22*k + 62*k - 15*k)*(1 + 3 - 5*k - 3) - 3*k**2 - k**2 + 2*k**2.\nAnswer: -127*k**2 + 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6033636509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 264813 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22330 and 147581.\nAnswer: 16233910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4638 + 6137. Calculate the least common multiple of k and 6.\nAnswer: 8994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1460 and 149543785?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1)*d*d)\/d**(2\/5)*d**(6\/11)\/(d\/d**(-2\/5))*(d**1*d**(-8))\/(d\/d**(-1\/8)*d*d**(-6\/11)*d) assuming d is positive.\nAnswer: d**(-4327\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, 3\/4, 37697?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the first derivative of -6 - 5\/12*f**4 + 1\/20*f**5 + 1\/6*f**3 + f**2 + 13*f. Let l(i) be the first derivative of g(i). What is l(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2, -6, -14, -26?\n\"Answer: -2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (208\/48 + -5)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29.109 + 29. Let a = w + 171.109. Let n = -141.3 + a. What is n rounded to 0 decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.08 - 0.92. Let u = -267\/2 + 134. Let j be 1\/1 - (-2)\/6. What is the nearest to u in m, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -26941 or -26171?\nAnswer: -26171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002616 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5\/2, 0, -23.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-10)*105\/42 + 2. Which is the second biggest value? (a) x (b) 0.01 (c) -1\/6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 807 = z - 2*j - 216, -1011 = -z - 2*j. Calculate the remainder when z is divided by 335.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes before 3:16 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -94 + 131. Let p = k + -41. Let r = 0.1 - -1.9. What is the third smallest value in p, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 3)*(28299*o**4 + 27836*o**4 - 53995*o**4) + 3 + 2*o**4 - 3 + (0 + 0 - 2*o)*(3*o**3 + 3*o**3 - 7*o**3).\nAnswer: 4284*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 427940 is divided by 16456.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Sort -15577, 3, 572.\nAnswer: -15577, 3, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 43672426 (base 8) to base 12\nAnswer: 3194906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -935 = -86*r + 10547 + 128. Calculate the least common multiple of 990 and r.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t - 2*t - 5*t)*(-4 - t**4 + 4) - 2*t**5 - 4 + 4 - t**5 - 2*t**5 + 4*t**5 + (t**2 - t**2 + 2*t**3)*(2*t**2 + t**2 - t**2) - 5*t - t**5 + t + 6*t.\nAnswer: 7*t**5 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 222668564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4416, -4359, -4302, -4245?\nAnswer: -4188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 72 - 78. Solve 11*j = 10*j + c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/(n\/n**(-7\/4))*n*n)\/n)\/n**19)**(2\/71) assuming n is positive.\nAnswer: n**(-79\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 668.4126 litres in millilitres?\nAnswer: 668412.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1447321 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 498 - 446. Solve 0 = -2*n - 11*n + o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 94.31241 nanometers in micrometers?\nAnswer: 0.09431241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 - 3 - k**2 - 7)*(-57*k - 9*k - 28*k).\nAnswer: 188*k**3 + 940*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - 4 - (8 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2777, -5, -4.75?\nAnswer: 2777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -1373010890 to the nearest 1000000.\nAnswer: -1373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 3*i - 65, 0*o = -3*i + 5*o + 85. What is the first derivative of i*p**2 - 2 - 21*p**2 + 4 wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 451792 is divided by 26576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 2509 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -110\/290153 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 31 = 4*n + 1, -n + 1 = 0. Let k be 4\/(-18) + (-47)\/d. Suppose -k*f - 80 = -5*t, f - 39 - 5 = -4*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1113\/547, -1\/8, 0?\nAnswer: -1113\/547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from aaaaaftjjatfaa.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*i**4 + 6*i**4 + 1 + 5*i**4 - 5*i + 2*i**2 - 4*i**4 to the form g*i**4 + k + t*i + a*i**2 + p*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1967.000010675 + -1967. What is x rounded to seven decimal places?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1175000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11\/((-22)\/5))\/2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k + 5. Let m(v) = -v - 4. Let b be m(-9). Determine d(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 - -11. Let o(s) = 1 + s - s**2 + 3 + w + 0. Let v be o(3). Solve v = -2*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g + 36 = 12*g. Suppose -4*z = 2*z - g. Suppose 4*s = -2*q - 8 - 6, 2*s + 3*q - 3 = 0. Sort -2, z, s.\nAnswer: s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-40)\/(-2)*(-15919)\/(-19739560)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2*y**2 - 9*y - 11. Let f be g(-5). Suppose -3*s + s = 68. Let p = f - s. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 38*g. Let r(z) = -24*z - 13*z**2 + 36*z + 7 - 19*z. Let i(b) = -2*b**2 - b + 1. Let d(p) = 21*i(p) - 3*r(p). Calculate d(q(n)).\nAnswer: -4332*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) -5\/8 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 - 23*r**2 - 11*r - 83. Let c be f(21). Let x = -704 - c. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(1377) - (sqrt(1377) + 2)) + sqrt(1377) + -5 + sqrt(1377) - sqrt(1377)))**2.\nAnswer: -4536*sqrt(17) + 51336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbmbmbmbmbbbbbm. Give prob of sequence bm.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2465.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 41741741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.3 (c) -42.8471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/9 + (-6500)\/(-90). Let l = s - 71. Let h be 3 - (-2 - l)\/3. Solve -10 = -h*q + 3*k - k, -5*k + 20 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**2 + 12*d - 42. Let a be s(-18). Suppose -358*n = 2*m - 363*n - 109, -3*m + 211 = 2*n. Which is greater: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(500)*-2*-1 + 1*sqrt(500) + -1 + -4 + sqrt(500) + -1)*3)**2 + 5.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3\/3 - 14*p**2\/3 + 32*p\/3 - 8.\nAnswer: 2*(p - 3)*(p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of q**5\/20 + q**4\/3 - 4*q**2 + 31*q - 12. Let j(n) be the first derivative of l(n). Let y be j(-3). Solve 4*u + y = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*n = 29 - 3. Let s(h) = 1 - 5*h**2 - h**3 - 7*h**3 + n*h + 10*h**3. Give s(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 20 = 36*l - 37*l, 0 = 5*l + 3*r - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3\/3 + 42*l**2 - 2392*l\/3 + 4032.\nAnswer: -2*(l - 28)*(l - 27)*(l - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 - (43 - (27 - -11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4383 in -6, -4, -18, 5, -2\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2.3 in -27, -4, -0.5, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 0 (c) -64702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = u - 69, -i - 3*u = -0 + 1. Let r = 22 + i. Let x = r - 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: What is -2.92864 rounded to two decimal places?\nAnswer: -2.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 6*y**2 - 49*y + 9. What is z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17792 - 17792 - 16*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 144, 139, 130, 117?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.978 + 0.022. What is the closest to 0 in -12, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1178*t + 1166*t = -9396. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 5 - 6*v - 4*v + 7 - 80 - 37*v**2. Let o(t) = 36*t**2 + 8*t + 67. Let b(l) = 3*d(l) + 4*o(l). Find the second derivative of b(x) wrt x.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 6*o**3 - 55*o**2 + 8*o + 12. What is q(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 22725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 88*v. Let w(k) = -59*k**2. Calculate w(r(m)).\nAnswer: -456896*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 + -40. Let f = -12 - j. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -105\/22 and (3\/68)\/((-18)\/(-708)).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6452 - 5?\nAnswer: 6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**2. Let f(p) be the second derivative of 55*p**3\/2 - p**2\/2 - 77*p. Calculate f(z(l)).\nAnswer: 165*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3159413 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t**4 + t**4 + 4*t**4)*(t - t + 2*t) + 57*t**5 - 184*t**5 - 200*t**5.\nAnswer: -323*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 2*k - 3*k + 2 to the form r + a*k and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjajsajaj. What is prob of picking 1 s and 2 j?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 35479080 divided by 886977?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 177, 693, 1207, 1719, 2229, 2737, 3243?\n\"Answer: -b**2 + 519*b - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h\/h**(-1\/2)))**(3\/19))**(-15))**(-20\/7) assuming h is positive.\nAnswer: h**(-450\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1479053711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 16 - 6 = 0. Let l(v) = -v**2 + 21. Let c be l(0). Suppose -4*a + 3*w = -1, 7*w = a + 2*w + c. Solve -26 = -f + 2*f - u*h, a*f + 9 = h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (93\/2)\/((10\/((-260)\/(-13)))\/(2\/(-2)))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22200\/555*2\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 2*u**2\/9 + 96849280*u\/9 + 1172472879564800\/9 = 0.\nAnswer: -24212320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2501745443 rounded to five dps?\nAnswer: 0.25017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - 4025062 = -3*c - 4025097, -25*n - 4*c = -64 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2\/7 + 324*w\/7 + 8748\/7.\nAnswer: 3*(w + 54)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 99437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 6\/((-14)\/21*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 - 122*g**2 - 4929*g + 212. What is k(154)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -2) + (3 - 3) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n\/(n*n**(-2\/7)*n*n))**(-3\/14)*(n*(n\/n**5*n)\/n)\/((n\/n**(2\/3))\/n) assuming n is positive.\nAnswer: n**(-641\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 9 + s**3 - 13 + 6*s**2 + 3 + 5*s. Let n be x(-4). Calculate the greatest common factor of 55 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 5229.\nAnswer: 5\/5229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1728 and 2466.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 206 a factor of 9485270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 58609807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, -2592, 19 in ascending order.\nAnswer: -2592, -3, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 41952 = -3*d, -5*d - 3*y + 45935 = -23981. What are the prime factors of d?\nAnswer: 5, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8909998?\nAnswer: 2, 251, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20692.\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 4*b = 15909 + 7819, 3*o + 5*b = 23732. Let f be (-8 + 33)\/(5 + (-39516)\/o). Round f to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9944 and -1?\nAnswer: -9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 17f3 (base 16) in base 7?\nAnswer: 23606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, v: 1, u: 2, s: 1, k: 2}. Give prob of sequence vs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 1556 - 1536. Suppose 2*s - v = -3*d - 4, s = -2*d + 4. Factor -2\/11*y + s - 2\/11*y**2.\nAnswer: -2*y*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -5*l**3 - 2*l**2 - 9*l - 6. What is the hundreds digit of y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -y**2 - 3758*y + 37680 = 0.\nAnswer: -3768, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3 + 4044*x - 1752*x + 3 - 8576*x**2 + 5084*x wrt x.\nAnswer: -17152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z**2 + 0*z**2 - 2 - z**2 - 3*z + z**2 + 3*z + (-4*z - 2*z + 4*z)*(z + z - 4*z) - 2*z**2 + z**2 - z**2.\nAnswer: 4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*v = 12*v + 96. Suppose -4*z - 2*q = -13967 + 5287, -5*q - 10850 = -5*z. Suppose z - 442 = 6*n. Calculate the highest common factor of v and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 0.28 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7190709 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 44135277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2417, -2421, -2425, -2429, -2433?\nAnswer: -2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 48 + 70*a**2 + 158780*a - 158777*a + 24 to o*a**2 + x + r*a and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 12a (base 14) to base 9.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1286255647\/1922393 - -3\/174763. Factor -3072\/11*n**4 - 5250\/11*n - 1250\/11 - 512\/11*n**5 - b*n**3 - 800*n**2.\nAnswer: -2*(n + 1)*(4*n + 5)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 199000184 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 4*s. Let c(v) = 12*v**2. Calculate t(c(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**2 + 2. Let c be 4\/(-2) - (-4 + 2). Let d be a(c). Let j be (0 - 1 - -1)\/d. Which is greater: j or -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 158 divided by 2\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -32 + 12301443?\nAnswer: 12301411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 53 + 0*x**3 - 7*x**3 - 11 + 176*x**4 + 510*x - 28 - 12 wrt x?\nAnswer: 2112*x**2 - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.418 + -4.918. Which is the nearest to 0? (a) 1\/7 (b) p (c) 1\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 + o**2 + 2*o - 1. Let i be t(1). Let g = 3.11 - 0.11. Suppose -5*p - 3*p - 32 = 0. Which is the closest to i? (a) 2\/7 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of 23*o**4\/6 + 99*o**3\/2 + 22*o - 1. Find the second derivative of a(f) wrt f.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101101 - 1010010?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -634*k + 620*k - 56 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.39, 12330, -3\/5, 15\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s + 3*s + 6*s**2 - 6*s - 2. Let v = -336 + 334. Let k be x(v). What is the highest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 3*v + 3*r - 12, 0 = -4*v + 4*r + 20. Suppose 3*i - 35 = -2*h, 3*h + 2*i = -v*h + 104. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1220012222202 (base 3) to base 13.\nAnswer: -293b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 160\/(96\/(-6)) + (-11 - 22\/2)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6043 is divided by 1964?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aki when three letters picked without replacement from bkkicak.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 7:16 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 29 - 28. Let z be -22 - -2 - (-4)\/(4\/m). Is z at most as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*i**3*j - 20*i**2*j - 74*i*j + 40*i wrt i?\nAnswer: 60*i*j - 40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17\/188 + 409\/235. Calculate the common denominator of t and 0 + -1 + 59\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -35 - 36*x - x**2 + 189 + 168 + 82. Let n be r(9). Let u be (0 + -2)\/2*0. What is the third smallest value in u, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 32, 108, 222, 368, 540?\n\"Answer: -r**3 + 25*r**2 + 8*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (2 - 3\/2)\/(8\/(-16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*q - 4*u, -3*q - 19 = -6*q + 5*u. Let n(p) = 0*p + 2*p**3 + 0*p**q - p + p**2 + 3. Is 21 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 - -5. Let p(g) = 5*g. Let z(m) = 85*m. Let s(u) = 35*p(u) - 2*z(u). Let d be s(3). Solve 3*o - 3*w + 3 = d, c*o - w = 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uqq when three letters picked without replacement from qqypyyrrquyqr.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**2\/7 + 79*m\/7 + 3552\/7.\nAnswer: -(m - 111)*(m + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, n: 2, c: 4}. What is prob of sequence nccr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p - 8 + 3*p + 2*p + p. Calculate the lowest common multiple of d(6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.02 - -0.02. Let d = 10 - 6. Suppose 4 = -d*v - 0. Which is the closest to -1? (a) v (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3773\/4 - -929. What is the common denominator of (-2)\/7 - (-1856)\/(-11928)*-6 and b?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the third derivative of z**5\/20 - z**3\/3 - 2*z**2. Let j(p) be the first derivative of t(p). Let y(v) = -5*v. What is 6*j(g) + 7*y(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 + o + 1. Let f be l(2). Suppose -x = 3*x + 8. Let h be ((-6)\/(-255))\/(x\/10). Put f, h, -2 in ascending order.\nAnswer: -2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.01, 2\/19, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 - 5*c**2 - c + 3. Give u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4931, -19040, -42535, -75410, -117659?\n\"Answer: d**3 - 4699*d**2 - 19*d - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 6 - 12 + 7 + 14*c. Let a be p(1). Solve -2*r - 5*q = -a, q = -2*r - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 241736258 to the nearest integer?\nAnswer: 15548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4\/9, 0, 1\/320?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -1.4, -4, -2\/9, 1.08, 9 in decreasing order.\nAnswer: 9, 1.08, -2\/9, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 3, 15, 32, -6, 12 in decreasing order.\nAnswer: 32, 15, 12, 3, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 55 - (-19 - (-189 - -42))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 5*i - 1 - 3*i + 2 + 1. What are the prime factors of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of x**3\/3 + 13*x**2\/2 + 18*x - 7. What is the units digit of t(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -r**4\/4 - r**3\/3 + r**2\/2 - 1. Let b be q(0). Suppose 0 = -b*m - m. Solve -4*o + 3*d - 10 = d, m = -4*o + 4*d - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -2*b**2. Let s(i) = -2*i**2. Let y be 0\/(((-12)\/3)\/(-2)). Suppose y = -3*q - 8 - 10. Let x(a) = q*s(a) + 5*h(a). Let l(g) = 2*g**2. What is x(l(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11257.11 - 16204.08. Let h = 4914 + u. What is h rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 789, -5, 13, -1, 0.4, 4, 16\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 + -34. Let a be r + (-1)\/2*2\/1. What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*k**4 + 2*k + 5*k**5 - 10*k**3 - 21*k**2 + 3*k + 11*k**2 + 5.\nAnswer: 5*(k - 1)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*j - 8*j + 5*j to the form k*j + i and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 11520 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7*(-2)\/20*(6960\/12586)\/(-30)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 1183445557 and -0.5.\nAnswer: 1183445556.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8252 is divided by 907.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*l + 119 = 161*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f, 1 u, and 1 l when four letters picked without replacement from ufffffufuufffluufuuf?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43 + 48 + (-2 - -5) + (0 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 10*o**2 - 27*o + 20. Let f(b) = 8*b**2 - 26*b + 14. Give -4*f(h) + 3*s(h).\nAnswer: -2*h**2 + 23*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in -4, 7, 4, -112, 0.1, -1.1, -1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + -4 + (0 - 0). Let u = 267.8 - 268. What is the nearest to u in -2\/9, t, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from piippiiiiiippiii. Give prob of sequence ppip.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.68373 to two decimal places.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1234848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 6 = -2, -2*t + 4*l = 0. Suppose 0 = 10*v - t*v + 906. Let q = v + 303. What is the highest common divisor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 PM and 5:54 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 + 19. Suppose -s*d + 8 = -1. Suppose q = 5, d*t + 5*q - 143 = 209. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4411826 and 35828.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**2 + 853455*n - 13656560.\nAnswer: 5*(n - 16)*(n + 170707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 59 + -62. Let h = 993 - 993. Let v = -1 - -8. What is the nearest to h in 2, v, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -9873, -9877, -9889, -9915, -9961?\n\"Answer: -v**3 + 2*v**2 - 3*v - 9871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qvqimvqq. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - 375\/60)\/((-1)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 24 - (32 + 10 + -32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -654.2 and 132888?\nAnswer: -86935329.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 - 18*v - 21. Let m be r(-16). Suppose m*q = 9*q. Let x = 243\/1276 + -1\/116. What is the biggest value in x, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 105609 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -494 or 51?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -4562*k - 18058. Calculate l(-4).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 1 - 145*k - 2 - 7 - 155*k. Let p be b(-14). Let m = p - 2633. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2868851217 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 6 = p, 5*p - g - 3 = -5. Let t(x) = -x**2 - 25. Calculate t(p).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2091354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -19 - -5 - (5 + -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 731 = 734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 40 = 25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 1829685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add -1.29 and -28549.\nAnswer: -28550.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1340.8 rounded to the nearest ten?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-60)\/18*(-3)\/2. Suppose -3*h + 2*b = -b - 45, 0 = o*h + 5*b - 35. Let j = h + -4. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1848 and 2908?\nAnswer: 1343496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68498.\nAnswer: 2, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -j + 29, -21 = -2*j + 5*b + 49. Let p(k) = 5*k**2 - 1292*k + 6461. Calculate the remainder when p(254) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 56*g. Let b be 2*3\/(-6)*-1. Let p be r(b). Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2*j - 16. Let x be m(12). Let l = 49429.5 + -49429. What is the second biggest value in x, l, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 184 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1.361937 years?\nAnswer: 16.343244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*c + 2 - 2 + (-3 + 3 - 1)*(2*c + 4*c - 4*c) + 3*c + c - 7*c)*(0*c + c - 2*c + 3).\nAnswer: 11*c**2 - 33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -33. Suppose -5*o + 3*k + d + 2 = 0, -o = -5*k - 23. Solve o*l + 8 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-35)*1*14460\/(-1928)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -325*y + 4 - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s + 12*s - 442. Solve -24*x + s*x = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*k**(-21))*k)\/(k*k**14*k)*(k**(-10))**50)**(-6\/13) assuming k is positive.\nAnswer: k**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1016*c**4 - 2 - c**3 + 60*c - 1018*c**4 + 2037*c**4 to g*c**3 + f*c**2 + u*c**4 + l*c + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 3*z**3 - 3*z + 5. Let g(m) = -4*m**2 + 4*m**2 + 0*m + 2*m**3 - 4*m + 4. Let x(k) = -4*b(k) + 5*g(k). What is the second derivative of x(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**3 + 11*d**2 + 3*d + 36. Suppose 0 = 6*q + 8*q + 154. Let v be z(q). Let x be ((-4)\/(-48)*v)\/(1\/12). Solve 0 = w + x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of 0*a**7 + 0 + 0*a**4 + 1\/20*a**5 + 0*a**3 + 3*a**2 - 1\/336*a**8 + 0*a**6 + 0*a. Find the third derivative of y(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -3*o + 2. Let q(z) = 3*z - 2. Let t(x) = -5*q(x) - 4*r(x). Give t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10)\/(-15)*978\/4. Suppose 0 = -3*o - 5*g - 4 + 95, 5*o - h = 3*g. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -46, 0, -3.\nAnswer: -46, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 101 (base 3) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 + 2)*(y**2 + 4*y**2 + 0*y**2 - y**2 + 0*y**2 + 2*y**2 + (-y - 2*y + 2*y)*(-y + 0*y - y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**2 - 9*w - 8. Let v be p(10). Sort -3, -1, v.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**7*g*g**8)\/(g**(-1\/2)\/g)**(2\/27))**(-1\/23) assuming g is positive.\nAnswer: g**(-145\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:30 PM and 2:42 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r - r + r. Let i(g) be the first derivative of 2*g**2 - 3*g**2 - 44 + 36. Determine t(i(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1170230247 greater than 1170230247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 18270178 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.3 + 0.8. Suppose -2*k + k = m - 174, -m + 156 = -5*k. Let v = m - 2221\/13. Sort v, u, -2 in decreasing order.\nAnswer: u, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2622 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by 340404.\nAnswer: 7\/340404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.95 - -6.45. What is the third smallest value in f, -3, -0.33?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 8*t + 5*t + 14 = 0, -4*q + 3*t = 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 28041.46 + -27964. Round s to one decimal place.\nAnswer: 77.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1350166 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -7*v. Let l(g) be the third derivative of -g**5\/20 + 14*g**2. Give d(l(m)).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 172 divided by -13\nAnswer: -172\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 2*a = -8, 4*m + 2*a + 2*a + 32 = 0. Let i = 29 - m. Suppose -5*v + 19 = -2*p - i, 2*p - 24 = -3*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 996246967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z - 6. What is b(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 6*p = -2*a + 21, -2*p = 6. Solve -5*c + c - a*w = -20, -w = 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**2 + 2*g + 4. Let h be m(-3). Let j(k) = 3*k**2 + 5*k - 7. Let i be j(h). List the prime factors of i\/15 - (-1)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.25129 times 0.00455?\nAnswer: -0.0011433695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.02 + 21041.\nAnswer: 21040.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 9344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -5*v + 15, 5*v = -11*u + 8*u + 5. Let n be (v + 29)\/9 + (-1 - -2069998). What is n rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 1:32 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 6*u**2 + u)*(-5 + 4 + 5).\nAnswer: -24*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 0 + 4 + 2*r + 0. Suppose -3*n + 5*n = 8. Suppose -n*q = -q - 15. Let h(g) = 2*g + 3. Calculate q*j(l) - 6*h(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/11520 and 143\/10368?\nAnswer: 103680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 637345876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 136795650 divided by -2735913\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -100995 + 96643 = 64*w for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ljljlxlljjfjxjfjx. Give prob of picking 2 j and 1 l.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 2 - 1, 5*z = 2*m - 16. Let g be 54\/7 + (-2)\/(-7). Let w be (g\/(-10))\/((-6)\/(-30)). Sort w, 4, z in descending order.\nAnswer: 4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192\/17 > 0.04198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(144) - (sqrt(144) + sqrt(144) + -2*sqrt(144)))*5)\/(-2*1*sqrt(6)))\/(-3*(sqrt(160)\/sqrt(4))\/sqrt(5)*4))**2.\nAnswer: 25\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -i**5\/9 + 58*i**4\/9 - 718*i**3\/9 - 3536*i**2\/9 - 4681*i\/9 - 1922\/9 = 0.\nAnswer: -2, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 59 - 70. Let o = k + 13. What is the least common multiple of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1c (base 15) in base 8?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1595, -2, -12, -0.3, 59 in decreasing order.\nAnswer: 1595, 59, -0.3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 140 and 5201?\nAnswer: 104020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 187*c - 154*c + 619 - 25 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/8 and 101\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-3 + 656\/216)\/(1\/9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 + -2)*-1 - -4. Suppose k = q*x + 2, -22 = -x + 4*x + 4*k. Let z(s) = -s**2 + s + 2. What is z(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102.2938159 rounded to three dps?\nAnswer: 102.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75444*h**3 - 6*h**2 - 75471*h**3 + 6*h**2 + 0*h**2.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*3*(-84)\/63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 4*y + 4*j, -3*y + 29 + 14 = -j. Suppose 0 = y*s - 42*s + 957. Calculate the least common multiple of 3 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -759 - -761. Put 0, 5, u, 1 in decreasing order.\nAnswer: 5, u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:43 PM and 2:20 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -37012 + 79073. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93656840.\nAnswer: 2, 5, 2341421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 + 12*v - 15. Let n be s(9). Suppose b - 2*f - 3*f = -n, 2*f = 5*b - 32. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(2\/5))**49)**(-2\/25) assuming r is positive.\nAnswer: r**(-196\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11618 - -11615. Let y be (18\/(-8))\/((-9)\/(-24)). Do o and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (2 + -5 + 1*sqrt(3) + 1*sqrt(3)*-2*-6)**2.\nAnswer: -78*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1626423496 and 4304?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17424, -34844, -52264, -69684?\nAnswer: -87104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 316 (b) -0.2 (c) -5 (d) -488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, i: 6}. What is prob of sequence iizi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of m**3\/3 - m**2\/2 + 63*m + 1. Calculate the remainder when u(0) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 11:05 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**2 + y + 29. Calculate the remainder when l(0) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of 3*v**4\/32 - 71*v**3\/8 - 3*v**2\/16 + 213*v\/8 - 2313. Suppose b(h) = 0. Calculate h.\nAnswer: -1, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -226 = -3*f - 156*j + 152*j, j = 2*f - 136. What is the remainder when f is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72085 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: Convert -39bc49 (base 15) to base 2.\nAnswer: -1010100101001010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i - 7. Let z(o) = o. Let a be z(-1). Let w be 133\/(-171) + (-4)\/18. Let y(q) = q. Let c(b) = a*m(b) + w*y(b). Give c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 441 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 7 + -8 + 3 + 0. Suppose 19*y - 51 = f*y. Solve -6 = -2*z, 5*d + 8 = y*z + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 29472*a**2*g**2*j - a**2*g*j + 7*a**2*g + 26*a**2*j + 105*a**2 + 14*a*g - 13484*g**3*j - 3*j - 2 wrt g?\nAnswer: 58944*a**2*j - 80904*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2*-9 + 0)*19. Let d = -25301 + 25302. Is k smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*u + 5*o + 12 = 49*u, 5*u + 3 = 4*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35993 is divided by 160.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y + 10*y = 3*z + 1143, -4*y - 3*z = -1496. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 148 + 3*u - 148.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -37 - 37?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 448*f. Let w = -10 - -5. Let n be 2\/(w\/(100\/8)). Let m(j) = 23*j. Let s(r) = n*t(r) + 98*m(r). Let u(h) = 2*h**2. Calculate u(s(i)).\nAnswer: 392*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28 - (2 + 1 + -18)) + -15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -524*r + 14735. What is the least common multiple of w(28) and (-459)\/(-6) + 2\/4?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 226 divide 62166724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -21\/11 (c) -1\/11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 PM and 6:16 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 4*s = 3*j - 2, j - 5*s + 16 = 0. Let h(f) = -4*f**3 - f**2 + f - 3. Let t(z) = -23*z**3 - 6*z**2 + 6*z - 17. What is j*t(b) + 34*h(b)?\nAnswer: 2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3347 - 3376) + (61 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -4*d + d + 5*d + 5 in the form w*d + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1360597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -3*r - 158, -3*y + 3*r + 16 = 145. Suppose 36 = -4*n - 0*n. Let q = n - y. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes before 8:26 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.13 + -63.87. Let b = d + 64.9. Let q = 2 + -2.05. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 611 and 150670?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -0 - 1. Let n be (21\/12)\/(y\/24). Calculate the remainder when 19 is divided by n\/4*4\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-11))\/((-24)\/(-24024)*14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 183791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/2780 and 5\/556?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.4381 - -1.2381. Let j = -0.1 + 0.2. Let s be 1 + (2 - (-58)\/(-18)). What is the fourth biggest value in a, s, 5, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/18 - 20\/(-72)*10. Suppose 0 = v*r - r - 4. Let m(f) = -6*f**r - f**3 + 3*f - 2*f + 1 + 0*f + 6*f. Determine m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.127 - 0.227. Let c = -3 - -5. What is the nearest to o in 0.5, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**4 + o**4 - o**4)*(-2 - 1 + 2) - 8*o + 7*o**4 - 73*o**4 + 9*o.\nAnswer: -65*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*c - 3 + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -35480.41713 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, l: 2, h: 2, o: 1, w: 1}. Give prob of sequence hzz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (24 - (-27 + -9)) + -24?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11408432621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5173, -1.7, 1\/29 in ascending order.\nAnswer: -1.7, 1\/29, 0.5173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - 1) + -1 + -33 + 27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*f + 294*f - 2529 = 127*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -656*z. Let i(o) be the first derivative of -3*o**2 - 1948. Determine c(i(y)).\nAnswer: 3936*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 - 3)*((1 + 2*q - 1)*(3 + 0 - 2) + q + 0 + 0 - 3*q - q + 2*q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*x - 6*x - 24. Suppose 0 = o - 1. Let s be (-9 - -12)*o\/x. Solve s = l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2*h - 1. Let d(c) = -3*c - 2. Determine 2*d(y) - 5*p(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6 + -7 + 3\/2. Let k = -82 + 165\/2. Let a - k*j**2 + 0*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/9, 0.3, 4\/5, -3, 1.\nAnswer: -3, 1\/9, 0.3, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 503693193*l**3 - 2*l**2 - 503693194*l**3 + 2*l**2 + 3*l**2 - 5*l**2 + 2*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r + 3. Let o be 3\/((-6)\/14) + 4. Give z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - 5*h**2 - 5. Suppose -2*f + 5*u = -15, -2 = 2*u + 8. Determine q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + -1 - 48\/(-120). Let h(k) be the first derivative of 0*k**4 - n*k**5 + 0*k + 3 + 0*k**3 - 3\/2*k**2. What is the second derivative of h(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, g: 7}. What is prob of sequence ig?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4069969 to the nearest integer?\nAnswer: 2017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 4*j + 7 = 0, -3*g = -6*g + 4*j + 21. Suppose -2*n + g*n = 30. Suppose 6*q = q - c + 16, -4*q = 2*c - 8. Solve n*s = q*s - 2*r, -s - 8 = -3*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23910117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17.5 - 7. Let u = z - -8.1. What is u rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 23 - 53. Let f = -1 - g. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + 3*r - 8. What is the tens digit of (-57)\/(-4) - (-2)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/9)\/(4\/(-60)). Suppose 4*q - q + 4*f + 10 = 0, 5*f + w = -5*q. Suppose -6*j + j - 21 = -4*x, -3*j = x + 16. Sort x, q, 4 in ascending order.\nAnswer: x, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 182732657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i = 12*i + i - 84. Solve 4*w + i*k = 1 + 19, -w = -4*k + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 385909852 by 130684.\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-5)*p)**(-2\/63)\/(p**(-1)\/p*p)**(5\/6) assuming p is positive.\nAnswer: p**(121\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -178*v - 64724651 = -64702757 for v.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4451 times 0.4?\nAnswer: -1780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be 230\/((21\/18)\/7). Round i to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 + 7*q - 6. Let t(x) = x - 8. Let i be t(8). Let u be (i - -3)\/(6\/10). Let s be v(u). What is the highest common divisor of 44 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -70 - -70.5. Let h = 7 + -9. Which is the nearest to 2? (a) d (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xyxy when four letters picked without replacement from yxxxxxyyxxxx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5980)\/(-506) - 4\/(-22). Suppose -5*v - 1 - 5 = 2*a, 0 = 5*a - v - t. Is a at least 20\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 382 + -376 - (29 + -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tatcgvicttcg. What is prob of picking 1 g, 1 a, and 1 c?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/10 - (-126097)\/20. Let d = r - 6308. Find the common denominator of d and 2\/(-8)*(-594)\/21.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 17*w + 5)*(0*w - w + 0*w).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 15\/2633 (b) -32 (c) 12.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add -0.0414898 and -4.\nAnswer: -4.0414898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/3))**(-2\/11))**(1\/4) assuming t is positive.\nAnswer: t**(1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**0)**(-4)\/((((n\/(n**(-15)\/n))\/n)\/n)\/(n*n**18)) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 - 4*c + 2. Let v be x(4). Let k(u) = u**2 - u. Let j be k(v). Is 44\/j - (1 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 13 - 2. Let j(b) = -b**3 + 5*b**2 + 4*b + 2. What is the lowest common multiple of j(y) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -3022159 and -0.007.\nAnswer: -3022159.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 3*j + 3. Let f(o) = -o**2 - 4*o - 1. Let t be f(-3). Suppose c + 3*i - t*i = 7, -3*c + 2*i = -11. Let b(n) = 7*n + 7. What is c*h(x) - 2*b(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the third derivative of n**7\/420 - n**6\/180 + n**3\/6 - 3*n**2. Let b(o) be the first derivative of g(o). What is the third derivative of b(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2 = -0. Let d(a) = 4*a**2 - 5*a**2 - a**o + 4*a**2. Let q(c) = 5*c**2. Calculate q(d(m)).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of -x**4\/4 - x**3 - x**2 - 2*x + 3. What are the prime factors of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 3, f: 8, r: 3, b: 3}. What is prob of picking 1 f and 2 r?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -2*g - 2. Suppose 2*c = c + g. Let o = 1 + c. Solve -o*f - m = 1, 2*m + 7 = -f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1017, -969, -889, -777, -633?\n\"Answer: 16*y**2 - 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + i + 16 = -3*i, -5*i + 10 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-5)*2\/(-20)*5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2462 - -3726. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8225925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + 7. Let n(y) = y**2 - 2*y**2 + t*y**2. Let k(m) = -2*m - 8. Let s(w) = 3*w + 14. Let z(c) = 7*k(c) + 4*s(c). What is z(n(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (156 - 2 + 31)*(-4*s + 3*s - 2*s)*(-3 + 4 - 2*s - 4) to the form b + o*s + t*s**2 and give o.\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1822 is divided by 279.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7608 - 7608. Which is the nearest to w? (a) -0.4 (b) -15 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 8 = -x, 10 + 36 = 5*x - 2*p. Solve 4*r - 2*r = 2*j - 2, -2*j - 2*r = x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 7 = -4. Suppose -16*y = -19*y + 87. Let o = y + v. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -38629, -77253, -115863, -154453, -193017?\n\"Answer: f**3 + f**2 - 38634*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {s: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 126073?\nAnswer: 139, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4300 + 134253?\nAnswer: 126653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1269 (b) -2 (c) -130 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011100 + 1111110?\nAnswer: 11011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 126 in 4, -4\/13, 6, -14.8, -1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -612*f**3 - 7*f**2 - f + 6. Does 13 divide g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h - 4*s + 518, -5*h + 0*s - 3*s + 1330 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of -i**4\/24 + 4*i**3\/3 - 2*i**2. Suppose 0 = l + m - 9, 2*l = 2*m - m + 6. What are the prime factors of z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + o - 12 = 0. Is (28\/o)\/(10\/465) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -176 + 17 - (-10 - 5 - 11)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3 - 4206452*l**2 + 8412907*l - 4206454.\nAnswer: -(l - 1)**2*(l + 4206454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7, -14, -23, -34, -47?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 220122211 + -11212202121?\nAnswer: -10222002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2*u - 3*u + 7*u)*(u - 4*u + 5*u) - 3 - 2*u**2 + 3)*(-46*u - 2 - 100 + 52*u) to the form a + t*u**3 + z*u + x*u**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 274463140 to the nearest 1000000.\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/8 + -1)*(-8)\/3. Suppose -43 = -k - 2*l, o*k + 16*l = 15*l + 101. Calculate the highest common divisor of k and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22100 (base 3) in base 12?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k. Let i be (24 - 3) + (-4 - -4). Let u = -19 + i. Let d(q) = 0 - 3*q**u + 5*q**2 + 0. What is z(d(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -83.5 - -83. What is the closest to 1\/5 in -4, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-4312)\/490)\/(2\/(-230)) is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kfzu when four letters picked without replacement from qukkqquuqqqfqzuqqqq?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 803 is divided by 781\/(-66) + 11 - (-573)\/18.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 244*j - 1. What are the prime factors of i(2)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 4*o - 6892, -3374 = -3*q - 4*o + 766. Does 86 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 64 + -33. Let i = 28 - j. Let u be ((-2)\/18)\/(i\/(-9)). Which is the closest to u? (a) 5 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**3 - 54*x + 15*x + 5*x**3.\nAnswer: 2*x**3 - 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1048*i - 1318 - 447 - 2807 - 3812 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 119*o**5 + 1776*o**4 + 25*o**3 - 369519093*o**2 wrt o.\nAnswer: 7140*o**2 + 42624*o + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 10*v**2 + 11*v + 11. Let b be r(-9). Let h(n) = -n - 7. What is h(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -12.14 - 12404345.9763\nAnswer: -12404358.1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11147280*m**3 + 3*m**2 + 179963670*m wrt m.\nAnswer: -66883680*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -133, 5, 53, -3, -45, -8 in decreasing order.\nAnswer: 53, 5, -3, -8, -45, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 24 = 2*h, 3*i + 2*h - 15 = 3*h. Suppose -i*s - 8 - 40 = 0. What is the remainder when 47 is divided by (-318)\/(-27) + s\/(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the third derivative of 0 + 89*u**2 + 0*u + 1\/3*u**3 - 1\/24*u**4 - 1\/60*u**5. What is q(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1111 (base 5) to base 8.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-253)\/((-833382)\/(-488))*2*-18.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -13*v. Let u(w) be the second derivative of -w**3\/2 - 38*w. Give u(n(c)).\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 46 + -28. Let s = 64 + -58. What is the highest common factor of a and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -16.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 + 34 = -5*t. Let l = 13 + t. Differentiate l + 4*q**3 - q + q with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2299 - 12*h**2 + 2290 - 26*h**2 - 4590 - 153*h. Calculate r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -10101000111001100 (base 2) to base 16\nAnswer: -151cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**3*v**(6\/23))\/((v*v*v*(v*v**(-11))\/v*v)\/v)**49)**(13\/5) assuming v is positive.\nAnswer: v**(118482\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -41 + 13 + 22 + (-9 - -9 - (1 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1892 and 9\/2*(256\/(-192) + 20\/6).\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - (0 - -6)) + 4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f - 0*f - 24. Suppose -19*j + 4*t = -23*j, -3*j - 5*t = -6. Is j < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g**3\/4 + 4575*g**2\/4 - 51783*g\/2 - 27036 = 0. What is g?\nAnswer: -1, 24, 1502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 14582 times 0.789?\nAnswer: 11505.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 12:59 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -233*b + 144*b + 666521. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 24*g + 43. Let v(p) = 7*p + 13. Let d(c) = -2*i(c) + 7*v(c). What is d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25*q**3*x**2 + 2*q**3*x - 81*q**3 - 20*q**2*x**2 - 3*q**2 + x - 9 wrt q.\nAnswer: 150*x**2 + 12*x - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = 5*z + 4*f + 32, 3*f = -3*z - 21. Suppose 5*r = 3*y + r - 14, -3*r - 19 = 2*y. Is z != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from rzfsaiaz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/(k\/(k\/((k*k**(-15)*k)\/k))))\/k)\/k*k**(7\/2)*(k**2)**(-4\/15))**(-48) assuming k is positive.\nAnswer: k**(-3832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -192 + 192.4. Let r be -5*((-16)\/(-10) + -2). Let f be r*(-1 - -2 - 2). What is the nearest to -1 in -1, f, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8790, -17578, -26366, -35154, -43942, -52730?\nAnswer: -61518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the third derivative of -1651*t**6\/120 + 557*t**5\/30 + 581*t**2. What is the third derivative of c(h) wrt h?\nAnswer: -9906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 548850 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 204077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/((j**(-2\/83)\/j)\/j)*j)\/j*j*j**(-23\/6)*j*(j*j\/j**38)\/j*j**(2\/97)\/j)**(-1\/43) assuming j is positive.\nAnswer: j**(1728805\/2077158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 32 = 5*o, -2*k + 5*o = 10 + 2. Suppose -2*g = -5*p - 176 - 6, -p + k = 0. Let h = g + 47. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g + 11. Let i be y(11). Let c = i - -31. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/5 of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 2*p**5 + 3974*p**4 - 15942*p**3 - 27806*p**2 + 135340*p - 95568 = 0. Calculate p.\nAnswer: -1991, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10.03838 - -0.03838. Is -0.096 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -348490, -1393965, -3136424, -5575867, -8712294?\n\"Answer: -348492*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.08 - 0.28. Let y be (18 - 20)\/(10\/4). Which is the third smallest value? (a) f (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1474854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1 (c) -19 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, x: 1, y: 1, n: 1, h: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 601.651 + -604.6. Let u = r - 0.051. Let h = 1.74 + -1.14. Which is the closest to 0.1? (a) 2\/11 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6485 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 6 = -7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13*(-1890)\/390 + -27.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from lsssnllnsnnsn?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77184 is divided by 25722?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -2*a**2 - 45*a - 91. What is the remainder when 167 is divided by n(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 786*o**3 - 3*o**2 + 8*o - 2. Let p be i(2). Suppose 18*f - f = p. Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*v - 3*v. What is the hundreds digit of (-1 - -173) + v\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -96910 (base 11) to base 8\nAnswer: -423067","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is next in 10315, 84075, 284313, 674269, 1317183, 2276295, 3614845, 5396073?\nAnswer: 7683219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 506862806 a multiple of 3775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*a - 87*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13839*b**5 - 19*b**4*v**2 + 8*b**2*v**2 - 16*b**2*v + 2*b*v**2 + 115 wrt b.\nAnswer: 830340*b**2 - 456*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -65\/277 - -20735\/11634. Find the common denominator of d and 2\/49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + 2*m + 5178, -g - 198*m = -199*m - 1293. What is the lowest common multiple of 432 and g?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 741\/986 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2*z**2 - 8*z - 5. Let a be (-4)\/(-14) - (-114)\/42. Let o be v(a). Calculate the common denominator of (-55)\/25*(o\/(-3) + -3) and 2\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - -6) + (3 - 24) + (9 - (13 - -2))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, 153, 63, 1\/4, 1\/2, 3 in descending order.\nAnswer: 153, 63, 3, 1\/2, 1\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - -7)*(-6 - (-63)\/(-9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2, -231, 2, -1\/9, 267, 2\/23, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -18*j**3 + 3*j**2 - 9*j + 32. Let f(p) = 71*p**3 - 13*p**2 + 40*p - 128. Give 9*a(o) + 2*f(o).\nAnswer: -20*o**3 + o**2 - o + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000591 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 10*i**2 + 22*i - 1. Let q(b) = -21*b**2 - 51*b + 2. What is 3*q(n) + 7*x(n)?\nAnswer: 7*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 911112188*h**4 - 539587385*h**2.\nAnswer: 21866692512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/5)\/i*i*i**10)\/(i**(-7)*i*i**7))**35 assuming i is positive.\nAnswer: i**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 2)\/(-1)*-31. Suppose 4*g - 23 = 4*v - 3*v, 5*g = -v + z. What are the prime factors of g\/10 + 22\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -35*z + 3. Let n(v) = v - 1. Let l(g) = -h(g) - 5*n(g). What is the units digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5969 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**5\/13 - 4*x**4\/13 - 4*x**3\/13 + 8*x**2\/13 + 2*x\/13 - 4\/13 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2886530 (base 9) to base 10\nAnswer: -1592568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - w - 55 = 0, -110 = -364*i + 366*i - w. Let f be (8\/(-6))\/(1\/(-447)). Let n = i + f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46 + 436 = -30*w - 90 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*f - 10*f + 13050. Suppose -4*v + 379 = u - 50, 4*v - u - f = 0. Calculate the highest common divisor of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -17*x**2. Let w(z) = -11*z**2. Calculate w(s(g)).\nAnswer: -3179*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -6440, -6442, -6444, -6446, -6448, -6450?\n\"Answer: -2*t - 6438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 5*v + 6 = 0. Suppose -3*f - 2 = 2*u, v*u + u - 5*f = 18. Solve 0*x - u*x = 3*c - 1, 0 = -2*c - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3*x**3 - 4*x**2 - 7*x - 5. Let w(k) = k**3 - 5*k**2 - 9*k - 5. Calculate -4*w(v) + 5*y(v).\nAnswer: -19*v**3 + v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -260897, -1043630, -2348201, -4174610, -6522857?\nAnswer: -9392942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -230*s**2 + 83*s**2 - 163*s**2.\nAnswer: -310*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-33)*l*l*l**(-17)*l)\/(l**(-9)*l)**(1\/36) assuming l is positive.\nAnswer: l**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*j**3 + 6403*j**2 + 3*j + 4 - 6404*j**2 + 6*j**3 - 4*j + 0*j**4 - j**4 to the form o*j + b*j**4 + y*j**2 + r + i*j**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -13846 divided by 3\nAnswer: -13846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/(825\/(-2275)) + -29)*(-7)\/2?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2295\/219866?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1159\/102 - 366\/17. Calculate the common denominator of 127\/12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 124\/(-93)*(-30)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50.9469 - 51. Round g to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes after 12:59 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*n - 92 = 10*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 125*u**3 + 16*u**2 + 2*u**2 - 127*u**3 to the form l*u**2 + j*u**3 + a + v*u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16 + -13. Let p be (136\/6 - 0) + 1\/i. Let s = p + 31. What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*n**3 + 1 - 16*n**3 + 9*n + 30*n**3 + 2*n**2 - n**4 as k*n**3 + q*n + g + x*n**2 + z*n**4 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 17*z**2 - 180*z - 868. What is u(-5)?\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 5*s + 77 = -8, 27 = -3*x - 3*s. Determine i, given that 0*i + 0 + 1\/11*i**x + 4\/11*i**2 + 4\/11*i**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 11*m**3 + 2*m + 1. Let u be w(-1). Let b be 4\/u + 508\/3. Let n = -60 + b. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2031724061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -185*r + 6*r**2 + 5*r**2 - 15*r**2 - 140*r - 3 + 5 + 43*r**3 wrt r?\nAnswer: 258*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 650*z**3 - 1 + 0 - 710*z**3 to x*z + c*z**2 + o*z**3 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -201 + 195. Let c = 251785\/33 - 22478\/3. Let n = c + -137. What is the smallest value in d, n, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (x - x - 2*x)*((-3*x + 3*x - 3*x**2)*(8*x + 2*x - 2*x) + 0*x**2 + 0*x**2 - 3*x**3) as l*x + f*x**4 + g*x**2 + v + z*x**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 + 99*i.\nAnswer: 3*i*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 402908 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 545 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -483030 and -18822708.\nAnswer: -19305738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 46*b**3 - 4*b**4 - 5*b**3 - 11112 + 771*b**3 + 11112 = 0. What is b?\nAnswer: 0, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -0*o + o - 15, -5*o + 45 = 5*s. What is the remainder when (3 + 1 - 2)*(210 - 194) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 702*p - 64. Let h(s) = 1053*s - 98. Let x(u) = -8*b(u) + 5*h(u). List the prime factors of x(-3).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + 0)\/(-3 + 2). Suppose -2*a - 1 + 3 = v. Solve 0 = t - a - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(51)\/sqrt(3)*2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2522536902.\nAnswer: 2, 3, 827, 169457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -135, -143, -143, -129, -95, -35, 57?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((3\/8)\/(65\/(-24)*-3))\/(2\/(-60))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 56312 and 8224.\nAnswer: 57888736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.25 (b) 1119\/5 (c) -2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**2 - 7*v + 11. Let p be t(7). Let q(d) = -3*d + 5. Let b be q(p). Is 2217\/7 + (-8)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(85*3\/663)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11267 is divided by 845.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8579 and 2645.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2316 - 2007. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - h**2 + 26. Let l be o(0). Suppose -21*s + 3801 = 798. Let a be s\/(4\/(6 + 2)). Calculate the highest common factor of a and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*c - 1944 = 24*c. What is the highest common divisor of 108 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7286, 7280, 7272, 7262?\nAnswer: 7250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 59 + -41. Suppose -3*t = -9*t + z. Suppose -t*i + 8 + 1 = 0. Solve -x = i*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/(-3))\/(((-88)\/492)\/(-11)). Which is smaller: d or -209\/5?\nAnswer: -209\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(-39)*(-3)\/241. Let w = f + -128463\/31330. Find the common denominator of -7\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -85 + 28 + 29 + 28 + 16822*i as m*i + s and give m.\nAnswer: 16822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49285.\nAnswer: 5, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -3062 by -6.\nAnswer: 1531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 440221 is divided by 2842.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 193*f - 182491 = 152*f. What are the prime factors of f?\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 19 = -r - 6*l, -r = -l - 5. Let d be 9\/2*6\/9. Let q(i) = 3*i - 4. Let v be q(d). Solve -2*s - 11 = -a, -r = -a - s - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1178*c**4 + 541*c - 1.\nAnswer: -14136*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3406 - 3317. What is the remainder when 1176 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 11:11 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 17 (base 8) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -123*g**2 - 28 + 9 + 122*g**2.\nAnswer: -g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of 13 + 15\/4*u**4 - 15\/2*u**2 - u**3 + 3*u. Solve s(l) = 0 for l.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -4*t + 2*t - 9 + 4*t - 3*t. Let b be a(-8). Which is smaller: b or 2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690667827 to the power of 1\/2, to the nearest integer?\nAnswer: 26281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify b*b**4*b*b\/b**(-13)*(b\/(b*b*(b**5\/b*b)\/b))\/b**(-7) assuming b is positive.\nAnswer: b**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 190037245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 8 = 5*k, 0*k - 2*k + 4 = 4*c. Let h be -3 - 0 - k - 0. Is 16 a factor of 5*3 - h\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2106)\/360)\/117)\/((-5)\/(100\/(-36))).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-906)\/(-36) + 2\/6)*2 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 548539462 is divided by 968.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-2))\/z)\/(z*z\/((((z**27*z)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 18932 + 7?\nAnswer: 18939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -365, -5, 2, 0, 1 in descending order.\nAnswer: 2, 1, 0, -5, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*j = 4*j - 2*o - 21, -4*o = -3*j - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -4*s + 2, -k - 3*k - 14 = 3*s. Sort -5, -1\/6, 0.4, k in descending order.\nAnswer: 0.4, -1\/6, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*r**3 - 28*r**5 + 24*r**4 + 16*r**2 + 10*r**5 + 6*r**3 + 22*r**5 = 0 for r.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2\/11 + 18676*b\/11 + 43599122\/11.\nAnswer: 2*(b + 4669)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1381 - 294014.\nAnswer: -295395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*p + 26*a - 54 = 22*a, -73 = -2*p - 5*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 + 3. Let s = -2 - c. What is the nearest to s in 1, 3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -26*g**2 + 8*g**2 + 17*g**2 - 3*g in the form y*g + o + n*g**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -15777 = 48*q - 16785 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (320\/(-200))\/((-4)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/368790 and -157\/178572?\nAnswer: 16964340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - -9 - (-4 + 10) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 11 = -3*j - t, 5 = -5*j + t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 506.35 times -0.068\nAnswer: -34.4318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3\/5 - 758*o**2\/5 + 1522*o\/5 - 762\/5.\nAnswer: -2*(o - 1)**2*(o + 381)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1001 and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 5*q - 7 - 3 = 0, 0 = 5*q - 15. Does 2\/5 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 206697321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*g = 4*g + 61152. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of -31*v**6\/2 - 4*v**3\/3 - 897*v**2\/2 + 3940. What is the second derivative of y(o) wrt o?\nAnswer: -1860*o**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 38223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -181.4 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, -1, 4, -47.\nAnswer: -47, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1073*g = -2236*g + 95961 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*k + 78 - 24 - 28 - 15 - 11.\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 15, 8, -2632 in decreasing order.\nAnswer: 15, 8, -1, -2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -1 - 28*x + 44*x - 24*x. Let u(h) = h**3 - 3*h**2 - 7*h. Let o be u(5). Suppose 0 = -f - 5*g - 24, -7*f + 2*f + o = -2*g. Calculate j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16.970003347 + -16.97. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/8 in 1\/170, 2\/9, -3, -2\/5, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -4654?\nAnswer: -3\/4654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29, -118, -261, -458, -709, -1014, -1373?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4\/7 (b) -1138 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16341 + -32681\/2. Let g(n) be the second derivative of 0 + 0*n**2 + 9*n - n**3 - 3\/40*n**5 - l*n**4. Factor g(h).\nAnswer: -3*h*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*b - 55 = 25*b - 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-32)\/6*(-105)\/490)\/(2\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 11*k**2 + 13*k - 25. Let i(q) = -16*q**2 - 13*q + 21. What is -3*i(d) - 4*m(d)?\nAnswer: 4*d**2 - 13*d + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*x + 4*v, 7*v = 5*x + 4*v - 24. Let s be x + 74*(-91)\/(-8). Let w = 851 - s. Find the common denominator of w and 105\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 738*i**6 - 125*i**2 + 7*i?\nAnswer: 88560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - -8. Let k be 6 + ((-2)\/1)\/u. Suppose 3*f + k = o - 0, -4*o - 5*f + 54 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -206*q + 124*q - 3864 = 240*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -5\/52?\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j**2 + 23*j - 50. Let b be q(7). Calculate the greatest common factor of 520 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2555 - 0.6555. Let f = -2 + 2. What is the closest to f in r, 4\/3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:32 AM and 5:09 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 348*r + 391*r - 257*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 1045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 739416.9m to millimeters.\nAnswer: 739416900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/43948 and 99\/21974?\nAnswer: 43948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h = 4*x + 17, -2*h - x - 29583960 = -29583953 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11313412.\nAnswer: 2, 11, 257123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -3*j - 3*v + 4*v, -2*v = -3*j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 205284 divided by -13?\nAnswer: -205284\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -763559550 divided by -6.\nAnswer: 127259925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 917177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*a - 2. Let z be 87\/27 - 2\/a. Suppose z*p - 9 = 6. Solve p*s - 6 = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -d + 9. List the prime factors of 3\/((-39)\/(-986)) + d\/52.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*a - 2*u, -4*a - 5*u = -2*a + 10. Solve a*s = -2*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/6)\/((-4)\/(-504)). Let t(p) = -13*p - 15*p + f*p - 10*p. Let w(s) be the second derivative of -s**3 + 3*s. What is w(t(u))?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*r + 3*g - 37, 0*g = -4*r + 4*g + 24. Suppose 472*s = 441*s + 5022. What is the remainder when s is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + r + 3527 = 0, 2*r + 2008 - 602 = -2*p. Let u = p - -1197. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*k = 3*k + 576. What is the smallest common multiple of 33 and k?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 - 10216*a - 10219. What is s(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 47902 * 0.02\nAnswer: 958.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8815\/4 - -1648561\/748. Let y = a + 19027\/1122. Let j = 7671 - 46153\/6. What is the common denominator of y and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**3*p)\/p*p**(-1\/9)*p*(p**(1\/3))**9*((p**(-4\/3)\/p)\/((p**4*p)\/p))**(1\/5) assuming p is positive.\nAnswer: p**(253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -43 in 0, -489\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 33637213 divided by 331\nAnswer: 101623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-2812)\/(-259)*-2 - (-13 - 7)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 4*j - 6*p + 16, -4*j - 18 = -5*p. Let x be (-7)\/3 + j\/3. Let a(h) = -h**2 + 18*h - 45. Let v be a(15). Sort v, -2, x.\nAnswer: x, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5876 divided by 52?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 27*u**2 + 2. Let o(p) = -4*p + 56. Let l be o(14). Let w(y) = 279*y + 0 + l - 278*y. What is q(w(r))?\nAnswer: 27*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10052.9 - -10052.9060627. Round v to five decimal places.\nAnswer: 0.00606","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 123661*h**3 - 9*h**2 + 520862.\nAnswer: 370983*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -4*n**3 + 4484*n**2 - 571388*n - 427162628 = 0. What is n?\nAnswer: -233, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 - 4*j**2 + 3*j + 4. Let z(m) = -158*m**2 - 11*m + 12. Let c be z(1). Let b = -162 - c. Determine x(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 72160, 72154, 72148?\n\"Answer: -6*x + 72166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 1 + 69 = 0. Suppose 0 = k + r + f, -5*k - 2*r - 70 = -4*r. Let m be (-2)\/1 + k\/(-6). What is the third biggest value in -1\/7, 1, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1431405875.\nAnswer: 5, 107, 107021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 + -2)*(4 - 596). List the prime factors of q\/(-24)*-1*3.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/12 + (-1328)\/192)*-4. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2397841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -284 + -3. Let o be 202\/24*68\/2. Let h = o + f. What is the common denominator of h and -43\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -8*q + 2. Let p(w) be the third derivative of w**7\/2520 + 47*w**4\/24 + 33*w**2. Let c(h) be the second derivative of p(h). Determine k(c(b)).\nAnswer: -8*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/((-5)\/4) + 9 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-12)\/36)\/(4\/(-22248)). Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 124*36\/432*-3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(4\/9)*j*j*j*((j**(-35)*j)\/j)\/j*j*j*j**(-20\/7)*j**(-29\/5)*j)**(-4\/29) assuming j is positive.\nAnswer: j**(46888\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54499?\nAnswer: 54499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -3*i**2 + 5*i**2 - i**2 + (-2*i + 3 - 3)*(3 - 3 - 2*i) - 9*i**2 - 11 + 11 - 2*i**2 + 4*i**2 - 3*i**2 in the form l + f*i**2 + h*i and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003736944 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the second derivative of 0*w**5 - 1\/3*w**4 - 1\/30*w**6 + 0 + 0*w**3 + 7*w + 0*w**2. Find the third derivative of t(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 40\/12*2\/10\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m. Let v be a(-2). Suppose 0*g = 4*g - 2*h - 26, 18 = 2*g - 2*h. Suppose 3*c = -4*i + 48, -g*i + 49 = 2*c + 17. Solve v*u + 2*u + c = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 366*a**4 - 52*a**2*r**2 - 78*a*r**2 + 202*a - 14*r**2 wrt a.\nAnswer: 4392*a**2 - 104*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x = -2*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-340)\/8415 + 4\/(-22). What is the nearest to x in -9, 3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53258734 rounded to the nearest one thousand?\nAnswer: -53259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -924318 - -2534318. 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: Let o(q) = 3*q**2 + 369 + 3*q**2 - 361 - 31*q - 3*q**2. Does 18 divide o(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*z - 3*r - 3, -3*r - 3 = -382*z + 380*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -2*x**2 - 67*x + 6131. Determine p(41).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (113 - (-47 - -44)) + -153.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2036 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vnnnvv. Give prob of picking 1 n and 1 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * 5.41.\nAnswer: 32.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27020?\nAnswer: 2, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2489 and 458893?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxfxggggxf. What is prob of sequence ffg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 22 - 3 - 2)*(-8*m - 14*m + 52*m).\nAnswer: -1020*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2*j - 12 + 4 = 0, -j + 4 = 2*c. Suppose 18*x - 3147 = 13*x + 3*k, -4*x + 2*k + 2518 = c. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n + m - 69, -5*n + 2*m = -0*m - 115. Suppose 94 = -2*l + 278. What is the highest common factor of n and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, 3, -2585, -6, 2\/13, 0.4 in decreasing order.\nAnswer: 3, 0.4, 2\/13, -2\/7, -6, -2585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7488028?\nAnswer: 2, 1872007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f**4 + 7348*f**3 - 12945102*f**2 - 36178318880*f + 48482886147200 = 0.\nAnswer: -3320, 1483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4581580 from 0.13439.\nAnswer: -4581579.86561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138 + 3 = -4*z - 5*a, 2*z - 4*a - 74 = 0. What is the remainder when 30 is divided by (-20)\/z - (-162)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 39*d**2 + 4*d - 6. What are the prime factors of m(4)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 47\/(-3) + (-54)\/162. Let d be -2 - (-82)\/16 - (-2)\/t. Solve 4 = d*a - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -94 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2777619 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -71c (base 16) in base 9?\nAnswer: -2442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -265456 = 19703*o - 3112*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 57\/(-95) + 4\/(-10). Sort 47, z, 2.\nAnswer: z, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - 4*z + 28, 2*z - 6*z = 5*k - 33. Let o = 4024 - 4013. Solve -k*s - o - 9 = 4*g, 0 = 3*g - 2*s - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 628884\/(-5176)*2\/(-3).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000007526 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -z - 75482 + 37689 + 37730.\nAnswer: -z - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1385909, -2771807, -4157695, -5543573, -6929441?\n\"Answer: 5*t**2 - 1385913*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 16 = 4*y, -5*z + 9 + 15 = -4*y. Let v = 10 + -4. Suppose 3*a = a + v. Solve -6*i + a*k - 1 = -2*i, z*k + 5 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2134 divide 5744728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 92*p**2 + 3*p**3 - 88*p**2 + p**3 - 4*p**4 - 4*p = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-105)\/9 + 10 - (-52)\/42\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from {w: 2, k: 8, m: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*u = 5 + 9. Suppose 10 = -u*o, -6*o + 4*o - 511 = -3*g. Let d(k) = 82*k - g*k + 75*k + 3. Give d(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000003180448564 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*f = -11*f. Suppose f = n + n + n. What is the closest to n in 1\/2, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 66469989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 241306\/(-26)*(2 + -3)*5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, -4, -5, -1, 1 in increasing order.\nAnswer: -5, -4, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -3*u**2\/7 + 1370425194*u\/7 - 156505434362494803\/7 = 0.\nAnswer: 228404199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**5)\/i**3*(i**(-1))**(-24) assuming i is positive.\nAnswer: i**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-11) + 1350\/(-891))*3\/22. What is the closest to r in -8\/3, 0.01, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**2 - 23268272*o + 33838280116624.\nAnswer: 4*(o - 2908534)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -355*h + 460 = -500*h + 260*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/10*4\/8*20. Calculate the common denominator of (((-9)\/(-10))\/9)\/(28\/395) and (2*s\/40)\/(-4).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59827051?\nAnswer: 2999, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**2 + 700*o + 705.\nAnswer: -5*(o - 141)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12\/5 + -14\/5. Let r(q) = 68*q - 2450. Let i be r(36). Which is the nearest to d? (a) 6 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-8)\/((n**(-8\/9)*n)\/n)*(n\/n**(-3)*n)**(-1\/21) assuming n is positive.\nAnswer: n**(-463\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -40.824*218\nAnswer: -8899.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -2*x**3\/3 - 14*x**2 - 60*x + 224\/3 = 0.\nAnswer: -14, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -247872, -494947, -742032, -989133, -1236256?\nAnswer: -1483407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5)*-3 + 0 - ((sqrt(5) + sqrt(5)*3 - sqrt(5)) + 0))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {g: 2, r: 1, l: 1, u: 2, v: 2, x: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(-15)*(-2)\/((-4)\/(-85)). Suppose 0 = -14*f + c*f - 75. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/15*-6)\/((-2)\/((-32)\/12)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 564246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 79438393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.07 - -2.13. Let y = i - 4.2. Let h = -0.28 + 0.3. What is the nearest to y in 0.1, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - sqrt(68)*2) + sqrt(68))*-2 - sqrt(68))\/(sqrt(4) - (sqrt(484)*1 - sqrt(4))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-30*u - 34*u + 19*u)*(-2*u + 3*u + u).\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 0 + 3*r - 2 - 79*r**2 + 81*r**2. What is z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 1, 3, 2416 in ascending order.\nAnswer: -5, -1, 1, 3, 2416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 5:15 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2285.78 + 2286.190099. Let m = 1.11 + -0.7. Let p = m - d. What is p rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 201153 + -67?\nAnswer: 201075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 122\/2 + 18 + -23?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 16, -4*y - 4*l + 2*l - 60 = 0. Let d be y\/(-3) - (-2)\/3. Let j be 20\/(-6)*(-3 + 0). Solve -5*b + 15 + d = -4*v, 2*v = -j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (8 + -34 + 9)\/((-2)\/122)?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zvvvauavvzvaavavi. Give prob of sequence uiz.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/(-9))\/(2\/(-3)). Let j be 0\/(x - -1 - -2). Let f be 3*1\/(-2)*2. Put j, f, 2 in descending order.\nAnswer: 2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48919394.\nAnswer: 2, 24459697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 378 != 379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 72 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 3 = 0, -4*p + 11 = -3*a + 4*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -21053 + 63890. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 35682603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -263611 - -610632. Let k = g - 167021. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*p + 4*h - 32, 1945*p - 1950*p + 2*h - 34 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -310230 (base 4) to base 5\nAnswer: -101442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 43 = -4*o, l + 36 = 3*o + 4*l. Suppose -o*w = -2*w - 90. Calculate the smallest common multiple of w and (-118)\/(-6) + 2\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-36)\/45)\/((-1)\/110). Factor 14*w**3 + d*w**4 - 183*w**4 - 12*w**2 + 93*w**4.\nAnswer: -2*w**2*(w - 6)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of 0 - 1\/12*k**4 - 1\/2*k**2 - 9*k + 3\/2*k**3. What is the units digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 4*u - 6. Let k(b) be the third derivative of -b**4\/3 + 11*b**3\/6 - 9*b**2 - 4. Determine 11*a(j) + 6*k(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 10096.09 years?\nAnswer: 100.9609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6299963, -6299961, -6299957, -6299951?\n\"Answer: n**2 - n - 6299963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 45 + 51 = 0. Let l be ((-5)\/2)\/((-4)\/q). Let x = 28 - l. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1726436*x = 1726443*x + 2*s + 47, 3 = -3*x + 2*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -2.8 times 0.241387?\nAnswer: -0.6758836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32689 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, b: 3, m: 4, w: 2, t: 7}. Give prob of picking 1 w, 1 b, and 2 m.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1530345ns to milliseconds.\nAnswer: 0.0000001530345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 - 7*j - 9. Let v be y(-6). Suppose 6*n - 16 = 3*n + 4*s, 0 = 4*n + 2*s - 14. Suppose d = n*d + 15. Is d at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 + -4. Let i = 1.5904 + 0.416. Let p = i - g. Round p to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 255*p**3 + p**2 - 3*p - 627.\nAnswer: 1530*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 693985 (base 10) to base 2.\nAnswer: 10101001011011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*i = 23*i + 12. Suppose -h + 4 = b, i*b + h + 3 = 12. Solve b*k - 7*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -120 - 103?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8507 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 3:07 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 9 + 10 - 15 + 3892*p - 4 in the form k*p + z and give k.\nAnswer: 3892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 23\/33 + 779\/66. Suppose -62*x + n = -61*x - 4, x - 10 = -5*n. Determine c, given that -x*c + 1\/2*c**2 + l = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m + 1. Let u(o) = -4*o + 7. Let y be u(3). Let z(g) = -g**2 + g - 7. Let v(f) = y*l(f) - z(f). Determine v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 + 7*q**2 - 13*q - 12. Let d be b(-8). What is the units digit of (-4)\/14 - (-92)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22013031213 - 0?\nAnswer: 22013031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5512 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 548813999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -11. Let n = f + 5. Let b(w) = 5 + 7*w**3 + 3*w + 3*w**2 - 8*w**3 - 2*w. Give b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -21*s**2. Let m(y) be the second derivative of y**6\/360 - 4*y**4\/3 + 2*y. Let r(o) be the third derivative of m(o). What is r(g(h))?\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiwiumiyiiiyumiiuww. What is prob of picking 1 i and 1 y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -29 - -15168?\nAnswer: 15139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5572 and 4?\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1.81, 0.1, 1\/4, 5 in ascending order.\nAnswer: -4, 0.1, 1\/4, 1.81, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 378 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*y = -27*y - l - 73, y + l = -18 + 1 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -1. Suppose 0 = 4*m + g + w*g - 20, -22 = -3*m + 4*g. What is the units digit of (-5 - -2)*(-4)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -39*p**2. Let d(t) = -14 + t + t - t - 21. What is a(d(j))?\nAnswer: -39*j**2 + 2730*j - 47775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 + 16*l**2 - 1955*l + 357. Calculate q(-53).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 95795 and 511865?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g - 1. Let k(h) = 7*h**2 + 5*h + 4. Give -k(o) - 4*s(o).\nAnswer: -7*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/((-102)\/8)*-69*505\/(-27876).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1559597*k**4 + 2*k**2 - 1016870.\nAnswer: -6238388*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 483452, 483461, 483476, 483497?\nAnswer: 483524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 41*l + 62*l - 81*l - 5. Determine v(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 + 4*t - 5. Let s be m(2). Let a(v) = -v**2 - 2*v + 2. Let u be a(2). What is the second smallest value in s, 1\/3, 0.1, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 130132 + -21?\nAnswer: 130111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 155 and 341?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13599*v**4 + v**3 + 9*v**2 - 9*v + 48 wrt v.\nAnswer: -326376*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.619893 and 0.381.\nAnswer: -0.236179233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4366 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 119*u + 99*u - 29*u.\nAnswer: 189*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a + 17. Let l be p(13). Suppose -2*g + 3*g - 1 = 0, -5*z = 4*g - 19. Let m be (-3 + z + -6)*-2. Solve 5*j - 2*d = m, -17 - 11 = -l*j - 3*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 2*f**2. Let u(o) be the first derivative of o**4\/8 - 3*o**2\/2 - 3. Let h(k) be the second derivative of u(k). Calculate h(p(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*b**2 - 39 - 31 - 36 + 106 + 127*b + 9*b**2.\nAnswer: 6*b**2 + 127*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2. Let v(k) = 3*k**2 + 8*k + 6. Let b(a) = 2*d(a) - v(a). Suppose -4*w - 35 = 5. Let r = w - -5. What is b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3692 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5930126.29 plus 61227?\nAnswer: 5991353.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2. Let w(j) = 5*j - 2. What is w(z(m))?\nAnswer: -5*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10952 - 10992) + 1 + -2 + 85.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12491, 100263, 338517, 802493, 1567431, 2708571?\nAnswer: 4301153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7673655 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 7 = -a, 5*q - 5 = -a + 2*q. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 2*p + 4 = 0, -2*p = -p + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -32.077 + 0.077. Let c = m - -25. Let f = -3 - c. What is the second biggest value in -4, f, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19235201 and 1501?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26 - 24. Let n = 5.6825 + -7.682325. Let p = n + q. What is p rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 733, -0.0546.\nAnswer: -4, -0.0546, 733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8713735 litres in millilitres?\nAnswer: 871.3735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 5*o + 212 - 203 = 0, 9*i + o = -35 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 138 + -140. Put -9\/4, 0, i in increasing order.\nAnswer: -9\/4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 171*p**2 - 16*p - 13. Let r be b(-1). What is the highest common divisor of r and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1888647291.\nAnswer: 3, 19, 61, 181061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**5\/3 - 268*w**4\/3 + 542*w**3\/3 - 272*w**2\/3.\nAnswer: -2*w**2*(w - 1)**2*(w + 136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 6.277+7591368\nAnswer: 7591374.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-124 - (-22 - 91)) + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0062838889 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 652508708 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-9)\/810*-8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/36 and 71\/308.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 37\/5 of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = -5*u + 4*j + 2, -5*u = 5*j + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -7. Calculate the remainder when ((-1)\/(-1))\/(-1) + 7 is divided by 0 - m - (-5 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -96*u + 559. List the prime factors of b(-35).\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d**(14\/3)\/d*d**(-1\/3)*d*d assuming d is positive.\nAnswer: d**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 497*a**5 - 2*a**3 - 3*a**2 + 101.\nAnswer: 29820*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 54138900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 3*p + 5*p - 3*p + 2*p + 0*p + (-1 + 0 + 3)*(-3*p + 4*p + 0*p) - 2*p - 3*p + 2*p)*(p**4 + 0*p**4 - 3*p**4).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 37342519961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15 - -16. Calculate the remainder when 119 + (6 - 2)\/(-3 + v) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 1 + 3)*(-4*j**2 + 11*j - 11*j)*(-16*j - 2*j - 22*j) to n + b*j**3 + v*j + g*j**2 and give b.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -147.72 + 99.776. Let z = -48 - f. Let d = z + 0.0559942. What is d rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 34 - 43. Suppose -h*v - 5*z + 65 = -27, 3*v - 83 = 4*z. Let g = v - 48. Which is smaller: g or -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 9*s - 7 - 1 - 4*s**2 + 2*s**2 + s**2. Let t be (3 - 2)*2\/((-10)\/(-35)). Determine u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000194032 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 68250786*g - 68250851*g + 130 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -c + -10?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 5*s**3 + 54*s**2 - 1211*s + 1084. Let r(b) = -b**3 - b**2 + b + 18. Let p(h) = -4*r(h) - z(h). Solve p(y) = 0 for y.\nAnswer: -68, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -133*x = -130*x - 2*k - 207, 2*k = -2*x + 138. What is the highest common divisor of 27 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v**3)**(-41)\/(v**17\/(v*v**(1\/18))) assuming v is positive.\nAnswer: v**(-3977\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1605689436.\nAnswer: 2, 3, 13, 10292881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*a - 8*a - 72. Let p = -123 - -175. What is the smallest common multiple of p and a?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 2*l**3 - 15*l**2 - 16*l - 12. Let z = 20 - 5. Let q be o(z). Suppose 1312 + q = 5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 567bc (base 15) to base 2.\nAnswer: 1000011001010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 - 8*r**2 + 6*r + 5. Let d be g(7). Let l = d + 6. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -91*b - 2. Let s(h) = 5*h. Determine o(s(n)).\nAnswer: -455*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23045 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-3*sqrt(34) + sqrt(1224)*-2)\/((sqrt(8)\/sqrt(4) + sqrt(2))*3 + sqrt(24)\/sqrt(3)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 798*k**3 + 7990*k**2.\nAnswer: 4788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8261 - -8372. Suppose 0 = -3*z, -4*l + 6*l - 3*z - 68 = 0. What is the remainder when k is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -69.855 - -69.8. What is the third smallest value in 3, 0.5, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 618 + 654 = 0. Suppose 858 + 132 + 1740 = -26*c. Let d = b - c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*t**4 + 0*t**4 - t**4 - 3*t**4 + 5*t**4 + 0*t**4 + (-8*t**3 + 4*t**3 - 4*t**3)*(0*t - 3*t + 4*t) as d*t + g*t**3 + f + p*t**4 + r*t**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 221547533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 3\/1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 108 = 5*u - 4*u, -2*u = 4*g - 108. What is the smallest common multiple of 90 and g?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-13956)\/(-9) - 7\/(-21). Let t = k + -44. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6*(-4)\/(-12) + 714\/3. Suppose -20*m + 8*m = -i. What is the remainder when m is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -3*u**5 - 74*u**4 - 44*u**3 + 98*u**2 + 47*u - 24 = 0. Calculate u.\nAnswer: -24, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the second derivative of -235*h**8\/56 + 3*h**5\/20 + 155*h**4\/4 - 615*h. Find the third derivative of d(i) wrt i.\nAnswer: -28200*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 1 + 4 = 0. Suppose -2*r = 2*l + 16, v*r + 8 = -2*r + 3*l. Let d = 0 - 1. Which is the nearest to 0? (a) r (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 325*g*j + 30*j - 10 wrt g.\nAnswer: 325*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 2. Suppose -2*v - 3*n = -d*n + 6, -7 = -v + n. Suppose 5*f - 10 = v*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(-4)\/((r**(-2\/3)*r)\/r))**(1\/38))**35)**9 assuming r is positive.\nAnswer: r**(-525\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200020 + 2201102011011?\nAnswer: 2201101110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be 13\/5 + (-3)\/5. Suppose m - 2*z = -13, 5*m + 0*z + 33 = o*z. What is the second biggest value in 2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13 - 21) + 7 - (-13 + -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1075, -1076, -1077, -1078, -1079?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of -4\/735*h**7 + 41*h**2 + 0 + 0*h + 1\/588*h**8 + 4\/7*h**3 - 1\/35*h**6 + 4\/105*h**5 + 13\/42*h**4. Factor j(r).\nAnswer: 4*(r - 3)*(r - 2)*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 504525520.\nAnswer: 2, 5, 59, 139, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -116991 or -117138?\nAnswer: -117138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 14, n: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 104421342, 104421345, 104421348, 104421351?\n\"Answer: 3*d + 104421339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 119, -13, -7, 29, -2.\nAnswer: -13, -7, -2, 29, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 31196 at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 5*w**2 + 48*w + 5. Determine x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, i: 2, x: 1, y: 5, j: 1}. Give prob of sequence yyix.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 876 divided by 292.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be -30 - -31 - 198\/(-2*1). Find the third derivative of b*j**3 - 32*j + 8 - 26 + 18 + j**2 wrt j.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7159 - -3226?\nAnswer: -3c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -860, -1721, -2582, -3443, -4304?\nAnswer: -5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -0*p + 3*q - 25, 0 = -p - 2*q + 10. Let n(l) = l**2 - 4*l + 4. Let z(m) = m + 1. Let d(k) = p*z(k) + n(k). What is the derivative of d(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 1)*70\/(-20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 136 and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/5, 1, 2\/3, 162322?\nAnswer: 162322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r - 6 = y, -3*r - 3 = -0*r + 4*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/71816 and 73\/24.\nAnswer: 215448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2498*t + 594067 - 594067 to f + r*t and give r.\nAnswer: -2498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4088 is divided by 216.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -3\/5, 45.1, 5, -0.3?\nAnswer: 45.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 14*n + 19632 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1836 a factor of 172484856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {h: 3, y: 2, s: 5, v: 1, j: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 4)*(1 - 1 + m**4) + (157*m - 59*m + 247*m)*(-m**3 - m**2 + m**2).\nAnswer: -347*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/141 (b) -68 (c) -2\/11 (d) -5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -28267819.9 rounded to the nearest 100000?\nAnswer: -28300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -4.2 (b) 16 (c) 0.2 (d) -0.4 (e) 2596 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-2*sqrt(2205) + -5 + (sqrt(45) - (5 + sqrt(45) + 1))*4)**2 + 5).\nAnswer: -48330 - 12180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t - 18914. Let o(x) = -2*x**2 - 50. Determine o(h(r)).\nAnswer: -2*r**2 + 75656*r - 715478842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 656, 638, 600, 536, 440, 306?\n\"Answer: -q**3 - 4*q**2 + q + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3201055.5746876 - 43.\nAnswer: 3201012.5746876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*q*q**29*q*q*q)*q*q\/q**(-31)*q*q)\/(q\/q**6)**0 assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -477087, -5 in ascending order.\nAnswer: -477087, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n**4 - 110*n**3 - 495*n**2 - 190*n + 800 = 0. What is n?\nAnswer: -16, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29521 is divided by 347?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17890.\nAnswer: 2, 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 8 + 3 - 4638*z + 2*z**3.\nAnswer: 2*z**3 - 4638*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -123 - -126. Suppose -3*h = 2*l - 61, -4*l = p*h + h - 124. Calculate the greatest common divisor of 32 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54222.\nAnswer: 2, 3, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1335572891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70 divided by 70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -4*i + 27. Suppose 18 + 6 = 3*g + 2*t, -g = t - 8. Let y be v(g). Let a = -10 - -15. Sort -4, y, a in decreasing order.\nAnswer: a, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -35, -47, -61, -77, -95, -115, -137?\n\"Answer: -b**2 - 9*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8234 + 5727 + 19111 = 1411*q - 41247 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 49 (base 10) to base 11\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-8)\/(-16))\/(2\/(-12)). Let q be 4 + -3*p\/9. Solve -x + y = -1, -q*y - 2 = 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -4*h - 33. Let q be w(-8). Let o(y) = 69*y**2 + y - 1. Calculate the remainder when o(q) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.07922 * -5.\nAnswer: -0.3961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5, f: 3}. What is prob of picking 2 k?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 39356 and 8.\nAnswer: 78712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the second derivative of 9*h**5\/5 + 35*h**2\/2 + 4*h. Differentiate l(z) wrt z.\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1852 divided by 17.\nAnswer: 1852\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-12)\/(-16))\/((-75)\/16 - -3). What is the second biggest value in m, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 424 and 530.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be 117*4\/420 - 1. What is the third smallest value in 4, -3, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 1 + (-18)\/8 - 24215\/(-20)*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 31 + -31.1. Let f = -6.06 + 6. Let n = f - u. What is the third biggest value in 2\/3, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2752 - 1379 = 21*u + 1289 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1476 = 1838*h - 934*h - 922*h. Sort h, 1, 4, 0 in descending order.\nAnswer: 4, 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38627131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52625*c**3 + 105122*c**3 - 52499*c**3 - 1711.\nAnswer: -2*c**3 - 1711","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.11 - 0.11. Put 5, s, -4\/3 in ascending order.\nAnswer: -4\/3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 + 5 - 2 + m - 2 + 0*m**2. Let j(w) = 32*w**2 + 9*w + 3. Let x(f) = -26*f**2 - 8*f - 3. Let v(l) = -4*j(l) - 5*x(l). What is 5*i(n) - v(n)?\nAnswer: 3*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 6*j + 190 = 0. Let g = j - 16. Suppose -5*v + g = -3*f, 3*v + 0*f - 13 = 2*f. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.7 - 0.2. Let f = l - 0. Let n = 11 + -12. Which is the smallest value? (a) 0.4 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**3 - 13*g**2 + 14*g + 4. Let a be b(-14). Suppose 0 = -3*t + 4*h - 3896, 6*t - 2*t + a*h + 5204 = 0. Round t to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 810704 by -31.\nAnswer: -810704\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2\/3)\/(p\/((p**0\/p*p)\/p))*(p**(-1)*p)**(7\/2)*p**3\/(p\/(p\/(p*p**(-2\/3)*p))*p*p)*(p\/(((p*p**(-3))\/p*p)\/p))\/(p\/(p\/p**3*p)) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 + 27*s - 121. Calculate the lowest common multiple of 183 and o(5).\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 55*q + 274. Let g be k(-5). Is 2\/1533 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + -16 + 15 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(45)\/((sqrt(90)*-2)\/sqrt(10)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (6 - 1) + (2 + -1 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -f**3 + 3*f - 3*f + (2*f**2 - 3*f**2 + 3*f**2)*(22*f + 161*f - 72*f) as h*f + l + r*f**2 + z*f**3 and give z.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b - 7. Let a(n) = 2. Let o(x) = -7*a(x) - 2*r(x). Let i(h) = -h**2. What is o(i(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5 + 2 + (12 - 28) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**2 - 10*b + 2. Let i be g(10). Solve o = y, 7*o - 2*o = -i*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 8, b: 4, f: 3, y: 4}. Give prob of picking 1 f and 1 w.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 240 = 49*b - 1426. What is the remainder when 302 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 5, y: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*g**3\/4 + 25*g**2 + 371*g\/4 + 49\/2.\nAnswer: (g + 7)**2*(7*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 245 - 225. Suppose r*f + 20 = 21*f. Calculate the highest common factor of 32 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -j - 10. Suppose -5 = -y, -4*l = -3*l - j*y + 2367. Let t = 9437\/4 + l. What is the common denominator of t and -11\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 46 (b) -95\/4 (c) 800 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - 4*q - q - q + 2*q - 3*q + (-2 + 5 - 1)*(-q + 3 - 3))*(-6*q + 4*q - q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 11250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 9333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0.5, -0.03, 0.4 in increasing order.\nAnswer: -0.03, 0.4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((552\/23)\/(-12))\/(5\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3943 divided by -5.\nAnswer: 3943\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 2:43 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7856.17 weeks in seconds?\nAnswer: 4751411616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -27 - 40. Let b be 5\/(-30) - z\/6. Let a(y) = -y**3 + 10*y**2 + 10*y + 13. Let j be a(b). Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 9*d - 5. Let i(m) be the second derivative of 114*m + 3*m**2 - 3\/2*m**3 + 0. Determine 3*i(l) + 4*j(l).\nAnswer: 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -3\/4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 2*r = -m + 12, -3*r = 4*m - 10. Let n(u) = u**2 + 1. Let x(w) = -3*w**2 + 5*w - 6. Let o(h) = 2*n(h) + x(h). Determine o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j - 4. What is the units digit of q(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41885039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 346 + -375 - (1 + -40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -128 + 158. Suppose -4*v + 18 + w = 0. Calculate the least common multiple of v and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*y + 17*y - 166*y.\nAnswer: -163*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11426 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5869891.\nAnswer: 5869891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*-0.0570649.\nAnswer: 0.0570649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -18*c**2. Let v(t) = -t**2 + 0*t**2 + 0*t**2. Give v(q(w)).\nAnswer: -324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {y: 1, r: 2, g: 3, p: 3, b: 9}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -46512 (base 8) to base 5.\nAnswer: -1113121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k + 748 = -5*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.6 + 0.8. Let a = y + 0. What is the closest to a in 1, -2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -5*f + 3. What is the lowest common multiple of j(-1) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 38535*z**4 + 4*z**3 + 84414*z - 4.\nAnswer: 462420*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 9673*d - 2 - 4855*d - 4819*d.\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be 44\/8 + 3\/6. Suppose f = -0*f - 2*u + v, -5*f + u = 14. Suppose 5 = -5*w - 2*x, 5*w - 5*x - 2 = -42. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/2 of a kilogram in grams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -17*d**2. Let i(n) = -7424*n. What is t(i(g))?\nAnswer: -936968192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -2.1882844 rounded to three decimal places?\nAnswer: -2.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 - 4*j**2 + 3*j. Suppose -18*n = -15*n - 6. Suppose 18*m - n = 17*m. What is s(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 4*b - j, -j - 10 = j. Suppose -b*t = -6*t + 68. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*v - 41 + 106 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -18*o**3 - 13*o**2 - 52*o - 1012. Let w(u) = 3*u**3 + 2*u**2 + 8*u + 169. Determine 13*w(v) + 2*z(v).\nAnswer: 3*v**3 + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9065 - 9068. Let y(v) = 3*v**2 + 3*v + 2. Let x(l) = l**3 - 4*l**2 - 4*l - 3. Calculate c*x(q) - 4*y(q).\nAnswer: -3*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 0*n + 3*y = -588, 5*n - 5*y - 580 = 0. Let t be 18 - (2 + -3 + 4). Calculate the greatest common divisor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87368349.9 rounded to the nearest one thousand?\nAnswer: 87368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c - 4 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448)*2)\/(-2*sqrt(144)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - 2*w + 0 + (3 - 3 - 1)*(-w + 3*w - w) + (w + 3*w - w)*(-12 + 10 - 13).\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13179978.99999976 - -13179985. Let b = i + -6. What is b rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-449*z - 134*z - 1010*z)*(0 + 2 - 3)*(0*z + 0*z - z) to r + s*z**2 + y*z and give s.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/2 - 1094\/(-4). What is the common denominator of k\/77 - (-4)\/(-14) and (-675)\/525*(1 - 0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*(-4)\/(0 + 4). Suppose 4*b = 5*y + 1154, 0 = d*b - 5*b + 2. Round y to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes before 7:20 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 8:53 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -5*k**2 - 14*k - 36. Determine v(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 6, b: 4, p: 2, w: 3}. What is prob of sequence bp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*q**3 + 10*q + 32*q**3 - 10*q.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 50531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 5\/(10\/20064) + (-35 - -31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -5 + (-48)\/(-9) + 67166\/12330. Let w = 2\/685 - i. Is w <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -534 - 33?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -223 + 222.6. What is the nearest to 1.4 in t, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 2 (b) -1.5 (c) -3\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**3*u**4 - 330*l**3*u**2 + 12*l**2*u**5 wrt u?\nAnswer: 48*l**3*u + 720*l**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -22*t**2 - 9*t. Let l(d) = -11*d**2 - 4*d. Let n(y) = 4*i(y) - 9*l(y). Let u(f) = -2*f**2. Calculate u(n(j)).\nAnswer: -242*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4862719 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3*(((-1520)\/102)\/(-2) - 4452\/37842)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 136*j = -141*j + 16, 2*j = -3*q + 12. Solve 20 = -4*o, 4*c = 7*c - q*o - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 0 + (1*sqrt(108) - sqrt(108)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.94 or 2?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 253 (b) 593 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 146*c - 325*c = -3401 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve s + 15 = 6*s, -9*s - 8 = -20*c + 15 + 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 2 i, and 1 d when four letters picked without replacement from {m: 1, i: 5, b: 3, r: 2, a: 3, d: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1913 - -1934. What is the remainder when 167 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 265*c - 24707 = 49958 - 21135. What is the remainder when c is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 24*q. Let s(h) = 8*h + 179. Let g(a) = -a - 23. Let m(b) = 6*g(b) + s(b). Determine m(j(c)).\nAnswer: 48*c + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2\/8)\/(-1))\/(((-12350)\/120)\/(-65))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/5, 0.1, 0.0471?\nAnswer: 0.0471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -452\/3 + 150. Let n = -0.4 + -0.1. What is the smallest value in 0.5, g, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 + 0)*(2 - 2 + 3*h) + (-4*h + 2*h + 4*h)*(0 + 2 + 1) - 3*h + 0*h + 5*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -28\/151 or -1?\nAnswer: -28\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3636 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-5)\/((-5)\/(-4)))\/1. Let l be k\/(-6) - (-5)\/(-3). Suppose -2*i + 4*i - 23 = 5*v, 21 = 4*i - 5*v. Is l not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {n: 1, e: 2, c: 2, v: 5, b: 1, a: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -17\/30 + -409\/30. Let k = -14 - a. Factor 1\/5*v**5 + k*v**4 + 0 - 1\/5*v**2 - 1\/5*v**3 + 0*v.\nAnswer: v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the second derivative of j**6\/30 + j**5\/20 - 33*j. Factor f(w).\nAnswer: w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26478721 is divided by 54?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g + 12. Let i(l) = 2*l**2 + 2*l - 12. Let f(a) = -4*i(a) - 4*j(a). Let v(z) = 33*z**2 + 1. What is v(f(k))?\nAnswer: 2112*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + -9. Let c = n + 6. Solve 2*x - c = 3*v, 0 = -5*x + v + 4*v + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1547 is divided by 84?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 247875177 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 9:06 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*10101.6054.\nAnswer: 2020.32108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**4\/l**(-2))\/(l**4\/(l*l**(-2\/7))))**9)**8 assuming l is positive.\nAnswer: l**(1368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/2 - (-5)\/(-100)*-10)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 47*g - 20*g - 8 - 25*g - 12*g - 22*g to s*g + y and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 32149, 64361, 96627, 128947, 161321?\n\"Answer: 27*c**2 + 32131*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2041 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 10288 + 279 = -3*j, 0 = -w - j + 2502. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 114 - 36604?\nAnswer: -36480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 7, j: 4}. What is prob of sequence ww?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = 3*c - 12, 5*o + 3*c = 4*c - 4. Suppose 2*l = l - 3*v + 63, o = -2*v + 6. Calculate the highest common factor of l and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 336 + -264. Solve -11*k + 94 = m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -274*h - 3838 = 546 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f**2 + f - 5. Let q be i(4). Let u = q - 15. Suppose 2*a = w - u, 0 = -w + 6*w + a - 80. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (21\/(-15))\/(9\/(-45)). Let w(l) = 2*l**2 - 3*l - 4. Let t be w(3). Solve -4*z - i = t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 196\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*o + 146363 + 146363 + 2*o**3 + 3*o - 292726.\nAnswer: 2*o**3 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -29*z - 4. What is the units digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -10*q + 30. Let i be l(0). Let g be 3\/(2 - i\/24). What is the highest common divisor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*j**3 + 0*j**3 - 6*j**3 + (4*j - 2*j + 5*j)*(1 + 1 + 0)*(-2*j + 2*j + 2*j**2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 4562, 9125, 13688?\n\"Answer: 4563*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 11.12 * -0.03\nAnswer: -0.3336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y. Suppose 5*t = x - 2*x + 13, 0 = 3*x - 3*t - 3. Let u(p) = x + 3*p - 9*p - 3. Calculate b(u(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 6*c + c**2 + 3*c + 0*c**2 + 9. Let z be h(-8). What is the highest common factor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63222417 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 374 = 4*y + 370 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 46 = 2*b, -3*h + 14 = -2*h + b. Let k be (1\/(-2))\/(h\/12039). Let z = k - -337. What is the common denominator of 28\/27 and z?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -2*t**2. Let v(g) = 14*g - 12. Let w(i) = i - 1. Let y be ((-18)\/8)\/(6\/(-32)). Let l(k) = y*w(k) - v(k). Give u(l(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 74*h + 2*h**2 + 3*h**2 - 3*h**2 + 114*h + 156*h to d*h**2 + p*h + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 630 - 624 = 2*j, -3*q + 6 = -5*j + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i - 8. Determine u(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -60497 = 458*b - 14697 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 464*a + 2845*a**2 - 943*a + 479*a as v*a**2 + z*a + q and give v.\nAnswer: 2845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 563061982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 506799580 to the power of 1\/2, to the nearest integer?\nAnswer: 22512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-14430)\/32630*147 + 65?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -219063 = -4149*d - 1468*d for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*t**5 + 76*t**4 + 612*t**3 - 2156*t**2 + 1016*t + 480 = 0 for t.\nAnswer: -5, -2\/7, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1522760173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (213 + -1)*(5 + (-10164)\/(-112)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -3*b + 162. Let h = b + -31. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 + 7*l + 5. Let k = -21 - -28. Let r be n(k). Solve -5*d - r = 4*t + 7, 5*t + d - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2894796 and 1404?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(242) + -1)**2 + 5 + 5 + -1*sqrt(2).\nAnswer: 43*sqrt(2) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.2 - -0.3. Let y = -11 - -17. Let z = y + -6. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -160, -67, 28, 125, 224, 325, 428?\n\"Answer: k**2 + 90*k - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*x - 60 = 12*x. Solve -5*f + y - 6*y - x = 0, -f + 2*y - 7 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 165 + -189. What is the units digit of (-14)\/((-6)\/(-16)*8\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 16*-986\nAnswer: -15776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(3\/(-2) + 2\/(-4)). Let i(n) = -n**3 - 2*n**2 - 2*n - 5. Let b be i(h). Let d(t) = -812*t + 20. Let p be d(b). Round p to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20675687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide (-2018)\/3*(-25 + 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**4 - 2349*i**3 = 0. Calculate i.\nAnswer: -2349, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/6)\/2*987480\/(-16458).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 27 = -93. Calculate the highest common divisor of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(51) + sqrt(816))\/sqrt(3))**2*-5.\nAnswer: -12750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -162150 divided by -5.\nAnswer: 32430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 81*h**2 - 1020*h - 719. Determine f(-92).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*w**3 - 21*w**2 - 18*w + 801.\nAnswer: -6*w**2 - 42*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 276 + -271. Let s be n\/3*180\/60. Solve 0 = -3*f - 2*w, -3*f + 0*w = -s*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together 24.7 and 48111.993658.\nAnswer: 48136.693658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/7 (b) -0.08 (c) -2\/427 (d) 3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4059 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 27 + -23. Suppose -32 - 52 = -c*s. Calculate the remainder when 39 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -259 times 1.6?\nAnswer: -414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 131\/760 and 1\/38.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times 0.1088333?\nAnswer: 0.3264999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 247 <= 250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 207 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert bbbaa9 (base 12) to base 10.\nAnswer: 2985825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.0712 - -0.0498. Let h = -27.561 + u. Let i = 25 + h. What is i rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1663102 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 841865901, 841865900, 841865899?\nAnswer: 841865898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*v**2 - 26*v**2 - 14*v**2.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3971683979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, 1, 5.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - 19 - 8 - -30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i + y = 4*i + 78, 4*y + 88 = 5*i. Is 15 a factor of i\/(-12)*3*-23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 28*o + 17844 = 30*o, o = r - 8924. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 1) + -7 + -2 - -26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 11.12086507 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 864780 and 1796550?\nAnswer: 255110100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -2716 by -28.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -58*q**2. Let o(r) = -10066*r**2 + 3. Determine o(v(h)).\nAnswer: -33862024*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1310)\/(-9300) + (2 - 1). Let i = -4\/155 - g. What is the common denominator of 39\/32 and i?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26.04 + -27.7536. Let z = 261.7 + -260. Let r = k + z. What is r rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 4*f + 2*x + 6, 2*x = 3*f - 6. Suppose q = -f*q + 3. Let v(i) = i - 6. Let t be v(18). Solve -4*k - k = 4*b + 20, -q*k + b - t = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 2*c**4 + 0 - 2*c**3 + 2 + 0*c**4 to x*c**3 + g + z*c + n*c**4 + y*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 225 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.78 * 5660.\nAnswer: -4414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c - 60625 + 60675 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1333 (base 6) to base 8\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (120 + 123 + 25*c - 244)*(-7*c + 7*c + 4*c).\nAnswer: 100*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**5 - 21*u**4 - 30*u**3 + 6*u**2 + 33*u + 15.\nAnswer: -3*(u - 1)*(u + 1)**3*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -6*s - 20. Let l be r(-3). Let z be 2 - (-3 - -7)\/l. Does 25 divide 698\/z + (-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of d*m*q**2 + 1832*d*m - 2*d*q**2 - d*q + 78*m - 55906*q wrt q?\nAnswer: 2*d*m*q - 4*d*q - d - 55906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -63357, -126433, -189475, -252465, -315385?\n\"Answer: 3*i**3 - i**2 - 63094*i - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2041741?\nAnswer: 13, 157057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2686 + -89101159?\nAnswer: -89101159.2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*a + 16*a - 19*a + 1.\nAnswer: -43*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 355596 and 5580.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -g - 18. Let n = g + 81\/4. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -72506 and 1.19?\nAnswer: -86282.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -312133 (base 5) in base 3?\nAnswer: -112010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = 4*x + 92, -18067*d + 18071*d - x - 23 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00010376832 to seven dps.\nAnswer: 0.0001038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 390894370 = -c + 85894452. Let u be 1\/4 + c\/(-8). Let s = u + -25224990. Round s to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 47 - 51. Let v be 36\/(-114)*(2 + (-460553)\/j). Let g = 36358 + v. What is the common denominator of 27\/2 and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -r*u**2 + 2*r*u + 25040285*r + 10941*u**3 + 16*u with respect to u.\nAnswer: -2*r*u + 2*r + 32823*u**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 4518 = -4*j - 19863, h + 3*j - 3050 = 0. Suppose -3*u = 2*u - h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.03198 and 0.3021.\nAnswer: 0.009661158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 6505527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 539 = 6*a. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3545933468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 993463277 to the nearest integer?\nAnswer: 31519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m = -5*m - 20. Suppose 0 = m*p + f - 705, 2*p + 2*p = -f + 564. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 5*o. Suppose -5*h - m = -0*m - 6, 4*h = 2*m + 16. Let a(z) = -4*z**h + 0*z**2 + 3*z**2. Determine i(a(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 146 - 144. Solve 2 = m*h - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4653 and 3450458?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.015 + -0.515. What is the second smallest value in -16, a, 3\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -8*o. Let p(t) be the third derivative of -t**5\/30 + 9*t**2. Determine p(c(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -11. Suppose b - j = 6*b, j = b + m. Let s be 4\/b - (-2)\/((-28)\/46). Is s equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of 4*p**2 - 5. What is l(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8736\/(-3234) - 48\/(-14)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*i + 2*j - 2 = -33*i, -5*i + 15*j - 28 - 103 = -10*j - 22*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 54 + -49. What is the remainder when s*21\/(-35)*214\/(-6) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 2)*11168\/53048?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7)\/1 - (-1 - 2). Put 1, d, 0 in ascending order.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t**2 - 3*t + 2*t**2 - 2*t**3 - 3*t**2 + 2*t. Let u be w(-2). Suppose -2*j + u*j - 56 = 5*l, -2*j + 3*l + 28 = 0. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 2*o**2 + 8*o - 1. Let u be w(-4). Let k be u\/5 + (-234)\/(-270). Sort 2\/7, 4, k in decreasing order.\nAnswer: 4, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*215\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16951*k**6 + 10*k**2 - 403 wrt k?\nAnswer: 2034120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 - (1 + (-2 - 0)). Let c = -1 + r. Let g = 3 - -3. Calculate the lowest common multiple of c and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + 4*z = -3*m + 123, 5*m - 182 = z. Suppose -4*t - 26 = -6*t. What is the remainder when m is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -38560 or -38562?\nAnswer: -38562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 160720417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is l in l**3\/4 - 3955*l**2\/2 + 7909*l\/4 = 0?\nAnswer: 0, 1, 7909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -191 - -225. Suppose 0 = 6*c - 38 - z. Calculate the smallest common multiple of c and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:23 PM and 5:47 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 5*d + 16 = 0, d - 5*d - 32 = 4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*k - 263 - 261 + 528)*(-45*k**2 + 18 - 18) to the form u*k**3 + p + b*k + q*k**2 and give u.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -53594135, -53594141, -53594147, -53594153, -53594159?\nAnswer: -53594165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -105020 divided by -59\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 + 2*s**2 + s - 4. Let i(t) = -80*t**4 - 5*t**3 + 8*t**2 + 22*t - 16. Let d(u) = -i(u) + 4*r(u). Find the second derivative of d(p) wrt p.\nAnswer: 960*p**2 + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 3*u**2 - 33*u - 25. Let r(o) = 2*o**2 - 32*o - 26. Let q(g) = 4*r(g) - 3*z(g). Let s be q(-19). Let f = -64 + s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 7*m - 68. Determine a(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 361752648 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 530764154 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*m**3 + 63*m**3 - 124*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/312 and -83\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -2 + 6 + 1 - t + 0*t. Let n be z(0). Does 4 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -10645 - -1387?\nAnswer: -9258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 66*l + 65*l - 5 = 0, 0 = 3*p + 3*l + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 83*f - 4. Suppose -3*q = 2*n - 121, 4*n = -4*q + 249 - 81. Is a(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 5*q**3 + 9*q**3 + 0*q - 2*q + 1 + q. Calculate the remainder when 53 is divided by j(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21442?\nAnswer: 2, 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*j + b - 77, 60 = 3*j - 3*b + 399 - 162 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 + 12. Let x be ((-18)\/4)\/(h\/(-16)). Round x to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2555004 - 115?\nAnswer: 2554667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 1720 = -23*i + 2111 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.0231, -0.4, -5, -1, 0.21 in increasing order.\nAnswer: -5, -1, -0.4, -0.0231, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 21*d - 483. What is v(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-4)*(-14)\/(-12)*945\/8820.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49906 = -182*b - 15144. What is the remainder when 785 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6724 and 461004?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 1:58 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - j - 101 = 3*s, -245 = 5*s - 5*j. Find the common denominator of (3\/4)\/(30\/76) and (-7 - -12)*4\/s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8)\/(-6) - (-12)\/18. Suppose 4*k + o = 10. What is the third derivative of -k*i**2 + 3*i**5 - 4*i**5 + i**2 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-385 + 385 + 33*d)*(d**2 - d + d) - 4*d**3 + d**3 + 4*d**3 in the form m + t*d**2 + s*d**3 + l*d and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 90213430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*n = -533*n - 6479 - 5089 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence myf when three letters picked without replacement from zmzmxyxxfz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6910364 to the nearest integer?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrppprrprrrpprprppr. What is prob of sequence rr?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 443638537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from puuupppuupvcpup. Give prob of sequence cp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 4, l: 2, x: 2, q: 3}. Give prob of picking 1 x and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -243, -385, -503, -585, -619, -593?\n\"Answer: 2*i**3 - 156*i - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5 - -5) + -3*(-6)\/9. Let b(a) = a**2 + 2*a - 1. Let u be b(m). Solve 2*n = 1 + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30691, 30664, 30635, 30604?\nAnswer: 30571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 + (-872)\/40)*(-25)\/(-10)*(4 + -5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-27)\/(-1458)*(-32)\/8.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2271\/559 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 112924389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/2016 and 169\/95508.\nAnswer: 764064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/(-10)*(-15)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -34\/4640251 and 4\/847?\nAnswer: 51042761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51809 is divided by 10358.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1322 - -1322. Let q(u) be the third derivative of -6*u**2 + 0*u**3 + 0*u + z - 1\/24*u**4. Let w(b) = -7*b. What is w(q(v))?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4258 - 38888 = -27*u. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/10)\/(((-174)\/(-75))\/((-114)\/(-285))).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 108 + -106. Suppose -736 = -4*p + 5*h, 0*p + t*p = 2*h + 366. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 48709590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/(-9)*(-12)\/(-1)*24\/(-144)*18?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -43184136*d**2 - 6983*d - 88 wrt d.\nAnswer: -86368272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 + 7*c**2 + 8*c. Let u be r(8). Suppose u*k + 4*k = 0. What is the common denominator of 1\/(1 - k) + (-213)\/(-36) and 37\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 333137495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -2*c**5\/7 - 25636*c**4\/7 - 109755306*c**3\/7 - 157889157296*c**2\/7 - 4028445655936*c\/7 + 4186444594176\/7 = 0.\nAnswer: -4264, -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78020 is divided by 1346.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 + 44*t**2 - 40*t - 733. Let n be m(42). Solve 0 = -1106*r + n*r - 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**2. Let y be (2 + -1 - 1)\/(-1). Suppose -3*f + o = 5*o - 77, -3*o - 12 = y. Let l(j) = -j + f - 31. What is c(l(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 5263302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1346969 - -891969. Round v to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42541, -170175, -382899, -680713, -1063617, -1531611, -2084695?\nAnswer: -2722869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooowjjwooooooowoojo. Give prob of sequence wowj.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**3 + 11*a**2 + 2*a - 7. Let q = 6 + 0. Is r(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176335829 to the power of 1\/2, to the nearest integer?\nAnswer: 13279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = r + 3*m - 17, -16 = 2*r - 4*m. Suppose r*u + 50 = 58. Which is the biggest value? (a) u (b) 1\/4 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aq when two letters picked without replacement from {n: 3, q: 1, p: 2, a: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 238036 (base 11) in base 5?\nAnswer: 44023322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*sqrt(180)*-2 + sqrt(180) - sqrt(50)\/(6*sqrt(40)\/sqrt(4)))*-2)**2*6.\nAnswer: 1560250\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -18209.\nAnswer: 9104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -170, -175, -184, -197, -214, -235?\n\"Answer: -2*j**2 + j - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - 12. Let j be ((g\/4)\/(-3))\/1. Suppose 0 = -j*t - 4*t + 832. Calculate the greatest common divisor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 3*s + 3. Let v be t(-5). Let c be (16\/v)\/((-2)\/3). Suppose c*a - 3*a + 77 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2 and 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-88)\/(-12) + 2\/(-6). Let j = -191 - -268. Calculate the greatest common factor of q and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 3 - 7 = 0. What is the third smallest value in 0.1, a, -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 52616.10848 + -52302.108478712. Let k = w + -314. What is k rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-54)\/(-45))\/(36*(108\/(-160))\/(-9))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4115152 - 3?\nAnswer: 4115145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 4602*t**2 - 2 + 14182*t**2.\nAnswer: 18784*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -384.6 + 385. Which is the third biggest value? (a) 4 (b) m (c) -31 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18532224 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 3*q**2 - 19203*q - 153816 = 0.\nAnswer: -8, 6409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 3 = -n. Suppose 3*x - n*x = -4. Suppose x*v - 10 = -4*f + 2*v, -3*f + 25 = -2*v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 0 + 3)*(o - 2 + 2) + 2*o + o - 4*o + 4 - 4 + 4*o + 1 + o - 1)*(-1 + 2*o**2 + 1) + (2 + 2*o**2 - 2)*(3 - 3 + o).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10 + -31. Let k = 25 + q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -85700174 by 12242882.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 113045 divided by 3?\nAnswer: 113045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 643565 - 2579141 = -29*c. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19590229 or 137131611\/7?\nAnswer: 19590229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6166 + -6163. Sort g, -22, -5, -1 in descending order.\nAnswer: g, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/12)\/(2 + (-32487)\/16242). Suppose -5*y - m = -2*t, 5*t - y = -0*t + 6802. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1283*c = -1286*c + 56139. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -60 by 20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 4*w - 1 + 4*w**2 + 5*w**2 + 11*w. Suppose -68 = 6*k - 20. Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4625509 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 69481 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) -22 (b) -9 (c) 4 (d) 7 (e) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-21)\/(-2)*(-4)\/(-6). Let v(f) = -f + 6. Let n be v(b). Let g = 22.6 - 23. What is the third smallest value in -4\/3, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4608 = -91*u - 421*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q**2 + 10*q - 300 = 0. Calculate q.\nAnswer: -15, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 - h - 3. Let n be i(0). Let s(z) = -2*z**3 - 5*z**2 - 2*z + 3. Let k be s(n). Let q = k - 16. Solve -8 = 3*f + 2*p + 1, 2*f + q*p = -8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 48*r**2*u**2 - 34*r**2 - 5*r*u**3 + 6*r wrt u?\nAnswer: 96*r**2*u - 15*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -12258*r - 1. Let d(m) = 8*m**2. What is j(d(h))?\nAnswer: -98064*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 + 30*g + 193. Let b be f(-9). What is the derivative of z**2 + 27*z**4 - 83 + 41*z**b + 190 wrt z?\nAnswer: 272*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 759*z - 759*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002092524 to six dps.\nAnswer: 0.002093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5809 or 5813?\nAnswer: 5809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 3*h**2. Let u(f) = -3*f**2. Let g(b) = -5*p(b) - 4*u(b). Let a(x) = 7*x + 4. Let n(c) = -38*c - 22. Let k(d) = 11*a(d) + 2*n(d). What is g(k(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 231387024.\nAnswer: 2, 3, 11, 438233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-26)\/(-4))\/(-13)*2. Let l(j) = 10*j**3 + 2*j**2 - 1. Calculate l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, p: 1, n: 1, b: 2, l: 2, j: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + (-189)\/(-33 + 96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 - z**2 - 1. Let q(c) = -7*c**3 + 4*c**2 - 2*c + 1. Suppose 60*l - 64*l = 2*v - 6, -5*v - 4*l + 9 = 0. Determine v*q(k) + 4*s(k).\nAnswer: -3*k**3 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -979 - 130 - 3853 - y**3 as p*y**2 + x*y**3 + w*y + t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -640 + 629. Which is the nearest to -2\/7? (a) 5 (b) -3 (c) z (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -8b93 (base 12) to base 7.\nAnswer: -63150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**3 - 6*r**2 - 12*r + 13. Let v be (-119)\/(-6) + (-4)\/(-120)*5. Suppose -2*a - 5*u + 35 = 0, 0 = 4*a - u - 17 - v. Is p(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25 is divided by (2 + -16)*5\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2335 = 710*p + 17864 + 10031 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-57)\/(-2) + 3\/6. Suppose -h = g - 35. Solve -5*i - 4*m - 23 = -g*m, -4*i - m - 8 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8919943*i**3 + 7*i**2 + 327*i - 10440 wrt i?\nAnswer: -53519658*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -25908798 take away -69?\nAnswer: -25908729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 + 20. Suppose -5*t + k = -7. Suppose 5*i - i = -t. Put 5, i, 0 in decreasing order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(3 + sqrt(1872)*-3 + 5) + sqrt(1872)*3 + -1 + 1 + 5.\nAnswer: -35 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or -21.91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -2*-2*9\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -224*-0.1.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (28\/(-7))\/(8\/3 + -2). Let k(h) = -423*h - 2*h**2 + 3*h**2 + 1 + 429*h. Let q be k(r). Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q. Let j be u(-8). Let w be 0\/(j\/(-2) - -3). Solve -2*d - 3*d + 15 = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of -1\/3*k**3 - 2*k + 19 + 2*k**2. Determine r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7258.929l in millilitres?\nAnswer: 7258929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - s - 870. Suppose -3*d + 167 = 3*i - 4*d, -4*d = -5*i + s. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184 = 42*c - 40*c + 4*u, -4*u = 5*c - 466. What is the remainder when c is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 145 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1990 take away 0.011?\nAnswer: -1990.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 408\/272*4\/(-26).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/6048 and 103\/48.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*a*a\/(a\/(a*a\/(a\/a**(3\/8))*a*a)))\/((a*a**(-15)*a)\/a)*(a\/a**(1\/6))**0 assuming a is positive.\nAnswer: a**(163\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11849681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 12:10 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 236*h*v + 851064*h + 456063461*v wrt h?\nAnswer: 236*v + 851064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -706 * 1.3.\nAnswer: -917.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 less than -5.965?\nAnswer: -6.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 2*b**3 + 48*b**2 - 238*b - 6691. What is l(-13)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 14151700 to the nearest 100000.\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -1\/6, 2, -1\/3, -11\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j = 3*i - 0*i + 72, 144 = -3*i + 3189*j - 3197*j - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 6*a + 7*a**3 + 2*a - 6*a in the form l*a + q + s*a**3 + h*a**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*i - i + 3*i)*(5 + 40 + 5 + 2*i).\nAnswer: 12*i**2 + 300*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 1991*f - 429*f - 12013 = 3607 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m - 5 = m. Let v = -5723.5 - -5724. Put v, m, -1\/6, -4 in ascending order.\nAnswer: -4, -1\/6, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 54 and 2074680.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) -11966\/5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2189 - 5*a - a**3 - 8*a**2 - 6*a + 8*a**2 + 12*a.\nAnswer: -a**3 + a + 2189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 = -8*v - 5*v - 69 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s - 0 + 8. Suppose -5*m = -2*f - 46, 8*f = 5*f + 6. Let x = m - s. Solve 3*l + 0*l + 4*g + 19 = 0, -2*l = -4*g + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*f - 12 + 12)*(70 + 67 - 27)*(1 - 1 - 3*f).\nAnswer: -3960*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/11, -13, 5, -1, 2.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 5) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4590 is divided by 3652?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9560.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -23, -19, -15, -11, -7?\n\"Answer: 4*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of 25*d**4\/2 - 2*d**3\/3 + d**2\/2 - 2. Let s be b(1). Solve -5 + 5 - 4*r + s*r**4 - 77*r**3 + 32*r**2 = 0 for r.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 11512 - 3.\nAnswer: 11509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q = 4*k - 30 + 28, 5*k = 8*q + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -6427817835833 + 92?\nAnswer: -6427817835741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 - (8 - (12 - (-9 - -7 - -11)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1158979.5 minutes to hours.\nAnswer: 19316.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -6207721?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-74)\/(-6))\/((105\/126)\/5) - 0\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 264 divide 178852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 21850 and 32775?\nAnswer: 65550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 - 6*x**2 - 18*x - 5. Let t be j(-4). Suppose -f + 15 = 3*q, 33*q + 10 = 3*f + t*q. Which is the nearest to f? (a) 0 (b) -6 (c) -0.3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/10)\/(160\/(-100)). Let a(u) = u**3 + 12*u**2 - 4*u - 24. Let n be a(-12). Which is bigger: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -286, -330, -374, -418, -462?\n\"Answer: -44*t - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 138322032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9909077475496.9999996 - 9909072260399. Let m = w + -5215099. Let t = m - -1. What is t rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84359 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2171113 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 2*s + 1. Let d(c) = 1. What is -5*d(b) - x(b)?\nAnswer: -2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/2 - (-2 - -1). Let s = 25 - 22. Suppose -5*n - s - 2 = 0. Put k, 2, n in ascending order.\nAnswer: n, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 150891574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 10212 = -5*d, -4*d + 2719 + 5455 = 3*g. Suppose -8*a - c = -3*a - 2039, -2*c = -5*a + d. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor h**3 - 26*h**2 + 23*h + 50.\nAnswer: (h - 25)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 401 is divided by (-3)\/(-9) - (-1356)\/3*(-1)\/(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**2 + 17. What is the remainder when 64 is divided by q(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -43 + 65. Suppose -4*l + j = -2*g, 0 = 3*g + 3*l - 2*l - 2. Which is the second biggest value? (a) 0.4 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(14)*2*-2)\/(sqrt(1008)*1)*5)**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9 (b) -2\/9 (c) -1331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 686111 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 l when three letters picked without replacement from {n: 3, q: 5, b: 1, l: 1, j: 1, r: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-54))\/((-15)\/75).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q**3 + 5*q**3 + 7*q**3 + (-4*q + q + q)*(-q**2 + 3*q - 3*q) + 0*q**3 + 0*q**3 + q**3 + (q - 2*q + 3*q)*(q**2 + 0*q**2 - 3*q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 - -112?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -153\/8 - -19. Let h = -0.92 + 12.42. Let w = h + -11.5. Which is the closest to w? (a) -0.2 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -7. Suppose 2*g = -k + 9, -2*k + o*k + 7 = 2*g. Suppose -g*n = -0*x + 3*x - 16, 3*x - 2*n = 28. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2463, 1017, 2 in descending order.\nAnswer: 1017, 2, -2463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5 + (7 + 7 - 6). Let b(s) = -5*s**3 - 20*s**2 + 13*s - 11. Let t(c) = -14*c**3 - 59*c**2 + 39*c - 32. Let l(x) = -17*b(x) + 6*t(x). What is l(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 122455588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/2 - (-10 - -6). Let j(s) be the third derivative of -1\/3*s**3 - 1\/12*s**4 + 0 + 0*s - t*s**2. Differentiate j(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2*(-2)\/(-8))\/((-11)\/(-33))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/10 + 37\/5. Let t = l + -10. Let w be t\/(-4) + 27\/12. Solve 4*x + 4 = h - w, h = -5*x - 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3472)\/(-112) - (14 + -12 - -113)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 96\/320*(-25)\/20?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, -2, 9 in descending order.\nAnswer: 19, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (15\/6)\/((-2)\/4). Let p = 9 + q. Let r = 100 - p. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**4 - 25624*l**3 - 163993528*l**2 + 1970690592*l - 5914840464.\nAnswer: -(l - 6)**2*(l + 12818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -2*d**2 - 5*d + 1. Suppose 4*k + 8 = 4*y, 2*k + 13 = -2*y + 1. Give t(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(-70) + (-43844)\/(-54320). Which is the fourth biggest value? (a) 365 (b) 2 (c) 4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 123879 (base 11) to base 13.\nAnswer: 6ac13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -226 + 326 + 9 + 1 + 17 + -2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -c**2\/7 + 40330*c\/7 + 403400\/7 = 0.\nAnswer: -10, 40340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -39*g - 130. Calculate j(-8).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + 3. Suppose -p - 6*p = 434. Calculate the remainder when 93\/p*(-68)\/6 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -50*a + 0*a**2 - 57*a - 188*a + 3*a**2 to h + v*a**2 + l*a and give l.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -892*o + 434*o + 461*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 541 divided by -1\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 147935519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of -6*s**2 - 5 - 15*s + 1\/3*s**3. Let f be q(13). Is 0.05 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - 1 - (1 + 2 + -5 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2 + 192*y + 4423. What is c(-165)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 4)*(22*p - 14*p - 45*p + 4*p + p - 3*p + (2 - 4 + 0)*(-2*p + 0 + 0)).\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 76.92 - 76. Round k to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hfvfvvyhvhfhffffvhf. Give prob of sequence fvy.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -3*d**2 - 5*d**2 - 2*d - 5*d**2 as x*d**2 + l*d + g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*n**3 + 9*n**3 + 6*n**3 + 36*n**3 - 64*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - 10*d - 22. Let s be w(-6). Suppose 4193 = 5*x + s*b, 0 = -17*x + 12*x - 4*b + 4201. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 + 6*q. Let b(u) = 6*u. Give 3*b(d) - 2*s(d).\nAnswer: -2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 38240159 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*z + 3324819 = 63*z. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1399 - 1398. Let l = 0.11 - -3.89. Let x = l + o. What is the biggest value in -5\/3, -5, -0.8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 312 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.5 (b) 10\/11 (c) -3.4313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, l: 3, q: 9, m: 5}. What is prob of sequence lr?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -20*k + 17*k + 29176, -2*k + 29168 = 4*o. What is the highest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -3, 9 in increasing order.\nAnswer: -3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 117732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -56\/653 - -1474\/1959. What is the biggest value in d, 230, -0.2, -2\/3?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*sqrt(405))\/sqrt(9)*4)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 253\/3 (c) 1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15106, -60524, -136240, -242254?\nAnswer: -378566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = u - 5*c - 76 + 80, 3*c + 12 = 14*u - 15*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*y**3 - 2*y**2 - y**4 + 14*y**3 - 21375*y + 21382*y + 29 to the form g*y + k*y**4 + f*y**3 + o*y**2 + u and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 27 = -3*o + 1, -5*o + 8 = -3*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20 - -29. Let k = 50 - p. What are the prime factors of ((-85)\/(-45)*3)\/(k\/18)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor h**2\/3 - 802*h\/3 + 160801\/3.\nAnswer: (h - 401)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(3 + 4 + 0 + -5*sqrt(700)*-2*5*-6))**2.\nAnswer: -1512000*sqrt(7) + 2268001764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-8\/11)*r*r\/r**(-2\/17) assuming r is positive.\nAnswer: r**(260\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -2*l**3 + 4*l**2 - 5*l + 3. What is p(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -106 + 111. Let d = 8083 - 8081. Suppose -5*t + t + u + 19 = 0, -2*t - 3*u = -13. Solve -2*g + 4*v = d, g = -t*v + s - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -6*n**2 - 2*n - 1. Let v be f(-1). Suppose 24 = 3*l + 3*j, -2*j + 15 = 5*l - 13. Sort l, -8, v in increasing order.\nAnswer: -8, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20588383469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*j - 199*j + 59*j + 446 = 0. Let 4\/3 + 1\/3*g**j - 4\/3*g = 0. Calculate g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 787628.9 rounded to the nearest ten thousand?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 0 - 4\/5*n**3 + 8\/5*n**2 + 0*n = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 2*x = -2. Let k = -0.9 - -0.1. Let t = -0.4 - k. What is the biggest value in t, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 196392 and 364728.\nAnswer: 2553096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/96144 and 101\/8?\nAnswer: 96144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -80, -241, -516, -929, -1504, -2265, -3236?\nAnswer: -4441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -11 - 4. Find the second derivative of 19 - 8 - 11 + 7*h - 7*h**p wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -48 + 60 - 38\/3 and -61\/333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -21 and 259521.\nAnswer: -5449941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 30477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gbfebyuuf. Give prob of sequence fu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 137 a factor of 37220264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -324, -111, 102, 315, 528?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xmmmmmmmmmmmmxmmmm. Give prob of sequence xmxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-13)\/(-4) + 39\/(-15) + (-16)\/40. Let 1\/4*k**2 + j*k + 0 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, l: 7, p: 2, s: 1, g: 1, v: 2}. What is prob of picking 1 g, 1 s, and 1 e?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -1\/110625?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 995*l*n**2*o**2 - 3*l*n*o**2 + 32*l*n*o + 10*l*o**2 + 70*n**2*o**2 + 2*n*o**2 + 6*n*o wrt n?\nAnswer: 1990*l*o**2 + 140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose s**3\/2 - 262937*s**2 + 7887869*s\/2 + 4206872 = 0. Calculate s.\nAnswer: -1, 16, 525859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j - 2 + 2 + (4 + j - 4)*(1 - 1 + 2) + 2*j + 0*j - j)*(3 - 3 + j**3).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2325390 is divided by 464971?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of q**3*s*v + 2*q**3*s - q**3*v - 5*q**2*s + 11*q*s*v wrt q.\nAnswer: 6*s*v + 12*s - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 6*t + 6. Let v(h) = 1. Let a(d) = -q(d) + 5*v(d). Let k be a(3). Let x = -1 - k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rxurrrrrrnxuux. Give prob of picking 1 u and 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 15965881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15648 and 5895384?\nAnswer: 23581536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 + 3*s**2 + 4*s + 2. Suppose 0*j + j = -5*r + 98, -6 = 3*j. Suppose r = -3*k + 2*f + 8, -1 = -k - f. Let m be o(k). Is m less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 489071960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.092 or 976.3?\nAnswer: 976.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -356 - -361. Suppose -v*l - 3*m = -1 - 8, -5*m = 2*l - 15. Solve -r - f = 0, 12 = 4*r + f - l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 3*o = 60. Let u be -2*(-1 + o\/4). Does -13 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -740*p - 78 = -727*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -166.0118*-0.2\nAnswer: 33.20236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 434967829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 1:16 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -9*i**2. Let m(r) be the third derivative of -17*r**4\/6 + 6*r**2 - 53. Calculate m(w(n)).\nAnswer: 612*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1246 - -1248. Solve -m*v = 5 - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21468 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/357105 and -163\/10740?\nAnswer: 1428420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4166555 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * 70.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f**3 + 31*f**2 - 17*f + 47. Calculate n(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 407 - 407.00605. Round d to 4 dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 42 - 35. Let p be (-24)\/(-14) - (5 + (-37)\/j). Suppose 7 = -p*h + 87. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of y**6\/72 - 5*y**5 + 750*y**4 - 3*y**3 - y**2 - 221. Let r(t) be the third derivative of a(t). Let r(f) = 0. Calculate f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1256746 is divided by 3952?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 23 + -19. Which is the closest to 0? (a) -1 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*d = -56*d - 605449. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -23*z - 44114. Let s = z - -28772\/15. Suppose 0 + 2\/15*f - 4\/15*f**2 + s*f**3 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/93 and 17\/30?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -7*t + 6. Let v(i) be the first derivative of -i**3 + 5*i**2\/2 + 16*i + 41. Let u(w) be the first derivative of v(w). What is -4*u(m) + 3*y(m)?\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 143 - 134. Let d = -197 + 206. Is c > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1229135, 2458267, 3687397, 4916525, 6145651?\n\"Answer: -x**2 + 1229135*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -n*y**3 + 7*n*y - 484*n - 2*y**3 + 14*y**2 + 3*y + 13 wrt n?\nAnswer: -y**3 + 7*y - 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.7 + 3. Suppose -1 + 16 = -5*f. Let p(t) = t**2 + 4*t + 2. Let y be p(f). Which is the nearest to y? (a) -5 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssm when three letters picked without replacement from {g: 3, r: 1, v: 1, s: 6, d: 1, m: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hrw when three letters picked without replacement from wmmtryhty.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 1856590 by 155.\nAnswer: 11978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*d**2\/7 + 276828*d\/7 + 26364.\nAnswer: 3*(d + 30758)*(3*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 18*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 6*h + 31 = -4*g, -5*g + 26 = 3*h. Suppose 0 = -2*t + 5*p + 110, -h*t = -6*t + 3*p - 44. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -3*b + 24. Suppose 0 = 2*x + 5*f - b, -2*f + f - 3 = 5*x. Let r be 1 + 26 + (3 - x). Calculate the highest common factor of r and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pms when three letters picked without replacement from {x: 6, i: 2, o: 1, p: 2, m: 1, s: 7}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 17556931 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 2107406.6 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + -3815?\nAnswer: -3819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f - 9 = -3*w - 3*f, -15 = -5*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y = -9*y - 7*y + 154 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 0.2, -2, -1\/2, 11, 109, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 2*sqrt(19)*-6 + (sqrt(19)*-1 - sqrt(19))*3 + sqrt(19).\nAnswer: -17*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 793\/122*((-12)\/(-20) - (-26)\/(-10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(1\/3)*j**2)\/(j**1\/j**(-5)))**10)**46 assuming j is positive.\nAnswer: j**(-5060\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14870016 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2319*-0.4.\nAnswer: -927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.7 and 1035322.\nAnswer: 1035322.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*i - 10*i + 126 = 0. Let f(v) = v**2 + 9*v + 5. What is f(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 11) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -17, -9, 1, 13, 27, 43?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30 + -18. Suppose 0 = -s*n + 9*n. Solve n = -6*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s + 314 + 312 - 938 + 312. Let k(h) = -2*h + 722. Determine d(k(m)).\nAnswer: 2*m - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 - 9*g**2 + 8*g - 4. Let z be j(-9). Let d = -23 + -107. Let n = z - d. Is 27 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 263*j + 62 = 259*j, -111 = -18*r - 3*j + 126 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 4*o + 4904, -p + o = 3*p + 3940. Which is smaller: -983 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 664 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2 (c) -1 (d) 181 (e) 2\/9 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = -4*p, 3*z = z - 4*p + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -16, -2, 18, 44, 76?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18 - (23 + 0)) + (-7 - 0 - -3) + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3.9 times -5290.25?\nAnswer: -20631.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -270 = 10*l - 12*l - 2*u, -3*l - 2*u + 402 = 0. Calculate the least common multiple of l and 121.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173466 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2.0432 rounded to 2 decimal places?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the third derivative of 0*j**3 - 1\/30*j**6 + 0*j + 0 + 29*j**2 + 2\/15*j**5 + 1\/2*j**4. Factor b(o).\nAnswer: -4*o*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - (-2 + 0)) + (24 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 + q. Let k be z(1). Suppose -k*o + 31 = -35. Suppose -2*i + 386 = 4*v, 5*i + 212 = 3*v - 97. What is the remainder when v is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 9 = 9*u - 8*u, -3*g + 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (917\/(-119))\/(0 - 567\/39). Let t = m - -5\/714. What is the common denominator of -151\/30 and t?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k**2 + 318*k - 39883. Determine f(83).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -54*(-208)\/(-32)*(-10)\/(-130)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t. Let a be q(0). Let o(w) = -w**3 - w**2 + w. Let v be o(a). Does v = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 8*f**2 - f + 1. Let m be i(1). Let v = m + -8. Suppose 3*y = 10 + 17. Solve 2*p - 10 = 0, s = -p + y - v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25186399627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -172\/7 + 262\/7*l + 2\/7*l**3 - 92\/7*l**2.\nAnswer: 2*(l - 43)*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.3 and -18815397?\nAnswer: 18815397.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of -r**5\/5 + r**3\/6 + r**2\/2 + r. Suppose -3*w + 6*w + 1 = 2*w. Give j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -1 - (0 - -5)) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19163 - 232404 + 120*p - 121*p - 63074.\nAnswer: -p - 314641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 7, b: 5, w: 3, z: 2, h: 1}. Give prob of picking 1 h and 1 z.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 511168 by 31948.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.035 - 0.165. Let m = -5.045 - -0.045. Sort k, -4\/7, -1, m in descending order.\nAnswer: k, -4\/7, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -61\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.23749 + 1832.6.\nAnswer: 1834.83749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 48 and 5862\/119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -45e8 + 2?\nAnswer: -45e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2*g**3 + 5)*(g + g + g) + g**4 - g**4 - g**4 + 18596*g**2 - 18596*g**2 - 87*g**4.\nAnswer: -82*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/198495 and 139\/79398.\nAnswer: 396990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1621 - 596. Suppose -86*n = -81*n - r. Calculate the greatest common factor of 82 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 292 a factor of 7961380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 134 - 14. Let w = -112 + p. Let n(a) = 3*a**2 + 17*a + 9. What is the remainder when n(-7) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.12706 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 44676 (base 9) to base 12\nAnswer: 15243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/(-22) + (-3 - (-302)\/88). Is q <= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 218 is divided by 108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 190 - 878 = -4*j. What is the remainder when j is divided by 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -20196*p**2*z - 2426*p**2 + p*z + 11*z + 2132462 wrt p.\nAnswer: -40392*p*z - 4852*p + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 334 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 2*w + 24 = -2*w, -2*q = 4*w - 24. Let x(k) = -k**3 + 7*k**2 + 10*k - 8. What is the smallest common multiple of q and x(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-101 - -102)*1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*z + 17*z - 3*i = 2, 5*i = -5*z. What is the closest to z in -3\/8, 1, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 4*c + 2. Let x be a(4). Let m(s) = s**2 + 3*s. Let d be m(-3). Solve -5*g + 2*y = x, 4*g + 4 = -y - d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (640 - 640 - 282*f**3)*(2 - 3*f**2 - 2).\nAnswer: 846*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 2*m - 28 = 0, -156*b - 2*m + 453 = -546*b - 307 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*10\/3 + -3)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in 0.3, 7\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 33*l**4\/2 + 2043*l**3 - 372*l**2.\nAnswer: 3*l**2*(l + 124)*(11*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -487 - -599. What is the remainder when g is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 241*h - 1200. Is a(15) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**2 + 62895*j\/8 - 686037\/4.\nAnswer: -3*(j - 22)*(8*j - 20789)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-13)\/(w\/w**(-11)))\/((w*w**12)\/w)**(3\/23) assuming w is positive.\nAnswer: w**(-611\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 25147 + -22615. What is the remainder when t is divided by 363?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117536?\nAnswer: 2, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 236315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 <= -1624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2 - 6*b + 16.\nAnswer: -(b - 2)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/19584 and 15\/103364?\nAnswer: 506070144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-57)\/(-152))\/((-2)\/(-16)). Suppose -4*f - 4 = -5*f + w*x, -4*x - 17 = -3*f. What is the remainder when 67 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.79 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -3*l + 4*a + 18, 4*l = -4*a + 8. Solve -4*k + 2 = -4*r + 6, l*r = -3*k - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23.7 + 24. What is the nearest to 2 in 4, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44 - 137\/3. Which is the nearest to 3\/14? (a) l (b) 3\/7 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.67922ms to microseconds.\nAnswer: 91679.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -3, -2\/9, -4\/5, 183.3 in ascending order.\nAnswer: -3, -4\/5, -2\/9, 11, 183.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) 35\/4 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j**4 + 3*j**4 + 388 - 386 - 934*j**3 - 837*j**3 to k*j + i + h*j**2 + z*j**3 + r*j**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes before 12:33 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 48 (base 15) to base 4.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -330 or -125985\/382?\nAnswer: -125985\/382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 356\/623 - (-34)\/(-35). Is h <= 33\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 8*o**2. Let s(r) be the second derivative of 0*r**2 + 1\/6*r**4 + 0*r**3 + 0 - 11*r. Give g(s(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -31\/6 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of -14*o**2 - 5. Let g(m) = -3*m**2. What is g(u(n))?\nAnswer: -2352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**2. Let z(k) = -147*k**3 + 3*k**2 + k - 1. Let m(i) = -2*n(i) - z(i). What are the prime factors of m(1)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 96044.000089943 + -96044. What is l rounded to six dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 180 a factor of 32394240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.010744 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 104 (base 5) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 710062 is divided by 44342.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, i: 1, m: 1, g: 1, o: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**25\/f*f)\/f**(-16))\/(f\/(f*f\/(f\/(f*f**(-19)\/f)*f))*f)**0 assuming f is positive.\nAnswer: f**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5752293272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.3 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 - 6. Let c = 163 - 162.9. Suppose 0 = -3*r - 5*p - 25 + 6, 5*p + 21 = -2*r. Sort c, m, r in ascending order.\nAnswer: c, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 145459580 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -482 + 481. Which is the nearest to t? (a) -27 (b) 4 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 4147166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2*y - 2. Let i be r(-3). Let w be 2 + (6 - (i + -2)). Suppose 5*s - 40 = 4*d - w*d, -5*s + 2*d = -60. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3960144 and 3293?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 13\/4 - 3\/12. Is ((-771)\/9)\/((-1)\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 8 = 3*y - b, -3*y = 2*b + 2. Let h be 2\/(-6) + 21\/9. Let k be ((0 - 0)\/h)\/y. Solve -4*c + 3*c - 4 = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 6*w**2 - 54*w + 10. Calculate the smallest common multiple of 8 and o(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + 3*z + 5*i = -29, z + 4*i = 23. Suppose p - 7 = z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, w: 1, h: 8, s: 4}. What is prob of picking 1 x and 1 s?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of -l**6\/20 - 2*l**5\/15 - 11*l**4\/24 + 4*l**2. Let c(v) = 2*v**3 + 3*v**2 + 4*v. What is 11*c(j) + 4*d(j)?\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 65089 + -42289. Let t be (-3)\/2*(-8)\/3. Suppose t*n - m = -0*n. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 213370 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -4*i**2 + 11*i + 2. Let v(z) = -2*z**2 + 5*z + 1. Give 3*q(j) - 7*v(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 4*p**5 + 12*p**4 + 15*p**3 + p**2 + 3*p. Let s(a) = 4*a**5 + 12*a**4 + 16*a**3 + 4*a. Let n(y) = -4*j(y) + 3*s(y). Determine b so that n(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 435, 4, 1069, 5, 0, -5, -2 in increasing order.\nAnswer: -5, -2, 0, 4, 5, 435, 1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q. Let b(s) = -319*s. Give b(u(v)).\nAnswer: 319*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2062*y**4 - 2*y**3 + y**2 - 2*y + 2726 wrt y?\nAnswer: 49488*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = o, -2*c - 2*c + 5*o + 32 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -1574*c - 18890. Determine h(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*o = -8*o - 1890. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 + 20*l + 19. Let y be j(9). Let w = y - -64. List the prime factors of w.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -118 in 8, -6, 4, 3, -0.9, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 3*t + 9, 0*r - 5*t - 16 = -2*r. Let n = -3106 + 3143. Factor 0 + 6 - 34*h**3 + n*h**r - 9*h.\nAnswer: 3*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -22821 by -22821.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 7*s - 2*v - 16 = 0, 5*s + 4*v = -14. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -196*j**4 - 14560*j**3 - 18456*j**2 - 4384*j - 292 = 0. Calculate j.\nAnswer: -73, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -5*s**3 + 2*s**2 + 5*s + 6. What is the remainder when u(-4) is divided by 3\/4*158\/237 + (-6669)\/(-78)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 69665848 + -23\nAnswer: 69665825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 + 89 = 4*h. Let m = 20 - h. Calculate the smallest common multiple of 2 - (6\/3)\/(-2) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 3, 0, 149, -23.\nAnswer: -23, 0, 1, 2, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 - 23215?\nAnswer: -23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 464722, 929350, 1393984, 1858624, 2323270?\nAnswer: 2787922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of ((-403830)\/(-60) + 41)*2\/((-2)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-9))**(22\/9)*(g\/g**(-10\/3))\/g*g*g*g\/g**39*g assuming g is positive.\nAnswer: g**(-161\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is z in 53*z**4 - 9*z**3 - 6*z**5 + 15*z + 60*z**4 + 33*z**2 - 146*z**4 = 0?\nAnswer: -5, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -257*f**3*j**2*s - f**3*j - 4*f**3*s + 2*f**2*j**2*s - f*s + 24*j**2 + 58*j wrt j?\nAnswer: -514*f**3*s + 4*f**2*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 944822 is divided by 641.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 35*n - 102. Give i(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9614798 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -3, -24, 0 in descending order.\nAnswer: 0, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.4 (c) 2 (d) 0.02 (e) -0.4 (f) 3 (g) 71599\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -6*t**2 - 41. Let p(w) = -45*w**2 - 1803. Let o(u) = u**2 + 39. Let d(y) = 93*o(y) + 2*p(y). What is -5*d(l) - 3*h(l)?\nAnswer: 3*l**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aae when three letters picked without replacement from {a: 7, e: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the first derivative of 0*o**2 - 23 + 2\/3*o**3 + 0*o. Let h(b) = 5 - 5 + 0 - 18*b. What is p(h(c))?\nAnswer: 648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -318, -582, -728, -696, -426, 142, 1068, 2412?\n\"Answer: 10*t**3 - t**2 - 331*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1725b - 28a9?\nAnswer: -19b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + 0 + -11 + (1 + 12 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3112022 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 2*q**2 - 12*q. Let l(a) = 1. Let o(k) = -2*k - 3. Let b(u) = -3*l(u) - o(u). What is b(t(j))?\nAnswer: 4*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus 21.871774?\nAnswer: 21.371774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 695*v + 175500 + 115060 = -3845*v for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1402, -72.\nAnswer: -72, 5, 1402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -8*t + 14*t. Let h(d) = 5 - 7 + 4*d + t. Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the second derivative of s**4\/12 - s**2\/2 - 7*s. Calculate o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/25036 and -93\/748?\nAnswer: 425612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-v**2 + 6*v**2 + 3*v**2)*(-9*v - 13*v - 3*v) to the form u*v + p*v**3 + t + l*v**2 and give p.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/44 and -121\/150.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-62 - -12) + (10 - (10 + -6)) - -11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 221*q**3 + 8*q**2 - 305*q - 7?\nAnswer: 1326*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1\/102 - -229\/51. What is the common denominator of k and -39\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/((-4)\/(-10)*5). Suppose b = -5*k + 279 + 1. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 210515719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 33*m + 16. Let s(q) = 3*q - 3. Determine h(w) + 5*s(w).\nAnswer: 48*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 4\/7, -0.24, -6, -1 in decreasing order.\nAnswer: 3, 4\/7, -0.24, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12661?\nAnswer: 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -289*f + 295*f - 66 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - 0)\/(-2)*1*202\/1616.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = m - 2, -4*z + 2*z = 0. Let b be 970114\/(4\/m) + 1. Suppose 5*q - 1014942 = b. What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3432*k**2 - 13*k - 3430*k**2 - 3424*k**2 + 10283*k**2.\nAnswer: -3*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 1 = 37. Suppose -15 = -x + g. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence af when two letters picked without replacement from aaf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -m**3 - 10*m**2 + 45*m + 340. Calculate h(-8).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 6591381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 100310, 401095, 902404, 1604237, 2506594, 3609475, 4912880?\nAnswer: 6416809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 3. Let m be ((-2)\/3)\/((-9)\/27). Solve -4*r + 5 = r, -5*r + a = m*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*g + 6*g + 2. Suppose 4*d - 24 = 4*p, 2*d + 2*p + 10 = g. Suppose 0 = q - d - 520. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 7*z**2 - z - 8. Let j(m) = -3327*m**2 + 4*m - 1665. Let b(t) = -j(t) - 4*k(t). What is the first derivative of b(h) wrt h?\nAnswer: 6598*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -24*r**2 - 12*r**2 + 47*r**2 + (0 + r + 0)*(-1 + 1 + 2*r) - r**2 + 2*r**2 + r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -138 (b) 0.5 (c) 4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 955625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1774f8 (base 16) to base 13.\nAnswer: -41a939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.009 - -0.00900649. Round a to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 7481 and 0.2.\nAnswer: 7481.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 117*i**2*j**2 - 2*i**2 + 5925*j**2 + 190425*j wrt j.\nAnswer: 234*i**2 + 11850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 + -2. Suppose 5*c = 2*g + g + 108, -8 = -2*g. Calculate the greatest common divisor of c and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2\/46091 - -230463\/184364. What is the third biggest value in b, 2\/5, 4, -2, -0.0295?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8594 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 13 (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -18*j**3 + j**2. Suppose 3 = 14*o - 11*o. Give y(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20329 - -36530. What are the prime factors of k?\nAnswer: 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mj when two letters picked without replacement from {d: 2, j: 5, m: 4, l: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 23918308 and 63004?\nAnswer: 454447852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + b55161?\nAnswer: b5515a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 123982 is divided by 432?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 606113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -4003*a**2 + 6886*a**2 - 4096*a**2. Let m(v) = -7*v. What is o(m(r))?\nAnswer: -59437*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -6925.5 times 23?\nAnswer: -159286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 795 - 792. Let i(g) = -3*g**2 + 3*g + 3. Calculate i(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7541042*k**2*v**2 - 126495*k**2*v - k**2 + 2*k*v**2 + 4*k*v - 3 wrt v.\nAnswer: 15082084*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 + -22. Put 4, -3, o in descending order.\nAnswer: 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 235 - -61443?\nAnswer: 62011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-3\/10)*b*b**10\/b*b)**(-20) assuming b is positive.\nAnswer: b**(-214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 2*s**3 + 3*s**2 - 13*s - 4. Let f(y) = y**3 - y**2 - y + 1. Let j(v) = 3*f(v) - q(v). Calculate the smallest common multiple of j(5) and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -3*l**2. Let h(x) = 19*x - 83*x + x + 33*x. Determine a(h(q)).\nAnswer: -2700*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(112) + 4 - (sqrt(7) + sqrt(7)*3 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 5*f - 12. Let b(q) = 161*q - 321. Let v be b(2). Calculate o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -367 - -384.86. Let o = 6.54 - m. Round o to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 + 7*y**2 - 11*y. Suppose 37 = -3*c - 4*f, c + 5*f + 55 = -4*c. Is g(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 25404?\nAnswer: 254040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 6:31 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 388265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3.9 in -2\/3, 7, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 + 49. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k + 34. Let m(f) = 6*f + 240. Determine -27*h(q) + 4*m(q).\nAnswer: -3*q + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 7*o + 2 - 2 + (9*o - 4*o - o)*(-2 - 5 + 5) as q + f*o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2921*x**6 + x**2 - 568*x?\nAnswer: 350520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 3*f**3 + 21*f**2 - 33*f + 143. What are the prime factors of r(16)?\nAnswer: 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-57)\/(-60) - (3 + 45\/(-20))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*d + 288 = -6*d. Suppose -v - d = -21. Suppose v*q = 2 + 34. What is the least common multiple of q and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(5 + 3*-1*sqrt(720)*2) + 3)*-2*-2)**2*1.\nAnswer: -82944*sqrt(5) + 3734784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.5, 0.2, -1, -0.31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -120*a*j**3 - 16*a*j**2 - 4*a + 5372965*j**3 - 79417*j**2 + 2*j wrt j.\nAnswer: -720*a + 32237790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 + 41*s**2 + 24*s + 984. Give i(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m + 2 = -4*d, -3*d = -3*m + 1141 - 1138 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-5\/2)\/(k*k\/(k*k**(-4\/21))*k))**15)**(2\/135) assuming k is positive.\nAnswer: k**(-197\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -121 (base 6) to base 11\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9490 + 3?\nAnswer: 9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 326 * -0.084\nAnswer: -27.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 11*i**2 - i - 11. Let d(z) = -6*z**2 + z + 6. Suppose -39*p + 10*p = -493. Suppose p*t - 56 = 9*t. What is t*d(x) + 4*y(x)?\nAnswer: 2*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 2:21 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54857, 109712, 164565, 219416, 274265?\nAnswer: 329112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -51 + 58 + -2 + -31.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**3\/5 + 4*n**2 + 2226*n\/5 - 20196\/5 = 0 for n.\nAnswer: -33, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*n + 13*n + 1 - 5*n.\nAnswer: 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3266*g - 5338 = 2952*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 0.5, 2\/7, -30?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1516106213 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 m be (-12)\/9*(-27)\/(-6). Let y be (-2998)\/(-4) - (-3)\/m. Let l = 1120 - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**2 + 9*v + 14. Let d be y(10). Does 12 divide 56\/d + 2 - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -28?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*z + 22*z - 66 = 0. What is the least common multiple of 4\/6 - 22\/(-3) and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 1\/4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1212984*d**4 - 2015415 with respect to d.\nAnswer: 4851936*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 343 = 3*b, -q - 73 = -2*q - 5*b. Let k(g) = 62*g + 9. Let s be k(-1). Let z = s + q. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -167*w**2 + 2*w - 3*w - 337*w**2 + w - 1263*w**2.\nAnswer: -1767*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 6025 - 4193 = -229*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqiqiqyiyqii. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 92 = -4*y. Let p(a) = -a**3 - 23*a**2 - a - 11. Calculate the remainder when y is divided by p(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3536 and 17680.\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 137 = -11. Let r = g - -88. Suppose 0 = 8*a - r*a + 3522. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -53*k - 57*k + 20 + 4*k**2 - 5*k**2 + 97*k. Give m(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7387290 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 48*b**2 - b - 3. Let g be ((-16)\/3)\/4 - (-20)\/(-30). List the prime factors of i(g).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aqaa when four letters picked without replacement from {q: 1, r: 5, a: 8, j: 2}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 52325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 74*f - 71*f + 5*w + 28, 2*f + 5*w = -32. What is the biggest value in -5, -2, 122, 0, f?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/198*(624\/32)\/(-13)*3.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 126 = -6*t. Suppose l + 64 = 2*s, 106 = 2*s + 2*l + t. Suppose -4*p + s = -8. What is the least common multiple of 5 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -38 - -55. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + 10. Let z = -1377 - -1415. Calculate the lowest common multiple of z and b.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*6*-1*sqrt(228)*-1)\/((4*(sqrt(144)*-2 - sqrt(144)))\/(sqrt(144)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -k - 2*k + 0*k + (1 + 0 + 0)*(-k + 1 - 1) - 3*k + k + 0*k + (-3*k + 2*k + 0*k)*((-1 + 3 - 4)*(-2 - 2 + 2) + 13 + 6 - 7).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that 3*w**2 - 24*w + 45 = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 1 + 41*g**2 + 3 - 2*g to the form o*g**2 + m + s*g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2110201 - 21012120?\nAnswer: -100200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*p + 31*p - 160 = 0. Calculate the remainder when 246 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*l**2 - l**6 + 19*l**2 - 8*l**6 wrt l?\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 621, 626, 633, 642?\n\"Answer: c**2 + 2*c + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, -224, 5, 6.\nAnswer: -224, -4, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 2079, 2067, 2103, 2199, 2367, 2619, 2967?\n\"Answer: 2*w**3 + 12*w**2 - 62*w + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -858 + 210 = -18*r. Solve 0*w - r = -9*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -21 + ((-4)\/2 - -1). Let h(c) = -41*c - 205. Let f be h(-4). Let s = b - f. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1672583)\/(-1658760) + (-4)\/30 + 0. Factor -v*x - 1\/8*x**4 + 7\/8*x**3 + 9\/8*x**2 - 1.\nAnswer: -(x - 8)*(x - 1)*(x + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes after 9:50 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nf when two letters picked without replacement from njjgjjfnfnfnn?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/452375 or 1?\nAnswer: -2\/452375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -214*s - 28466 = 1515*s - 71320 - 72989 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(208)*-4 + 4 + 0 + sqrt(13).\nAnswer: -15*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -2\/9, -18, -0.5 in ascending order.\nAnswer: -18, -0.5, -2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1131510 - -4?\nAnswer: 1131514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 7) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 76\/39 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*d - 8708 = 7240. Let f = d + 1777. Suppose z + 16 = 3*l, -4*z - 4 = 3*l - 0*z. Solve -12 = -l*u, -f*c - u + 3 + 0 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of i**2\/2 + 9*i + 1. Give a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - -3 - (-6 - 5). Let p = g - -77. List the prime factors of p.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 61668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (4\/6 - 1)*13860\/(-880) and 71\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 972 + 3.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3014, -3136, -3334, -3644, -4102, -4744, -5606, -6724?\n\"Answer: -6*j**3 - 2*j**2 - 74*j - 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.22 in -6.6, -3, -0.4, -1\/3, -1\/46199?\nAnswer: -1\/46199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1\/14, 3\/8 in increasing order.\nAnswer: -1\/14, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 - x**4 - x**2)*(4*x - 4*x - 2*x) + 2*x**5 - 2*x**5 + 2*x**5 + 1 - 1 - x**5 - x**5 - x**5 + 3*x**5 + 22*x**5 + 24*x**5 - 9*x**5.\nAnswer: 41*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 2*k**2 + 2*k**2 + k**2 + (5 + 3 - 1)*(-16*k**2 + 4*k - 4*k).\nAnswer: -111*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1009854*t**5 + 4*t**4 + t**3 - 1571*t**2 + 1924*t wrt t.\nAnswer: 60591240*t**2 + 96*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 0*g - 15 = -2*v, -14*v = 135*g - 10*v - 3089 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + 6*x + (-3 - 2 - 4)*(-2*x - 3*x + 3*x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f**2 - f**2 - 910*f**3.\nAnswer: -910*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - -1. Suppose -4*j + 9 = -7. Solve 0 = 3*c - m*c - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 113923.\nAnswer: 37, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2025, 2037, 2057, 2085, 2121, 2165, 2217?\n\"Answer: 4*s**2 + 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(896)*-1)\/sqrt(7)*1.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -z**4\/4 - 257*z**3\/4 - 4160*z**2 - 4096*z = 0. Calculate z.\nAnswer: -128, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0*(14\/(-24) - 22\/(-88)). Suppose v = 34*t - 30*t - 360. Calculate the smallest common multiple of 135 and t.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 5725 = -3*v + 38300, -v + 5*l = -10884. What are the prime factors of v?\nAnswer: 19, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 - 2*n + 1. Calculate r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 4*s - 13 = 2*s, -3*p + s + 16 = 0. Let y = 12 + -6. Let o be y + 1 + -1 + -3. Sort -3, p, o.\nAnswer: -3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -13\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60455 and 66875.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 4*t + 92 = 0, 4*c + 2*t = -0*c + 190. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 2.1. Let x = -2693 - -2694. What is the closest to n in 0.4, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54644071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 3*p**2 + 31*p + 171751. Let r(y) = 2*y. Calculate r(q(w)).\nAnswer: 6*w**2 + 62*w + 343502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be (12\/(-11 + 23))\/1 - 4\/2. Let g be -6 + ((-1)\/1 - -2). Sort 0, g, i in decreasing order.\nAnswer: 0, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -362*x - 215*x - 814*x - 2504*x - 2502*x.\nAnswer: -6397*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 2*a**2 + 1. Let g(p) = -3*p**2 + 16*p - 6. Calculate -g(m) - 3*l(m).\nAnswer: -3*m**2 - 16*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -g - 0*g. Suppose -12 = -g*i - 3*d + 49, 0 = -i + d + 33. Suppose -i*y = -30*y - 80. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5)*3 + 1 + -3)*6.\nAnswer: -12 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -2554 by 4912.\nAnswer: -1277\/2456","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -3*i**3 + i**2 - i - 1. Suppose 5*j + 2 = -3. Let v be d(j). Suppose q - 2*o - 22 = 0, 45 = 3*q + 2*o - 5*o. Solve 4 = v*c - q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -3545 and 2.\nAnswer: -3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -508, -509, -510, -511, -512?\n\"Answer: -y - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1129 - 2*y**2 - 436*y + 210*y**3 + 548 - 208*y**3 + 2*y**2 wrt y?\nAnswer: 6*y**2 - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (9 - 0)*(-8)\/(-24). Suppose -x*k - 4*k + 42 = 0. Suppose 0 = t - 8 - 7. What is the highest common factor of k and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13 + -11. Find the second derivative of 2*u**5 - x*u - 2*u**5 - 2*u + u**5 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = j - 4. Suppose j*o - v + 2 = 0, -5*o - 3*v = 2*v - 10. Does o = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18126020*t**4 + 18810199*t wrt t.\nAnswer: 217512240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, r: 2, p: 1, b: 1}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 2*v**3 + 0*v**3 + 3 to z*v**3 + j*v + n + w*v**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (24\/18)\/((-2)\/(-24)). Suppose -3*u = -4 + a. Let q(m) = 1. Let g(k) = k + 2. What is u*q(t) + g(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -87 - -66007.\nAnswer: 65920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 14 = -2*y. Sort y, -5, 3.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.0299994 + -2.03. What is q rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 2*o - 85 = 0. Suppose 2*s + 0*s = p - o, 0 = 4*p + s - 68. Suppose 2*v - 3*v = -p. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8242 and 17088836.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, -107, -283, -535, -869?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1*(4\/(-4) - 6)*(-2)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 4, -3, -6 in decreasing order.\nAnswer: 4, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 42894*t**5 - 39*t**2 - 43726*t**5 + 211*t**2 wrt t?\nAnswer: -49920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 76460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 216, 435, 664, 903, 1152, 1411, 1680?\n\"Answer: 5*z**2 + 204*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes before 12:18 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2235055 + 15?\nAnswer: -2235040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 - 8. Suppose 5*g - 4*y + 0 - 27 = 0, 6*g - 5*y = 33. Let l(n) = -n**2 + 4*n + 1. Let s be l(5). What is the second smallest value in g, s, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3575*g + 3570*g - 7111*g + 8)*(0*g**2 + 2*g**2 - 3*g**2) in the form m*g**2 + v*g**3 + n*g + t and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2139533, 8558134, 19255803, 34232540?\nAnswer: 53488345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand t + 3*t - 2*t + (3 + 4 - 16)*(-2*t + 2 - 2) - 5*t + 6 - 6 - 2*t + 3*t + 4*t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.66 + -9.66. What is the closest to 0 in s, -2, -4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 57 = -189. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -85, -0.045, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -13392 = 3938*f - 4370*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 - -6)\/3 - -1 - -5273. Is t\/5 + (-3)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 525552169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 189, 385, 577, 771, 973?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 6789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2 - 14*b.\nAnswer: -b*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6704 greater than -1394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -218\/57 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 3 (b) 5 (c) 2321 (d) 94 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2295 = -g - 2289 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3012488268.\nAnswer: 2, 3, 199, 223, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93298.\nAnswer: 2, 46649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 87\/293500 and 61\/24595300.\nAnswer: 122976500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 0*h + 3*h + 6 = 0, -2*h = 4*d + 4. Suppose -c + 2*c - 4 = d. Solve c*y = 3*j - 20, -j + 5*y + 26 = 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 387 is divided by 209.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -393372, -393371, -393370?\n\"Answer: i - 393373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 6:02 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**2 + 8*m - 7. Let y be p(-9). Suppose -4*f - j + 77 = 0, f + y*f = -3*j + 69. What is the lowest common multiple of 34 and f?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1754748?\nAnswer: 2, 3, 79, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*u = -20*u + 11. Let b be ((-8)\/(-12))\/(2\/(-30)*-1). Do u and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -37*s**3 + 12*s**3 - s - 1 + 26*s**3. Let n(z) = 16*z + 30. Let y(l) = -8*l - 16. Let t(x) = -4*n(x) - 7*y(x). Calculate 8*b(r) - t(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 112097651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -219a3 - -1186?\nAnswer: -2081a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.6 + -0.6. Let x = c + -0.8. What is the nearest to x in -3, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -171767*b**4 + 171778*b**4 - b**2 - 15*b**3 - 2*b**3 - 45*b - 2*b**2 wrt b?\nAnswer: 264*b - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 317005 - 158509 - 158496 + 1529*v**3.\nAnswer: 1529*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -28425 - -46544. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -27221*-0.27194\nAnswer: 7402.47874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -t - 6*d - 3, 0 = 2*t + 5*d + 21. Suppose 0 = -l + t, -2*l = -h + 37 + 85. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**6*w)\/w)\/(((w**(-2\/5)*w)\/w)\/w))\/(w**(-2)*w**(-3\/4)) assuming w is positive.\nAnswer: w**(223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2618 and 51799.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 394036.8l?\nAnswer: 394036800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9180427 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of x**6\/120 - x**5\/12 + x**4\/24 - x**3\/3 - 8*x**2. Let m be r(5). Let c(i) = 11*i**2 - 4*i + 3. What is the tens digit of c(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -3 + a**3 - 2*a**2 - a**2 - 2*a**2 + 0*a**3. Let y be t(5). Does 14 divide (y + 50)*2\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -22*c - 74 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3.158 rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*g**2 - 4837740*g*y**3 - 16*y**3 - 84*y**2 - y + 133 wrt g?\nAnswer: 4*g - 4837740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -481 + 109 = -93*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -3*v**3 - v**2 - 2*v - 1. Let m be t(-1). Suppose -2*u - 23 = -m*u. Let p = -17 + u. Solve j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 3 = -m. Which is the closest to -1? (a) -7 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**4 + 0*d**3 + 0*d**3 + (-2*d**2 + d**2 - 2*d**2)*(-9 + 9 - 32*d**2) + 3*d**3 - 3*d**3 - d**4 + 3*d**4 + 0*d**4 - 5*d**4.\nAnswer: 91*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -12639461 greater than -12639460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -2*n**3 + 9794*n**2 - 9792*n = 0.\nAnswer: 0, 1, 4896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 714\/(-18)*(26 - 4700\/175)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pzzzsppesdsesp. What is prob of sequence sp?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4528 at least as big as 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18 + 14)*(-14)\/8 + 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.12 (b) 1\/3 (c) -0.2 (d) 106 (e) -31\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -159528744 divided by -13743\nAnswer: 11608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 563 - 7895\/14. Let t = -10\/7 - i. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/3*(-12)\/(-70)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, -616, -6.\nAnswer: -616, -6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, j: 2}. Give prob of sequence joo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, -3489, -8\/25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4888033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 11216 divided by 2804\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (9*x**3 - 127*x**3 + x**3)*(-14 + 5 - 3)*(5 - 5 + 1) to z*x + h + f*x**3 + q*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/4 + (-9)\/15. Let z = -6.4563 + -6.5437. What is the biggest value in z, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l**3 + l**2 + 2 - 3 + 0. Let k be ((-217)\/49 - (-6)\/14) + 3. What is p(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 1 + 0)*(0*w**2 + 4*w**2 - 2*w**2) - 3*w**2 + 4*w**2 - 2*w**2)*(48 + 597 + 44).\nAnswer: -2067*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-9)\/27)\/((-1)\/(-6)). Let m = 0.499 + 0.001. Let y = -83 + 80. Which is the fourth biggest value? (a) 5 (b) r (c) m (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - o = -d - 1, -5*o = -5*d + 25. Suppose 0*j + d*j = 8. What is the remainder when 7 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**5 - 3*g**4 - 30*g**3 - 25*g**2.\nAnswer: g**2*(g - 5)*(g + 1)*(2*g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*y + 108 = 106*y. Let w(g) = -3*g**2 + 10*g - 2. Determine w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**2 + 25*a + 90. Let g be v(28). Let y(q) be the first derivative of -g + 2\/9*q**3 + 4\/3*q + q**2. Solve y(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*r - 8 = 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 4*t - 50. Which is smaller: t or 25?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 2 - 22, b = 4*w - 120. Suppose 2*r + 2*v - 148 = 0, 0 = 3*r + 2*r - 5*v - 320. Let j = w + r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 1597433118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0, 5, 1258, 10.\nAnswer: 0, 1, 5, 10, 1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2869654002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.4 + -2. Let z = j + -0.5. What is the closest to z in 0.4, 3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -0.01 (c) -3\/5 (d) -2\/345139 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 115934 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 6 = -0*v - 3*v, -24 = -4*u - 3*v. Let j = u - 3. Suppose 2*z - z = j*o - 2, 4*o - 2*z = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)*-4*2 + 3*(-1*sqrt(88) - sqrt(88)))\/(3*sqrt(48)\/sqrt(6) + sqrt(72)*-3).\nAnswer: 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-6)\/(-24)*-1)\/(1\/4). Sort -32, b, 2 in descending order.\nAnswer: 2, b, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14 - 4*y + 3*y**2 + 4*y - 5*y**2 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -5*v + 337 + 70, 0 = -4*v + 3*a + 328. Suppose 5*f - 36 = v. Let y be -1*(48\/f - 2). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**2. Let s be f(3). Let z(v) = -138*v**2 - 7*v + 13. Let h be z(s). Let r be (1 - (-1)\/1) + h. What is r rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 + 85*b**2 + 317*b + 5820. Give j(-82).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 8) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 21*o**2 - 13 + 2 + 7 - 5*o + 6 in the form d + x*o + n*o**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.2343 or -152\/97?\nAnswer: -0.2343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**3\/5 + 7872*m**2\/5 + 11060*m.\nAnswer: -4*m*(m - 1975)*(m + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5492*i*l**5 - 4*i*l**4 + 241834*i*l - 2*i wrt l?\nAnswer: -109840*i*l**3 - 48*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1017050290 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 71 = -21. Let y be (10\/(-15))\/(6\/(-153)). Suppose 5*c = y + m. Solve -d = d - c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 4, p: 7}. Give prob of sequence pplp.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*((-24)\/28 + 1\/(-7)). What are the prime factors of 3 - (-20 + 1) - (1 - f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - q + 234 = 0, -2*f - q + 39 + 117 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - (-3 + (-39)\/3). Is 16 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -6758, -13507, -20258, -27011?\n\"Answer: -v**2 - 6746*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 857140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -6813*g + 4*g**4 + 12426*g - 6373*g + 376*g**3 - 388*g**2.\nAnswer: 4*g*(g - 2)*(g + 1)*(g + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -6. Let h = f - -2.6. Let k = 0.5 - h. Which is the closest to -0.2? (a) k (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(-2)*1312152\/12*(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -c + 5*p, 3*c + 6*p - 19 = 5*p. Suppose 2*o + 0*o = -m + 5, o + 5*m = 16. Solve -c*t + o = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8821529 is divided by 1224.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 511 + -516. Is 42016\/(4 + 4) - r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5792 is divided by 396?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 6039776884.\nAnswer: 6039776876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c + 1. Let d(l) = -7*l + 4. Let p(r) = r + 1. Let j(i) = 2*i - 2. Let s(q) = j(q) - 3*p(q). Let n be s(0). Calculate n*t(m) + d(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 961*x = 965*x + 2*r - 98, -113 = -4*x - 5*r for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-one fifths of a kilogram in grams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (10740\/(-13425))\/((-11)\/10)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 45 - 44. Let t be (-5 - -4)\/(0 - -1). Let a = 0.41 + -0.01. What is the closest to t in a, 3, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/4*2)\/((-2219525)\/(-1154153))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*a = -78*a + 180. Suppose a*u - 493 = -2*u. Calculate the remainder when 49 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -93.06 - -95. Let c = 12.84 - o. What is c rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -108*h**2. Let d(v) = -4*v. Give d(j(r)).\nAnswer: 432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -173 - -114. Let k be (-2)\/(-3 + (-175)\/v). Let g = k + -38. What is the remainder when 57 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1580 + 3741 - 2272 - 2*p.\nAnswer: -2*p - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4090, -8135, -12180, -16225?\nAnswer: -20270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -41011 greater than -41006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = -5*s + 20. Let g(r) = -r - 1. Let v be g(2). Let f be (8\/(-4))\/(4\/10). Sort f, v, s in ascending order.\nAnswer: f, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -249088599 - -0.21.\nAnswer: -249088598.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 17*w**2 - 3*w**2 - w**2 - w**3 in the form l*w**2 + i*w + u + b*w**3 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, -1\/4, 5, -4, 0, -2\/7, -200 in descending order.\nAnswer: 26, 5, 0, -1\/4, -2\/7, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 6 = -2*m, 108*m - 14 = 110*m - 3*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -21*r**3 - 2*r**2 + 1. Calculate the lowest common multiple of 117\/26*((-115)\/69 + 3 + 4) and i(-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -491 - 6324 = -5*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -4*i + 3*i + 2*i. Let l(o) be the second derivative of o**3\/2 + 2*o - 13. What is c(l(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 45531\nAnswer: 1\/15177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 162, -9506, 0 in decreasing order.\nAnswer: 162, 2, 0, -9506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1002488 rounded to the nearest 1000?\nAnswer: 1002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 21*w**2 - 18*w. Let b be (-1)\/(-4) - (-162)\/24. Let n(o) = b*o**2 - o**2 + 3*o**2 + o - 10*o**2. What is f(l) + 18*n(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000447586228 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1 + (-4)\/3)*-18.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -368*m**2 - m**3 + 239*m**2 + 182*m**2 + 3*m.\nAnswer: -m**3 + 53*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 163799720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1501 + -873. Let f be (-2)\/23 + 6215\/(-1265). Is (i\/(f - -1))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 5\/1872 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the third derivative of q**6\/360 - q**5\/10 - q**4\/3 - 5*q**2. Let o(a) be the second derivative of k(a). What is the derivative of o(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 + (4 - 72) + 3 + 2 + -4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 165 divide 318945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1362 a factor of 3637902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.039 - 0.061. Let k(w) = -w - 14. Let z be k(-14). What is the smallest value in z, s, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -336\/5 smaller than -0.03483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 2*a - 17, 0 = -137*x + 134*x - 3*a + 27. Let m(f) = -f + 25. What is m(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.049 in -239, 18, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-22)\/(-55))\/(336\/(-105))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -11. Let o = 2\/5 - 1\/15. Let q = 1 - 0.5. Which is the closest to o? (a) w (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*l = -7*l - 52 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence haah when four letters picked without replacement from {a: 2, h: 2, s: 4}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 41857 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 35708, 55777, 75846, 95915, 115984, 136053?\n\"Answer: 20069*d + 15639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (32\/24)\/((-2)\/6). Sort 1, i, 5 in increasing order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 + -14. Which is the smallest value? (a) -2\/9 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 4*y + 0*y - 50 = -154, -2*a = -4*y - 109 + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 835.9325 millimeters in meters?\nAnswer: 0.8359325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.225 from 8.\nAnswer: 8.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (28\/63)\/(-1 - 29\/(-27)) + 3 and (6\/4)\/((-1)\/(-10))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 18.3.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/(-6)*(5\/10 - 0). Let i = -18 + 19.1. Let d = 2.9 + i. What is the nearest to f in -5\/6, d, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13? (a) 0.1 (b) 0.3 (c) -4 (d) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*u = -4*u - 2720. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - 1\/1 - -5. Solve -q - 2 = j*i - 2*i, -5*i = 4*q + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 598.4166l in millilitres?\nAnswer: 598416.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(140)*-2 - (sqrt(35) + (-1*sqrt(70))\/sqrt(2)))\/((sqrt(3087)*-2)\/sqrt(9)).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 76768 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-958)\/(-3832))\/((-1)\/4)*4\/44*-50.\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-210)\/(-504))\/(10\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fjc when three letters picked without replacement from ffffjfcfjffjfjfjffj?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/1251, 1\/3, -1\/5, -3\/2, 0.984 in descending order.\nAnswer: 0.984, 1\/3, 2\/1251, -1\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 10*i**2 - i - 6*i - 6*i + 6*i + 29. Is s(7) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from wcswqcjjcwsw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1111020212 - 10?\nAnswer: 1111020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i**3\/i))**(-27)*(i\/i**(-5))\/i**(-3\/2))**(-1\/9) assuming i is positive.\nAnswer: i**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7419792 = -6*j + 4544250. Suppose -2*d + j = 10214007. What is d rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5462, -10937, -16498, -22187, -28046?\nAnswer: -34117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 135, 93, 23, -75?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 106264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8415 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 20982, 1, -27 in decreasing order.\nAnswer: 20982, 1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/4*1\/10. Suppose 27503*j - 78 = 27464*j. Which is the closest to 2\/5? (a) j (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the third derivative of -l**5\/60 + 3*l**4 - 121*l**3 - 5665*l**2 - 2. Calculate z(60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2680, -4436, -6228, -8050, -9896?\nAnswer: -11760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 7021*o - 2496 = 6709*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-3)\/27*-3)\/((-1)\/(-6)). Sort -4, -1, 4, s in ascending order.\nAnswer: -4, -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2*1*2\/10. Let k = -25285.4 - -25285.3. What is the nearest to f in k, -1.1, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2501361?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*1*5*(-8)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3144670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/8, -38.208, 2\/5 in descending order.\nAnswer: 2\/5, -3\/8, -38.208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -3*t**2\/2 - 1359146*t + 906098 = 0. What is t?\nAnswer: -906098, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 97602676 rounded to the nearest one million?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 12720*r + 9849 - 34643 = 11593*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -6667 times -165.62?\nAnswer: 1104188.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1330420 and 125528?\nAnswer: 188919640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of -1\/3*h**3 - h - 2 - 9\/2*h**2. Give c(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -274049 divided by 179.\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -2*s**3 - 2*s**2 - 4*s. Suppose v = -6 + 3. Let c be p(v). Suppose 0 = -2*t + 4*t - 4*b - c, -2*t = -5*b - 46. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -4*j + 124148, 0*j + 16 = -4*j. Suppose 213*q - b = 204*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -534*v + 110*v + 6360 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002355465465 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 100*c - 100*c + 14*c**2 + (2 + 2 - 3)*(-c**2 + 2*c - 2*c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 241198457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w + 2. Let j(h) = -h. Suppose -630*i + 625*i = 10. Give i*j(s) - y(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-1\/2))**(6\/7)\/(r*r\/r**(3\/8)*r**(-3\/5)) assuming r is positive.\nAnswer: r**(-407\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence suz when three letters picked without replacement from {u: 6, s: 1, z: 1, q: 5, e: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the first derivative of 7*m**4\/4 - 6*m**2 + 447*m + 222. Differentiate l(y) with respect to y.\nAnswer: 21*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1277*p - 1698752 = 1239*p. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 720 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 4*c + 12. Let w be u(10). What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37853 = 31*f - 54062. Round f to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 2:57 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-232)\/36 - (0 - -1)*-6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -36 + 38. Find the third derivative of -5*n**6 + 3*n**6 - c*n**2 + 4*n**2 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 0 - 2 = 2*y, -17 = -i + 3*y. Let v = -7 + 10. Suppose 0 = -v*z, -2*b + b + 24 = -i*z. What is the lowest common multiple of 33 and b?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(45\/(-297)))\/(2 - 3). Let j(a) = 2*a + 1. Let q be j(2). Suppose 5*i + 31 = 2*b - b, 0 = 2*b + q*i + 13. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 36*z**2 + z + 66. What is c(36)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 261 times 1385.12?\nAnswer: 361516.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4669 = -k - 3*o + 4649, -5*o = 3*k + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 130116538 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 144 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-seven fifths of a gram in milligrams?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 111 + 22 = -7*g, -9*o - g + g = 2*g - 181 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -4 (c) -0.1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 13, 0.5, 8442, -4\/7, 0.47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + (9 - 7))*4\/6. Let v be (-6 - 4) + (2 - (3 + 1)). Let m = -7 - v. Sort f, 6, -5, m in increasing order.\nAnswer: -5, f, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1.3, -0.2, 2, -0.5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14325.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from xfxdffxxdxdj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.091 + 10.\nAnswer: 10.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149095 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/8*(36\/10 - 4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - i**2 - 16 - 3*i + i**4 - 2*i**3 + i**4 + i as l*i**3 + f*i + w + n*i**4 + a*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/81)\/(22268\/5274)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/18480 and 37\/657840.\nAnswer: 50653680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4329128 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is i in i**4 - 62328*i**3 + 971257222*i**2 - 1942327464*i + 971132569 = 0?\nAnswer: 1, 31163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1 and 2543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1b28 + 1909?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2480 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -2*d + 14. Let c be z(6). Is 327\/c*(-2)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/8 and -109\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-117)\/(-52)*(-4 + 13)\/(-270).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -9*t**3 + 2*t**2 - 5*t + 3. Let d(g) = 14*g**3 - 3*g**2 + 8*g - 5. Give 5*d(s) + 8*w(s).\nAnswer: -2*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 3*z = -83, -593*y - 9*z = -591*y + 257 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0 times -4.531\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 11, f: 3, s: 1}. What is prob of sequence jfs?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 1 = -4*z, -5*z = -0*z - f - 4. Let c be 7 + (-7 - -3) + z. Sort -8, 3, c in decreasing order.\nAnswer: c, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the first derivative of 2141*h**4\/4 + 148*h - 1408. Differentiate v(p) with respect to p.\nAnswer: 6423*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 5*a - 41 = -6*n, -5*n + 5*a - 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -20 (b) 5 (c) 22194.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 518 and 357938?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - 0. Suppose 4 = -3*v - 2. What is the units digit of v*x\/(-3)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1208731 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, d: 4}. Give prob of picking 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 239*y**2 - 24*y**4 - 11 + 30*y + 12*y**4 - 28*y**2 + 13*y**4 wrt y?\nAnswer: 12*y**2 + 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.857 + 2.557. Which is the closest to -1\/35? (a) 0.084 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sws when three letters picked without replacement from {s: 3, w: 3, c: 10, u: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -82.15 rounded to zero dps?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-455)\/(-49) + (-8)\/28. Let p = -7 + m. Solve c + p*c = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 59 + -53. Let h(k) = k**3 - 6*k**2 + 5*k - 3. Let g be h(6). Let m = g - q. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6\/34 + (-37892364)\/(-4182)?\nAnswer: 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b + 85 = 24*b + 2*b. Solve -2*w + 8 = b*i, 44*i = 49*i + 3*w - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -54114101 (base 7) to base 4\nAnswer: -101211032231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qln when three letters picked without replacement from qdnqqwlwlqndn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0004929 rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 + -48 - -15 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * -421173\nAnswer: -210586.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 161.93788 + -2.5?\nAnswer: 159.43788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of 2*c**3\/3 + 3936. Let i(v) = -295*v - 9. Determine i(q(b)).\nAnswer: -590*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be 9\/(-6)*2 + 3. Let y(i) = -i + 4. Let o be y(n). What is the third derivative of -o*k**3 - 45*k + 6*k**2 + 45*k wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 61314822 and 22?\nAnswer: 674463042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/11)*o*o*o**(-1\/4))**(-14)*(o*o**1)**(-5\/13)*(o**(-1))**(-1\/23) assuming o is positive.\nAnswer: o**(-149191\/6578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 0.05 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2160752*w + 64*w**3 - 2160752*w.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1100\/(12\/6) - -1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 PM and 8:38 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 436533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/9330 and -37\/2730891.\nAnswer: 27308910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**2 + 446*y + 2. Let s(w) = -20*w. Calculate s(l(n)).\nAnswer: 20*n**2 - 8920*n - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -6*r**2 + 1\/2*r**3 + 0 - 45\/2*r = 0.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 0, 1, -2\/3, 2\/7, -4, -138 in ascending order.\nAnswer: -138, -4, -2\/3, 0, 2\/7, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 - 6*j**2 - 8*j - 17. Let r be v(-7). Let c be 22\/143 - r\/234. Sort -0.1, -2\/5, c in decreasing order.\nAnswer: -0.1, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/20 and (-194)\/80 - (-10)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - -15) + (11 - (6 - 1)) + -34.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50363?\nAnswer: 50363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 0.4, -0.7, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 + 5*z + 2. Let q be m(6). Let c = q - -6. Let w(t) = -t**2 + 2*t**c - 4*t**2. Let g(p) = -p. What is w(g(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 20*s - 44 = 41*s + 43*s, -40*v - 5*s + 5 = -39*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor w**4 - 8119*w**3 + 32465*w**2 - 40577*w + 16230.\nAnswer: (w - 8115)*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1248 + -1024. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3415754245 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 6:58 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1\/14, -4, -11 in decreasing order.\nAnswer: 1\/14, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2793238435 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 - 15. Which is bigger: -9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/3)\/32*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43686 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*l + 46 + 54. Let s = -5 + 17. Let x be 16\/234 + s\/78. What is the third biggest value in l, x, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = 3*j + 5*m - 5, -9 = -3*j - 3*m. Suppose -5*t = -j*k, -6*k + 4*t = -3*k. Let b = 4 + k. Solve -25 = 3*o + 5*x, -b*o + 2*x - 18 = x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that l**3\/4 - 43*l**2 + 165*l\/4 + 513\/2 = 0.\nAnswer: -2, 3, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 702 = -1273. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -321, -349, -377, -405, -433?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (24\/20)\/(9\/60). Let w be 15\/(-10)*k\/3. Let d(r) = r**3 + 6*r**2 + 4*r - 1. List the prime factors of d(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 524606 is divided by 144?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7)\/((-147)\/(-1400))*85200. What is k rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 116 and 580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from avyyvdyyaaavydyf. What is prob of picking 1 v and 3 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 273, -5 in decreasing order.\nAnswer: 273, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-4\/5)\/u**(-18))**(-34))**(1\/38) assuming u is positive.\nAnswer: u**(-1462\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-1))\/(1*(-24)\/56)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes after 6:08 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -23*r. Let l(p) = 2*p. Determine l(m(y)).\nAnswer: -46*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.6 + 1.2. Let x = 0.9 + o. Let l = -0.34 + -7.66. Sort l, 1, x in ascending order.\nAnswer: l, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2483 - -3?\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 69 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/10*(-1460)\/(-438)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**17\/(d\/(d\/((d**(3\/14)*d)\/d))*d)*((d*d\/(d\/(d\/(d\/(d\/d**(-2\/31))))))\/d*d)**(-30))**(8\/11) assuming d is positive.\nAnswer: d**(-80116\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**3 - 6*z**2 + 6*z - 5. Let w = -79 - -88. What is the remainder when w is divided by r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -379.6 + 342.6. What is the second smallest value in -4, -1\/5, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 623695 times 5?\nAnswer: 3118475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, 52, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2057078 is divided by 291.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3*x = -19, 4*q + 4*x + 4 = -0. Suppose 0 = p - 0*s - 3*s - 16, -p + q = 4*s. Suppose p*t - 4*t = 1014. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, -20, -1 in descending order.\nAnswer: 3, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and -5\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -4*a**2 + 51 + 42 + 0*a**3 - 88 - 5*a**3 as n*a + v*a**2 + g*a**3 + s and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2979, -3804, -4617, -5418, -6207, -6984?\nAnswer: -7749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 6*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -37 - (-17 + 25) - (-5 - (-3 + -2 + 8)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s + 1 + 7 + 8)*(-10 - 18 + 13).\nAnswer: 15*s - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 151164960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -987463\/306 + 3227. Calculate the common denominator of n and -131\/30.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k**5 - 45568*k**3 + 212*k - 8 wrt k?\nAnswer: -20*k**3 - 273408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 5*a + 20, -4*q - 2*a = -2*q - 6. Let v(k) = 5*k - 9*k + 22 - k**2 + 3*k - 8*k. Let t be v(-11). Solve 0 = q*i, t = n + 2*n - 3*i + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 6) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.5 - -2.5. Let g = w - 0. Let s = g + -1.7. Which is the nearest to 1? (a) s (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -265 = 54*l - 643 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 4*s)*((-13 - 2 - 10)*(-3 + 1 + 4) + 4 - 1 - 1 + 0 + 1 + 0 + (-1 + 0 + 2)*(-4 + 0 + 3) + 6 - 2 - 2 + 2 + 1 - 2 - 2 - 1 + 2 + 2 - 3 + 2).\nAnswer: -180*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -3*n**3 - 13*n**2 - n - 3. Let o be m(-4). Is -1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52362 is divided by 2366?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are -630623 and -630616 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 20 + 52 = 3*w, -5*w + 46 = p. Let u = -5 + w. Suppose -u*g + 5 = -15. Solve g*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37 + -3680819.\nAnswer: -3680782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 2434 = -5*s, 5*s = 20*u - 16*u + 3247. Let p = u + 813. Let g = 1 + 0. Put -4, 11, p, g in decreasing order.\nAnswer: 11, g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 405019, 810040, 1215061, 1620082, 2025103, 2430124?\n\"Answer: 405021*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -91 - -93. Let z(w) = -47*w**3 + 2*w**2 + 4*w - 6. Let t be z(k). Let b = -225 - t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -462 = 213*j - 2*i, 164 - 110 = 3*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the first derivative of -u**2 - 5*u + 8. Let m(p) be the second derivative of 2*p**3\/3 + 11*p**2\/2 + 2*p. What is -13*d(i) - 6*m(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0\/(4 - (2 + 1)). Suppose -5*w + h + 10 = 0, -4*c + 2 = -w. Let a(z) = 3*z**3 + z. What is the remainder when 14 is divided by a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*((-135)\/(-3))\/(-1). Let q be (-6)\/y + 77\/15. Suppose -q*w + 4 = -1. What is the nearest to -2\/5 in -0.1, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -135, -578, -1547, -3264, -5951?\nAnswer: -9830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -287391 = -23*z - 16*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 30. Suppose q*l - 29*l = 64. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 2*m = 4*f - 14, 5*m - 3*f = 4. Let p(n) = -2*n - 14. Suppose 4*q + 11 = -17. Let s be p(q). Solve s = m*r - 3*r - 5*o - 10, -r + 5*o = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001000010 - -1000010101110110?\nAnswer: 1000000100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/4 + 5413*q**2\/4 - 694444*q + 93842097.\nAnswer: -(q - 4857)*(q - 278)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34261, -34330, -34399, -34468?\nAnswer: -34537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 34050 and 4650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, 183, 5 in increasing order.\nAnswer: 1, 2, 5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/15 and -73\/69.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60789918, 60789916, 60789914, 60789912, 60789910, 60789908?\nAnswer: 60789906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/((-24)\/56*-7). Which is the second smallest value? (a) -1\/9 (b) y (c) 0.2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 508*p - 4239 = -1711 + 6108 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1289*v = 962*v + 10791 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 49*n**2 + 130*n - 1663. Let l(u) = -11*u**2 - 30*u + 416. Give -26*l(s) - 6*q(s).\nAnswer: -8*s**2 - 838","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 314602, 629197, 943792, 1258387, 1572982?\n\"Answer: 314595*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1 + 355\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 2*d + r, 0 = -2*r. Let h = -47 + 48. Sort d, 3, h in descending order.\nAnswer: 3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1843521 + 6172108187\/3348. Calculate the common denominator of x and 79\/465.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5525*-15.\nAnswer: -82875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.05 (b) 16\/3 (c) 1.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2036\/9 + -226. Find the common denominator of g and -53\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + l - 4*l - 650 = 0, -y = 2*l + 651. Let g = y - -196555\/301. Let x = 859\/6622 + g. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 947893.4 litres in millilitres?\nAnswer: 947893400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1446 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.3, -0.4, 0.07, 0.03, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -31\/259 - -15\/37. Let -16\/7*c - k*c**3 + 10\/7*c**2 + 8\/7 = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2719350 divided by -6?\nAnswer: -453225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 2*z + 1652. Let l(p) = -21*p. Calculate h(l(v)).\nAnswer: -42*v + 1652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*a + 1 = 386 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -16, -23, -42, -79, -140?\n\"Answer: -j**3 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.009681178 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 79 (base 15) in base 14?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86 is divided by 53.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -174*c - 456. Let f be i(-4). Solve -6*o = -36*o - f for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 28*r**2 + 2*r**4 + r**4 - 41*r**2 - 4*r**4 + 3 to the form j*r**4 + h*r + n + o*r**3 + p*r**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 80853 = 98*a + 90751 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69 = -4*m + 23. Sort 5, m, 2, -1.\nAnswer: -1, 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 38 - ((8 - 3) + -2). What is the highest common factor of y and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*c**3 - c**3 + 3*c + 2 + 5*c**3 - 2*c**4 + c**3 in the form t*c**2 + o*c**4 + x*c + j + u*c**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -q**3\/3 - 4*q - 145. What is l(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/14)\/(2\/(-4)). Let j = 170 - 170.06. Let s = 0.94 - j. Which is the third smallest value? (a) y (b) -9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes after 1:07 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2123 and 1793?\nAnswer: 346049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 6 - 2. Let t(n) = 13*n - 3. What is the units digit of t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2854196, -2854073, -2853954, -2853839, -2853728, -2853621?\n\"Answer: -2*d**2 + 129*d - 2854323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -11*w - 55. Let t be z(-6). Suppose -9*u - 166 = -t*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor d**2 + 18087*d + 1081620.\nAnswer: (d + 60)*(d + 18027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.7 - -5.4. Let h = 0.4 + 0.1. Which is the closest to -1? (a) h (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.239 - -0.286. Let v = 2.525 - k. Which is the closest to 1? (a) v (b) -2 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 26.372385 months?\nAnswer: 0.219769875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -308 - -312. Let h = -4 + 35. Suppose -3*q - 5*f = -h, -3*q + 0*q = -j*f + 14. Solve 0*u = q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 0.07, 138.49?\nAnswer: 138.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 7, u: 3, l: 1, o: 1, i: 4}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z**2 + 24426*z + 49719123 = 0 for z.\nAnswer: -4071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**2 + 15*c + 1885. Calculate m(52).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -2*d + 4*m, 4*d - 2*m + 4*m - 128 = 0. Let v be (-18)\/8*d\/6. Let b = v + 16. Calculate the remainder when 11 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -7 (c) 0.3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 763.9894 millilitres to litres.\nAnswer: 0.7639894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + -466?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*i**3 + 6*i**2 - 29 - 4*i**3 + 25 + 13 + 0*i**2 to r*i**3 + z*i**2 + v + o*i and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 20 + 255*p + 240*p - p**2 - 510*p. Calculate the remainder when h(-15) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -13*k**3*u**2 - 7333*k**3*u - 1856846*u**2 wrt k?\nAnswer: -39*k**2*u**2 - 21999*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 2 - 34*q**3 + 37*q**3 to x + m*q**2 + k*q + b*q**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 9*o**3 - 12*o**2 - 12. Let u(z) be the third derivative of -z**6\/120 + z**5\/60 + z**3\/6 - 2*z**2 - 2*z. Determine -a(j) - 12*u(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 2*a = -2, -z - 2*a = 4*z - 10. Let o be z + (0 - (1 - -1)). Let g(m) = -m**2 + 11. List the prime factors of g(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 557 a factor of 420921709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*s + 3*j + 7, 3 = 55*s - 52*s + 3*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(16\/(-90)))\/((-53)\/23744*-84)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1137 - 302*g**2 - 1140 - 1425 + 3702.\nAnswer: -302*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00012685 to six dps.\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57909083?\nAnswer: 409, 141587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -3*x + 21 - 6729, -x - 4028 = -3*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the third derivative of 89*r**4\/24 - 9*r**3\/2 + 12*r**2. Differentiate w(j) wrt j.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*15\/12*(693\/(-35))\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 4*m = 16, 10*m = 11*m - 1. Find the third derivative of 6 - 5*v**2 + 18*v**5 + 7*v**2 + 14*v**i + 0*v**2 wrt v.\nAnswer: 1920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the third derivative of -v**4\/24 - 3*v**3\/2 + 6*v**2. Let i be h(-6). Let y(g) = g**2 + 6*g + 4. Calculate y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 2*z + 3675 = 0. Let f = 1205 - z. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2606 - -20849\/8. Sort -5\/2, y, 3, -0.253 in descending order.\nAnswer: 3, y, -0.253, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (16\/6)\/((-24)\/(-2988)). Find the third derivative of 331*f + 4*f**3 + 27*f**2 - t*f - 157*f**3 wrt f.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 670296831 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8\/(-6) - 48\/18. Does 3 divide h*((-8)\/2 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 - 15*n**2 + 41*n - 15. Calculate the remainder when h(-18) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 888*p**3 + 125*p**3 + 266 - 480 - 1274 wrt p.\nAnswer: 3039*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (13 - 0)*(7 + -1)\/(-2). Let w be (-69)\/9 + 13\/q. Let l(n) = -n**3 - 8*n**2 + 4*n + 11. Determine l(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73885502 = -5*s + 924923. Suppose 3*o - s = -50512085. Round o to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes before 12:25 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-1 + -1 - -5 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5422 + 10749 + 37*d**2 - 5327.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 + 1 - -5) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -920*o - 19759 = -4734 + 13495 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5913 - 5907. What is the greatest common factor of i and 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1332020 (base 5) in base 11?\nAnswer: 19429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12675943 or -12675939?\nAnswer: -12675939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 - -7. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 - 6*i**2 + 4*i + 1. Let k be z(4). Let y = -16 - -15.5. Sort y, k, 0.5 in increasing order.\nAnswer: k, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 11*n**2 - 10*n**2 - 3*n**2 + 0*n**2. Let u(t) = -2*t + 1092. What is u(f(l))?\nAnswer: 4*l**2 + 1092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 189 = 31*p, r + 2 - 17 = 2*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vmvmbvjmkvv. What is prob of picking 1 m, 1 j, and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 - 2. Let z be -1 + 192 + 1 - l. What is the tens digit of z\/18 - 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 - -346321635?\nAnswer: 346321630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 40593060 divided by 122\nAnswer: 332730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1.134 rounded to two decimal places?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + r = 141, 2*r = w - 2*w - 24. Suppose 2*k - 27 = -33. Sort -2, w, k.\nAnswer: w, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*n + 117 = 127 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Do -93 and -212 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 232495803 to the power of 1\/2, to the nearest integer?\nAnswer: 15248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 180487012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 2*b + 9, -5*b + 71 = -4*c. Suppose -5*i = -2*g - 7, 4*g + i = -0*i - 25. Does 11 divide g\/c - 918\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - 4. Let z be (3000\/(-1))\/(r\/1160). Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -u - 46, 44 = -2*o + 6*o - 2*u. Let n(s) = s**3 - 12*s**2 + s - 9. Let x be n(o). Solve 0 = -c - 5*g + 17, 0*g = x*g - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 197 is divided by 120?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -1 + 6 + -12 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3684 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 3611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -8 (b) -24 (c) 11 (d) 0.2 (e) 1 (f) -3.6 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65244452?\nAnswer: 2, 7, 13, 179243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 11576, 46368, 104338, 185486, 289812, 417316?\n\"Answer: 11589*b**2 + 25*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 2*k = -3, -3*o + 2*k = 0. Suppose -4*m - o*q = -m - 80, -4*q - 92 = -3*m. Find the first derivative of -m + 17 + 10*w + 13 wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b = -6*b - 616. Round b to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 134, 309, 484, 659, 834, 1009?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 12\/23 (b) -49 (c) 1\/3 (d) -1\/3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2972*v**3 - 72*v**2 + 647675.\nAnswer: -8916*v**2 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ypccxacpciiacyiicp. What is prob of sequence xc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 158019766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**3 + 214*k**2 + 67*k - 2. What is s(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.06 - -2.56. Let w = -11 - -16. Which is the third biggest value? (a) w (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/63 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 132 - -130. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -18*n**2 + 15*n + 15. Let g(o) = -o**2 + o + 1. Give 3*c(f) - 45*g(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-56)\/60*(-40)\/(-16)*9\/15?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -11*j + 6 - j - 6 in the form g*j + q and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.09*-16\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 12, o: 5, f: 2}. Give prob of picking 1 f and 3 o.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-156)*-2)\/(21\/(84\/2))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the first derivative of -a**4\/4 - a**3\/3 + a**2\/2 + 53*a + 14. Let m(w) = -w**2 + 4*w + 5. Let u be m(5). What is the units digit of p(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4536 by -1134.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, t: 4, x: 2, h: 1, l: 1}. Give prob of picking 1 t and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2404.36 - -2276. Let k = x + 128. Let t = k + 0.36. Which is the smallest value? (a) t (b) -0.4 (c) -3\/2 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -16*(175\/(-28) + 6). Suppose 4*s = 2*f - 38, -c*s + 9 + 13 = 2*f. Solve 30 = -3*q + f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 606138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 16*s - 1. Let u be m(1). Let g = -4 + 6. Suppose -w + u = g*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/902 and -29\/410?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3085 is divided by 338.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -3*v - 63. Let a = 1361 - 1394. Let j = v + a. Calculate the least common multiple of j and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32 + 43. Solve -b*d = -6*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14456872?\nAnswer: 2, 19, 95111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1\/5 (c) 7\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b**2 + 64*b - 6468 = 0 for b.\nAnswer: -49, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 0 - 3)*(6*o - 5*o - 3*o) + 2*o - 3*o + 3*o + (3 + 4 - 5)*(o - o + 2*o) to the form y*o + v and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -4*q + 8. Let c(b) = 2*b + 12. Let p(r) = -r - 11. Let h(n) = 4*c(n) + 5*p(n). Calculate 5*d(m) + 6*h(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/9 - 392*a**2\/3 + 38416*a.\nAnswer: a*(a - 588)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooff when four letters picked without replacement from {f: 3, y: 1, i: 4, o: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 276 * 0.5.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from obccrbbbo. Give prob of picking 1 r, 1 b, and 2 o.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*t**3 + 2172*t**2.\nAnswer: -4*t**2*(t - 543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -8*v**3 + 7318*v**2 + 857438*v - 864748 = 0.\nAnswer: -106, 1, 4079\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2576*k**3 - 1512*k**2 + 7*k - 1746870.\nAnswer: -15456*k - 3024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 106680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 19*h + 112. What is r(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 224\/504 + 12\/(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -33*w - 269. Calculate x(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3875480 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 221*z**3 + 12*z. Let o(y) = 663*y**3 + 32*y. Determine -8*g(f) + 3*o(f).\nAnswer: 221*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12 + 16. Suppose 5*v + 0*v + 2*n = -8, -4*v - a = n. Let x be (v\/1)\/(-1 + 2). Solve x*f = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.042 + 4.958. Which is the nearest to -2\/5? (a) 0.2 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 8 = 5*c - 8, -2*r + 7 = 3*c. Let s(q) = q + 1 + 9 + c. Is 3 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*s**5 + 85306656*s**4 + 733638000*s**3 + 1996178526*s**2 + 1381970079*s - 921313278 = 0. Calculate s.\nAnswer: -3, 2\/5, 5687119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4 - -1)\/((-54)\/24). Let n(i) be the first derivative of i**2 - 2 - s*i**3 + 2*i + 1\/3*i**6 - i**4 + 2\/5*i**5. Factor n(w).\nAnswer: 2*(w - 1)**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*w**2 - 5813*w + 5813*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*j**3 + 0*j**3 - 6*j**3 + (4*j**2 - j**2 - 2*j**2)*(-2 + 2 + j) + 0*j - 2*j**3 + 0*j.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 4*j. Suppose f + 1 - 10 = -c, j = -5*c + 2*f + 38. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 3*o - 67 = 0, o + 12 = b - o. Differentiate -63*m - 11 - 30 - b*m - 2 with respect to m.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*m - 66 - 855 = -2101 - 1898 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3231507 to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 2*z - 13, -2*h + 13 = 7. Suppose -i + 3*q + 7 = 0, -z*q + 45 = 2*i + 2*i. Calculate the remainder when 49 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 + 5*t**2 + 12*t + 3. Determine v(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -206 divided by -275622\nAnswer: 103\/137811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express o**4 - 19*o + o**3 - 2*o**3 - 4 + 17*o - 2*o**2 as s + i*o**2 + q*o**3 + a*o + g*o**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3 * -209\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*z**2 - 3 - 24*z**2 - 7 + 17*z**2 + 5*z**2 to the form b + i*z**2 + j*z and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -145 + 148 + 2084*k**2 - 2082*k**2 + 782*k + (-2 + 2 - k)*(-5*k - k + 4*k).\nAnswer: 4*k**2 + 782*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -13*f - 50. Let d be w(-4). What are the prime factors of (d\/(-2))\/((-7)\/5222*2)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 829.44 + -10.44. Let p = 818.646 - d. Does p = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 + 9. Suppose d*a + 5 + 10 = 0. Let n(g) = -3*g - 5. Let u(q) = 2*q + 5. Let h(x) = a*n(x) - 4*u(x). Calculate h(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (-1 - 3 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7775414 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of 0 + 1\/6*a**3 - 1\/12*a**4 + 187*a - a**2. Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.09, -13, -3 in ascending order.\nAnswer: -13, -3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1124 + -0.3876. Which is the closest to 1\/2? (a) -2\/47 (b) -2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ajj when three letters picked without replacement from {c: 1, k: 1, a: 1, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3617 - -5647. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 196874 and 193889 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/10 + 69\/(-15). Let g(r) be the first derivative of r**3\/3 - 4*r - 49. What is the units digit of g(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -25 - -25. Suppose -3*h + n*h - 4*z = -314, -z + 512 = 5*h. Find the common denominator of -13\/18 and -1 + h\/99 - -2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 8*q = 10*q + 44514, -3*q - 8908 = -k. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -88929 and -0.01.\nAnswer: 889.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -100212023 + 22211?\nAnswer: -100123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 23716761 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39226 is divided by 18800.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2\/2 + 2909*c\/2 + 1455.\nAnswer: -(c - 2910)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*v**5 + 19*v**4 + 11*v**3 + 4*v**2 - 40*v wrt v?\nAnswer: 240*v**2 + 456*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104*y = -52*y - 118872. Calculate the remainder when y is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*k - 6*u - 63 = -88*k, -u - 20 = -3*k. Find s such that -448\/5*s + 768\/5 - 4\/5*s**k + 76\/5*s**2 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of y**5\/70 - 3*y**4\/14 - 30*y**3\/7 - 3*y + 800. Determine i, given that q(i) = 0.\nAnswer: -6, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -115\/48 and 128\/(-72)*(-5)\/(-15)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + -4 + -4 + (-18 - -25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (1 - (0 - -17))*1\/(-2) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/13*d**2 + 1692\/13 - 842\/13*d.\nAnswer: -2*(d - 2)*(d + 423)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 + 5*o - 1. Let v(f) = 7*f**2 - 16*f + 22. Let q(u) = 6*t(u) + v(u). Let s be -11 - 1 - 0\/(-1). Give q(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5941150342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the first derivative of 103*k + k**3 - 70 + 0*k**2 - 3\/4*k**4. Find the first derivative of g(w) wrt w.\nAnswer: -9*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**3 + 6*n**2 - n + 2. Suppose 0 = -v + 4*v + 4*d - 94, -4*v + 2*d = -96. Let u = 46 - v. Let l = 26 - u. Determine q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 117*f**2 - 541*f - 1416. Calculate o(-2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/24*1012\/69 + (-5)\/(-10). Solve -n = -0*n + 2*j - o, 3*n + 15 = 5*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -17*h**3 - 19*h**2 - 13*h. Let y(k) = 8*k**3 + 9*k**2 + 6*k. Determine 6*p(o) + 13*y(o).\nAnswer: 2*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*r*z**3 - 10288*r + 1766*z**4 - 2 with respect to z.\nAnswer: 9*r*z**2 + 7064*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 - 11*s**2 - 12*s - 13. Let n be a(-10). Suppose c + 1 = n. Let i be c\/2 + (-1)\/1. Solve -r + 10 = i*y - 6*y, y = 2*r + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 7) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/(-6))\/((-16)\/48). List the prime factors of 148 - (-4)\/1*z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12759 is divided by 510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -4 - 1. Suppose -5 - 3 = -4*h + y*p, -10 = -5*h - 4*p. Let 2\/3*r + 4\/9 - 2\/9*r**3 + 0*r**h = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 4*p. Let j(l) = -219*l**2. Determine j(v(t)).\nAnswer: -3504*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 43*a**3*h - 1343*a**3 + 21*a**2*h**2 wrt h?\nAnswer: 43*a**3 + 42*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j + 21*j = 1820. Let a = -51 + j. Solve -12*s + 10 = -a*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 - 73*x**2 + 105*x + 2285. What is h(-74)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 202153978.\nAnswer: 2, 13, 53, 146701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 18395.12l in millilitres?\nAnswer: 18395120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1781 - -1781. Solve 3*j + 5*z + 30 = q, 2*j + 34 = -3*j - 3*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 - 12*r + 4. Let m(w) = -2*w - 38. Let a be m(-13). Let x be ((-20)\/(-15))\/(a\/(-90)). Determine v(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-6)*1506\/(-5). Let n = 101 - o. Let r = 42862.3 - 42862. What is the fourth biggest value in r, n, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 + 13. Let i(h) = -4 - 9 + h + 9 - 2. Let n be i(s). Is -1\/4 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 10*h**3 + h**2 - 1. Calculate n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 545?\nAnswer: -54a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.2 - -0.4. Let i(m) = 3*m**3 - m**2 + 1. Let f be i(1). Suppose -t - 2*t + 4*l = 7, l + 5 = f*t. What is the second biggest value in t, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2366431*o - 2366426*o + 3*g - 68, -11*o + 141 = -2*g for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9 - -97?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/(-60)*(-5)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 614.6, 2, 3\/4, -34?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10203101310 - 3?\nAnswer: 10203101302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the second derivative of 7*q**3\/6 - q. Let d(l) = -2*l**2 + 6*l + 6. Let w(x) = -2*x**2 + 7*x + 7. Let j(t) = -7*d(t) + 6*w(t). Calculate i(j(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2\/3 - 704*g - 2115.\nAnswer: (g - 2115)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 5*a**2 - 180*a - 185 = 0. What is a?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add 0.03396 and 3.\nAnswer: 3.03396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a2 + -203?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is w in -15 + 5*w**3 - 95\/3*w**2 + 55*w = 0?\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-10)\/4*12\/10 + 307. What is the greatest common factor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.68676 - -4.5729. Let o = q - -6.52676. Let y = -5.4 + o. What is y rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0222 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-919 - 702 + 614)*(-p + 2*p**4 + p).\nAnswer: -2014*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -278*g - 6336 = -1070*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3975173233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -101 + 106. Suppose -2*z + 2 = -2*m, 4*m - r*m - z = -5. Solve 0 = 4*x + 5*n + 37, -2*x - n + m = 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 362\/67423 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 59693436 by -245652.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 112*d**2 - d + 25?\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -8.233 times 4\nAnswer: -32.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, v: 7, k: 4}. What is prob of sequence kvk?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 2 = -8. Solve -4 = -p - 3*p - 4*l, -5 = -d*p - l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -36, 5 in ascending order.\nAnswer: -36, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 11421584.\nAnswer: 11421584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4*c = 2*y - 32, -2*c - 156 = -4*y. Suppose 6*k - 11*k = y. Calculate the smallest common multiple of 14 and (0 + 1)*(0 - k).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 2*i - 7. Let g be w(6). Let b be ((-10)\/(-10))\/(1\/g). Suppose b*t = 28 + 27. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 2*d - d = -20, 2*l + 3*d = 34. Is 12 a factor of 4\/(-14) - (-522)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 11 - 2 - 5\/((-10)\/2). Let q be (0\/(-1) + 1)*0. Let l be 78 - (1 - q)*-2. Calculate the greatest common factor of l and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10220001221 + -120122?\nAnswer: -10220122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -211*q + 1000 = -11*q. Solve -2*c - 1 = h - 4*c, -3*h - 2 = -q*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -637 divided by -34?\nAnswer: 637\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -35029*r = -35046*r + 119 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33917815.\nAnswer: 5, 179, 37897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 19*h = -34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 534 - 332. Suppose 3*c + 4*i = -2*c + 258, 4*c - v = -i. Let f be 0\/(-1 - -3) - -20. Calculate the highest common divisor of f and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1542724, -1542738, -1542752, -1542766, -1542780?\nAnswer: -1542794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -31 - 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/297 and -7\/5.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m - 1. Let c be (33\/(-11))\/(1*-1). Let f be s(c). Let w = 7 + f. What is the highest common factor of 108 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2223492 by 3.\nAnswer: 741164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -221 (base 5) to base 14.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 109177133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/55*(19 - 0). Let g = -3\/55 - f. Let j = -15 + 15. Which is bigger: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, g: 4, v: 2, d: 1, k: 1}. Give prob of picking 1 k and 1 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 51699680 and 1520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 33, 45, 71, 117, 189, 293, 435?\n\"Answer: k**3 + k**2 + 2*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 8*u + 6 = 6*u, 0 = 4*k - u - 8. Let s be 17 + -11 - 4\/k. Solve -3*h + 7 = -0*h + y, 12 = s*h + 2*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*r + 11*r + 3*m = 11, 2*m = 4*r + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 7*p**2 - 6*p - 4. Let i be (-5 - -4) + 20\/(-4). Let n(o) = -8*o**2 + 5*o + 3. Let h(c) = i*n(c) - 5*w(c). Differentiate h(g) with respect to g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 279941 is divided by 432.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6 - -0.4. Let v be (-2)\/10*(-15)\/(-2). What is the nearest to 0.1 in p, 2, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 i, and 2 z when four letters picked without replacement from {z: 2, s: 1, i: 1, l: 3, b: 6}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -980 + 974. Let h(n) = n**2 + 9*n + 1. Calculate h(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 225 divided by 6.\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -8832*r = 635*r + 6344*r + 192173 - 1156644 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 l, and 2 z when four letters picked without replacement from udallzz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 117b66 (base 12) to base 10.\nAnswer: 283326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9299094 and 3078?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of (-5)\/((-25)\/36138) + (7\/5 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of h**4\/6 - 11*h**3\/6 + 20*h**2 + 72*h. Let r be f(9). What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 689752737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 411204?\nAnswer: 2, 3, 34267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 139*a + 4738. What is d(-39)?\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express o**3 + 28*o**4 - 209*o**2 - 199*o**2 - o + 412*o**2 + 2 + o**3 - o as l*o**3 + x*o + m*o**4 + c + g*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -g**2\/4 + 300147*g\/2 - 90088221609\/4 = 0. What is g?\nAnswer: 300147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 4\/7, 18, -23, -6.2 in decreasing order.\nAnswer: 18, 4\/7, 0.2, -6.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 120*t**2 + 35*t. Let o(v) = -72*v + 7. Let r(l) = l**2 + 62*l - 6. Let f(g) = 6*o(g) + 7*r(g). Determine -70*f(a) + 4*j(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*g**2 + 8*g**2 + 10*g**2 - 45*g**2 - 26*g + 8*g**2 to n + b*g**2 + t*g and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -3*a + 4*q, -a = 2*a + 2*q + 19. Sort a, 244, 5 in increasing order.\nAnswer: a, 5, 244","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (194 - (-122 + 122)) + -84.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57 divided by -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 3) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 84 = v. Suppose -b = 2*b + v. Let t = -10 - b. Sort -2, t, -4\/3 in descending order.\nAnswer: t, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2112 (b) -0.5 (c) 0.2 (d) 0 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 7*h**2. Let m(z) = 4*z + 3. Determine m(g(q)).\nAnswer: 28*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4 + (5 - 3\/1). Suppose 0 = -6*z + 8*z - t. Factor 12*r**3 - 3*r**4 + 3*r**4 - z*r**4 + 6*r + 0*r**4 - 15*r**2.\nAnswer: -3*r*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -23 - -12002?\nAnswer: 11313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -40537 (base 8) in base 5?\nAnswer: -1013420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 2 = 2. Let d = 1 + -1.4. Suppose 5*u = u. Which is the closest to r? (a) 2 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1220 and 1098?\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z + 7 - 4*z**2 + 7*z**2 - 9 - z**3. Determine o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*y - 4. Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1772205 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from ddepxe.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27123 + -27127.3938. Let c = 50 + -45.6. Let h = b + c. What is h rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*g + 65 + 75 = 0. Let j(p) be the third derivative of 10*p**2 + 0*p**3 - 7\/24*p**g + 0*p + 0 - 1\/5*p**5. What is the second derivative of j(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w + 141 + 9 = 0. What is the least common multiple of 13 and w?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - -190778?\nAnswer: 19077a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 9 + (10 - -1) + 6 + -133\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 - 5*l**2 + 5*l + 23. Let m be o(-5). Let d be 36\/(-27)*3\/m. Solve -48\/5 + 168\/5*t - 147\/5*t**d = 0.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 - 29*m**2 + 206*m + 76. Let h be a(17). What is the greatest common factor of 2585 and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 + (-13 - 13) + -17 - -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 5674, 11349, 17024?\n\"Answer: 5675*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = 3*n - 5*o + 27, -3*n - 4*o - 21 = 5*o - 54 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -255?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**3 + 96730*q**2 - 193475*q + 96740.\nAnswer: 5*(q - 1)**2*(q + 19348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*h*w**3 + 1773*h*w**2 - 30*h*w + 286*h + 2*w**3 - 42*w**2 - 2*w - 97 wrt w?\nAnswer: -18*h*w + 3546*h + 12*w - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 452844 and 8856.\nAnswer: 37133208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + 2*b - 2*b + b**3)*(737 - 336 - 301).\nAnswer: 100*b**3 + 100*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.09 and 81.6.\nAnswer: -7.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a - 952 + 289. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173*t + 176*t - 98442 = -3*p, -5*p + 164100 = -5*t. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/2)\/((9\/12)\/3). Let t(n) = 1 - 3*n + 4*n**2 + n**2 - 4*n**2. Calculate t(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -450.4306, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1192 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = 24*z - 47. What is the closest to z in 195, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 (base 12) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 - 3. Let y be 20\/(-8)*-2*w. Suppose 4*k = y*z - 446, 20 = -5*z + 5*k + 465. What is the greatest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.047285453 to 4 decimal places.\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19 - (-42 + 13)) + (14 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 48 + -13. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 12 = 0, -4*p - 3*w = -7 + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (4*m + 2*m - 4*m)*(0 + 0 - m) + 21*m**2 + 25*m**2 - 10*m**2 in the form b*m**2 + o*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(((-2)\/(-5))\/((-2)\/10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22593.\nAnswer: 3, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 0*v - 21 = 4*s, 3*s + 12 = v. Let n = 6 + s. Suppose 4*y - 3*r = -2*r - 2, -6 = -2*y - 3*r. Solve -n*t - 1 + 13 = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-3) - (-32)\/66. Let y = 2899 + -2903. Which is the second biggest value? (a) p (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 5, b: 5, t: 5, x: 2}. Give prob of picking 1 x and 1 b.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmggmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the third derivative of -o**7\/42 - 13*o**3\/6 - 7*o**2. Find the first derivative of i(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*c**3 - c**2 - 6*c**3 + c**2 + 5*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -320*c - 173228 = -351*c. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*g = 57*g + 2*z - 6, 5*g - 13 = -3*z. Suppose -3*c - w - 62 = -228, -c - g*w = -62. Do 54 and c have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*l - 5 = 163 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -225*k**4 + 78195*k**3 + 1260564*k**2 + 970860*k + 191664 = 0.\nAnswer: -44\/3, -2\/5, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 360 and 326736.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 914354\/2 - (0 - 8 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*c - 1085 = -845 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -929*u - 6262 = -373*u - 354*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 243*d + 106. What is the remainder when b(9) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12\/54 + (-2)\/9. Suppose 3*i + 4*w - 435 = 96, -2*i - 2*w + 352 = r. List the prime factors of i.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 5*f**3 - 2*f + 1. Let b be a(1). Let v be (12\/(-9))\/(b\/(-6)). Solve 0 = v*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - i + 4*f + 19 = 0, 0 = 2*i - 5*f - 14. Let x be (i - 3)*(-2)\/1. Suppose -10*y = -x*y. Solve y = -5*h + 1 + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**3 - 4*g**2 + 5*g - 2. Let x(b) = b**2 + 4*b - 2. Let d(s) = -s**3 - 2*s**2 + s - 1. Let z be d(-2). Let c be x(z). Give w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g. Let d(u) = -13800*u + 2415. Let x(v) = -143*v + 25. Let p(h) = 5*d(h) - 483*x(h). Determine p(j(o)).\nAnswer: -69*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.02 - 0.02. Sort c, 4, 2 in ascending order.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from sssddssmmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4935 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*v**4 - 68*v**2 + 29*v**2 - 119*v**2 + (-5 - 2 + 6)*(2*v**4 + 0*v**4 - 3*v**4).\nAnswer: -4*v**4 - 158*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-4)\/28)\/(6\/(-7)). Let l be (-9 + -4)*(-2)\/8. Let j = -3 + l. Which is the nearest to -2\/7? (a) f (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-35)\/(-10)*2\/7. Let v(g) = 17*g**2 + 44*g + 1. Let k(q) = -15*q**2 - 33*q - 1. Let t(x) = 4*k(x) + 3*v(x). What is t(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {s: 10, c: 2, g: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.078 + -0.022. Suppose -5*g - 12 = -g. Let a = -54 - -58. What is the closest to b in 0.4, a, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1362*i - 309 = -1321*i + 1085 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - -0.0765.\nAnswer: 5.0765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**3 - 8*q**2 - q + 10. Let j be -3*(-6)\/(-9)*-2. Suppose -2*p + 22 = -4*i, j + 1 = -i. Suppose 0 = v - 3*f + p, -2*f = v + 2*f - 20. Calculate g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7035 divided by 3.\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 62959362 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 63*j - 110*j - 30*j + 1309 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/1 - (-69)\/3. Let x be (-78)\/r + (4 - 1). Is x greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -10\/3, -1, 362, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 145755*y = 145728*y + 48438. Sort 0, -3, y.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*-18*(28\/42)\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 21 = 21. Let z = p - -15. Let j = z + 7. Let f(n) = -2*n**2. Give f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -3*t, 0 = 5*t - 4*g - 1 - 3. Let b = 82 - 87. Let h be 18\/3*b\/15 - -9. Solve 4*o - 4*m + 4 = 0, t*o - 2*m - h = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 66 - 64. Find the second derivative of i*b + 0*b + 29*b**2 - 36*b**2 + b wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12635 + -25952. Round z to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 + (-4 - (-14 - -8)). Suppose y = -177*p + 176*p + 38. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/89848 and -31\/89848.\nAnswer: 89848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -1165*h + 6933. Determine s(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -110010102210012 - 0?\nAnswer: -110010102210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-184)\/(-24) - (3 + 4). Which is the smallest value? (a) 6 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 231\/35 + -6 + (-105748)\/(-20).\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the second derivative of -2*f**2 - 1\/60*f**5 + 0 + 1\/24*f**4 - 4*f + f**3. Let p(c) be the first derivative of w(c). Calculate p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*y - 41607 = -82*y. What is the greatest common divisor of 345 and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 147*k = 8*u + 145*k + 12, -2*u - 5*k = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 + 5. Suppose -z = -5*a + 9. Calculate the remainder when a is divided by 4 + (-3)\/((-3)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 + 57*m**2 - 96*m - 7863. Calculate g(-56).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**2\/(b*b*b\/(b\/(((b**4*b*b)\/b)\/b))))**(-31\/4)\/(b*b\/b**7*b*b\/(b*b**(1\/5))*b)**28 assuming b is positive.\nAnswer: b**(603\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 38882642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4401513433 - 4401513513.10000027. Let j = v + 80.1. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 7.7. Let t be (-4)\/(3 + -2)*-4. Let w = -12 + t. Put d, w, 2\/9 in decreasing order.\nAnswer: w, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1849582 and 22880?\nAnswer: 1872462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 137*a*j**3*q**2 + 1820*a*q**2 - 2*j**3*q**2 wrt j.\nAnswer: 411*a*j**2*q**2 - 6*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -4*y. Let j(t) = -t + 1. Let c(f) = -2*j(f) - r(f). Suppose 2*m = -2 + 4. What are the prime factors of c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1286 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1992 times 0.1\nAnswer: -199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.9027601 millennia?\nAnswer: 10833.1212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*j - 7*j + 1258 = 0. Let w = j - 28. Let b = -14 + 60. Calculate the greatest common divisor of b and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**0*(y\/(y\/(((y\/(y*y\/(y**12*y))*y)\/y)\/y)))\/y)\/(y**(1\/10)\/(y\/(y\/((y*y**11\/y)\/y)))) assuming y is positive.\nAnswer: y**(209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*o - 114 = 4*o. Let r be ((-12 - o) + 5)*-5. Let h(f) = 6*f + 3. Let t(n) = 12*n + 5. What is r*h(b) - 3*t(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + 10*r + 3. Let k(f) = -2*f**2 + 21*f + 7. Calculate 2*k(c) - 5*y(c).\nAnswer: c**2 - 8*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 48*t**2 - 206*t - 41. Calculate s(-52).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 9 - 9*c + 1 - 23*c. Let y be g(-10). Suppose -5*u + 929 = 3*l, -3*u - 3*l = -231 - y. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*r**2\/5 - 519*r + 66033\/5.\nAnswer: -3*(r - 23)*(4*r + 957)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -114 (base 9) to base 8.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.39 times 581190\nAnswer: -226664.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 1. Let r(f) = 53*f - 3. Calculate 6*b(q) + 2*r(q).\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/((-6)\/10*(-15)\/18). Suppose 4*v + 3*t - h = -0*v, -2*v + 4 = t. Factor -1\/3*r**3 + 0*r**4 + 1\/3*r**5 + 0 + 0*r**v + 0*r.\nAnswer: r**3*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:04 PM and 4:16 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 24\/7*x + 3\/7*x**2 + 45\/7 = 0. What is x?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g*g**6*g*g\/(g\/(g*g**(-2\/3)))*g*(g**6\/g)\/(g**(2\/9)*g)*(g**(6\/5)*(((g\/(g*g**(4\/9)))\/g)\/g)\/g)**(-43) assuming g is positive.\nAnswer: g**(4978\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 31260 (base 16) in base 14?\nAnswer: 53516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2504 divided by -626?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 446194 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -470 + 486. Sort x, -4, -13, 3 in descending order.\nAnswer: x, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cplgjljgggglg. Give prob of sequence jjp.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16462 + 32431. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:28 AM and 8:53 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 145503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k - 1. Let l be d(-2). Let b = -3 + l. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31032 or -31033?\nAnswer: -31033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 693 or 694?\nAnswer: 693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 5*q - 19 = 0, 4*y + q = -4 + 1. Suppose 7 = 5*o - 2*c + 6*c, -o + 2*c = -7. What is the third biggest value in o, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 135 and 2835?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 229 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 55\/50 - 0 - ((-6)\/2 + 4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 1. Let j(p) = p**3. Let a be (-2)\/4*0 - -2. Let k be (-4 + 5)*(-1)\/1. Let r be (-2 + 1)*1 + k. Determine a*h(t) + r*j(t).\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + 39\/15)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9295, 18585, 27875, 37165?\nAnswer: 46455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.18 + 0.48. Which is the nearest to 0.3? (a) 0.5 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51681547 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 + 5*m**2 + 6*m. Let r be x(6). Suppose r = 28*g - 15*g - 2158. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 113*t + 150 = 88*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -22*v - 9 + 31 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -488316706 - 3*r - 4*r + 488316706.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -322 - -314. Let w(m) = 4*m**2 - 6*m - 15. Let i(z) = -z. Let u(b) = -6*i(b) + w(b). Is u(q) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35\/88 + -3\/11. Which is the second biggest value? (a) -0.9 (b) 23 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -365\/111 + -5\/111. Put y, -2, -4 in descending order.\nAnswer: -2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 - 3. Let k(m) = 6*m**3 - 2*m + 5. Let p(u) be the first derivative of 5*u**4\/4 - u**2 + 4*u - 2. What is i*p(r) - 4*k(r)?\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2574 and 61182.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -332 + 10?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2780693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 495324184 and 11606.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*sqrt(2058) + sqrt(2058) - (sqrt(2058)*-1 - sqrt(2058))*-1)\/(((1*sqrt(486) + sqrt(486))*-6 - sqrt(486))*-2).\nAnswer: -7*sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3c9152 - a?\nAnswer: -3c915c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7211 - -7988. What is the remainder when 2372 is divided by k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) 0.02 (d) -0.01 (e) -2\/9 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y + y - 159 = 3*a, a = -5*y - 163. Let r be (y\/44)\/(30\/(-16)). Suppose 4*v - 15 = 1. What is the smallest value in r, 1, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from lnlladnaada.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -eed7 + e?\nAnswer: -eec9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i*i**19*i*i*i*i)\/i)**16\/((i*i**(-4\/3)*i)\/i)**(8\/15))**(-2\/103) assuming i is positive.\nAnswer: i**(-34576\/4635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 + 9 - -7) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34222117?\nAnswer: 29, 1180073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i. Let r = 2 - 8. Let j = r + 4. What is the units digit of a(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + -3450940955509\nAnswer: -3450940955512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -26*f - 19. Let z(c) = 39*c + 28. Let a(d) = -7*n(d) - 5*z(d). Let j(g) = 6*g + 3. Calculate 2*a(t) + 5*j(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 2 - 2 - 3*p + 7*p - p + (-3 - 1 + 3)*(3*p + 0*p - 5*p) + 3*p - 2*p + 0*p - p - 2*p + 4*p)*(-2 + 6*p**2 + 0*p**2 - 3*p**2).\nAnswer: 15*p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.16 * -3829.\nAnswer: -612.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -20022 (base 5) in base 16?\nAnswer: -4ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 27 = -0*v - 3*d, 6 = -2*v - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 9*b + 70. Let w(k) = -8*k - 71. Determine 7*w(a) + 6*z(a).\nAnswer: -2*a - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -387100 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 34. Let b = s - -25. Let w = b - 2.9. Is w > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -21*w - 129 - 360 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.65 - -0.15. Let d = 8 + -5. Which is the nearest to 0.3? (a) 0.5 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 288711 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 8 + 7 + 11*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 12:50 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112775 is divided by 16110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 3*i = 169, -5*o - 4*i - 533 + 107 = 0. Let r = -50 - o. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/10*0\/1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15075 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from lkkluuuukblblk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -592*m = -1682*m + 61896 - 7663 + 15527 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 461*g*w**3 - 11*g - 4*w + 4 wrt w.\nAnswer: 2766*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -9304831 and 0.9.\nAnswer: -8374347.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*l + 23903 = -825 + 114068. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -d**2*u**2 + 141526*d**2 + d*u**2 - 54369*u**2 wrt u?\nAnswer: -2*d**2*u + 2*d*u - 108738*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -10 > -5021\/477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 5*x = 2*a - 1, 4*x - 6 = -5*a. Suppose -a*s - 3 = s. What is the units digit of ((-3)\/(-6))\/(s\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 991*z - 4523 - 805 = 4582 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 2*p + 38. Let r be j(-21). Suppose 17 = 5*x + 2. Put x, r, 11 in ascending order.\nAnswer: r, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2*g**2 - 1 - 2*g + 0*g**2 - 3*g. Let t be -2*(-1 + 3)*-1. Calculate the remainder when 20 is divided by w(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -75 - (3 - (-3 - 10 - (-8 + -4 + 9))).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-48)\/(-32)*(-8)\/24. What is the third biggest value in 2\/23, -0.02, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4624*f - 1174*f - 1162*f - 1154*f - 1131*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -5*u + 4 + 0 + 18*u**2 - 8*u**2. Let f be d(1). Let m be 0\/((-3)\/((-9)\/(-6))). Solve f*q - 4*q = m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 192236061 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2268 and 756.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 170, 170, 166, 158?\n\"Answer: -2*x**2 + 6*x + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2213173*a**4 - 10*a + 49841 wrt a?\nAnswer: 26558076*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.2327659s?\nAnswer: 232.7659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9 + 9. Suppose -25*c = -7*c - 54. Suppose 3*v - 377 = -4*k, 2*v + j*v - 252 = -c*k. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - 9 - (-20 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gop when three letters picked without replacement from {g: 4, p: 2, w: 4, o: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -343495800 to the nearest 100000.\nAnswer: -343500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 59771 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) 0.0427 (c) -72 (d) 0.81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 - 7*k**2 + 5*k + 9. Let b be q(6). Suppose -8\/11*c**b + 0 + 0*c + 2\/11*c**2 = 0. What is c?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -11442072 (base 8) to base 16\nAnswer: -26443a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 39 = -7. Suppose -462 + 1488 = 3*p. What is the third derivative of p*i**6 + q*i**2 - 308*i**6 - i**2 wrt i?\nAnswer: 4080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 620*a - 40 + 40.\nAnswer: 620*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 42274*o**6 - 5*o**5 - 8*o**3 - 6108401*o**2 - 1 wrt o.\nAnswer: 5072880*o**3 - 300*o**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 3042 divided by -6\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 319 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1082.82995 + 1077.83. Let l = v + 5. Round l to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/10716 and 17\/480?\nAnswer: 428640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -20 + 20.1. What is the nearest to -1 in -2\/3, -0.05, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 + 38\/3. Suppose 1\/3*s**2 - 1\/3*s - m = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 161 - 71 = 0. Suppose 29*c - 522 = 23*c. Calculate the remainder when c is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(6\/3 + -4). Suppose 1 - 8 = 3*n - d, 18 = -4*n - 3*d. Let c be (4\/n)\/(10\/(-15)). Solve y = c*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -182707 + 2037. What is s rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/(-21)*462\/56.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36982 is divided by 82.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -3*z. Let k(i) = 6*i + 5. Let p be -1 + (-1)\/(3\/(-6)). Let b(y) = y + 1. Suppose 10 = -2*o - 0. Let s(q) = o*b(q) + p*k(q). What is x(s(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 25 + -28a6cc?\nAnswer: -28a6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.698052m to micrometers.\nAnswer: 698052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -2*m**2 - 8*m - 3. Give o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + 1. Let s be b(0). Let p be 2 - 2 - -4 - s. Suppose -o = a - 74, -p*a - 2*a + o + 400 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 times 0.8\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -22340 (base 5) to base 14.\nAnswer: -81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 237561 = -41561. What is f rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 686 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 3.1. Let y = -34.4 - -34. What is the third smallest value in y, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/(u**(-1\/5)*u)*u**(-20) assuming u is positive.\nAnswer: u**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 277, 284, 239, 118, -103?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -13700000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31388509\/10 - -3149500. Let c be 2 - (-120)\/(-65) - (-554224)\/(-52). Let p = z + c. What is the common denominator of 13\/8 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 619060 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -34 - (-53 - (84 + -161))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 4, 0.07, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 104340 and 13630?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((6\/(-4))\/(12\/16))\/(-2). Let z be (t - (-2)\/(-6))*60\/(-4). Which is bigger: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112757161763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 115 = -3*t, 3*h = -h - 20. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11*4\/(1 + 3). Let t = -11 + v. Factor -3\/2*u**4 - 1\/2*u**2 - 1\/2*u**5 + t + 0*u - 3\/2*u**3.\nAnswer: -u**2*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, k: 1, m: 2, w: 1}. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 5*b, b + 21 - 12 = 2*c. Suppose 2*k - 6 = -c*g - 2, 4*k - 8 = g. Which is greater: g or -20\/19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 26 - 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w\/(((w\/w**(2\/5))\/w*w)\/w)*w*w)*w*(w*(w\/w**(-6))\/w)\/w)**46*(w\/w**4*w*w**(1\/7))**(-49) assuming w is positive.\nAnswer: w**(1513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 90016 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 10 + 6 = 0. Let b be (f\/30)\/((-12)\/10). Let n = 6 + -3. What is the closest to 0 in b, n, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 12*i - i**3 - 25 - 3*i + 9*i**2 + 39. Let x be h(10). Suppose -x - 3 = -7*t. Solve -t = 2*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 9*h**2 - 5*h. Let f(x) = -22*x**2 + 12*x. Let b(a) = -5*f(a) - 12*q(a). Let t(v) = -21*v**2 - 6*v. Calculate b(t(l)).\nAnswer: 882*l**4 + 504*l**3 + 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 169875535.\nAnswer: 5, 33975107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g. Let b(m) = 35*m + 3336. Give b(u(t)).\nAnswer: 35*t + 3336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -5*p + 154. Let r be s(30). Solve -3*a - 3 + 16 = 4*v, 0 = r*a + 3*v - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-72)\/(-14))\/(72\/336). Suppose 3*n - 2*l = -0*l + 12, -2*n = 4*l - m. Find the third derivative of -7*a**6 - 9*a**2 + 6*a**6 - 6*a**2 + 18*a**n wrt a.\nAnswer: 2040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2031 (base 5) to base 8\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 30801 + -30797. What is the closest to 0.02 in 2, c, -74, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 + -11050215455791.\nAnswer: -11050215455791.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/((-56)\/(-5)))\/(80\/(-64)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/231 and -28\/27.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-10 - -1) + (0 - (9 - 13 - -6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 - 13.07. Let m = -0.47 - r. Let v = 16 - 13. What is the closest to 2 in 2, m, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5761560 to the nearest integer?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -31*g. Let p(t) = -2*t - 68*t**2 + 191*t**2 - 58*t**2 - 56*t**2. Calculate u(p(f)).\nAnswer: -279*f**2 + 62*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -28 (base 12) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**3 - 6*b**2 + 4*b - 3. Determine u(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15658.\nAnswer: 2, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + j + 75 = 0. Let f be (6\/5)\/((-2)\/j). Solve 2 - f*a - 5*a - 4*a + 48*a**2 - 32*a**3 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 117987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -14, -21, -28, -35, -42?\n\"Answer: -7*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5 - (-1 + (-3 - 0)). Let a(j) = -j**2 + 10*j - 9. Give a(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23 - -38. Let q = -10 + w. Let y(m) = -m**3 + 6*m**2 - m + 1. Give y(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(((-8)\/6)\/(-4)). Let x be (-11)\/(-22) - 1\/j. Put -2, x, -3 in decreasing order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 47\/4 + (-5)\/(-20). Is p smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20 - -52) + -3 + 8 + -28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 154 - -5?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*g + 87*g - 6903 = -100*g - 60*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 606134951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 238 - 34. Suppose 82*g = 84*g - 112. Suppose v - g = y. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 10, a: 5, f: 4}. What is prob of picking 1 o and 1 a?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-4))\/(1 - (-38)\/(-36)). Let l be (1 - 7)*3\/h. Which is the smallest value? (a) l (b) -5 (c) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 283*y**3 + 3 + 311*y**3 - 5 to the form b*y**3 + c*y + j + l*y**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 38\/123, -4\/11, -0.3, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 3*r = 68, -33 - 15 = -t + 2*r. Suppose 2*b - 2*x + 4 = 64, -3*b - x + 90 = 0. Let w = b + -6. What is the greatest common divisor of w and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/15, 1, 3, -2, -3\/304, -5\/2 in decreasing order.\nAnswer: 3, 1, 4\/15, -3\/304, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 12854907 by -558909.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2790977971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1589.71455 rounded to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4 - -3 - -7) + -2. Suppose 2*s - 19 = -p*b + 7, 4*s = 20. Solve -33 + 13 = h + 3*z, -b*h + 3*z = 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7.426 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 579 - 576. Solve 0*i = v*i + 4*l - 15, 0 = -5*i - 4*l + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-57)\/(-9) + -3)\/(13\/(-39)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/1817 and -27\/253.\nAnswer: 19987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*h**3*q*r**2 + 14*h**3*r**4 - h**2*q*r**3 - 2*h**2*q*r**2 + h*r**4 - 2*q + r**2 wrt r?\nAnswer: 336*h**3*r - 6*h**2*q + 24*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-25 + -2 - -24 - (3 + -10)) + 34\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -90 by 604.\nAnswer: -45\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 16470 = -111*y + 18024 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/5 of a microgram in nanograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that j**3\/4 - 13*j**2\/2 + 217*j\/4 - 147 = 0.\nAnswer: 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v + 22 = -34. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -3*a - 2*a - 197, 5*m - 318 = -2*a. Suppose -227*o - 228 = -284*o. Calculate the highest common divisor of m and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 40503 - 24342. Does 73 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 + (75 + -39 - 35)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -63*f**3 - 9*f**3 - 8 - 2*f - f**2 - 34*f**3 + 7. Is c(-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 342 and 648?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) -3\/278 (d) -3170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/7 + (-64)\/126. Let j = -3100929\/4 + 775233. Sort -0.1, -3, j, p in ascending order.\nAnswer: -3, p, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17875 and 975?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 589222 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 19 = 2*h - 0*h, 5*u + 3*h = 0. Let z be -1*(-2 - (1 + u)). Suppose z = -3*g - 11*g + 1526. What are the prime factors of g?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11.94 - 0.06. Let h = t - -13. Which is the nearest to -0.1? (a) 5\/6 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -2*s**5 - 36*s**4 - 204*s**3 - 160*s**2 + 1950*s + 4500 = 0.\nAnswer: -6, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {f: 3, w: 1, q: 3, n: 3, k: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 6 - i**2 - 10 + 7.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -2.5397525*-0.2\nAnswer: 0.5079505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 - 6) + 29\/9. What is the second smallest value in 3, 2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6852242 + 2361384 = 106*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqhqqhqqqqqqqhqq. Give prob of sequence qh.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 7 + 1 - (2 + (8 - 2) + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40, -37, -46, -73, -124, -205, -322, -481?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnmmnzzmm. Give prob of sequence nn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -68.1 - -72. Let w = t - 4.55. Round w to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -63110 by -3.\nAnswer: 63110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04 less than -2060?\nAnswer: -2059.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-6))\/((-396)\/(-4158)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6\/1475 - 2783283\/10325. Let l = -269 - k. Factor -2\/7*p**3 - l*p**2 + 0*p + 0.\nAnswer: -2*p**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 78 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x + 1. Let j be -4 + 15\/(11 - 6). Suppose 2*b - 1 - 3 = 0. Let f(k) = -2 + b*k + 1 + 2*k. What is j*f(r) - 2*m(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 6*o + 14. Suppose 2*x + 3*s = 24, -5*s + 4*s + 4 = 0. Let m be g(x). Suppose 4*h - 103 + 23 = 0. What is the greatest common divisor of h and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 - 4*k**2 - 3*k + 1. Let j be o(-3). Let z = -3 - -8. Suppose 3*q - s + 3*s - 14 = 0, 0 = -3*q - z*s - j. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -6500, -6557, -6712, -7013, -7508, -8245, -9272?\n\"Answer: -8*i**3 - i**2 + 2*i - 6493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 339 - 915 = -2*n + 4*i, -3*n + 5*i = -866. What are the prime factors of n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (43 - 19) + -4 + -54 + -5\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 80137*z**2 - 16239 with respect to z.\nAnswer: 160274*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 4\/7 (b) -0.24 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -32297, -32304, -32313, -32324, -32337?\n\"Answer: -c**2 - 4*c - 32292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -9 + 13*s**2 + 9 + (5 - 1 - 2)*(-5*s**2 + 6*s**2 + s**2) + 0*s**2 - s**2 + 0*s**2 + (-2 - 2*s + 2)*(-2 + 2 - s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 49 = -26*f + 40*f, 4*i - 13 = -3*f for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-133)\/38 - (-22)\/12?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -288.526 + -0.474. Let f = 2.856 - -239.744. Let m = f + t. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1016*i + 61 + 45 - 308*i - 28 wrt i?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 + 22. Suppose -5*f + 320 = o*p, -5*p = 2*f - 225 + 82. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 5*p**2 - 3735*p = 0.\nAnswer: 0, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 24*p**3 - 4*p**2*y**2 + p**2 + y**2 + 7*y wrt p.\nAnswer: 72*p**2 - 8*p*y**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -354700 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*u - 219722 = -784258. List the prime factors of u.\nAnswer: 2, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 212, 433, 654?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 - -7. Let x(v) be the second derivative of v**4\/12 - 2*v**3\/3 + 3*v**2\/2 + 11*v. Let i be x(b). Solve 5*a = -3*q + 28, -2*q + 17 = 3*a - i*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 8*k. Suppose 0 = 3*j + 2*j + 10. Let u be r(j). Let g = -1 - u. Calculate the highest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 442*f**4 - 61*f**3 + 186 + 61*f**3 + 354 - 1503*f**4 - 2*f**2 wrt f.\nAnswer: -4244*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -0.1, 4, 24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60*n - 26*n - 35*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.076181*-531\nAnswer: -40.452111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/540 and -7\/30.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/22818 and 125\/6.\nAnswer: 22818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j - 3*p = -4*j, 3*p - 12 = -4*j. Let c = j + -4. Calculate the smallest common multiple of (-152)\/(-8) + -2 - 6 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-1364)\/2)\/(5 - (7 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - -7. Let p(j) = -16*j - 6. What is the units digit of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (56\/714)\/(-4)*6\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121761*u + 5*u**2 + 1 + 60869*u - 1 + 60892*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 25 = -0*v. Let o = -29 - -14. Let q be 5*-2*(-3)\/o. Put 2, q, v in decreasing order.\nAnswer: 2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, s: 8, g: 2, q: 9}. What is prob of sequence zggq?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3*4\/(-168) - (-3 + 11)\/(-16)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1726*s + 5254 = -29266 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 7 - 5, 5*p + 236 = -3*n. Is 18 a factor of (n\/10)\/(5\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -73 - -79. Solve 4*d = 3*u + 12, -3*d - n = u - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -720607.3 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/310270 and 75\/806702?\nAnswer: 4033510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - 4. Suppose 5*v + 0*v = 15. Let a be (i + v)\/(2 - 1). Solve 2*o - 3 = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*10680.463\nAnswer: 21360.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1653 + -39679\/24. Let s = -128338\/11 - -21557737\/1848. Let m = s - j. Calculate the common denominator of -83\/18 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 2:02 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a and 1 t when four letters picked without replacement from tctcaqtaqaqac.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k + 115 = 5*c + 3*k, -5 = -c - 5*k. Calculate the lowest common multiple of 6 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes before 2:56 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 88 - 73. Let s = m + -15.118. Let i = s + 0.1179854. What is i rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17a (base 12) in base 15?\nAnswer: -10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ocoiacatiaoiiiia.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + v - 18. What is the tens digit of (-23 - v)\/(-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 166 + -135.7. Let o = -25.3 + g. Which is the fourth smallest value? (a) 1\/4 (b) -2\/9 (c) -4\/7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**3 + 18*z**2 + 38*z + 47. Let m be t(20). Suppose 0 = m*k + 10*k - 6579. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 7 + 81. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81*a - 119 = 64*a. Suppose -a*b + 15144 = -6115. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a. Let g(l) = 4*l. Let j(x) = -g(x) + 8*w(x). Let t(n) = -n. Give j(t(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2.553762143 rounded to four decimal places?\nAnswer: 2.5538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 12074938 to the power of 1\/2, to the nearest integer?\nAnswer: 3475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/7 (b) 1 (c) -699 (d) 2 (e) -4 (f) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -11 divided by -950?\nAnswer: 11\/950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 + 37. Let q = r + -20. Which is smaller: -14 or q?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 455\/4 + (6 - 92\/16). Let g = -80 + z. What is the remainder when g is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -2*o - 2. Let k be q(-2). Suppose -3 = n - 0*t + k*t, -4*n - t + 16 = 0. Suppose -87 = -n*r + 48. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = -5*l - 3*q + 11, -3*l = -5*q + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/11 - (-168)\/44. Suppose 0 = -d*y - 0*y + 16. Let w = -20008 - -20022. Calculate the remainder when w is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9287061.82591538048238 + 2.13408462951762. Let g = z - 9287064. Let o = g - -0.04. What is o rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5932?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-8332)\/(-5) + (-902)\/55 + 17?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 990 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 305379878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*v + v. Suppose -4*w = v - 42. What is the remainder when 25 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 - -1*(5 - -2). Let t(j) = -j**2 + 6. Let y be t(0). Suppose -y = -n + c. What is the remainder when 38 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -246 - 18 = -12*g. Suppose -12*p + g = -2. What is the common denominator of 5\/(135\/p)*(-9)\/(-12) and 61\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 357, 3773, 13037, 31071, 60797, 105137, 167013?\nAnswer: 249347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 0 - (5 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -5, -5.8, 3951, -1\/6, 6?\nAnswer: 3951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -172 times 7.6?\nAnswer: -1307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 21900274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 742 - 348. What is the remainder when g is divided by (-30)\/(-225) - (-978)\/90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -364*o**5 - 123*o**3 + 244*o**3 - 121*o**3 + 4*o**3 - 4*o**3 + o**5 + (0*o + 0*o + o**2)*(-4*o**3 - 25*o + 25*o).\nAnswer: -367*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -147283468 divided by 2?\nAnswer: -73641734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -27*w**2 + 7*w - 15. Let u be l(-3). Is u equal to -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -0.5985, 10, -5 in descending order.\nAnswer: 10, 4, -0.5985, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.39 in -3, 5, -792, -1\/5, -9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/756974 and 117\/6220.\nAnswer: 7569740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3488046?\nAnswer: 2, 3, 581341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -2*j**3 + 6*j + 5. Let c(v) be the second derivative of v**3\/6 + v**2\/2 - 10*v + 2. Determine -3*c(u) + n(u).\nAnswer: -2*u**3 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2512)\/1336*(-1)\/10. Let z = 2\/167 + r. Factor -1\/5*x + z*x**3 - 2\/5*x**2 + 2\/5.\nAnswer: (x - 2)*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -2 + -2 + 3 - (17 + -26).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 786555.7 decades?\nAnswer: 94386684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 530960217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -782, 1977, 8274, 18109, 31482?\n\"Answer: 1769*l**2 - 2548*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, a: 1, f: 2, g: 2}. Give prob of picking 1 a and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00012249318 rounded to seven dps?\nAnswer: 0.0001225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 396 and 21780?\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 34 (base 6) to base 16\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 5*(-5 + (sqrt(98) + 1)**2*-2 + ((-1 + sqrt(98) + sqrt(98) + 0)**2 - sqrt(98))) + -4.\nAnswer: -315*sqrt(2) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes before 1:11 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7442852953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 244 = -431. Let c = q + -79. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + -65242a5?\nAnswer: -65242a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 92*q + 1753. Let r be k(-19). Solve 2*t - 9 = r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 4*a - 34. Let x be w(10). Suppose -11*q + x*q + 10 = 0. Solve 4*d = 5*n + 1, -6 = -0*d - 3*d + q*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20939\/45 + -466. Let c = 1\/45 + w. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -47141 * 0.2.\nAnswer: -9428.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2527 divided by -3678?\nAnswer: -2527\/3678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -5*g + 2*x, 53*x + 12 = -4*g + 54*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the first derivative of 51*r**4\/2 - 30*r**2 - 102. Find the second derivative of b(v) wrt v.\nAnswer: 612*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 4935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(1\/8)\/d*d*d*d)**(-14\/9)*(d**5\/d)\/d*d*d*d*d*d\/(d*d**(2\/71)) assuming d is positive.\nAnswer: d**(5395\/2556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -27*r - 9*r**2 - 23*r - 4*r**3 + 48*r - r**2 to a*r + s*r**3 + j*r**2 + t and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-4)*((-2)\/(-1))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 15*d - 330. Let v be b(22). Let n(x) be the first derivative of 4\/15*x**5 - 11 - 1\/9*x**6 - 1\/6*x**4 + 0*x**2 + v*x + 0*x**3. What is k in n(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -147*q**3 - 13872 + 5304*q - 131*q**2 + q**4 - 2*q**4 + 32*q**2 - 2*q**4 + 69*q**3 = 0.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -2*f - 3*t + 51, 0 = -f - 5*t - 27. Let v(s) = 65*s**2 - 26*s + 9. Let u be v(1). Let k = f + u. What is the remainder when 29 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**2 + 390516*c - 4296160.\nAnswer: 4*(c - 11)*(c + 97640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6671*n**5 - 76*n**3 - 2*n**2 + 117400*n wrt n?\nAnswer: -400260*n**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l + 15*l**2 + 3*l - 10*l**2 + 19*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, 19, 42, 75?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/x**(-34))**(-5))**(13\/6))**(1\/6) assuming x is positive.\nAnswer: x**(-2275\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -2 - 2*n**2 - 9*n + 27*n - 16*n. Let w(k) = -k + 1. Determine -4*w(q) - 2*x(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2581416 a multiple of 1258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be 47874\/(-3535)*(1 - 0)*-1. Let w = 92\/7 - u. Let j = -1 - 0. Which is the second biggest value? (a) j (b) w (c) 4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the second derivative of 72*c**5\/5 - 168*c**2 + c - 643. What is the first derivative of j(b) wrt b?\nAnswer: 864*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 4*m - 5377 - 25305 = 0, 10222 = j + 4*m. Round j to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the third derivative of z**4\/24 - 3*z**2. Let m(x) = -3*x**2 + 3*x - 3. Let s(q) = -m(q) + 3*r(q). Differentiate s(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.26 and -4.3.\nAnswer: -4.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 4933, 10038, 15435, 21124, 27105?\n\"Answer: 146*k**2 + 4667*k + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ypya when four letters picked without replacement from zpepyzyapeppppapp.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 930 smaller than 928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 386, 387, 388, 389, 390, 391?\n\"Answer: l + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 5*r = o + 6615, -4*r + 5*o + 8809 = 0. List the prime factors of r.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 44, 7, 275, -94 in decreasing order.\nAnswer: 275, 44, 7, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1117726 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-741)\/20) - (-525)\/(-9975)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -36980 smaller than -36260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.769596 less than 1838?\nAnswer: 1838.769596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 276*s = 290*s + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 + 1 - 1)*(146 + 156 - 302 + 288*z**2) + 2*z**2 - 4*z**2 + z**2.\nAnswer: 7775*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l - 4*o - 54 + 60, -5*l - 5*o = -10. Let j be ((-39)\/9)\/(2\/(-6)). Which is the nearest to 0? (a) -2\/23 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14*14058.69.\nAnswer: -196821.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 716234063.\nAnswer: 716234063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 244 is divided by 144?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 6*g**5\/5 + 253632*g**4\/5 + 23295492*g**3\/5 + 511701816*g**2\/5 - 1094304666*g\/5 + 111810744 = 0. What is g?\nAnswer: -42180, -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(270)\/sqrt(6) + (sqrt(5) - sqrt(10)\/sqrt(2)*3) + 4 + 0 - 5*((sqrt(320))**2 + 0 - sqrt(40)\/sqrt(32)).\nAnswer: -1596 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h**(-3\/4)\/h))\/h*h**4)\/(h**(-1\/3))**(-43) assuming h is positive.\nAnswer: h**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -8*-18\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 - 0.07. Let h = -0.43 + u. Let l = -19 - -21. Which is the third biggest value? (a) h (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*a = -65*a - 32. Suppose -3*x - 12 = x, a*x + 57 = 5*h. Suppose -4*n = 3*v + 54000006, h*v + 4 = 7*v. Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*a - 4*f - 20, f + 2 + 4 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -627 = 2*k - 3*r, r = 32*k - 33*k - 301. Let h = k - -627. What is h rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3e103 - 0?\nAnswer: -3e103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 56 (base 9) to base 5\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4500, -36009, -121556, -288165, -562860, -972665, -1544604, -2305701?\nAnswer: -3282980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 95660 rounded to the nearest one thousand?\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/25080 and 191\/330.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 2498 = 8848. Let u = d - -1878. Suppose 4*j - u = -28. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c (base 15) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3630 and 5129652.\nAnswer: 282130860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.22 - -0.12. What is the nearest to 0.1 in a, 2, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23 (base 6) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12\/(-7) + 6\/(-21). Let n = t + 3. Is (-30 - -7)*(0 - n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2392948933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 0*k - 140 = 0. Let v = k - 28. Solve w - 8 = 5*d, v*d + 5*d + 4*w + 18 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 106648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -10\/13*c**2 + 2\/13*c**5 + 80\/13 + 2\/13*c**4 + 116\/13*c - 46\/13*c**3 = 0. Calculate c.\nAnswer: -5, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 560865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 a, and 1 n when three letters picked without replacement from {w: 1, v: 2, k: 3, g: 2, a: 1, n: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10152 - -60?\nAnswer: 10242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.6, 0.133, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -191 = -q - 196 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87919253?\nAnswer: 977, 89989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u. Let l(g) = -21251*g. Determine l(j(p)).\nAnswer: -21251*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18344*d**6 - 74*d**2 - 403*d wrt d?\nAnswer: -2201280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -145 - -140. What is the nearest to 2\/13 in -0.25, w, 5, -2\/3?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/19, -10, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 2 = -17. Let c = a + -11. Solve 0 = 5*v - 3*n + 26, -4*v - 28 = -2*n - c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - -10 - (2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2 - v + 2. Let i be s(0). Solve 0*q - i = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 0 = -3. Suppose -2*t = -0*t, k*y + 4*t - 66 = 0. Calculate the remainder when 85 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 + 14*j**2 - 14*j + 15. Let p be i(-15). What is the third smallest value in -1\/7, p, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1898 - 1892. Let s = 1\/12 - -5\/12. What is the third biggest value in z, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -259*x + 1232 = -263*x. Are x and -308 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -22 - 31 - 3*a - 14 + 59. What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -5304, -10463, -15622, -20781, -25940?\n\"Answer: -5159*n - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 45.954 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*k**2 - 6*k**3 + 4*k**2 + (-36*k - 9*k**2 + 36*k)*(-2*k + k + 3*k) - 8 + 8 - 9*k**3.\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 8\/5*z**2 - 22\/5*z + 2\/5*z**3 + 12\/5 = 0 for z.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15451327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 46 = b - 0*l, b = 3*l - 36. Let r(m) = -4*m - 82. Let s be r(b). Solve -5*g + s - 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 120519983?\nAnswer: 19, 293, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/7, 0, -1.617 in descending order.\nAnswer: 0, -4\/7, -1.617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 102385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -7. Suppose -l - 2*l + 83 = k*h, -3*l = -2*h - 79. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h + 1319122*q = 1319119*q + 13, 38 = 2*h + 8*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4551 is divided by 4541.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45666664?\nAnswer: 2, 67, 85199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 865*s**2 - 1751*s**2 + 2*s**3 - s - 3 + 883*s**2 to the form x*s**2 + c*s + t + m*s**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the first derivative of 0*o - 8\/3*o**3 + 7 - 2*o**2 + 0*o**4 + 2\/3*o**6 + 8\/5*o**5. Suppose r(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = 4*b + 26, k = -4 + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -2. Suppose -n - 14 = 2*x, -2*x + x = 3*n + 22. Let c = v - n. Solve s + c = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 452, 1124, 1810, 2516, 3248, 4012?\nAnswer: 4814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*y**(-6)\/y*y))\/y**(-5))\/(y**(2\/5)\/y)**29 assuming y is positive.\nAnswer: y**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (5\/((-225)\/12))\/((-5)\/15). What is the nearest to 1 in 2, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 divided by -180?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 17587.69 millimeters?\nAnswer: 17.58769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*z - v, 3*z + 6 - 4 = v. Let y(x) = -x**2 - x. Let o be y(z). Let t = o + 4. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + -4 - (-16 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -6*f**3 - 2*f - 2. Let l be k(-1). Let m be (-24)\/9*(-2587494 - l). What is m rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/7*n**2 - 254\/7*n - 253\/7.\nAnswer: -(n + 1)*(n + 253)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 9*i**2 + 5*i. Let z(f) = -f**3 - 9*f**2 - 4*f. Let y(l) = -4*s(l) - 5*z(l). Find the third derivative of y(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 567001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, z: 4, e: 4, n: 5}. What is prob of sequence ez?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -7*m**2 + 1. Let w be i(1). Let h be ((-3)\/w + -1)*0. Suppose 2*g + g - 9 = h. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 232*m + 1129. Calculate v(-6).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 707679.\nAnswer: 3, 7, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 979315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2060 and 2369.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/2 + (-50)\/(-4). Suppose 4*p = -3*j + o, 0*p - 2*p = 5*j - 9. Find the third derivative of y**p - 2*y**2 - 2*y**3 + 3*y**3 + 3*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/3*5*120\/40.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 2\/9, 11, 3057, 4 in descending order.\nAnswer: 3057, 11, 4, 2\/9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.08 + -3.08. Which is the closest to -3? (a) m (b) 2\/5 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 0.1, 0.3, -7, 10.941?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 11:11 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -5*h**3 - 10*h**2 - 21*h - 26. Let n be x(-8). What is n rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 32, 43, 64, 101, 160, 247, 368, 529?\n\"Answer: f**3 - f**2 + 7*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes after 1:25 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 87227.23 hours in seconds?\nAnswer: 314018028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z**2 + 0*z**2 - z**2 + (6*z - z - 3*z)*(-972 + 972 - 147*z).\nAnswer: -297*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1819)\/255 + (-4)\/(-30). Let l(c) = 2*c**2 + 11*c + 8. List the prime factors of l(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 9 = 2*r, -6061 = -3*q - 7*r + 2*r - 6031 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m - 3. Suppose 2*s + 5*i - 3 = 0, -46 = -5*s - i - 50. Let t(a) = -a**2 - a - 1. What is s*c(o) + 2*t(o)?\nAnswer: -2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*s**2 - s**2 - 2*s**2)*(3 - 3 + 2) - 9*s**2 + 41*s - 41*s)*(0*s - 2*s + 3*s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (3 + (-1*sqrt(2299) + -1 - ((sqrt(2299) + sqrt(2299)*3*-5 + sqrt(2299) + sqrt(2299))**2 + sqrt(2299))))*5.\nAnswer: -1655270 - 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 56628197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.3, 5\/4, -39, -27\/137.\nAnswer: -39, -0.5, -0.3, -27\/137, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*v, 2021 - 31563 = -2*g + 5*v. What are the prime factors of g?\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 40993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 32200 and 0.24?\nAnswer: 7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k = 3*w - 7, -2*k + 5*k + 2 = 5*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 109 - 107.74. Let j = -3 + w. Round j to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 4*((-5 + (sqrt(539) + 2)*3 + 1 + -2 + sqrt(539))*4)**2)*3.\nAnswer: 1655823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/51 and -53\/170.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -3, -1\/4, 10, 204 in decreasing order.\nAnswer: 204, 10, 1\/2, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4862339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-23)*b**4*b**30*b**2\/b assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002400523 to six dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 AM and 1:33 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 125, 504, 1127, 1988, 3081, 4400, 5939?\n\"Answer: -c**3 + 128*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 5*x**2 - 4*x + 10. Let g(d) = d**2 - d + 2. Let p(q) = 11*g(q) - 2*w(q). Let v be p(4). Solve v = h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 83 - 19. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t + 105 - 119 = 4*t. Let l(a) be the third derivative of -a**5\/20 + a**4\/12 - a**3\/2 + 5*a**2. What is l(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2*w**2 + 16*w - 44. Calculate g(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.2 + -0.7. Let i = -1.73 + 0.03. Let y = 2.1 + i. Sort 2, y, o in increasing order.\nAnswer: o, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1573)*-6*2 - sqrt(1573)) + 5)**2.\nAnswer: -1430*sqrt(13) + 265862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -5971609 minus -10?\nAnswer: -5971599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -51138*f. Let t(s) = -7*s**2 + 110*s. Calculate r(t(c)).\nAnswer: 357966*c**2 - 5625180*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16 - 9 - -31585 - 0.\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4377 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -121 (base 15) in base 6?\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s**0*s*s*s)\/s**(-8)*(s**(1\/4))**28 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 5)*(-o + 4*o - o) + 6*o + o - 4*o - 719*o + 17*o - 935*o + 2*o.\nAnswer: -1628*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 113 (base 7) to base 14\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -115*y**2 - 40*y**4 - 2*y + 31*y**4 - 54*y**2 + 5*y - y as f + d*y**4 + s*y**2 + b*y + n*y**3 and give s.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -664*f**4 - 70*f**2 - 5*f. Let b(w) = 1327*w**4 + 140*w**2 + 11*w. Let v(c) = 13*a(c) + 6*b(c). Find the third derivative of v(m) wrt m.\nAnswer: -16080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/((q\/(q*q\/(q\/((q\/(q\/((q**(-1\/4)*q)\/q)*q))\/q))*q))\/q*q))**(-14))**45\/(((q*q*q\/q**7)\/q)\/(q*q**(4\/5)))**(-8\/3) assuming q is positive.\nAnswer: q**(4181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 598 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - 9\/((-36)\/(-40)). Let f = g - -14. Let -12 - 7*v**2 - 16*v + v**2 + f*v**2 = 0. What is v?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(6 - 7) + (-1020)\/525?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 5*l + 30 = 0. Let i be (-3)\/l - 10\/(-4). Find the third derivative of -12 - o**4 + 2*o**i + 12 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 779, 4, -3, -5, 4\/5, 0.2?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 57 + -51. Solve -n - 9 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 40572821*z**5 - 234866*z**2 + z + 2?\nAnswer: 2434369260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4908 + -1136. Let j be a\/36 - (50\/18 - 3). Calculate the greatest common factor of 30 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 + -2)*(-94848)\/20748.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/35 (b) 2\/11 (c) 7 (d) -172 (e) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 13*a**2 - 6*a. Let w(c) = 12*c**2 - 5*c. Calculate 5*u(g) - 6*w(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 1 - 16 = 0. Find the third derivative of 2*m**4 - w*m**2 - 3*m**4 - 6*m**2 + 8*m**4 wrt m.\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + 68\/(-20))*-15. List the prime factors of 507\/(-52)*22*(-8)\/c.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 14692, 29447, 44256, 59119?\n\"Answer: 27*n**2 + 14674*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y**2 - 17*y - 64. Calculate v(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 88.2706 times 0.3\nAnswer: 26.48118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 12917*g + 12923*g + 910 = 25854*g for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 14*j**2 - 1006*j - 4832. Give n(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 10*c + 5*c)*(0 - 3 + 2)*(0*c + 3*c + 0*c).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n = -4*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j**3 + 2*j**3 - 4*j**3)*(0*j + j + j + (-2*j - 3*j + 3*j)*(-1 + 3 - 3) + 8*j - 1 + 1)*(1 - 1 + 2).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 891 + -854. Suppose 21*p - 32 = q*p. What is the fourth smallest value in -0.5, -72, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 13 = -2*g + 8, -q + 9 = g. Let m be -1 + 15 + 5\/5. Calculate the greatest common factor of g and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44)\/(sqrt(36)\/(sqrt(9) + (sqrt(81) + sqrt(9) - sqrt(9)))))**2 - ((sqrt(11) - -1*sqrt(1100))**2 + sqrt(11) + -1 + -1 + sqrt(11)).\nAnswer: -1153 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36 and 135452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**4\/7 + 172*l**3\/7 - 4896*l**2\/7 + 5888*l - 112640\/7.\nAnswer: 2*(l - 8)**3*(l + 110)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be (102\/90 + (-4)\/3)*(-23 - -7). Factor -4*w**2 - 8\/5*w + u - 6\/5*w**3.\nAnswer: -2*(w + 2)**2*(3*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 4:58 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = 2*n + 21. Suppose -4*z - 8 = 4*s, 3*s = 2*z - 2*s - 17. Let b = n - z. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7.32 + -7.5. Let j = 0.22 - d. Let r = -0.26 + -0.04. Which is the nearest to -2? (a) 0 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 0.03 (c) -5 (d) 1160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 - 4*j**2 + 3*j. Let r be c(3). Let t(m) = -m**2 - 12*m - 9. Let f be t(-11). Sort r, f, -4 in ascending order.\nAnswer: -4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -103 + (118 - -158 - 82)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4\/(-6))\/(10\/45). Which is the biggest value? (a) y (b) -1\/22 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -5. Let k = 9 + h. Let j = 6 - 5.6. Which is the third smallest value? (a) 2\/7 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -2 + 7. Let q = 65 - 65.1. Which is the third biggest value? (a) q (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 14. Let i = q - -0.5. Put 0.5, i, -1 in increasing order.\nAnswer: -1, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2414627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 35 = 3*g + 9, 2*g + 2*l = 12 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*k - 6*k + 13*k.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 4*j = 7*w - 196, 4*w = -3*j + 377. Let q = w + 7. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2494 by -1247.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 6) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 15228, 29467, 43706, 57945, 72184, 86423?\n\"Answer: 14239*d + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -360.449 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 26324 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15 - 5. Let u be (w - 13)\/(1 + 0). Let v(m) = m**2 + 4*m + 3. Give v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3474116 (base 8) to base 12\nAnswer: -398952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 12*g. Let j be r(9). Let k = 18 + j. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(-16)\/6*21. Is 2952\/w + (-6)\/(-21) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**1\/((j\/(j\/((j*j**(-4)\/j)\/j)*j))\/j)*j*j**(-2)*(j*j\/(j\/(j*j**(-4)*j)))\/j*j)**(1\/53) assuming j is positive.\nAnswer: j**(6\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 37188500 to the nearest 100000.\nAnswer: 37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.051 + 37.949. Let q = -37.99991 + g. Round q to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 175171 and 32659.\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 537905 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 1 = 4. Let h = v - 1. Suppose -3*u + 21 = -h*u. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 239 (base 11) to base 15\nAnswer: 13e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 56741 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/9)*c)\/(c\/(c\/(c\/(c*c\/(c\/c**(2\/9))))))*c**(-3)\/c**(1\/5) assuming c is positive.\nAnswer: c**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -2*u**3 + 4*u**2 - 2*u. Let f(b) = -b**6 + 9*b**3 - 16*b**2 + 9*b. Let k(i) = 4*f(i) + 18*s(i). What is the third derivative of k(d) wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -12\/11, -3, 4?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 10 = 25, z + 3*h = -16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5142859.37 rounded to the nearest ten thousand?\nAnswer: 5140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/3)\/(39\/(-117))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.3 (c) -0.08 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p. Let v(a) = 20852*a - 244. Give v(z(b)).\nAnswer: 20852*b - 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, w: 8}. Give prob of picking 1 w and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-54)\/(-36)*1\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*a = 21*a - 472 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 96 times 0.1737?\nAnswer: 16.6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 7842.33 centimeters to micrometers.\nAnswer: 78423300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 51 + -20. Suppose -5*o + 55 = -5*r, a = o + o + r. Let c = o + -9. Solve 0 = -c*j - 14 + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -526*a**2 - 10*a. Let g(w) = -22384*w. Determine k(g(c)).\nAnswer: -263548857856*c**2 + 223840*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 5*f - 4 = 0, 0 = -i + 5*i + 3*f - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 12 = -21. Suppose f*q - 75 = -9. Let x(g) = g**3 - 2*g**2 + 2*g - 2. Let k be x(2). Solve q + 2 = -k*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -258818 by -98.\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.2 - -0.2. Let t = -5.4 - -0.4. Which is the closest to -0.1? (a) -1\/2 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 4*s - m, -5 = -s - 0*s - 3*m. Let w = s + 2. Let z = w - -14. Is z at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151033 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -183078 + 183430 = 16*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -0.4 (c) -4 (d) 16\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 5 - 8 = -5*o, -4*o = 5*n - 15. Suppose l + 0 - n = 0, 3*s - l = 4251. What are the prime factors of s?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -50.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of -k**3\/3 + k**2 + 7*k - 26. What is r(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 1. Let d(m) = 1 - 26*m + 52*m - 31*m + 8*m. Calculate -d(z) - 2*t(z).\nAnswer: -3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 395 and 148046?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + w + 55 = -4*w, -4*s + 5*w + 65 = 0. Suppose h - 2*h = -k + 13, 3*h = k - 15. Suppose -3*n = k, n = p + 4*n + s. Solve p*u = u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 890328726 divided by 138551?\nAnswer: 6426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(10\/(-50)*8)*(-4)\/9. Let k(m) be the second derivative of 0 + r*m**4 - 22*m + 0*m**2 + 11\/3*m**3. What is the second derivative of k(z) wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -418 = -7*q + 114. Suppose -236 = -2*a - 5*t, a - 2*t - 173 + 37 = 0. Let x = a - q. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1052.2 + -1052. What is the third smallest value in 4\/3, 3\/4, 2, t?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i + 12, 5*g - 75*i + 78*i - 912376 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4028942508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 308374 = 26*u. Suppose -4*p + u = -g, -6*g = -3*p - 4*g + 10509. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -316*y**3 - 320*y**3 + 1271*y**3 - 320*y**3 - 2 - 319*y**3.\nAnswer: -4*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than -61.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 231393207 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c*t**3*u - 18*c*t**3 - 3*c*t**2*u**2 + 3*c*t**2*u - 729*t**3*u**2 + 9*t**3 wrt u.\nAnswer: -6*c*t**2 - 1458*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -8378387000 to the nearest 1000000.\nAnswer: -8378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 8 = 3*i. Suppose i*h - 6*h = -71120. Round h to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -4*l - 541, -2*d + 3*l = 6*l - 389. Let p = 303 - d. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-3\/2)*v**(-20\/11)*v\/v**(-3)*v\/(v\/(v*(((v*v*v\/v**(3\/4))\/v)\/v)\/v))*v*v)**(-48) assuming v is positive.\nAnswer: v**(-2076\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-6*(6*sqrt(133)*1 + sqrt(133) + sqrt(133)))\/(2*-3*(sqrt(7) + sqrt(112))*4).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.5857 + -42.5857. Which is bigger: j or -1\/104?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 - 172*j. Let v(p) = -3*p**2. Calculate f(v(s)).\nAnswer: -9*s**4 + 516*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -554c (base 13) to base 2.\nAnswer: -10111001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 2*j - 6, -3*j + 0*j = 2*b + 4. Suppose j = 6*r + 2*r - 32. Solve -r*y + 0*y - 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/b**(-7))\/b**(-8)*(b\/b**(-5\/3))\/b*b*b*b**(-1\/6)*b)**(-1\/5) assuming b is positive.\nAnswer: b**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/9)\/(22\/198). Suppose 28 = t - l - 3*l, 47 = 2*t + l. Solve t = -u - 5*k, 0 = -4*u + 2*k - 6 - q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 60613264 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -76, -113?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111001000011101 + -110000111001101?\nAnswer: -1101001111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - 14*r - 14. Calculate f(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/3 - (-5838)\/63. What is the highest common divisor of 31 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9.4 - -8.4. What is the closest to k in -5, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 971707 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence isi when three letters picked without replacement from {i: 2, j: 4, s: 4, o: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 9526800*p + 3948 = 9526884*p for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 69244101 and 46162734.\nAnswer: 138488202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 313 or 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 38\/5 - -12*3\/(-60). Suppose -48 = -10*v + o*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of 0 + 41\/6*a**3 + 101*a**2 - 1\/12*a**4 + 26\/15*a**5 + 0*a. Find the second derivative of r(z) wrt z.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.2 or 949\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2643, -5132, -7389, -9408, -11183, -12708, -13977?\n\"Answer: b**3 + 110*b**2 - 2826*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 2*p**2\/5 - 18916*p\/5 + 49114 = 0.\nAnswer: 13, 9445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {y: 5, k: 4, m: 1, e: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-487)\/(-4) + 2\/8. Suppose -q + p = -8. Let g = 284 - q. Calculate the greatest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2518829 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of 383*o**7\/42 + o**6\/15 + o**5\/10 - 854*o**4\/3 - 5894*o. What is the third derivative of m(y) wrt y?\nAnswer: 22980*y**2 + 48*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -27566, -55130, -82694, -110258?\n\"Answer: -27564*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -1393387+2\nAnswer: -1393385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -111*h - 22 = -122*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 3*b + 4. Let y(d) = 4*d + 3. Let n(k) = -1. Let g(v) = -2*n(v) + y(v). Let z(j) = -4*g(j) + 5*u(j). Let a(i) = 10*i. Determine z(a(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -150 - -1501\/10. Which is the second biggest value? (a) j (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1850053630 to the nearest one hundred thousand.\nAnswer: -1850100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-6)*(-4 + 884\/26).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4a5c5 - 6c6?\nAnswer: 49bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 1425375880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*v + 265 - 208 = 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**2 - 9*m**2 + 6*m**2. Let k be (-5 - 1)\/(-1) + -2. Let g(w) = 4*w - k*w + 3*w. Calculate g(c(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 164 divided by 14\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15 + (4\/4)\/1. Suppose 7 - s = -3*p. Suppose 1113 = p*a - 0*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that l**2 - 669227*l + 8699782 = 0.\nAnswer: 13, 669214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 958 = -65*n + 450*n + 6733 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -13, 5, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 154 = n + o, 4*n + 4*o = 592. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6536.053 years to decades.\nAnswer: 653.6053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**1)**(-28)\/((b**(-7\/4)*b)\/b**(-1\/4)))**(-1) assuming b is positive.\nAnswer: b**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**5 + 0*t**3 + t + 0*t**3 + (-2 + 3 - 4 - 8*t**5)*(-1 - 1 - 3).\nAnswer: 42*t**5 + t + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.2 - -12.8. Let r = 0.6231 - 0.1231. Sort t, -5, r in increasing order.\nAnswer: -5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*q = -46*q + 9327. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -849*q - 550?\nAnswer: -849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 251, -0.05?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cvcg. Give prob of sequence cg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**2*a**5)\/(a**(-1\/4)*a**(-2\/9)*a) assuming a is positive.\nAnswer: a**(233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2153 + -828903\/385. Suppose -2*w = -6*w. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109 - 139 = -5*a. Solve 4 = 8*z - a*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -11796.19 and 578154395.\nAnswer: 578142598.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v**3 - 109*v**2 + 70*v - 40. What is the hundreds digit of l(54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 901 = 2*b - 5*b, -k - 1501 = -5*b. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -9*g**2 + 67*g - 3. Let u be w(12). Let h = u + 512. Solve -h*z + 16*z = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 248, 506, 764, 1022, 1280, 1538?\n\"Answer: 258*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*u + 7*t - 51 = 17*u, 3*t = 18. Solve 24*h = 33 - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142*u - 8700 = 113*u. What is the lowest common multiple of u and 405?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sgpgpgglgppsl. Give prob of picking 1 s and 1 p.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0*((-8)\/40)\/((-6)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -6\/5 (b) -5 (c) -2\/19 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*p**3\/5 + 57*p**2\/5 + 24*p\/5 - 12\/5 = 0. Calculate p.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 + 15 = 4*u. Let h(j) = -j**2 - 5*j + 2. Let d be h(u). Suppose -2*f = d*f + 4, 5*z - 2*f = 2097. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.8, 251, -1\/6, 5 in descending order.\nAnswer: 251, 5, -1\/6, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1841836445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 86576, 86408, 86240, 86072, 85904, 85736?\nAnswer: 85568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 5 = t. Suppose -4 - t = -3*q. Differentiate 13 + 11*s**4 + 142*s**3 - 142*s**q wrt s.\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-136)\/170)\/(2\/(-125)). Calculate the greatest common divisor of n and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n + 6. Let f be y(-5). Let x(a) = 7*a - 4*a - 5 - a. Let j be x(8). What is the highest common divisor of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*l = 58*l - 5*o - 5, -5*l + o = -13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 58785289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 + 1. Let j(l) = 2*l - 7. Let s(q) = 2*q - 5. Let i(c) = 2*j(c) - 3*s(c). Determine i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9362333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-9)\/(-12) - (-11)\/(-44))*-12. Let i(k) = k - 12. Let f be i(6). Is f < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 791462 is divided by 369?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, l: 4}. What is prob of picking 2 l and 2 d?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 - (4 - (1 + 0)). Suppose 3*n - 23049 = 42498. Suppose p = 20*l - 3131 - n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31772*q**3 + 32115*q**3 - 65218*q**3.\nAnswer: -1331*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3\/35 - -17\/210. Let j be (-22)\/(-12) - (10 + -8). Which is the smallest value? (a) y (b) j (c) -2 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 942582512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/313463, 5, -5?\nAnswer: -2\/313463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 18083353.\nAnswer: 3\/18083353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 5 - 10. Let p be (-98)\/(-70) + 16\/10. Solve c = -p*c - y*r - 6, 14 = -c + 5*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9945521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 500 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 12 = -0. Let d = 359 - 211. Suppose 4*b - 5*l = -l + d, -l = -q*b + 103. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -643119324*k**2*z**3 - 2*k*z**2 - 4*k*z - 14447*z**3 + 13*z**2 + z - 1 wrt k?\nAnswer: -1286238648*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 653*w - 20703 + 3979 = 201*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 10 = -j - 5*o, 5*j - 4 = o. Let g be 2 - 5*(-1)\/j. Suppose g = s - 12. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 42 = 3*z, 15*w = 4*z + 14*w - 41. Suppose 0 = -z*l - 18*l - 58. Sort -1, -5, -3, l in decreasing order.\nAnswer: -1, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -347592*13\nAnswer: -4518696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(1\/3)*g)\/g)**(2\/9)\/(g**4*g\/(g*(g*(g*g*g\/g**(1\/6)*g)\/g)\/g*g)*g*g)*(g*g*g\/(g\/(g*g**(-3\/7)))*g**6)\/(g\/g**0)**(-9\/5) assuming g is positive.\nAnswer: g**(15647\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-14\/3)*i**(-9\/5)*(((i**(-10)*i)\/i)\/i*i)\/(i\/i**(-6\/13)) assuming i is positive.\nAnswer: i**(-3496\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -110286550 divided by -26290.\nAnswer: 4195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -30 - -29. Let c be 23 + -20 - (y - -4). Solve c = -5*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 13769 - 44166 = -2*w, 0 = -5*w + d + 76018. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 14. Suppose w = 2*y - 3*y + 94. Let h = 158 - y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7828 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5\/8 - -15\/8. Let o = -1.7 - -3. Let h = o + 2.7. Which is the smallest value? (a) j (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1554, 3110, 4668, 6228, 7790, 9354, 10920?\n\"Answer: r**2 + 1553*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11 - -10. Let k(z) = 4*z - 6. Let r be k(5). Suppose 5*d + 4 = r. What is the closest to 1 in v, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**3 - 2*f**2 + f + 2. Let d be x(2). Let h be (-3)\/(-1) + (d - 5). Solve 1 + p**h + p**2 - 1 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8028 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1195*p - 140 - 1196*p + 490.\nAnswer: -p + 350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -7184 divided by -3592?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 539527478?\nAnswer: 2, 7, 38537677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -19*s - 3. List the prime factors of b(-18).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3.882, -3, -1 in increasing order.\nAnswer: -3, -1, 3.882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1924784160 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 205, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4412872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*v - 15*v - 13*v**3 - 13*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of -2 + -1 - (-46935)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -3*n - 31. Let a(l) = -l. Let x(i) = -3*a(i) - q(i). Is x(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -267330237424 + 0.2.\nAnswer: -267330237423.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 78809 = -5*o + 23805, 4*o + 2*l - 82080 = 0. Let b = o + -32842. Round b to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-105)\/70)\/(5\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/313034 and 111\/20.\nAnswer: 3130340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 29385580 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8090796t to grams.\nAnswer: 809079.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57042?\nAnswer: 2, 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1829*z + 18408 = 1835*z. Calculate the highest common factor of z and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3*d + 7. Let v be u(-5). Let c be (-22)\/(-7) + v\/56. Sort 4, c, -5 in increasing order.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 10, o: 4}. Give prob of sequence oi.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 1 (b) 7\/4 (c) -6 (d) 0.3 (e) 1.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**3\/11 + 1588*c**2\/11 - 853608*c\/11 - 12256272\/11 = 0 for c.\nAnswer: -1158, -14, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4221)\/(-804)*(2 + 4\/(-6)))\/((-1)\/(-9))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of 2*r**3\/3 - 7*r**2\/2 - 9*r - 143. Let k(j) = j**2 - 3*j - 5. What is -6*i(s) + 11*k(s)?\nAnswer: -s**2 + 9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15473 - -15474. Which is smaller: 2\/6883 or f?\nAnswer: 2\/6883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6412 + -5584. What is the remainder when z is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 63*i + 172. Let l(y) = -42*y - 123. Let w(r) = -7*l(r) - 5*v(r). Let s(k) = k. Give 2*s(o) - w(o).\nAnswer: 23*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 72*m - 4*m**2 + 2 + 5*m**2 - 5*m**3 + 2*m**2 - 70*m as f + u*m + g*m**2 + v*m**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 73 at least 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 - 2*k**2 + 50*k - 11. Let c be y(6). Let w(i) = 18*i**3 + i**2 - i + 2. Calculate the least common multiple of 92 and w(c).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56704 is divided by 4048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 + 10*a**2 - 9*a + 3. Suppose 5*c = -0*c + 45. Let u be n(c). Suppose -3*h + r - 10 = -5*h, 4*r = u*h - 4. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -247524\/23 + 10762. Let j(l) = -3*l + 3. Let m be j(3). Put 5\/4, m, i in increasing order.\nAnswer: m, i, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*s**2 + 2*s**2 + 0*s**2 + 22*s + 5*s**2 - 22*s + 2 - s**2 - 2 + (2*s + s - s)*(s - s - s) + (-2 + 1 + 3)*(-s + 2*s**2 + s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/4*52624\/(-3542))\/(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 7 = 4*n, 3*n + 10 = 2*j. Let z be j*(1 - 0) + 0. What is the third derivative of 0*d**5 + d**5 - d**z + 0*d**5 + 4*d**2 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-5\/3)*x**15)\/(x\/(x\/(x\/(x**(-4)\/x)))*x**(3\/4)) assuming x is positive.\nAnswer: x**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16, 277, 542, 811?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 3*i + 32000002 = i, 0 = 4*k + 3*i + 32000003. Round k to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 4*f + 37, -2 = 2*k - 3*f - 0*f. Let h = 4 - k. Solve -27 = -5*n + 2*y, -3*n + y + h = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 9273262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 30465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1183.1*36\nAnswer: -42591.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 851 divided by 3?\nAnswer: 851\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -673461*w**2 - 143 + 143.\nAnswer: -673461*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -j**5 - 4155510*j**2 - 23*j - 83783 wrt j?\nAnswer: -20*j**3 - 8311020","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 - 3*o + 1. Let p be q(2). Let y(z) be the second derivative of -5*z**3\/6 + z**2 + 202*z. What is the units digit of y(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(495)\/sqrt(36) - sqrt(55))\/(sqrt(539) + -2*sqrt(539)) + (sqrt(140) + sqrt(140)*-3)\/(-5*(sqrt(49)\/sqrt(7) + sqrt(7))).\nAnswer: 23*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(171) + -3*sqrt(171) - 3*(((sqrt(190) - 3*((-3*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190))) + sqrt(190))\/sqrt(10))**2.\nAnswer: -11171 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/2 (b) -1079636 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5464.9412 + -5469. Round x to two decimal places.\nAnswer: -4.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*k = 247*k - 128*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 AM and 6:41 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/12 + 14052\/16. Suppose 0 = -2*l + 4*o + q, -3*l + 1058 + 294 = o. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 - 5 + 1)*(232 - 458 + 2*o**2 + 230) to the form m + r*o + x*o**2 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -909*i + 896*i = -5954. List the prime factors of i.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25742114.001994 - 25742346. Let x = -232 - w. What is x rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*x + 114 = 4*u, -2*x + x - u + 23 - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 42288 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: Let h(k) be the first derivative of -k**4\/4 + 4*k**3\/3 + 3*k**2\/2 + 3*k + 3. What is the tens digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 + (-8)\/3)*3. Suppose 4*i - j + 17 = 0, 2*j + 21 = -5*i + 2*i. Let v = o - i. Solve -p + 2*c = 2*p - 20, -4 = 2*p + v*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 166*r - 92*r - 9*r**2 + 314*r + r**2 + 3*r**2 + 8*r**2.\nAnswer: 3*r**2 + 388*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2 + t - 55 - 3*t + 18 + 18. Let r(x) = 1. Determine j(f) + 2*r(f).\nAnswer: -2*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 2*w = -6 - 10, 5*w = -5*x + 30. Suppose 0 = -x*o + 2*o + 38. Suppose c - 5*j - 24 = -j, -o = -c - j. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1309 or -1306?\nAnswer: -1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*b = -101*b - 2, -74 = 14*j - 4*b + 2*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -702*t + 77 + 76 + 63 - 216 + 653*t**2 wrt t.\nAnswer: 1306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 36*y = -123, -2*c + 28*y - 31*y - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the third derivative of 283*a**5\/20 + 341*a**3\/2 - 77*a**2. Differentiate t(w) with respect to w.\nAnswer: 1698*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1242 - -565. Let v = -649 - w. Let l = -52 + 158\/3. Which is the nearest to v? (a) l (b) 0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + 6*c + 6 = 0. Suppose c*i = 4*i. Suppose -15 = -a - i*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26473.\nAnswer: 23, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5273276866 to the power of 1\/4, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 4)*(q - 1 + 1)*(-161*q + 45*q - 122*q - 222*q).\nAnswer: -920*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -b - 15. Solve 2*y = -b + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1355 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -37 + 37. Suppose k = -3*h + 490 - 70. Suppose r = -4*r + h. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 1, q: 2, f: 1, o: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**2 - 2*i + 2*i + (-i + 2*i - 2*i)*(0*i + 0*i - i) - 4*i - 2*i**2 + 4*i + 4*i - 2*i**2 - 4*i)*(4865 + 1541 + 3517 + 1113).\nAnswer: -44144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003247 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 194\/185?\nAnswer: 194\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2746 divided by -543?\nAnswer: -2746\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3328 and 20480?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*k**3 - 3590*k**2 - 8740*k - 2920 = 0 for k.\nAnswer: -2, -2\/5, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -68 (base 13) to base 5.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -106*r + 24. Let f(c) = -427*c + 95. Calculate -3*f(d) + 13*h(d).\nAnswer: -97*d + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28753.\nAnswer: 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 320 by -1.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - -0.2. Let m be (-8)\/6 + (-238)\/(-147). Which is the smallest value? (a) m (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 + 20. Let s be (9\/(-27))\/(w\/(-15)). Is 5 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 349.961532 rounded to one dp?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 136328550*p**6 - 439349052*p**2 wrt p.\nAnswer: 16359426000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 28615, 28614, 28613, 28612?\nAnswer: 28611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000887043 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q = 5*h + 37 - 12, -q - 5 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -76950907082 + 5\nAnswer: -76950907077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12625 equal to 13336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(130) - 2*-5*sqrt(130))\/(-6*sqrt(1210)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12594670 != 12594676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 197 = 2*f + 4*n + 185, n - 180 = 29*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2650, 2553, 2306, 1831, 1050?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.7 times -6\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2, 4, 3, -226, -933, 0 in increasing order.\nAnswer: -933, -226, -3, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/((-96)\/54))\/(5*60\/1150). Let s = -18 - -10. Do s and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1*19.7\nAnswer: -1.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.5 or -1\/10500?\nAnswer: -1\/10500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, 2, 1125, 3\/38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 33 = -17. Suppose 4*i - a = -i. Suppose i*f - 6*f = -16. Solve -5*w + 5 = 0, -f*w + 0*w + 10 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1684 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 835 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 (4 - (-5 + 2)) + -8 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -115, -3, 22, -2 in descending order.\nAnswer: 22, -2, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -128*a + 9 - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -65348 by -62.\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*i + 0 + 0 + 54*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - 2.1. Let s = -209 - -208. What is the closest to 0.1 in -0.4, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1aa9 (base 14) to base 2.\nAnswer: -1001011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 8*q + 3. What is the units digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 9, u: 4, m: 2, f: 1}. Give prob of sequence fm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00083135 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 0, -2, 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, -10, -9.\nAnswer: -10, -9, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1790251387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (70\/(-77))\/(370328\/4114 - 90)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 181978.1kg in nanograms?\nAnswer: 181978100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -12.467 * 124.15.\nAnswer: -1547.77805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 59325.59 centimeters in millimeters?\nAnswer: 593255.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0, 44.\nAnswer: -0.1, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 9. Put 0, -2, b in descending order.\nAnswer: 0, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/2*(0 + -2). Let m be 201\/4 + (-4)\/4. Let p = -49 + m. Is g less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 71*d**2 - 13*d - 3. Let v(y) = 70*y**2 - 14*y - 4. Let n(m) = -3*p(m) + 2*v(m). What is the second derivative of n(b) wrt b?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 8 - 7. Suppose -d - g - 1 = 0, 10 = u*d - 5*d - 4*g. Which is bigger: -2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11\/45 + -1\/45. Which is the nearest to 1\/2? (a) -5 (b) -3\/31 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7586 + 60609\/8. Suppose -13 = 4*u - 5. Calculate the common denominator of (u + (-9)\/(-11))\/1 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (26\/6)\/(2\/6). Suppose v - l = -1. Suppose -i + v = i. Is i smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 6*n**2. Let w be y(-1). Suppose 18 = -0*j + j - 4*f, 3*f = -3*j - w. Suppose m = r - 3*m - 26, 5*m + 46 = j*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -512\/5 + 102. Let d = 1.05 - 1.25. What is the fourth smallest value in o, d, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000338697 to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5533.26 and -366.\nAnswer: -2025173.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 1 = -d, 8*d = 3*d + 4*h + 33. Find the second derivative of -d*k**2 - 10*k**2 + 6*k**2 - 10*k wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 4*z**2 - 2*z - 1. Suppose 0 = 42*x + 25*x - 134. Let i(d) = 9*d**2 - 5*d - 2. Determine x*i(w) - 5*p(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 729 = 254*z - 259*z + 984 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/76 and 115\/28?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -4*a + 96, -7*z + 107 = 3*a - 3*z. What is the greatest common divisor of 232 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -105 - 3*r**3 + r**3 + 105 + 12*r**2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2 - 1)*((1 - 1 + 2)*(-7 + 5 + 3) + 1 + 1 + 0)*(0 - 1 + 3)*((2*s + 0*s + 5*s)*(-2 + 2 - 7) + 2*s - 3*s - s) as g + o*s and give o.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (2349*k + 7087*k + 8203*k + 2529*k - 3568*k)*(4*k + 0*k - 2*k + (0 + 2 - 3)*(2 - 2 - 2*k)) in the form u*k**2 + a + v*k and give u.\nAnswer: 66400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qdjj when four letters picked without replacement from {v: 2, y: 3, n: 3, q: 1, d: 1, j: 2}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 9*t**3 + t**2. Let m(o) = -o**3 + 11*o**2 - 11*o + 11. Let l be m(10). Calculate d(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0065174 to 5 decimal places.\nAnswer: -0.00652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85 divided by -4.\nAnswer: -85\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25\/14 + -135\/154. Suppose -4*k + f = -2*f - 18, 8*k - 2*f = 12. What is the closest to k in 2\/13, -1\/4, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + 13*z**2 + 14*z + 9. Let r be i(-12). Sort 3, -3, r.\nAnswer: r, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52\/(-104)*(1 - 241) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:01 PM and 11:38 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find r such that 9*r**3 + 7770*r**2 - 36603*r - 127596 = 0.\nAnswer: -868, -7\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 + (0 - (6 + -55)). Suppose -3*f + i = 42. Factor -2\/15*v - 2\/15*v**f + 2\/15*v**2 + 2\/15*v**3 + 0.\nAnswer: -2*v*(v - 1)**2*(v + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: In base 12, what is 442b3 - -1?\nAnswer: 442b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -487222, -487223, -487224?\n\"Answer: -b - 487221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 2*c = 6, 3*c = -5 - 10. Let k(i) = -i**3 + 24*i**2 - 145*i + 12. Let z be k(12). Put s, 5, z in descending order.\nAnswer: 5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 2 o, and 1 b when four letters picked without replacement from fbbofdop?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-5 - (-2 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7282952 is divided by 188?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138003.\nAnswer: 3, 157, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 457263572.\nAnswer: 2, 71, 1610083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -8*o**2 - 6*o - 1. Let t be (-209 - 7)*(-3)\/9. Suppose 66 = -q + t. Let d(v) = 7*v**2 + 5*v + 1. Calculate q*d(j) + 5*l(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 7*b = -3*b - 4, 2*b = -3*w + 26. Let k(a) = a - 3. Let z be k(w). Let h(l) = -2*l**2 + 8*l - 4. Let f be h(z). Solve f = -d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(((-20)\/(-28))\/5). Let f(r) = 2*r**2 + 7*r - 16. What is the tens digit of f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*w + 12*w = -266. Let a(x) = -x**2 + 6*x + 7. Determine a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the first derivative of g**4\/4 + 4*g**3\/3 - 5*g**2\/2 + 4*g - 4. Let d be f(-5). Solve -v = 3*v - 3*j + 5, v - 15 = d*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-18)\/((y\/y**7*y)\/y))\/(((y**(-5\/13)*y)\/y*y)\/(y*y**(-5\/9))) assuming y is positive.\nAnswer: y**(-1424\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*r = 20*r + 77. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -105 - -77. Calculate the lowest common multiple of 2 - -14 - d\/(-7) and (2 + 1)\/(3\/20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10.6 - -48.4. Let j = 97 - y. Let w = 38.4 - j. Which is the smallest value? (a) 3 (b) 8 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -i - 103 + 112, 3*i = 2*k - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.48 + 0.6. Let c = f + -0.02. Is c at least as big as 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**2 + 2*o**2 + 0*o**2 + (-1 + 2 - 2)*(-18*o**2 - o**2 + 0*o**2))*(-2*o**2 + 4 - 4).\nAnswer: -40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -0*b + f + 26, -5*f - 52 = -2*b. Let y be (-2)\/(-5) + 64\/(-10). What is the tens digit of (-296)\/y - b\/(-39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23423134 (base 5) in base 4?\nAnswer: 311003032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = -3*k + 28. Let a(f) = f**3 + 5*f**2 - 9*f - 14. Let z be a(k). Solve 2*q + 3 = p + 2, -3*p + 5*q + z = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**3 - 9*r**2 - 2*r + 21. Let h be v(9). Suppose 5*y = 5*x, h*x - y - 20 = -3*y. Let g be -3 - (-3 + x)*-3. Solve -n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1299\/(-12))\/(-26 - -35) - (-372)\/31.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2314 or -2323?\nAnswer: -2323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of 0*r**3 + 3*r**2 + 17 + 1\/270*r**5 + 0*r - 1\/108*r**4. Let h(s) be the second derivative of f(s). Factor h(j).\nAnswer: 2*j*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -v**4 - 2*v**4 + 0*v**4 + (-1 + 2 - 3)*(-5 + 5 - 2*v**4) + (0*v - 3*v + 2*v)*(-4*v**3 - 8*v**3 - 16*v**3) + 0*v**2 + v**4 + 0*v**2.\nAnswer: 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 1952960 = 47037*a - 32677*a for a.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16139 - 16139. What is the biggest value in 0.2, -0.409, 2\/21, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 139b4a (base 14) to base 10.\nAnswer: 679990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/146 and -65\/18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7798, 7827, 7856, 7885?\nAnswer: 7914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 0*n**2 - n**2 + 32 - 48 + 21. What is t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 247409 + -247404. Suppose 0*r - 5*r - 3*y = -323, 0 = 5*y - 5. What is the third smallest value in 2\/11, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -91.9 + 2.9. Let u = d + 84.9. Let r = u - -4. Which is the closest to r? (a) 2 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 856.312 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and 3580.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 10919677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/42120 and -113\/2166?\nAnswer: 15205320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18025 and 12010418?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -t**3 - 8*t**3 + 4*t**3 + (-3*t**2 - 1 + 1)*(-3 + 3 - 2*t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1248 = -5323*u + 5307*u for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -q*r**3*t**2 - 59*q*r**2*t**2 + 4*q*r*t**2 - 4*q*t - q + 36*r**4 + 4388*r**3*t**2 - 10*r**2*t**2 - 2*r*t**2 wrt r.\nAnswer: -6*q*t**2 + 864*r + 26328*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -5*b**2 + 7. Let y(x) = 3479*x. What is h(y(u))?\nAnswer: -60517205*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be 28*6\/(-60)*-5. Solve -w*n + 17*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 15) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30688 divided by 7672.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 AM and 12:12 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 64229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffgffzafzfsfvf. What is prob of sequence zz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 370 greater than 406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (20 - 11)*(0\/3 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 742944660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -31? (a) 0.1 (b) 5 (c) -401575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 + b + 2. Let u(r) = -2*r**3 - 12*r**2 - 4*r - 27. Let t be u(-6). What is y(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -423.99 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -6. Suppose v*s + 94099 = s. Let b = s - 164099. What is b rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**2 - 18*q. Determine y(16).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of -565*o**4\/4 - 5719*o - 4718. What is the derivative of w(i) wrt i?\nAnswer: -1695*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -397, -1613, -3639, -6475, -10121, -14577, -19843?\n\"Answer: -405*m**2 - m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -15, 2*l + 3*k = -3*l + 25. Suppose n + 5 - 38 = -b, l*n = -3*b + 71. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -811561350 to the nearest one million.\nAnswer: -812000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rfrrffrr. Give prob of sequence rrff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3772 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4431 - 9116 - x + 4685.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/2704*-24*(-65)\/(-10).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 3*j - 3*v, 12 = 3*j - 5*v + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -2*d. Let s(q) be the first derivative of 46*q**3\/3 + 26. What is s(t(r))?\nAnswer: 184*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 7 + n**3 - 2 - 3*n**3 + n**2 in the form y + c*n**3 + u*n + b*n**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i - j - 11 = 0, j + 202 = 3*i + 185 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z**2 + 50*z**2 - 29*z**2 - 22*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 2:33 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 12. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 e, and 2 v when four letters picked without replacement from doevvqqecded?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (8\/(-20))\/((-2)\/(-110)). Let q = 16 + a. Let c(l) be the first derivative of l**4\/4 + 5*l**3\/3 - 3*l**2 - 4*l + 3. What is c(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 2 + -4*(sqrt(76) + 1) - 2*((-1*sqrt(1216) + -1 - sqrt(1216)) + 0))**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15? (a) 3\/4 (b) 2\/5 (c) -2\/19 (d) -0.1 (e) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -9.29 * -1.23\nAnswer: 11.4267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (200\/3150)\/(10\/(-45)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 at least -36461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**2 - 6*v - 6. Let x be b(-5). Let y be (6\/(-2))\/((-2)\/(-2)). Put y, x, 0 in decreasing order.\nAnswer: 0, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -5*s**2 - s + 1. Let m be t(1). Let d(f) = 0*f**2 - 1 + 3*f + 2*f + f**2. Let z be d(m). Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -7*y + 4*y. Let a = -7256 + 7263. Calculate the greatest common factor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from rrrarrrar.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 335 is divided by 108?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -51.99999843 + 52. Round j to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*s**3 - 1028*s**2 + 4976*s - 1180.\nAnswer: 4*(s - 59)*(s - 5)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 3*r**2 - 6*r + 3. Let h be m(4). Let w(f) = -f**3 - 8*f**2 - 8. Let t(u) = -u**3 - 7*u**2 - 7. Give h*w(d) + 6*t(d).\nAnswer: -d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-3)*y\/y**(2\/15))\/(y*y**1\/y)**(-15)*(((y*(y**(3\/4)\/y*y)\/y*y*y)\/y)\/y**(-5\/3))**6 assuming y is positive.\nAnswer: y**(1001\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hnhhhhkkhhhnh. What is prob of sequence hh?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.03 + -4. Let w = 1.03 - f. Which is smaller: -3\/5 or w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -138*y**3 + 71*y**3 + 2*y**2 - 4*y + 65*y**3 as i*y**3 + z*y**2 + l*y + m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y**3 + y**3 - 2210*y - y**3 + 2210*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 293386 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 41 + -163\/4. Factor 0 - x*j**4 + 1\/4*j + 1\/4*j**2 - 1\/4*j**3.\nAnswer: -j*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -208, -6, 35, 3.\nAnswer: -208, -6, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 725216101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/118 and (93\/(-18) - -5)*(-804)\/944.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0 (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 3*o = -2*f - 7, -o = 5*f + 1. Let a(y) = -y**2 - 19*y + 7. What is the units digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1813\/2428 - -2\/607. Let z = -185 - -180. What is the closest to 0 in y, -1, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -1009*g - 19163. Calculate y(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*(2 + -3*2). Let p be (-1)\/x + (-51)\/(-12). Find the third derivative of j**p - j**2 - 4*j + 4*j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 66985343 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2180 + 2107.85. Let c = w - -72. What is the nearest to -0.1 in c, 2, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**3 + 5*g**2 + 4*g + 6. Let b be i(-4). Solve -5*q = -5*x - 1 + 16, -2*x = 3*q - b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-1 + -76)*(-9)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 3*d + 416709, -20*d + 19*d - 3*j = 138891. Round d to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 6*o + 2*o = 650, 3*v - o = 662. Suppose -a + v = 50. Is 46 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1 from -34858.752958628.\nAnswer: -34857.752958628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 290334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*v + 3*j, 4*v = -j + 3*j + 4. Solve v = -3*o + 16 - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 + 9*y**2 + 2*y + 5. Suppose -5*k = -40*v + 44*v - 117, 0 = 2*v - 3*k - 97. Calculate the remainder when l(5) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + (27 - 14) + -279 + 219.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 7, v: 6, p: 2, g: 1, y: 2}. Give prob of picking 1 v and 2 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = -6*h - 5*k, 1679*k = -3*h + 1680*k + 15. Let l(g) = 2*g - 2. Let t be l(3). Solve 2 = 2*y - 2*m, h*y - 2 = 4*y + t*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 95 + -45. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*n - n + 3680. What is the greatest common divisor of n and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x*(x**3*x)\/x)**(2\/89))**(-23) assuming x is positive.\nAnswer: x**(-230\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5406)\/636)\/(2\/6)*(-9)\/(243\/(-36))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**3 + 8*v**2 + 2*v + 17. Let x be t(-8). Let k be 3\/46*8\/(-6). Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*t + 0*t + 0*t)*(2*t + 2 - 2) - 2*t**2 - 2*t**2 + t**2 to the form p + k*t**2 + f*t and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most -62315929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/((-4)\/8)*4\/(-8). Find the common denominator of (1\/(-4))\/(3\/594) - h and 19\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20796 divided by -1733?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 26700 divided by 5340\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 3*g**2 + 5*g + 6. Let q(s) = 2*s**2 + 7*s + 1. Let p(d) = 4*q(d) - 3*t(d). Determine p(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 399171103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -168.88 + 168.8819506. Round h to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 140*q + 26. Let d(w) = 139*w + 38. What is -3*a(u) + 2*d(u)?\nAnswer: -142*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-4) - 122070\/(-229116).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2385525?\nAnswer: 3, 5, 17, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40.24 + 0.24. Let q = y - -42. What is the closest to 0.1 in 2\/9, q, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (75\/45)\/(3*20\/36)*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 27 and 3760065.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/(z*(z\/z**5)\/z)))\/(((z**(-3\/5)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the first derivative of -q**2\/2 + 12*q - 1. Let z be n(7). Let p be -4*(-2 + 1)*1. Solve 21 = -0*h - z*h + i, -4*i = -p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3921934066 to the power of 1\/2, to the nearest integer?\nAnswer: 62625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1420 - 3?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 183 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1396758523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 - 8. Suppose t = -2*d + 257 + 975. Let f = d - 437. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -20002*h**3 - h**2 - 267*h + 32776097 wrt h.\nAnswer: -60006*h**2 - 2*h - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (24\/14)\/((-12)\/(-42)). Suppose -b*u + 255 = -u. Suppose -5*x + 41 = 3*s, 3*s + 4*x - u = -8. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -9 - (6\/(-9) - (-434154)\/(-52038)). Let x = -11 + 12. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q**3 - q**2 - q - 1. Let g be l(2). Suppose 15 = 12*u - g. Is 1\/u + (-35623)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -6*f**2 - 753*f - 3622. Calculate s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 7940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.61 + 1.91. Let k = 1 + -2. Let f = k + 5. What is the third smallest value in g, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4 - 1948*j**3 + 1936*j**2 + 9724*j + 5838.\nAnswer: 2*(j - 973)*(j - 3)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 8*g**2 - 6*g**2 + 8*g**2 + 9*g**2. Let u(a) = a**2. What is u(n(l))?\nAnswer: 361*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-14))\/(-1*(-6)\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -2*c**5\/11 + 366214*c**4\/11 + 732436*c**3\/11 = 0. Calculate c.\nAnswer: -2, 0, 183109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*-4)\/((-244)\/(-366)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8246 - 8237. Calculate the least common multiple of b and ((-2)\/1)\/((-2)\/33).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 330715*n**6 + 40*n**5 + 2*n**3 + 102263*n**2 + 1701 wrt n?\nAnswer: 39685800*n**3 + 2400*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 2*z, n + 2*z = 50. Let h = -30 + n. Suppose -3 = -3*u, 2 + h = 4*q + 2*u. Solve -3*l - 10 = f + 4*f, q*l - 50 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 429*a - 317*a - 454*a.\nAnswer: -342*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2694510983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*c = -14*c - 246 - 466 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 - -12. Let p = -338.1 - -353. Let i = p - 15. What is the closest to i in -0.2, 3, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 4*i - i**3 - 5*i**2 - 20 - 39 - 4*i**2 - 6 + 6*i. List the prime factors of h(-12).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47308645?\nAnswer: 5, 9461729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(2*(4 + 2*((1 + sqrt(448) + sqrt(448))*4 + sqrt(448))))**2.\nAnswer: -2905920 - 69120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 7*u + 3*u = 0, 0 = t - u - 1. Let h = -4088 + 32663\/8. Calculate the common denominator of (3 - -11)*(t - -6) and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -92*i**4 - 33 + 34 - 101*i**4 + 9*i**4 - 2*i to m*i + n*i**4 + q*i**2 + h*i**3 + t and give n.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hlhllhlhhhhvh.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170 = -6*a + 592. Suppose 5*y**3 - 127*y + a*y = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 114 - 108 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 22\/14885 and -6\/68471.\nAnswer: 342355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3750 + 3772. Solve -y + 12 = 10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*g**3*h**2*i - 16*g**3 - 892*g**2*i**2 + 13*g*h**2*i + 3*h**2*i + 2*h*i**2 - i wrt g.\nAnswer: 18*g*h**2*i - 96*g - 1784*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2421, -2194, -1573, -360, 1643, 4634, 8811, 14372?\nAnswer: 21515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.05 + 0.08. Let q = 417 - 835. Let y = -423 - q. Sort y, o, 3.\nAnswer: y, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.8 + 0.8. Let c = -9477 - -56857\/6. What is the closest to g in c, 0.13, -3\/2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8916 - -8918. Which is the closest to k? (a) 90 (b) 0.2 (c) -5\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*2)\/4*((-20)\/12)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 12:29 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*810110.1.\nAnswer: -243033.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4*w - 2 = -0, 2*w - 2 = 0. Let j = d - -2. Let l(a) = -a + j*a - 7 + 2*a + 0. Give l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r = 5*x - 2*r - 69, -1106*r + 38 = 2*x - 1110*r for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/(20\/(-14)) - 3\/6. Solve -3*p - 4*d + 12 = 0, -n*p = p + 4*d - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69267506 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2a3b + -2a6?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14573000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 667*c**5 + 3 + 694*c**3 - 290*c**2 - 345*c**3 - 350*c**3 - 38*c**5 wrt c?\nAnswer: 37740*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*f**2 + f**4 + 0*f**2 + 0*f**2)*(4 + 5 - 4)*(-6 + 0 + 4) - 4*f**3 + 4*f**3 + 5*f**4 in the form w*f + l*f**2 + a*f**3 + g + m*f**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1383905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 10771815073 + -291.\nAnswer: 10771814782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-74 + 82)*(-2)\/(-4). Let o = -7 + 12. What is j in -15*j**o + 2*j**t - 5*j + 16*j**5 - 2*j**2 + 0*j**4 + 4*j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 + 5*n**2 + n + 7. Let u(v) = -v**2 - 9*v + 8. What is the smallest common multiple of u(-7) and p(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10403234 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 76*a - 75*a + 21042, 5*a = -3*d + 15747. List the prime factors of d.\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(-2 - (-6)\/4). Let r be ((-6)\/18)\/(1\/(-30)). Calculate the remainder when z\/(-5) - (-244)\/r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 38 - s + 28 + 27 - 89. Let g = 6 - 10. Let l = 8 - g. Let v(h) = 2*h - 10. What is l*w(u) + 5*v(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1458, 1365, 1274, 1185, 1098?\n\"Answer: r**2 - 96*r + 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4956302532.\nAnswer: 2, 3, 19, 163, 193, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 28350194189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjjccjjccjjjjjcccj. What is prob of picking 2 j and 1 c?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 915\/598 - 9\/299. Which is the nearest to 22? (a) l (b) -0.2 (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -3*b + 11. Let a be j(2). Let l(q) = -7*q**3 - 5*q**2 - 5*q + 5. Let r(k) = 8*k**3 + 6*k**2 + 6*k - 6. Give a*r(d) + 6*l(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 - 8*f - 2. Let r be i(8). Let g(m) = 2*m**2 + 3*m + 2. Let y be g(r). Suppose y*p - 106 + 14 = 0. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8694 - -9244. Let n(t) = t + 7. What is the lowest common multiple of n(-5) and y?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 2*t + 67 + 113 = 0, -4*q = -5*t - 208. Let c = q + -6. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 14073112 and -0.2.\nAnswer: -2814622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 56 + -34. Find the second derivative of -9*b**2 + 15 + 5*b - q + 7 wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of f**7\/735 + 4*f**6\/35 + 311*f**5\/105 + 92*f**4\/7 + 529*f**3\/21 - 24*f**2 - 2. Determine b so that i(b) = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x**4\/4 - 31*x**3\/4 + 823*x**2\/4 + 25735*x\/4 + 12441\/2 = 0.\nAnswer: -33, -26, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 2*m - 8, 4*m - 2*q + 5 = 17. What is the smallest value in m, 1, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**3 - 10*o**2 - 12*o + 8. Calculate the remainder when h(-9) is divided by ((-18)\/5)\/((-7)\/35).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32*q - 58*q + 38*q to y + b*q and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y*y**2*y*y*y*y)\/y)\/(y\/(y*y\/(y*y*(((y\/y**(8\/7))\/y)\/y)\/y))))**(35\/4) assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -16382800 rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/9, -12, 2, 3, 0.28 in ascending order.\nAnswer: -12, -4\/9, 0.28, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 3*i - 3*b - 23, -80 = -4*i + 5*b. What is the units digit of 1 - (3 - 2) - (0 - i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) -5 (d) 0.1 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -9155*h**2. Let x(v) = -156*v**2. What is k(x(n))?\nAnswer: -222796080*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/u**26)\/u)\/(u*(u**(-8\/11)*u)\/u*u)*((u\/u**3*u)\/u)\/((u\/u**(11\/5))\/u))**(2\/21) assuming u is positive.\nAnswer: u**(-2978\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of -x**7\/70 - 43*x**6\/20 - 63*x**5\/5 - 125*x**4\/4 - 83*x**3\/2 - 68*x**2 + 2*x. Determine o, given that q(o) = 0.\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24662*f**2 + 12363*f**2 + 12343*f**2 + 29 - 31.\nAnswer: 44*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36981436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is u in -5*u**2 - 27675*u + 55370 = 0?\nAnswer: -5537, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-72)\/16)\/(-9)*106. Suppose 4*t = 3*a - 63, -51*t + g*t = -5*a + 105. Calculate the highest common factor of a and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -33*b - 1. Let r be c(-1). Let z = -982 + 979. What is the units digit of 1 - z\/(3\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13747*d + 86618*d - 4*d**2 + 17859*d.\nAnswer: -4*d**2 + 118224*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -404.3 - -74.3. Let g = 314.3 + x. Let k = 15.70000223 + g. Round k to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1574450604 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 70 - (-13 - -53 - -4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1001*u - 374 = -1002*u. Is u a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.1, -0.3, 333?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooc when three letters picked without replacement from cocooooooocccooo?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1057*p - 603*p - 587 + 292 + 295.\nAnswer: -1660*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 29 + 70. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.2 (c) 1\/9 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 5, g: 1, h: 2, w: 1, b: 4, e: 2}. Give prob of picking 3 b and 1 j.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 8*a**2 - 272*a - 12249. Determine h(-26).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2*j**2)*(-9 + 2 - 2) - 14914 + 14914 - 7*j**2 - 8*j.\nAnswer: -25*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}